/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


KILLED
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 207 ms]
(4) CpxRelTRS
(5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(6) CpxRelTRS
    (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (8) typed CpxTrs
    (9) OrderProof [LOWER BOUND(ID), 0 ms]
    (10) typed CpxTrs
    (11) RewriteLemmaProof [LOWER BOUND(ID), 398 ms]
    (12) BOUNDS(1, INF)
(13) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(14) TRS for Loop Detection
(15) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(16) CpxTRS
(17) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
    (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (22) CpxTypedWeightedTrs
    (23) CompletionProof [UPPER BOUND(ID), 0 ms]
    (24) CpxTypedWeightedCompleteTrs
        (25) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 16 ms]
        (26) CpxRNTS
    (27) CompletionProof [UPPER BOUND(ID), 0 ms]
    (28) CpxTypedWeightedCompleteTrs
        (29) NarrowingProof [BOTH BOUNDS(ID, ID), 14.4 s]
        (30) CpxTypedWeightedCompleteTrs
        (31) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 8 ms]
        (32) CpxRNTS
        (33) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (34) CpxRNTS
(35) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
(36) CdtProblem
    (37) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (38) CdtProblem
    (39) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (40) CdtProblem
    (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (42) CdtProblem
    (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (44) CdtProblem
    (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 5 ms]
    (46) CdtProblem
    (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (48) CdtProblem
    (49) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (50) CdtProblem
    (51) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (52) CdtProblem
    (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (54) CdtProblem
    (55) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (56) CdtProblem
    (57) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (58) CdtProblem
    (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 14 ms]
    (60) CdtProblem
    (61) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (62) CdtProblem
    (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (64) CdtProblem
    (65) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (66) CdtProblem
    (67) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (68) CdtProblem
    (69) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (70) CdtProblem
    (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (72) CdtProblem
    (73) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (74) CdtProblem
    (75) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (76) CdtProblem
    (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 21 ms]
    (78) CdtProblem
    (79) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (80) CdtProblem
    (81) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (82) CdtProblem
    (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (84) CdtProblem
    (85) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (86) CdtProblem
    (87) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (88) CdtProblem
    (89) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (90) CdtProblem
    (91) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (92) CdtProblem
    (93) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (94) CdtProblem
    (95) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (96) CdtProblem
    (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (98) CdtProblem
    (99) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (100) CdtProblem
    (101) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (102) CdtProblem
    (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (104) CdtProblem
    (105) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (106) CdtProblem
    (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 17 ms]
    (108) CdtProblem
    (109) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (110) CdtProblem
    (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (112) CdtProblem
    (113) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (114) CdtProblem
    (115) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 28 ms]
    (116) CdtProblem
    (117) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (118) CdtProblem
    (119) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (120) CdtProblem
    (121) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (122) CdtProblem
    (123) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7 ms]
    (124) CdtProblem
    (125) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (126) CdtProblem
    (127) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (128) CdtProblem
    (129) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (130) CdtProblem
    (131) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 763 ms]
    (132) CdtProblem
    (133) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 9501 ms]
    (134) CdtProblem


----------------------------------------

(0)
Obligation:
The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   sortSu(circ(sortSu(cons(te(a), sortSu(s))), sortSu(t))) -> sortSu(cons(te(msubst(te(a), sortSu(t))), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(cons(te(a), sortSu(t))))) -> sortSu(cons(te(a), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(cons(sop(lift), sortSu(t))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(circ(sortSu(s), sortSu(t))), sortSu(u))) -> sortSu(circ(sortSu(s), sortSu(circ(sortSu(t), sortSu(u)))))
   sortSu(circ(sortSu(s), sortSu(id))) -> sortSu(s)
   sortSu(circ(sortSu(id), sortSu(s))) -> sortSu(s)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(circ(sortSu(cons(sop(lift), sortSu(t))), sortSu(u))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))), sortSu(u)))
   te(subst(te(a), sortSu(id))) -> te(a)
   te(msubst(te(a), sortSu(id))) -> te(a)
   te(msubst(te(msubst(te(a), sortSu(s))), sortSu(t))) -> te(msubst(te(a), sortSu(circ(sortSu(s), sortSu(t)))))

S is empty.
Rewrite Strategy: INNERMOST
----------------------------------------

(1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID))
The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem:

   encArg(circ(x_1, x_2)) -> circ(encArg(x_1), encArg(x_2))
   encArg(cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(msubst(x_1, x_2)) -> msubst(encArg(x_1), encArg(x_2))
   encArg(sop(x_1)) -> sop(encArg(x_1))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(x_1, x_2)) -> subst(encArg(x_1), encArg(x_2))
   encArg(cons_sortSu(x_1)) -> sortSu(encArg(x_1))
   encArg(cons_te(x_1)) -> te(encArg(x_1))
   encode_sortSu(x_1) -> sortSu(encArg(x_1))
   encode_circ(x_1, x_2) -> circ(encArg(x_1), encArg(x_2))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_te(x_1) -> te(encArg(x_1))
   encode_msubst(x_1, x_2) -> msubst(encArg(x_1), encArg(x_2))
   encode_sop(x_1) -> sop(encArg(x_1))
   encode_lift -> lift
   encode_id -> id
   encode_subst(x_1, x_2) -> subst(encArg(x_1), encArg(x_2))


----------------------------------------

(2)
Obligation:
The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   sortSu(circ(sortSu(cons(te(a), sortSu(s))), sortSu(t))) -> sortSu(cons(te(msubst(te(a), sortSu(t))), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(cons(te(a), sortSu(t))))) -> sortSu(cons(te(a), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(cons(sop(lift), sortSu(t))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(circ(sortSu(s), sortSu(t))), sortSu(u))) -> sortSu(circ(sortSu(s), sortSu(circ(sortSu(t), sortSu(u)))))
   sortSu(circ(sortSu(s), sortSu(id))) -> sortSu(s)
   sortSu(circ(sortSu(id), sortSu(s))) -> sortSu(s)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(circ(sortSu(cons(sop(lift), sortSu(t))), sortSu(u))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))), sortSu(u)))
   te(subst(te(a), sortSu(id))) -> te(a)
   te(msubst(te(a), sortSu(id))) -> te(a)
   te(msubst(te(msubst(te(a), sortSu(s))), sortSu(t))) -> te(msubst(te(a), sortSu(circ(sortSu(s), sortSu(t)))))

The (relative) TRS S consists of the following rules:

   encArg(circ(x_1, x_2)) -> circ(encArg(x_1), encArg(x_2))
   encArg(cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(msubst(x_1, x_2)) -> msubst(encArg(x_1), encArg(x_2))
   encArg(sop(x_1)) -> sop(encArg(x_1))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(x_1, x_2)) -> subst(encArg(x_1), encArg(x_2))
   encArg(cons_sortSu(x_1)) -> sortSu(encArg(x_1))
   encArg(cons_te(x_1)) -> te(encArg(x_1))
   encode_sortSu(x_1) -> sortSu(encArg(x_1))
   encode_circ(x_1, x_2) -> circ(encArg(x_1), encArg(x_2))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_te(x_1) -> te(encArg(x_1))
   encode_msubst(x_1, x_2) -> msubst(encArg(x_1), encArg(x_2))
   encode_sop(x_1) -> sop(encArg(x_1))
   encode_lift -> lift
   encode_id -> id
   encode_subst(x_1, x_2) -> subst(encArg(x_1), encArg(x_2))

Rewrite Strategy: INNERMOST
----------------------------------------

(3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID))
proved innermost termination of relative rules
----------------------------------------

(4)
Obligation:
The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   sortSu(circ(sortSu(cons(te(a), sortSu(s))), sortSu(t))) -> sortSu(cons(te(msubst(te(a), sortSu(t))), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(cons(te(a), sortSu(t))))) -> sortSu(cons(te(a), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(cons(sop(lift), sortSu(t))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(circ(sortSu(s), sortSu(t))), sortSu(u))) -> sortSu(circ(sortSu(s), sortSu(circ(sortSu(t), sortSu(u)))))
   sortSu(circ(sortSu(s), sortSu(id))) -> sortSu(s)
   sortSu(circ(sortSu(id), sortSu(s))) -> sortSu(s)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(circ(sortSu(cons(sop(lift), sortSu(t))), sortSu(u))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))), sortSu(u)))
   te(subst(te(a), sortSu(id))) -> te(a)
   te(msubst(te(a), sortSu(id))) -> te(a)
   te(msubst(te(msubst(te(a), sortSu(s))), sortSu(t))) -> te(msubst(te(a), sortSu(circ(sortSu(s), sortSu(t)))))

The (relative) TRS S consists of the following rules:

   encArg(circ(x_1, x_2)) -> circ(encArg(x_1), encArg(x_2))
   encArg(cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(msubst(x_1, x_2)) -> msubst(encArg(x_1), encArg(x_2))
   encArg(sop(x_1)) -> sop(encArg(x_1))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(x_1, x_2)) -> subst(encArg(x_1), encArg(x_2))
   encArg(cons_sortSu(x_1)) -> sortSu(encArg(x_1))
   encArg(cons_te(x_1)) -> te(encArg(x_1))
   encode_sortSu(x_1) -> sortSu(encArg(x_1))
   encode_circ(x_1, x_2) -> circ(encArg(x_1), encArg(x_2))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_te(x_1) -> te(encArg(x_1))
   encode_msubst(x_1, x_2) -> msubst(encArg(x_1), encArg(x_2))
   encode_sop(x_1) -> sop(encArg(x_1))
   encode_lift -> lift
   encode_id -> id
   encode_subst(x_1, x_2) -> subst(encArg(x_1), encArg(x_2))

Rewrite Strategy: INNERMOST
----------------------------------------

(5) RenamingProof (BOTH BOUNDS(ID, ID))
Renamed function symbols to avoid clashes with predefined symbol.
----------------------------------------

(6)
Obligation:
The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   sortSu(circ(sortSu(cons(te(a), sortSu(s))), sortSu(t))) -> sortSu(cons(te(msubst(te(a), sortSu(t))), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(cons(te(a), sortSu(t))))) -> sortSu(cons(te(a), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(cons(sop(lift), sortSu(t))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(circ(sortSu(s), sortSu(t))), sortSu(u))) -> sortSu(circ(sortSu(s), sortSu(circ(sortSu(t), sortSu(u)))))
   sortSu(circ(sortSu(s), sortSu(id))) -> sortSu(s)
   sortSu(circ(sortSu(id), sortSu(s))) -> sortSu(s)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(circ(sortSu(cons(sop(lift), sortSu(t))), sortSu(u))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))), sortSu(u)))
   te(subst(te(a), sortSu(id))) -> te(a)
   te(msubst(te(a), sortSu(id))) -> te(a)
   te(msubst(te(msubst(te(a), sortSu(s))), sortSu(t))) -> te(msubst(te(a), sortSu(circ(sortSu(s), sortSu(t)))))

The (relative) TRS S consists of the following rules:

   encArg(circ(x_1, x_2)) -> circ(encArg(x_1), encArg(x_2))
   encArg(cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(msubst(x_1, x_2)) -> msubst(encArg(x_1), encArg(x_2))
   encArg(sop(x_1)) -> sop(encArg(x_1))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(x_1, x_2)) -> subst(encArg(x_1), encArg(x_2))
   encArg(cons_sortSu(x_1)) -> sortSu(encArg(x_1))
   encArg(cons_te(x_1)) -> te(encArg(x_1))
   encode_sortSu(x_1) -> sortSu(encArg(x_1))
   encode_circ(x_1, x_2) -> circ(encArg(x_1), encArg(x_2))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_te(x_1) -> te(encArg(x_1))
   encode_msubst(x_1, x_2) -> msubst(encArg(x_1), encArg(x_2))
   encode_sop(x_1) -> sop(encArg(x_1))
   encode_lift -> lift
   encode_id -> id
   encode_subst(x_1, x_2) -> subst(encArg(x_1), encArg(x_2))

Rewrite Strategy: INNERMOST
----------------------------------------

(7) TypeInferenceProof (BOTH BOUNDS(ID, ID))
Infered types.
----------------------------------------

(8)
Obligation:
Innermost TRS:
Rules:
sortSu(circ(sortSu(cons(te(a), sortSu(s))), sortSu(t))) -> sortSu(cons(te(msubst(te(a), sortSu(t))), sortSu(circ(sortSu(s), sortSu(t)))))
sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(cons(te(a), sortSu(t))))) -> sortSu(cons(te(a), sortSu(circ(sortSu(s), sortSu(t)))))
sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(cons(sop(lift), sortSu(t))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t)))))
sortSu(circ(sortSu(circ(sortSu(s), sortSu(t))), sortSu(u))) -> sortSu(circ(sortSu(s), sortSu(circ(sortSu(t), sortSu(u)))))
sortSu(circ(sortSu(s), sortSu(id))) -> sortSu(s)
sortSu(circ(sortSu(id), sortSu(s))) -> sortSu(s)
sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(circ(sortSu(cons(sop(lift), sortSu(t))), sortSu(u))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))), sortSu(u)))
te(subst(te(a), sortSu(id))) -> te(a)
te(msubst(te(a), sortSu(id))) -> te(a)
te(msubst(te(msubst(te(a), sortSu(s))), sortSu(t))) -> te(msubst(te(a), sortSu(circ(sortSu(s), sortSu(t)))))
encArg(circ(x_1, x_2)) -> circ(encArg(x_1), encArg(x_2))
encArg(cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
encArg(msubst(x_1, x_2)) -> msubst(encArg(x_1), encArg(x_2))
encArg(sop(x_1)) -> sop(encArg(x_1))
encArg(lift) -> lift
encArg(id) -> id
encArg(subst(x_1, x_2)) -> subst(encArg(x_1), encArg(x_2))
encArg(cons_sortSu(x_1)) -> sortSu(encArg(x_1))
encArg(cons_te(x_1)) -> te(encArg(x_1))
encode_sortSu(x_1) -> sortSu(encArg(x_1))
encode_circ(x_1, x_2) -> circ(encArg(x_1), encArg(x_2))
encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
encode_te(x_1) -> te(encArg(x_1))
encode_msubst(x_1, x_2) -> msubst(encArg(x_1), encArg(x_2))
encode_sop(x_1) -> sop(encArg(x_1))
encode_lift -> lift
encode_id -> id
encode_subst(x_1, x_2) -> subst(encArg(x_1), encArg(x_2))

Types:
sortSu :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
circ :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
cons :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
te :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
msubst :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
sop :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
lift :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
id :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
subst :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encArg :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
cons_sortSu :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
cons_te :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_sortSu :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_circ :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_cons :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_te :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_msubst :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_sop :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_lift :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_id :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_subst :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
hole_cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te1_0 :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
gen_cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te2_0 :: Nat -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te

----------------------------------------

(9) OrderProof (LOWER BOUND(ID))
Heuristically decided to analyse the following defined symbols:
sortSu, te, encArg

They will be analysed ascendingly in the following order:
sortSu = te
sortSu < encArg
te < encArg

----------------------------------------

(10)
Obligation:
Innermost TRS:
Rules:
sortSu(circ(sortSu(cons(te(a), sortSu(s))), sortSu(t))) -> sortSu(cons(te(msubst(te(a), sortSu(t))), sortSu(circ(sortSu(s), sortSu(t)))))
sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(cons(te(a), sortSu(t))))) -> sortSu(cons(te(a), sortSu(circ(sortSu(s), sortSu(t)))))
sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(cons(sop(lift), sortSu(t))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t)))))
sortSu(circ(sortSu(circ(sortSu(s), sortSu(t))), sortSu(u))) -> sortSu(circ(sortSu(s), sortSu(circ(sortSu(t), sortSu(u)))))
sortSu(circ(sortSu(s), sortSu(id))) -> sortSu(s)
sortSu(circ(sortSu(id), sortSu(s))) -> sortSu(s)
sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(circ(sortSu(cons(sop(lift), sortSu(t))), sortSu(u))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))), sortSu(u)))
te(subst(te(a), sortSu(id))) -> te(a)
te(msubst(te(a), sortSu(id))) -> te(a)
te(msubst(te(msubst(te(a), sortSu(s))), sortSu(t))) -> te(msubst(te(a), sortSu(circ(sortSu(s), sortSu(t)))))
encArg(circ(x_1, x_2)) -> circ(encArg(x_1), encArg(x_2))
encArg(cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
encArg(msubst(x_1, x_2)) -> msubst(encArg(x_1), encArg(x_2))
encArg(sop(x_1)) -> sop(encArg(x_1))
encArg(lift) -> lift
encArg(id) -> id
encArg(subst(x_1, x_2)) -> subst(encArg(x_1), encArg(x_2))
encArg(cons_sortSu(x_1)) -> sortSu(encArg(x_1))
encArg(cons_te(x_1)) -> te(encArg(x_1))
encode_sortSu(x_1) -> sortSu(encArg(x_1))
encode_circ(x_1, x_2) -> circ(encArg(x_1), encArg(x_2))
encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
encode_te(x_1) -> te(encArg(x_1))
encode_msubst(x_1, x_2) -> msubst(encArg(x_1), encArg(x_2))
encode_sop(x_1) -> sop(encArg(x_1))
encode_lift -> lift
encode_id -> id
encode_subst(x_1, x_2) -> subst(encArg(x_1), encArg(x_2))

Types:
sortSu :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
circ :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
cons :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
te :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
msubst :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
sop :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
lift :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
id :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
subst :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encArg :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
cons_sortSu :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
cons_te :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_sortSu :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_circ :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_cons :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_te :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_msubst :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_sop :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_lift :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_id :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
encode_subst :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
hole_cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te1_0 :: cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te
gen_cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te2_0 :: Nat -> cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te


Generator Equations:
gen_cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te2_0(0) <=> lift
gen_cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te2_0(+(x, 1)) <=> circ(lift, gen_cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te2_0(x))


The following defined symbols remain to be analysed:
te, sortSu, encArg

They will be analysed ascendingly in the following order:
sortSu = te
sortSu < encArg
te < encArg

----------------------------------------

(11) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
encArg(gen_cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te2_0(n423_0)) -> gen_cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te2_0(n423_0), rt in Omega(0)

Induction Base:
encArg(gen_cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te2_0(0)) ->_R^Omega(0)
lift

Induction Step:
encArg(gen_cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te2_0(+(n423_0, 1))) ->_R^Omega(0)
circ(encArg(lift), encArg(gen_cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te2_0(n423_0))) ->_R^Omega(0)
circ(lift, encArg(gen_cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te2_0(n423_0))) ->_IH
circ(lift, gen_cons:circ:msubst:lift:sop:id:subst:cons_sortSu:cons_te2_0(c424_0))

We have rt in Omega(1) and sz in O(n). Thus, we have irc_R in Omega(n^0).
----------------------------------------

(12)
BOUNDS(1, INF)

----------------------------------------

(13) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID))
Transformed a relative TRS into a decreasing-loop problem.
----------------------------------------

(14)
Obligation:
Analyzing the following TRS for decreasing loops:

The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   sortSu(circ(sortSu(cons(te(a), sortSu(s))), sortSu(t))) -> sortSu(cons(te(msubst(te(a), sortSu(t))), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(cons(te(a), sortSu(t))))) -> sortSu(cons(te(a), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(cons(sop(lift), sortSu(t))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(circ(sortSu(s), sortSu(t))), sortSu(u))) -> sortSu(circ(sortSu(s), sortSu(circ(sortSu(t), sortSu(u)))))
   sortSu(circ(sortSu(s), sortSu(id))) -> sortSu(s)
   sortSu(circ(sortSu(id), sortSu(s))) -> sortSu(s)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(circ(sortSu(cons(sop(lift), sortSu(t))), sortSu(u))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))), sortSu(u)))
   te(subst(te(a), sortSu(id))) -> te(a)
   te(msubst(te(a), sortSu(id))) -> te(a)
   te(msubst(te(msubst(te(a), sortSu(s))), sortSu(t))) -> te(msubst(te(a), sortSu(circ(sortSu(s), sortSu(t)))))

The (relative) TRS S consists of the following rules:

   encArg(circ(x_1, x_2)) -> circ(encArg(x_1), encArg(x_2))
   encArg(cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(msubst(x_1, x_2)) -> msubst(encArg(x_1), encArg(x_2))
   encArg(sop(x_1)) -> sop(encArg(x_1))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(x_1, x_2)) -> subst(encArg(x_1), encArg(x_2))
   encArg(cons_sortSu(x_1)) -> sortSu(encArg(x_1))
   encArg(cons_te(x_1)) -> te(encArg(x_1))
   encode_sortSu(x_1) -> sortSu(encArg(x_1))
   encode_circ(x_1, x_2) -> circ(encArg(x_1), encArg(x_2))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_te(x_1) -> te(encArg(x_1))
   encode_msubst(x_1, x_2) -> msubst(encArg(x_1), encArg(x_2))
   encode_sop(x_1) -> sop(encArg(x_1))
   encode_lift -> lift
   encode_id -> id
   encode_subst(x_1, x_2) -> subst(encArg(x_1), encArg(x_2))

Rewrite Strategy: INNERMOST
----------------------------------------

(15) RelTrsToTrsProof (UPPER BOUND(ID))
transformed relative TRS to TRS
----------------------------------------

(16)
Obligation:
The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   sortSu(circ(sortSu(cons(te(a), sortSu(s))), sortSu(t))) -> sortSu(cons(te(msubst(te(a), sortSu(t))), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(cons(te(a), sortSu(t))))) -> sortSu(cons(te(a), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(cons(sop(lift), sortSu(t))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(sortSu(circ(sortSu(s), sortSu(t))), sortSu(u))) -> sortSu(circ(sortSu(s), sortSu(circ(sortSu(t), sortSu(u)))))
   sortSu(circ(sortSu(s), sortSu(id))) -> sortSu(s)
   sortSu(circ(sortSu(id), sortSu(s))) -> sortSu(s)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(s))), sortSu(circ(sortSu(cons(sop(lift), sortSu(t))), sortSu(u))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))), sortSu(u)))
   te(subst(te(a), sortSu(id))) -> te(a)
   te(msubst(te(a), sortSu(id))) -> te(a)
   te(msubst(te(msubst(te(a), sortSu(s))), sortSu(t))) -> te(msubst(te(a), sortSu(circ(sortSu(s), sortSu(t)))))
   encArg(circ(x_1, x_2)) -> circ(encArg(x_1), encArg(x_2))
   encArg(cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(msubst(x_1, x_2)) -> msubst(encArg(x_1), encArg(x_2))
   encArg(sop(x_1)) -> sop(encArg(x_1))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(x_1, x_2)) -> subst(encArg(x_1), encArg(x_2))
   encArg(cons_sortSu(x_1)) -> sortSu(encArg(x_1))
   encArg(cons_te(x_1)) -> te(encArg(x_1))
   encode_sortSu(x_1) -> sortSu(encArg(x_1))
   encode_circ(x_1, x_2) -> circ(encArg(x_1), encArg(x_2))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_te(x_1) -> te(encArg(x_1))
   encode_msubst(x_1, x_2) -> msubst(encArg(x_1), encArg(x_2))
   encode_sop(x_1) -> sop(encArg(x_1))
   encode_lift -> lift
   encode_id -> id
   encode_subst(x_1, x_2) -> subst(encArg(x_1), encArg(x_2))

S is empty.
Rewrite Strategy: INNERMOST
----------------------------------------

(17) NonCtorToCtorProof (UPPER BOUND(ID))
transformed non-ctor to ctor-system
----------------------------------------

(18)
Obligation:
The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(cons(c_te(a), c_sortSu(t))))) -> sortSu(cons(te(a), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(cons(sop(lift), c_sortSu(t))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t)))))
   te(msubst(c_te(a), c_sortSu(id))) -> te(a)
   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(t))), c_sortSu(u))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))), sortSu(u)))
   te(subst(c_te(a), c_sortSu(id))) -> te(a)
   sortSu(circ(c_sortSu(cons(c_te(a), c_sortSu(s))), c_sortSu(t))) -> sortSu(cons(te(msubst(te(a), sortSu(t))), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(c_sortSu(circ(c_sortSu(s), c_sortSu(t))), c_sortSu(u))) -> sortSu(circ(sortSu(s), sortSu(circ(sortSu(t), sortSu(u)))))
   te(msubst(c_te(msubst(c_te(a), c_sortSu(s))), c_sortSu(t))) -> te(msubst(te(a), sortSu(circ(sortSu(s), sortSu(t)))))
   sortSu(circ(c_sortSu(s), c_sortSu(id))) -> sortSu(s)
   sortSu(circ(c_sortSu(id), c_sortSu(s))) -> sortSu(s)

The (relative) TRS S consists of the following rules:

   encArg(circ(x_1, x_2)) -> circ(encArg(x_1), encArg(x_2))
   encArg(cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(msubst(x_1, x_2)) -> msubst(encArg(x_1), encArg(x_2))
   encArg(sop(x_1)) -> sop(encArg(x_1))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(x_1, x_2)) -> subst(encArg(x_1), encArg(x_2))
   encArg(cons_sortSu(x_1)) -> sortSu(encArg(x_1))
   encArg(cons_te(x_1)) -> te(encArg(x_1))
   encode_sortSu(x_1) -> sortSu(encArg(x_1))
   encode_circ(x_1, x_2) -> circ(encArg(x_1), encArg(x_2))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_te(x_1) -> te(encArg(x_1))
   encode_msubst(x_1, x_2) -> msubst(encArg(x_1), encArg(x_2))
   encode_sop(x_1) -> sop(encArg(x_1))
   encode_lift -> lift
   encode_id -> id
   encode_subst(x_1, x_2) -> subst(encArg(x_1), encArg(x_2))
   te(x0) -> c_te(x0)
   sortSu(x0) -> c_sortSu(x0)

Rewrite Strategy: INNERMOST
----------------------------------------

(19) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID))
Transformed relative TRS to weighted TRS
----------------------------------------

(20)
Obligation:
The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(cons(c_te(a), c_sortSu(t))))) -> sortSu(cons(te(a), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(cons(sop(lift), c_sortSu(t))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   te(msubst(c_te(a), c_sortSu(id))) -> te(a) [1]
   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(t))), c_sortSu(u))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))), sortSu(u))) [1]
   te(subst(c_te(a), c_sortSu(id))) -> te(a) [1]
   sortSu(circ(c_sortSu(cons(c_te(a), c_sortSu(s))), c_sortSu(t))) -> sortSu(cons(te(msubst(te(a), sortSu(t))), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   sortSu(circ(c_sortSu(circ(c_sortSu(s), c_sortSu(t))), c_sortSu(u))) -> sortSu(circ(sortSu(s), sortSu(circ(sortSu(t), sortSu(u))))) [1]
   te(msubst(c_te(msubst(c_te(a), c_sortSu(s))), c_sortSu(t))) -> te(msubst(te(a), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   sortSu(circ(c_sortSu(s), c_sortSu(id))) -> sortSu(s) [1]
   sortSu(circ(c_sortSu(id), c_sortSu(s))) -> sortSu(s) [1]
   encArg(circ(x_1, x_2)) -> circ(encArg(x_1), encArg(x_2)) [0]
   encArg(cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(msubst(x_1, x_2)) -> msubst(encArg(x_1), encArg(x_2)) [0]
   encArg(sop(x_1)) -> sop(encArg(x_1)) [0]
   encArg(lift) -> lift [0]
   encArg(id) -> id [0]
   encArg(subst(x_1, x_2)) -> subst(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_sortSu(x_1)) -> sortSu(encArg(x_1)) [0]
   encArg(cons_te(x_1)) -> te(encArg(x_1)) [0]
   encode_sortSu(x_1) -> sortSu(encArg(x_1)) [0]
   encode_circ(x_1, x_2) -> circ(encArg(x_1), encArg(x_2)) [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_te(x_1) -> te(encArg(x_1)) [0]
   encode_msubst(x_1, x_2) -> msubst(encArg(x_1), encArg(x_2)) [0]
   encode_sop(x_1) -> sop(encArg(x_1)) [0]
   encode_lift -> lift [0]
   encode_id -> id [0]
   encode_subst(x_1, x_2) -> subst(encArg(x_1), encArg(x_2)) [0]
   te(x0) -> c_te(x0) [0]
   sortSu(x0) -> c_sortSu(x0) [0]

Rewrite Strategy: INNERMOST
----------------------------------------

(21) TypeInferenceProof (BOTH BOUNDS(ID, ID))
Infered types.
----------------------------------------

(22)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(cons(c_te(a), c_sortSu(t))))) -> sortSu(cons(te(a), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(cons(sop(lift), c_sortSu(t))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   te(msubst(c_te(a), c_sortSu(id))) -> te(a) [1]
   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(t))), c_sortSu(u))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))), sortSu(u))) [1]
   te(subst(c_te(a), c_sortSu(id))) -> te(a) [1]
   sortSu(circ(c_sortSu(cons(c_te(a), c_sortSu(s))), c_sortSu(t))) -> sortSu(cons(te(msubst(te(a), sortSu(t))), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   sortSu(circ(c_sortSu(circ(c_sortSu(s), c_sortSu(t))), c_sortSu(u))) -> sortSu(circ(sortSu(s), sortSu(circ(sortSu(t), sortSu(u))))) [1]
   te(msubst(c_te(msubst(c_te(a), c_sortSu(s))), c_sortSu(t))) -> te(msubst(te(a), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   sortSu(circ(c_sortSu(s), c_sortSu(id))) -> sortSu(s) [1]
   sortSu(circ(c_sortSu(id), c_sortSu(s))) -> sortSu(s) [1]
   encArg(circ(x_1, x_2)) -> circ(encArg(x_1), encArg(x_2)) [0]
   encArg(cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(msubst(x_1, x_2)) -> msubst(encArg(x_1), encArg(x_2)) [0]
   encArg(sop(x_1)) -> sop(encArg(x_1)) [0]
   encArg(lift) -> lift [0]
   encArg(id) -> id [0]
   encArg(subst(x_1, x_2)) -> subst(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_sortSu(x_1)) -> sortSu(encArg(x_1)) [0]
   encArg(cons_te(x_1)) -> te(encArg(x_1)) [0]
   encode_sortSu(x_1) -> sortSu(encArg(x_1)) [0]
   encode_circ(x_1, x_2) -> circ(encArg(x_1), encArg(x_2)) [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_te(x_1) -> te(encArg(x_1)) [0]
   encode_msubst(x_1, x_2) -> msubst(encArg(x_1), encArg(x_2)) [0]
   encode_sop(x_1) -> sop(encArg(x_1)) [0]
   encode_lift -> lift [0]
   encode_id -> id [0]
   encode_subst(x_1, x_2) -> subst(encArg(x_1), encArg(x_2)) [0]
   te(x0) -> c_te(x0) [0]
   sortSu(x0) -> c_sortSu(x0) [0]

The TRS has the following type information:
sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
circ :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
c_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
cons :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
sop :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
lift :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
c_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
msubst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
id :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
subst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
encArg :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
cons_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
cons_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
encode_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
encode_circ :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
encode_cons :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
encode_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
encode_msubst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
encode_sop :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
encode_lift :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
encode_id :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te
encode_subst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te

Rewrite Strategy: INNERMOST
----------------------------------------

(23) CompletionProof (UPPER BOUND(ID))
The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added:

   encArg(v0) -> null_encArg [0]
   encode_sortSu(v0) -> null_encode_sortSu [0]
   encode_circ(v0, v1) -> null_encode_circ [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_te(v0) -> null_encode_te [0]
   encode_msubst(v0, v1) -> null_encode_msubst [0]
   encode_sop(v0) -> null_encode_sop [0]
   encode_lift -> null_encode_lift [0]
   encode_id -> null_encode_id [0]
   encode_subst(v0, v1) -> null_encode_subst [0]
   te(v0) -> null_te [0]
   sortSu(v0) -> null_sortSu [0]

And the following fresh constants:    null_encArg, null_encode_sortSu, null_encode_circ, null_encode_cons, null_encode_te, null_encode_msubst, null_encode_sop, null_encode_lift, null_encode_id, null_encode_subst, null_te, null_sortSu

----------------------------------------

(24)
Obligation:
Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(cons(c_te(a), c_sortSu(t))))) -> sortSu(cons(te(a), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(cons(sop(lift), c_sortSu(t))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   te(msubst(c_te(a), c_sortSu(id))) -> te(a) [1]
   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(t))), c_sortSu(u))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))), sortSu(u))) [1]
   te(subst(c_te(a), c_sortSu(id))) -> te(a) [1]
   sortSu(circ(c_sortSu(cons(c_te(a), c_sortSu(s))), c_sortSu(t))) -> sortSu(cons(te(msubst(te(a), sortSu(t))), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   sortSu(circ(c_sortSu(circ(c_sortSu(s), c_sortSu(t))), c_sortSu(u))) -> sortSu(circ(sortSu(s), sortSu(circ(sortSu(t), sortSu(u))))) [1]
   te(msubst(c_te(msubst(c_te(a), c_sortSu(s))), c_sortSu(t))) -> te(msubst(te(a), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   sortSu(circ(c_sortSu(s), c_sortSu(id))) -> sortSu(s) [1]
   sortSu(circ(c_sortSu(id), c_sortSu(s))) -> sortSu(s) [1]
   encArg(circ(x_1, x_2)) -> circ(encArg(x_1), encArg(x_2)) [0]
   encArg(cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(msubst(x_1, x_2)) -> msubst(encArg(x_1), encArg(x_2)) [0]
   encArg(sop(x_1)) -> sop(encArg(x_1)) [0]
   encArg(lift) -> lift [0]
   encArg(id) -> id [0]
   encArg(subst(x_1, x_2)) -> subst(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_sortSu(x_1)) -> sortSu(encArg(x_1)) [0]
   encArg(cons_te(x_1)) -> te(encArg(x_1)) [0]
   encode_sortSu(x_1) -> sortSu(encArg(x_1)) [0]
   encode_circ(x_1, x_2) -> circ(encArg(x_1), encArg(x_2)) [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_te(x_1) -> te(encArg(x_1)) [0]
   encode_msubst(x_1, x_2) -> msubst(encArg(x_1), encArg(x_2)) [0]
   encode_sop(x_1) -> sop(encArg(x_1)) [0]
   encode_lift -> lift [0]
   encode_id -> id [0]
   encode_subst(x_1, x_2) -> subst(encArg(x_1), encArg(x_2)) [0]
   te(x0) -> c_te(x0) [0]
   sortSu(x0) -> c_sortSu(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_sortSu(v0) -> null_encode_sortSu [0]
   encode_circ(v0, v1) -> null_encode_circ [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_te(v0) -> null_encode_te [0]
   encode_msubst(v0, v1) -> null_encode_msubst [0]
   encode_sop(v0) -> null_encode_sop [0]
   encode_lift -> null_encode_lift [0]
   encode_id -> null_encode_id [0]
   encode_subst(v0, v1) -> null_encode_subst [0]
   te(v0) -> null_te [0]
   sortSu(v0) -> null_sortSu [0]

The TRS has the following type information:
sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
circ :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
c_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
cons :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
sop :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
lift :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
c_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
msubst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
id :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
subst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encArg :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
cons_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
cons_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_circ :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_cons :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_msubst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_sop :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_lift :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_id :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_subst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encArg :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_circ :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_cons :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_msubst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_sop :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_lift :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_id :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_subst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu

Rewrite Strategy: INNERMOST
----------------------------------------

(25) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID))
Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction.
The constant constructors are abstracted as follows:

   lift => 1
   id => 0
   null_encArg => 0
   null_encode_sortSu => 0
   null_encode_circ => 0
   null_encode_cons => 0
   null_encode_te => 0
   null_encode_msubst => 0
   null_encode_sop => 0
   null_encode_lift => 0
   null_encode_id => 0
   null_encode_subst => 0
   null_te => 0
   null_sortSu => 0

----------------------------------------

(26)
Obligation:
Complexity RNTS consisting of the following rules:

   encArg(z) -{ 0 }-> te(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> sortSu(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1 :|: z = 1
   encArg(z) -{ 0 }-> 0 :|: z = 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encArg(z) -{ 0 }-> 1 + encArg(x_1) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encode_circ(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_circ(z, z') -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_cons(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_cons(z, z') -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_id -{ 0 }-> 0 :|: 
   encode_lift -{ 0 }-> 1 :|: 
   encode_lift -{ 0 }-> 0 :|: 
   encode_msubst(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_msubst(z, z') -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_sop(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_sop(z) -{ 0 }-> 1 + encArg(x_1) :|: x_1 >= 0, z = x_1
   encode_sortSu(z) -{ 0 }-> sortSu(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_sortSu(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_subst(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_subst(z, z') -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_te(z) -{ 0 }-> te(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_te(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   sortSu(z) -{ 1 }-> sortSu(s) :|: s >= 0, z = 1 + (1 + s) + (1 + 0)
   sortSu(z) -{ 1 }-> sortSu(s) :|: z = 1 + (1 + 0) + (1 + s), s >= 0
   sortSu(z) -{ 1 }-> sortSu(1 + te(a) + sortSu(1 + sortSu(s) + sortSu(t))) :|: z = 1 + (1 + (1 + (1 + 1) + (1 + s))) + (1 + (1 + (1 + a) + (1 + t))), a >= 0, t >= 0, s >= 0
   sortSu(z) -{ 1 }-> sortSu(1 + te(1 + te(a) + sortSu(t)) + sortSu(1 + sortSu(s) + sortSu(t))) :|: a >= 0, t >= 0, s >= 0, z = 1 + (1 + (1 + (1 + a) + (1 + s))) + (1 + t)
   sortSu(z) -{ 1 }-> sortSu(1 + sortSu(s) + sortSu(1 + sortSu(t) + sortSu(u))) :|: z = 1 + (1 + (1 + (1 + s) + (1 + t))) + (1 + u), t >= 0, s >= 0, u >= 0
   sortSu(z) -{ 1 }-> sortSu(1 + sortSu(1 + (1 + 1) + sortSu(1 + sortSu(s) + sortSu(t))) + sortSu(u)) :|: z = 1 + (1 + (1 + (1 + 1) + (1 + s))) + (1 + (1 + (1 + (1 + (1 + 1) + (1 + t))) + (1 + u))), t >= 0, s >= 0, u >= 0
   sortSu(z) -{ 1 }-> sortSu(1 + (1 + 1) + sortSu(1 + sortSu(s) + sortSu(t))) :|: t >= 0, s >= 0, z = 1 + (1 + (1 + (1 + 1) + (1 + s))) + (1 + (1 + (1 + 1) + (1 + t)))
   sortSu(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   sortSu(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   te(z) -{ 1 }-> te(a) :|: a >= 0, z = 1 + (1 + a) + (1 + 0)
   te(z) -{ 1 }-> te(1 + te(a) + sortSu(1 + sortSu(s) + sortSu(t))) :|: a >= 0, t >= 0, s >= 0, z = 1 + (1 + (1 + (1 + a) + (1 + s))) + (1 + t)
   te(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   te(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0

Only complete derivations are relevant for the runtime complexity.

----------------------------------------

(27) CompletionProof (UPPER BOUND(ID))
The transformation into a RNTS is sound, since:

(a) The obligation is a constructor system where every type has a constant constructor,

(b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols:
none

(c) The following functions are completely defined:

   encArg_1
   encode_sortSu_1
   encode_circ_2
   encode_cons_2
   encode_te_1
   encode_msubst_2
   encode_sop_1
   encode_lift
   encode_id
   encode_subst_2
   te_1
   sortSu_1

Due to the following rules being added:

   encArg(v0) -> null_encArg [0]
   encode_sortSu(v0) -> null_encode_sortSu [0]
   encode_circ(v0, v1) -> null_encode_circ [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_te(v0) -> null_encode_te [0]
   encode_msubst(v0, v1) -> null_encode_msubst [0]
   encode_sop(v0) -> null_encode_sop [0]
   encode_lift -> null_encode_lift [0]
   encode_id -> null_encode_id [0]
   encode_subst(v0, v1) -> null_encode_subst [0]
   te(v0) -> null_te [0]
   sortSu(v0) -> null_sortSu [0]

And the following fresh constants:    null_encArg, null_encode_sortSu, null_encode_circ, null_encode_cons, null_encode_te, null_encode_msubst, null_encode_sop, null_encode_lift, null_encode_id, null_encode_subst, null_te, null_sortSu

----------------------------------------

(28)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(cons(c_te(a), c_sortSu(t))))) -> sortSu(cons(te(a), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(cons(sop(lift), c_sortSu(t))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   te(msubst(c_te(a), c_sortSu(id))) -> te(a) [1]
   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(t))), c_sortSu(u))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))), sortSu(u))) [1]
   te(subst(c_te(a), c_sortSu(id))) -> te(a) [1]
   sortSu(circ(c_sortSu(cons(c_te(a), c_sortSu(s))), c_sortSu(t))) -> sortSu(cons(te(msubst(te(a), sortSu(t))), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   sortSu(circ(c_sortSu(circ(c_sortSu(s), c_sortSu(t))), c_sortSu(u))) -> sortSu(circ(sortSu(s), sortSu(circ(sortSu(t), sortSu(u))))) [1]
   te(msubst(c_te(msubst(c_te(a), c_sortSu(s))), c_sortSu(t))) -> te(msubst(te(a), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   sortSu(circ(c_sortSu(s), c_sortSu(id))) -> sortSu(s) [1]
   sortSu(circ(c_sortSu(id), c_sortSu(s))) -> sortSu(s) [1]
   encArg(circ(x_1, x_2)) -> circ(encArg(x_1), encArg(x_2)) [0]
   encArg(cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(msubst(x_1, x_2)) -> msubst(encArg(x_1), encArg(x_2)) [0]
   encArg(sop(x_1)) -> sop(encArg(x_1)) [0]
   encArg(lift) -> lift [0]
   encArg(id) -> id [0]
   encArg(subst(x_1, x_2)) -> subst(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_sortSu(x_1)) -> sortSu(encArg(x_1)) [0]
   encArg(cons_te(x_1)) -> te(encArg(x_1)) [0]
   encode_sortSu(x_1) -> sortSu(encArg(x_1)) [0]
   encode_circ(x_1, x_2) -> circ(encArg(x_1), encArg(x_2)) [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_te(x_1) -> te(encArg(x_1)) [0]
   encode_msubst(x_1, x_2) -> msubst(encArg(x_1), encArg(x_2)) [0]
   encode_sop(x_1) -> sop(encArg(x_1)) [0]
   encode_lift -> lift [0]
   encode_id -> id [0]
   encode_subst(x_1, x_2) -> subst(encArg(x_1), encArg(x_2)) [0]
   te(x0) -> c_te(x0) [0]
   sortSu(x0) -> c_sortSu(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_sortSu(v0) -> null_encode_sortSu [0]
   encode_circ(v0, v1) -> null_encode_circ [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_te(v0) -> null_encode_te [0]
   encode_msubst(v0, v1) -> null_encode_msubst [0]
   encode_sop(v0) -> null_encode_sop [0]
   encode_lift -> null_encode_lift [0]
   encode_id -> null_encode_id [0]
   encode_subst(v0, v1) -> null_encode_subst [0]
   te(v0) -> null_te [0]
   sortSu(v0) -> null_sortSu [0]

The TRS has the following type information:
sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
circ :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
c_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
cons :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
sop :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
lift :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
c_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
msubst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
id :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
subst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encArg :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
cons_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
cons_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_circ :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_cons :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_msubst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_sop :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_lift :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_id :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_subst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encArg :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_circ :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_cons :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_msubst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_sop :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_lift :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_id :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_subst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu

Rewrite Strategy: INNERMOST
----------------------------------------

(29) NarrowingProof (BOTH BOUNDS(ID, ID))
Narrowed the inner basic terms of all right-hand sides by a single narrowing step.
----------------------------------------

(30)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(cons(c_te(a), c_sortSu(t))))) -> sortSu(cons(te(a), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(cons(sop(lift), c_sortSu(t))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   te(msubst(c_te(a), c_sortSu(id))) -> te(a) [1]
   sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(s))), c_sortSu(circ(c_sortSu(cons(sop(lift), c_sortSu(t))), c_sortSu(u))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(s), sortSu(t))))), sortSu(u))) [1]
   te(subst(c_te(a), c_sortSu(id))) -> te(a) [1]
   sortSu(circ(c_sortSu(cons(c_te(a), c_sortSu(s))), c_sortSu(t))) -> sortSu(cons(te(msubst(te(a), sortSu(t))), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   sortSu(circ(c_sortSu(circ(c_sortSu(s), c_sortSu(t))), c_sortSu(u))) -> sortSu(circ(sortSu(s), sortSu(circ(sortSu(t), sortSu(u))))) [1]
   te(msubst(c_te(msubst(c_te(a), c_sortSu(s))), c_sortSu(t))) -> te(msubst(te(a), sortSu(circ(sortSu(s), sortSu(t))))) [1]
   sortSu(circ(c_sortSu(s), c_sortSu(id))) -> sortSu(s) [1]
   sortSu(circ(c_sortSu(id), c_sortSu(s))) -> sortSu(s) [1]
   encArg(circ(x_1, x_2)) -> circ(encArg(x_1), encArg(x_2)) [0]
   encArg(cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(msubst(x_1, x_2)) -> msubst(encArg(x_1), encArg(x_2)) [0]
   encArg(sop(x_1)) -> sop(encArg(x_1)) [0]
   encArg(lift) -> lift [0]
   encArg(id) -> id [0]
   encArg(subst(x_1, x_2)) -> subst(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_sortSu(circ(x_1', x_2'))) -> sortSu(circ(encArg(x_1'), encArg(x_2'))) [0]
   encArg(cons_sortSu(cons(x_1'', x_2''))) -> sortSu(cons(encArg(x_1''), encArg(x_2''))) [0]
   encArg(cons_sortSu(msubst(x_11, x_21))) -> sortSu(msubst(encArg(x_11), encArg(x_21))) [0]
   encArg(cons_sortSu(sop(x_12))) -> sortSu(sop(encArg(x_12))) [0]
   encArg(cons_sortSu(lift)) -> sortSu(lift) [0]
   encArg(cons_sortSu(id)) -> sortSu(id) [0]
   encArg(cons_sortSu(subst(x_13, x_22))) -> sortSu(subst(encArg(x_13), encArg(x_22))) [0]
   encArg(cons_sortSu(cons_sortSu(x_14))) -> sortSu(sortSu(encArg(x_14))) [0]
   encArg(cons_sortSu(cons_te(x_15))) -> sortSu(te(encArg(x_15))) [0]
   encArg(cons_sortSu(x_1)) -> sortSu(null_encArg) [0]
   encArg(cons_te(circ(x_16, x_23))) -> te(circ(encArg(x_16), encArg(x_23))) [0]
   encArg(cons_te(cons(x_17, x_24))) -> te(cons(encArg(x_17), encArg(x_24))) [0]
   encArg(cons_te(msubst(x_18, x_25))) -> te(msubst(encArg(x_18), encArg(x_25))) [0]
   encArg(cons_te(sop(x_19))) -> te(sop(encArg(x_19))) [0]
   encArg(cons_te(lift)) -> te(lift) [0]
   encArg(cons_te(id)) -> te(id) [0]
   encArg(cons_te(subst(x_110, x_26))) -> te(subst(encArg(x_110), encArg(x_26))) [0]
   encArg(cons_te(cons_sortSu(x_111))) -> te(sortSu(encArg(x_111))) [0]
   encArg(cons_te(cons_te(x_112))) -> te(te(encArg(x_112))) [0]
   encArg(cons_te(x_1)) -> te(null_encArg) [0]
   encode_sortSu(circ(x_113, x_27)) -> sortSu(circ(encArg(x_113), encArg(x_27))) [0]
   encode_sortSu(cons(x_114, x_28)) -> sortSu(cons(encArg(x_114), encArg(x_28))) [0]
   encode_sortSu(msubst(x_115, x_29)) -> sortSu(msubst(encArg(x_115), encArg(x_29))) [0]
   encode_sortSu(sop(x_116)) -> sortSu(sop(encArg(x_116))) [0]
   encode_sortSu(lift) -> sortSu(lift) [0]
   encode_sortSu(id) -> sortSu(id) [0]
   encode_sortSu(subst(x_117, x_210)) -> sortSu(subst(encArg(x_117), encArg(x_210))) [0]
   encode_sortSu(cons_sortSu(x_118)) -> sortSu(sortSu(encArg(x_118))) [0]
   encode_sortSu(cons_te(x_119)) -> sortSu(te(encArg(x_119))) [0]
   encode_sortSu(x_1) -> sortSu(null_encArg) [0]
   encode_circ(x_1, x_2) -> circ(encArg(x_1), encArg(x_2)) [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_te(circ(x_120, x_211)) -> te(circ(encArg(x_120), encArg(x_211))) [0]
   encode_te(cons(x_121, x_212)) -> te(cons(encArg(x_121), encArg(x_212))) [0]
   encode_te(msubst(x_122, x_213)) -> te(msubst(encArg(x_122), encArg(x_213))) [0]
   encode_te(sop(x_123)) -> te(sop(encArg(x_123))) [0]
   encode_te(lift) -> te(lift) [0]
   encode_te(id) -> te(id) [0]
   encode_te(subst(x_124, x_214)) -> te(subst(encArg(x_124), encArg(x_214))) [0]
   encode_te(cons_sortSu(x_125)) -> te(sortSu(encArg(x_125))) [0]
   encode_te(cons_te(x_126)) -> te(te(encArg(x_126))) [0]
   encode_te(x_1) -> te(null_encArg) [0]
   encode_msubst(x_1, x_2) -> msubst(encArg(x_1), encArg(x_2)) [0]
   encode_sop(x_1) -> sop(encArg(x_1)) [0]
   encode_lift -> lift [0]
   encode_id -> id [0]
   encode_subst(x_1, x_2) -> subst(encArg(x_1), encArg(x_2)) [0]
   te(x0) -> c_te(x0) [0]
   sortSu(x0) -> c_sortSu(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_sortSu(v0) -> null_encode_sortSu [0]
   encode_circ(v0, v1) -> null_encode_circ [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_te(v0) -> null_encode_te [0]
   encode_msubst(v0, v1) -> null_encode_msubst [0]
   encode_sop(v0) -> null_encode_sop [0]
   encode_lift -> null_encode_lift [0]
   encode_id -> null_encode_id [0]
   encode_subst(v0, v1) -> null_encode_subst [0]
   te(v0) -> null_te [0]
   sortSu(v0) -> null_sortSu [0]

The TRS has the following type information:
sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
circ :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
c_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
cons :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
sop :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
lift :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
c_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
msubst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
id :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
subst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encArg :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
cons_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
cons_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_circ :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_cons :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_msubst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_sop :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_lift :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_id :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
encode_subst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu -> lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encArg :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_circ :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_cons :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_msubst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_sop :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_lift :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_id :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_encode_subst :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_te :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu
null_sortSu :: lift:sop:c_sortSu:cons:c_te:circ:id:msubst:subst:cons_sortSu:cons_te:null_encArg:null_encode_sortSu:null_encode_circ:null_encode_cons:null_encode_te:null_encode_msubst:null_encode_sop:null_encode_lift:null_encode_id:null_encode_subst:null_te:null_sortSu

Rewrite Strategy: INNERMOST
----------------------------------------

(31) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID))
Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction.
The constant constructors are abstracted as follows:

   lift => 1
   id => 0
   null_encArg => 0
   null_encode_sortSu => 0
   null_encode_circ => 0
   null_encode_cons => 0
   null_encode_te => 0
   null_encode_msubst => 0
   null_encode_sop => 0
   null_encode_lift => 0
   null_encode_id => 0
   null_encode_subst => 0
   null_te => 0
   null_sortSu => 0

----------------------------------------

(32)
Obligation:
Complexity RNTS consisting of the following rules:

   encArg(z) -{ 0 }-> te(te(encArg(x_112))) :|: x_112 >= 0, z = 1 + (1 + x_112)
   encArg(z) -{ 0 }-> te(sortSu(encArg(x_111))) :|: z = 1 + (1 + x_111), x_111 >= 0
   encArg(z) -{ 0 }-> te(1) :|: z = 1 + 1
   encArg(z) -{ 0 }-> te(0) :|: z = 1 + 0
   encArg(z) -{ 0 }-> te(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> te(1 + encArg(x_19)) :|: z = 1 + (1 + x_19), x_19 >= 0
   encArg(z) -{ 0 }-> te(1 + encArg(x_110) + encArg(x_26)) :|: x_26 >= 0, z = 1 + (1 + x_110 + x_26), x_110 >= 0
   encArg(z) -{ 0 }-> te(1 + encArg(x_16) + encArg(x_23)) :|: z = 1 + (1 + x_16 + x_23), x_16 >= 0, x_23 >= 0
   encArg(z) -{ 0 }-> te(1 + encArg(x_17) + encArg(x_24)) :|: x_17 >= 0, x_24 >= 0, z = 1 + (1 + x_17 + x_24)
   encArg(z) -{ 0 }-> te(1 + encArg(x_18) + encArg(x_25)) :|: x_25 >= 0, x_18 >= 0, z = 1 + (1 + x_18 + x_25)
   encArg(z) -{ 0 }-> sortSu(te(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> sortSu(sortSu(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> sortSu(1) :|: z = 1 + 1
   encArg(z) -{ 0 }-> sortSu(0) :|: z = 1 + 0
   encArg(z) -{ 0 }-> sortSu(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> sortSu(1 + encArg(x_12)) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> sortSu(1 + encArg(x_1') + encArg(x_2')) :|: z = 1 + (1 + x_1' + x_2'), x_2' >= 0, x_1' >= 0
   encArg(z) -{ 0 }-> sortSu(1 + encArg(x_1'') + encArg(x_2'')) :|: x_1'' >= 0, z = 1 + (1 + x_1'' + x_2''), x_2'' >= 0
   encArg(z) -{ 0 }-> sortSu(1 + encArg(x_11) + encArg(x_21)) :|: x_11 >= 0, z = 1 + (1 + x_11 + x_21), x_21 >= 0
   encArg(z) -{ 0 }-> sortSu(1 + encArg(x_13) + encArg(x_22)) :|: x_13 >= 0, z = 1 + (1 + x_13 + x_22), x_22 >= 0
   encArg(z) -{ 0 }-> 1 :|: z = 1
   encArg(z) -{ 0 }-> 0 :|: z = 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encArg(z) -{ 0 }-> 1 + encArg(x_1) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encode_circ(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_circ(z, z') -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_cons(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_cons(z, z') -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_id -{ 0 }-> 0 :|: 
   encode_lift -{ 0 }-> 1 :|: 
   encode_lift -{ 0 }-> 0 :|: 
   encode_msubst(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_msubst(z, z') -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_sop(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_sop(z) -{ 0 }-> 1 + encArg(x_1) :|: x_1 >= 0, z = x_1
   encode_sortSu(z) -{ 0 }-> sortSu(te(encArg(x_119))) :|: z = 1 + x_119, x_119 >= 0
   encode_sortSu(z) -{ 0 }-> sortSu(sortSu(encArg(x_118))) :|: z = 1 + x_118, x_118 >= 0
   encode_sortSu(z) -{ 0 }-> sortSu(1) :|: z = 1
   encode_sortSu(z) -{ 0 }-> sortSu(0) :|: z = 0
   encode_sortSu(z) -{ 0 }-> sortSu(0) :|: x_1 >= 0, z = x_1
   encode_sortSu(z) -{ 0 }-> sortSu(1 + encArg(x_116)) :|: x_116 >= 0, z = 1 + x_116
   encode_sortSu(z) -{ 0 }-> sortSu(1 + encArg(x_113) + encArg(x_27)) :|: x_113 >= 0, z = 1 + x_113 + x_27, x_27 >= 0
   encode_sortSu(z) -{ 0 }-> sortSu(1 + encArg(x_114) + encArg(x_28)) :|: x_114 >= 0, x_28 >= 0, z = 1 + x_114 + x_28
   encode_sortSu(z) -{ 0 }-> sortSu(1 + encArg(x_115) + encArg(x_29)) :|: x_115 >= 0, z = 1 + x_115 + x_29, x_29 >= 0
   encode_sortSu(z) -{ 0 }-> sortSu(1 + encArg(x_117) + encArg(x_210)) :|: z = 1 + x_117 + x_210, x_117 >= 0, x_210 >= 0
   encode_sortSu(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_subst(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_subst(z, z') -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_te(z) -{ 0 }-> te(te(encArg(x_126))) :|: z = 1 + x_126, x_126 >= 0
   encode_te(z) -{ 0 }-> te(sortSu(encArg(x_125))) :|: z = 1 + x_125, x_125 >= 0
   encode_te(z) -{ 0 }-> te(1) :|: z = 1
   encode_te(z) -{ 0 }-> te(0) :|: z = 0
   encode_te(z) -{ 0 }-> te(0) :|: x_1 >= 0, z = x_1
   encode_te(z) -{ 0 }-> te(1 + encArg(x_123)) :|: x_123 >= 0, z = 1 + x_123
   encode_te(z) -{ 0 }-> te(1 + encArg(x_120) + encArg(x_211)) :|: x_120 >= 0, z = 1 + x_120 + x_211, x_211 >= 0
   encode_te(z) -{ 0 }-> te(1 + encArg(x_121) + encArg(x_212)) :|: x_212 >= 0, z = 1 + x_121 + x_212, x_121 >= 0
   encode_te(z) -{ 0 }-> te(1 + encArg(x_122) + encArg(x_213)) :|: x_213 >= 0, z = 1 + x_122 + x_213, x_122 >= 0
   encode_te(z) -{ 0 }-> te(1 + encArg(x_124) + encArg(x_214)) :|: x_124 >= 0, x_214 >= 0, z = 1 + x_124 + x_214
   encode_te(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   sortSu(z) -{ 1 }-> sortSu(s) :|: s >= 0, z = 1 + (1 + s) + (1 + 0)
   sortSu(z) -{ 1 }-> sortSu(s) :|: z = 1 + (1 + 0) + (1 + s), s >= 0
   sortSu(z) -{ 1 }-> sortSu(1 + te(a) + sortSu(1 + sortSu(s) + sortSu(t))) :|: z = 1 + (1 + (1 + (1 + 1) + (1 + s))) + (1 + (1 + (1 + a) + (1 + t))), a >= 0, t >= 0, s >= 0
   sortSu(z) -{ 1 }-> sortSu(1 + te(1 + te(a) + sortSu(t)) + sortSu(1 + sortSu(s) + sortSu(t))) :|: a >= 0, t >= 0, s >= 0, z = 1 + (1 + (1 + (1 + a) + (1 + s))) + (1 + t)
   sortSu(z) -{ 1 }-> sortSu(1 + sortSu(s) + sortSu(1 + sortSu(t) + sortSu(u))) :|: z = 1 + (1 + (1 + (1 + s) + (1 + t))) + (1 + u), t >= 0, s >= 0, u >= 0
   sortSu(z) -{ 1 }-> sortSu(1 + sortSu(1 + (1 + 1) + sortSu(1 + sortSu(s) + sortSu(t))) + sortSu(u)) :|: z = 1 + (1 + (1 + (1 + 1) + (1 + s))) + (1 + (1 + (1 + (1 + (1 + 1) + (1 + t))) + (1 + u))), t >= 0, s >= 0, u >= 0
   sortSu(z) -{ 1 }-> sortSu(1 + (1 + 1) + sortSu(1 + sortSu(s) + sortSu(t))) :|: t >= 0, s >= 0, z = 1 + (1 + (1 + (1 + 1) + (1 + s))) + (1 + (1 + (1 + 1) + (1 + t)))
   sortSu(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   sortSu(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   te(z) -{ 1 }-> te(a) :|: a >= 0, z = 1 + (1 + a) + (1 + 0)
   te(z) -{ 1 }-> te(1 + te(a) + sortSu(1 + sortSu(s) + sortSu(t))) :|: a >= 0, t >= 0, s >= 0, z = 1 + (1 + (1 + (1 + a) + (1 + s))) + (1 + t)
   te(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   te(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0


----------------------------------------

(33) SimplificationProof (BOTH BOUNDS(ID, ID))
Simplified the RNTS by moving equalities from the constraints into the right-hand sides.
----------------------------------------

(34)
Obligation:
Complexity RNTS consisting of the following rules:

   encArg(z) -{ 0 }-> te(te(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> te(sortSu(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> te(1) :|: z = 1 + 1
   encArg(z) -{ 0 }-> te(0) :|: z = 1 + 0
   encArg(z) -{ 0 }-> te(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> te(1 + encArg(z - 2)) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> te(1 + encArg(x_110) + encArg(x_26)) :|: x_26 >= 0, z = 1 + (1 + x_110 + x_26), x_110 >= 0
   encArg(z) -{ 0 }-> te(1 + encArg(x_16) + encArg(x_23)) :|: z = 1 + (1 + x_16 + x_23), x_16 >= 0, x_23 >= 0
   encArg(z) -{ 0 }-> te(1 + encArg(x_17) + encArg(x_24)) :|: x_17 >= 0, x_24 >= 0, z = 1 + (1 + x_17 + x_24)
   encArg(z) -{ 0 }-> te(1 + encArg(x_18) + encArg(x_25)) :|: x_25 >= 0, x_18 >= 0, z = 1 + (1 + x_18 + x_25)
   encArg(z) -{ 0 }-> sortSu(te(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> sortSu(sortSu(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> sortSu(1) :|: z = 1 + 1
   encArg(z) -{ 0 }-> sortSu(0) :|: z = 1 + 0
   encArg(z) -{ 0 }-> sortSu(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> sortSu(1 + encArg(z - 2)) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> sortSu(1 + encArg(x_1') + encArg(x_2')) :|: z = 1 + (1 + x_1' + x_2'), x_2' >= 0, x_1' >= 0
   encArg(z) -{ 0 }-> sortSu(1 + encArg(x_1'') + encArg(x_2'')) :|: x_1'' >= 0, z = 1 + (1 + x_1'' + x_2''), x_2'' >= 0
   encArg(z) -{ 0 }-> sortSu(1 + encArg(x_11) + encArg(x_21)) :|: x_11 >= 0, z = 1 + (1 + x_11 + x_21), x_21 >= 0
   encArg(z) -{ 0 }-> sortSu(1 + encArg(x_13) + encArg(x_22)) :|: x_13 >= 0, z = 1 + (1 + x_13 + x_22), x_22 >= 0
   encArg(z) -{ 0 }-> 1 :|: z = 1
   encArg(z) -{ 0 }-> 0 :|: z = 0
   encArg(z) -{ 0 }-> 0 :|: z >= 0
   encArg(z) -{ 0 }-> 1 + encArg(z - 1) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encode_circ(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0
   encode_circ(z, z') -{ 0 }-> 1 + encArg(z) + encArg(z') :|: z >= 0, z' >= 0
   encode_cons(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0
   encode_cons(z, z') -{ 0 }-> 1 + encArg(z) + encArg(z') :|: z >= 0, z' >= 0
   encode_id -{ 0 }-> 0 :|: 
   encode_lift -{ 0 }-> 1 :|: 
   encode_lift -{ 0 }-> 0 :|: 
   encode_msubst(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0
   encode_msubst(z, z') -{ 0 }-> 1 + encArg(z) + encArg(z') :|: z >= 0, z' >= 0
   encode_sop(z) -{ 0 }-> 0 :|: z >= 0
   encode_sop(z) -{ 0 }-> 1 + encArg(z) :|: z >= 0
   encode_sortSu(z) -{ 0 }-> sortSu(te(encArg(z - 1))) :|: z - 1 >= 0
   encode_sortSu(z) -{ 0 }-> sortSu(sortSu(encArg(z - 1))) :|: z - 1 >= 0
   encode_sortSu(z) -{ 0 }-> sortSu(1) :|: z = 1
   encode_sortSu(z) -{ 0 }-> sortSu(0) :|: z = 0
   encode_sortSu(z) -{ 0 }-> sortSu(0) :|: z >= 0
   encode_sortSu(z) -{ 0 }-> sortSu(1 + encArg(z - 1)) :|: z - 1 >= 0
   encode_sortSu(z) -{ 0 }-> sortSu(1 + encArg(x_113) + encArg(x_27)) :|: x_113 >= 0, z = 1 + x_113 + x_27, x_27 >= 0
   encode_sortSu(z) -{ 0 }-> sortSu(1 + encArg(x_114) + encArg(x_28)) :|: x_114 >= 0, x_28 >= 0, z = 1 + x_114 + x_28
   encode_sortSu(z) -{ 0 }-> sortSu(1 + encArg(x_115) + encArg(x_29)) :|: x_115 >= 0, z = 1 + x_115 + x_29, x_29 >= 0
   encode_sortSu(z) -{ 0 }-> sortSu(1 + encArg(x_117) + encArg(x_210)) :|: z = 1 + x_117 + x_210, x_117 >= 0, x_210 >= 0
   encode_sortSu(z) -{ 0 }-> 0 :|: z >= 0
   encode_subst(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0
   encode_subst(z, z') -{ 0 }-> 1 + encArg(z) + encArg(z') :|: z >= 0, z' >= 0
   encode_te(z) -{ 0 }-> te(te(encArg(z - 1))) :|: z - 1 >= 0
   encode_te(z) -{ 0 }-> te(sortSu(encArg(z - 1))) :|: z - 1 >= 0
   encode_te(z) -{ 0 }-> te(1) :|: z = 1
   encode_te(z) -{ 0 }-> te(0) :|: z = 0
   encode_te(z) -{ 0 }-> te(0) :|: z >= 0
   encode_te(z) -{ 0 }-> te(1 + encArg(z - 1)) :|: z - 1 >= 0
   encode_te(z) -{ 0 }-> te(1 + encArg(x_120) + encArg(x_211)) :|: x_120 >= 0, z = 1 + x_120 + x_211, x_211 >= 0
   encode_te(z) -{ 0 }-> te(1 + encArg(x_121) + encArg(x_212)) :|: x_212 >= 0, z = 1 + x_121 + x_212, x_121 >= 0
   encode_te(z) -{ 0 }-> te(1 + encArg(x_122) + encArg(x_213)) :|: x_213 >= 0, z = 1 + x_122 + x_213, x_122 >= 0
   encode_te(z) -{ 0 }-> te(1 + encArg(x_124) + encArg(x_214)) :|: x_124 >= 0, x_214 >= 0, z = 1 + x_124 + x_214
   encode_te(z) -{ 0 }-> 0 :|: z >= 0
   sortSu(z) -{ 1 }-> sortSu(z - 3) :|: z - 3 >= 0
   sortSu(z) -{ 1 }-> sortSu(1 + te(a) + sortSu(1 + sortSu(s) + sortSu(t))) :|: z = 1 + (1 + (1 + (1 + 1) + (1 + s))) + (1 + (1 + (1 + a) + (1 + t))), a >= 0, t >= 0, s >= 0
   sortSu(z) -{ 1 }-> sortSu(1 + te(1 + te(a) + sortSu(t)) + sortSu(1 + sortSu(s) + sortSu(t))) :|: a >= 0, t >= 0, s >= 0, z = 1 + (1 + (1 + (1 + a) + (1 + s))) + (1 + t)
   sortSu(z) -{ 1 }-> sortSu(1 + sortSu(s) + sortSu(1 + sortSu(t) + sortSu(u))) :|: z = 1 + (1 + (1 + (1 + s) + (1 + t))) + (1 + u), t >= 0, s >= 0, u >= 0
   sortSu(z) -{ 1 }-> sortSu(1 + sortSu(1 + (1 + 1) + sortSu(1 + sortSu(s) + sortSu(t))) + sortSu(u)) :|: z = 1 + (1 + (1 + (1 + 1) + (1 + s))) + (1 + (1 + (1 + (1 + (1 + 1) + (1 + t))) + (1 + u))), t >= 0, s >= 0, u >= 0
   sortSu(z) -{ 1 }-> sortSu(1 + (1 + 1) + sortSu(1 + sortSu(s) + sortSu(t))) :|: t >= 0, s >= 0, z = 1 + (1 + (1 + (1 + 1) + (1 + s))) + (1 + (1 + (1 + 1) + (1 + t)))
   sortSu(z) -{ 0 }-> 0 :|: z >= 0
   sortSu(z) -{ 0 }-> 1 + z :|: z >= 0
   te(z) -{ 1 }-> te(z - 3) :|: z - 3 >= 0
   te(z) -{ 1 }-> te(1 + te(a) + sortSu(1 + sortSu(s) + sortSu(t))) :|: a >= 0, t >= 0, s >= 0, z = 1 + (1 + (1 + (1 + a) + (1 + s))) + (1 + t)
   te(z) -{ 0 }-> 0 :|: z >= 0
   te(z) -{ 0 }-> 1 + z :|: z >= 0


----------------------------------------

(35) CpxTrsToCdtProof (UPPER BOUND(ID))
Converted Cpx (relative) TRS to CDT
----------------------------------------

(36)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   encode_sortSu(z0) -> sortSu(encArg(z0))
   encode_circ(z0, z1) -> circ(encArg(z0), encArg(z1))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_te(z0) -> te(encArg(z0))
   encode_msubst(z0, z1) -> msubst(encArg(z0), encArg(z1))
   encode_sop(z0) -> sop(encArg(z0))
   encode_lift -> lift
   encode_id -> id
   encode_subst(z0, z1) -> subst(encArg(z0), encArg(z1))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(lift) -> c4
   ENCARG(id) -> c5
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   ENCARG(cons_sortSu(z0)) -> c7(SORTSU(encArg(z0)), ENCARG(z0))
   ENCARG(cons_te(z0)) -> c8(TE(encArg(z0)), ENCARG(z0))
   ENCODE_SORTSU(z0) -> c9(SORTSU(encArg(z0)), ENCARG(z0))
   ENCODE_CIRC(z0, z1) -> c10(ENCARG(z0), ENCARG(z1))
   ENCODE_CONS(z0, z1) -> c11(ENCARG(z0), ENCARG(z1))
   ENCODE_TE(z0) -> c12(TE(encArg(z0)), ENCARG(z0))
   ENCODE_MSUBST(z0, z1) -> c13(ENCARG(z0), ENCARG(z1))
   ENCODE_SOP(z0) -> c14(ENCARG(z0))
   ENCODE_LIFT -> c15
   ENCODE_ID -> c16
   ENCODE_SUBST(z0, z1) -> c17(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(SORTSU(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(SORTSU(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2))))), TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
S tuples:
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(SORTSU(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(SORTSU(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2))))), TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   sortSu_1, te_1, encArg_1, encode_sortSu_1, encode_circ_2, encode_cons_2, encode_te_1, encode_msubst_2, encode_sop_1, encode_lift, encode_id, encode_subst_2

Defined Pair Symbols:   ENCARG_1, ENCODE_SORTSU_1, ENCODE_CIRC_2, ENCODE_CONS_2, ENCODE_TE_1, ENCODE_MSUBST_2, ENCODE_SOP_1, ENCODE_LIFT, ENCODE_ID, ENCODE_SUBST_2, SORTSU_1, TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c4, c5, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_2, c13_2, c14_1, c15, c16, c17_2, c18_7, c19_5, c20_4, c21_5, c22_1, c23_1, c24_6, c25_1, c26_1, c27_5


----------------------------------------

(37) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 5 leading nodes:
   ENCODE_CIRC(z0, z1) -> c10(ENCARG(z0), ENCARG(z1))
   ENCODE_CONS(z0, z1) -> c11(ENCARG(z0), ENCARG(z1))
   ENCODE_MSUBST(z0, z1) -> c13(ENCARG(z0), ENCARG(z1))
   ENCODE_SOP(z0) -> c14(ENCARG(z0))
   ENCODE_SUBST(z0, z1) -> c17(ENCARG(z0), ENCARG(z1))
Removed 4 trailing nodes:
   ENCODE_LIFT -> c15
   ENCARG(id) -> c5
   ENCARG(lift) -> c4
   ENCODE_ID -> c16

----------------------------------------

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   encode_sortSu(z0) -> sortSu(encArg(z0))
   encode_circ(z0, z1) -> circ(encArg(z0), encArg(z1))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_te(z0) -> te(encArg(z0))
   encode_msubst(z0, z1) -> msubst(encArg(z0), encArg(z1))
   encode_sop(z0) -> sop(encArg(z0))
   encode_lift -> lift
   encode_id -> id
   encode_subst(z0, z1) -> subst(encArg(z0), encArg(z1))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   ENCARG(cons_sortSu(z0)) -> c7(SORTSU(encArg(z0)), ENCARG(z0))
   ENCARG(cons_te(z0)) -> c8(TE(encArg(z0)), ENCARG(z0))
   ENCODE_SORTSU(z0) -> c9(SORTSU(encArg(z0)), ENCARG(z0))
   ENCODE_TE(z0) -> c12(TE(encArg(z0)), ENCARG(z0))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(SORTSU(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(SORTSU(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2))))), TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
S tuples:
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(SORTSU(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(SORTSU(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2))))), TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   sortSu_1, te_1, encArg_1, encode_sortSu_1, encode_circ_2, encode_cons_2, encode_te_1, encode_msubst_2, encode_sop_1, encode_lift, encode_id, encode_subst_2

Defined Pair Symbols:   ENCARG_1, ENCODE_SORTSU_1, ENCODE_TE_1, SORTSU_1, TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c7_2, c8_2, c9_2, c12_2, c18_7, c19_5, c20_4, c21_5, c22_1, c23_1, c24_6, c25_1, c26_1, c27_5


----------------------------------------

(39) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   encode_sortSu(z0) -> sortSu(encArg(z0))
   encode_circ(z0, z1) -> circ(encArg(z0), encArg(z1))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_te(z0) -> te(encArg(z0))
   encode_msubst(z0, z1) -> msubst(encArg(z0), encArg(z1))
   encode_sop(z0) -> sop(encArg(z0))
   encode_lift -> lift
   encode_id -> id
   encode_subst(z0, z1) -> subst(encArg(z0), encArg(z1))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   ENCARG(cons_sortSu(z0)) -> c7(SORTSU(encArg(z0)), ENCARG(z0))
   ENCARG(cons_te(z0)) -> c8(TE(encArg(z0)), ENCARG(z0))
   ENCODE_SORTSU(z0) -> c9(SORTSU(encArg(z0)), ENCARG(z0))
   ENCODE_TE(z0) -> c12(TE(encArg(z0)), ENCARG(z0))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   sortSu_1, te_1, encArg_1, encode_sortSu_1, encode_circ_2, encode_cons_2, encode_te_1, encode_msubst_2, encode_sop_1, encode_lift, encode_id, encode_subst_2

Defined Pair Symbols:   ENCARG_1, ENCODE_SORTSU_1, ENCODE_TE_1, SORTSU_1, TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c7_2, c8_2, c9_2, c12_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5


----------------------------------------

(41) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID))
Split RHS of tuples not part of any SCC
----------------------------------------

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   encode_sortSu(z0) -> sortSu(encArg(z0))
   encode_circ(z0, z1) -> circ(encArg(z0), encArg(z1))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_te(z0) -> te(encArg(z0))
   encode_msubst(z0, z1) -> msubst(encArg(z0), encArg(z1))
   encode_sop(z0) -> sop(encArg(z0))
   encode_lift -> lift
   encode_id -> id
   encode_subst(z0, z1) -> subst(encArg(z0), encArg(z1))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   ENCARG(cons_sortSu(z0)) -> c7(SORTSU(encArg(z0)), ENCARG(z0))
   ENCARG(cons_te(z0)) -> c8(TE(encArg(z0)), ENCARG(z0))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCODE_SORTSU(z0) -> c4(SORTSU(encArg(z0)))
   ENCODE_SORTSU(z0) -> c4(ENCARG(z0))
   ENCODE_TE(z0) -> c4(TE(encArg(z0)))
   ENCODE_TE(z0) -> c4(ENCARG(z0))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   sortSu_1, te_1, encArg_1, encode_sortSu_1, encode_circ_2, encode_cons_2, encode_te_1, encode_msubst_2, encode_sop_1, encode_lift, encode_id, encode_subst_2

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c7_2, c8_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c4_1


----------------------------------------

(43) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 2 leading nodes:
   ENCODE_SORTSU(z0) -> c4(ENCARG(z0))
   ENCODE_TE(z0) -> c4(ENCARG(z0))

----------------------------------------

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   encode_sortSu(z0) -> sortSu(encArg(z0))
   encode_circ(z0, z1) -> circ(encArg(z0), encArg(z1))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_te(z0) -> te(encArg(z0))
   encode_msubst(z0, z1) -> msubst(encArg(z0), encArg(z1))
   encode_sop(z0) -> sop(encArg(z0))
   encode_lift -> lift
   encode_id -> id
   encode_subst(z0, z1) -> subst(encArg(z0), encArg(z1))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   ENCARG(cons_sortSu(z0)) -> c7(SORTSU(encArg(z0)), ENCARG(z0))
   ENCARG(cons_te(z0)) -> c8(TE(encArg(z0)), ENCARG(z0))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCODE_SORTSU(z0) -> c4(SORTSU(encArg(z0)))
   ENCODE_TE(z0) -> c4(TE(encArg(z0)))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   sortSu_1, te_1, encArg_1, encode_sortSu_1, encode_circ_2, encode_cons_2, encode_te_1, encode_msubst_2, encode_sop_1, encode_lift, encode_id, encode_subst_2

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c7_2, c8_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c4_1


----------------------------------------

(45) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_sortSu(z0) -> sortSu(encArg(z0))
   encode_circ(z0, z1) -> circ(encArg(z0), encArg(z1))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_te(z0) -> te(encArg(z0))
   encode_msubst(z0, z1) -> msubst(encArg(z0), encArg(z1))
   encode_sop(z0) -> sop(encArg(z0))
   encode_lift -> lift
   encode_id -> id
   encode_subst(z0, z1) -> subst(encArg(z0), encArg(z1))

----------------------------------------

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   ENCARG(cons_sortSu(z0)) -> c7(SORTSU(encArg(z0)), ENCARG(z0))
   ENCARG(cons_te(z0)) -> c8(TE(encArg(z0)), ENCARG(z0))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCODE_SORTSU(z0) -> c4(SORTSU(encArg(z0)))
   ENCODE_TE(z0) -> c4(TE(encArg(z0)))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c7_2, c8_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c4_1


----------------------------------------

(47) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_sortSu(z0)) -> c7(SORTSU(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_sortSu(circ(z0, z1))) -> c7(SORTSU(circ(encArg(z0), encArg(z1))), ENCARG(circ(z0, z1)))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(SORTSU(cons(encArg(z0), encArg(z1))), ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(SORTSU(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(SORTSU(sop(encArg(z0))), ENCARG(sop(z0)))
   ENCARG(cons_sortSu(lift)) -> c7(SORTSU(lift), ENCARG(lift))
   ENCARG(cons_sortSu(id)) -> c7(SORTSU(id), ENCARG(id))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(SORTSU(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_sortSu(cons_sortSu(z0))) -> c7(SORTSU(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0)))

----------------------------------------

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   ENCARG(cons_te(z0)) -> c8(TE(encArg(z0)), ENCARG(z0))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCODE_SORTSU(z0) -> c4(SORTSU(encArg(z0)))
   ENCODE_TE(z0) -> c4(TE(encArg(z0)))
   ENCARG(cons_sortSu(circ(z0, z1))) -> c7(SORTSU(circ(encArg(z0), encArg(z1))), ENCARG(circ(z0, z1)))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(SORTSU(cons(encArg(z0), encArg(z1))), ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(SORTSU(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(SORTSU(sop(encArg(z0))), ENCARG(sop(z0)))
   ENCARG(cons_sortSu(lift)) -> c7(SORTSU(lift), ENCARG(lift))
   ENCARG(cons_sortSu(id)) -> c7(SORTSU(id), ENCARG(id))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(SORTSU(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_sortSu(cons_sortSu(z0))) -> c7(SORTSU(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0)))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c8_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c4_1, c7_2


----------------------------------------

(49) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_sortSu(lift)) -> c7(SORTSU(lift), ENCARG(lift))
   ENCARG(cons_sortSu(id)) -> c7(SORTSU(id), ENCARG(id))

----------------------------------------

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   ENCARG(cons_te(z0)) -> c8(TE(encArg(z0)), ENCARG(z0))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCODE_SORTSU(z0) -> c4(SORTSU(encArg(z0)))
   ENCODE_TE(z0) -> c4(TE(encArg(z0)))
   ENCARG(cons_sortSu(circ(z0, z1))) -> c7(SORTSU(circ(encArg(z0), encArg(z1))), ENCARG(circ(z0, z1)))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(SORTSU(cons(encArg(z0), encArg(z1))), ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(SORTSU(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(SORTSU(sop(encArg(z0))), ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(SORTSU(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_sortSu(cons_sortSu(z0))) -> c7(SORTSU(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0)))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c8_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c4_1, c7_2


----------------------------------------

(51) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   ENCARG(cons_te(z0)) -> c8(TE(encArg(z0)), ENCARG(z0))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCODE_SORTSU(z0) -> c4(SORTSU(encArg(z0)))
   ENCODE_TE(z0) -> c4(TE(encArg(z0)))
   ENCARG(cons_sortSu(circ(z0, z1))) -> c7(SORTSU(circ(encArg(z0), encArg(z1))), ENCARG(circ(z0, z1)))
   ENCARG(cons_sortSu(cons_sortSu(z0))) -> c7(SORTSU(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c8_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c4_1, c7_2, c7_1


----------------------------------------

(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_te(z0)) -> c8(TE(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_te(circ(z0, z1))) -> c8(TE(circ(encArg(z0), encArg(z1))), ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(TE(cons(encArg(z0), encArg(z1))), ENCARG(cons(z0, z1)))
   ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(TE(sop(encArg(z0))), ENCARG(sop(z0)))
   ENCARG(cons_te(lift)) -> c8(TE(lift), ENCARG(lift))
   ENCARG(cons_te(id)) -> c8(TE(id), ENCARG(id))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))

----------------------------------------

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCODE_SORTSU(z0) -> c4(SORTSU(encArg(z0)))
   ENCODE_TE(z0) -> c4(TE(encArg(z0)))
   ENCARG(cons_sortSu(circ(z0, z1))) -> c7(SORTSU(circ(encArg(z0), encArg(z1))), ENCARG(circ(z0, z1)))
   ENCARG(cons_sortSu(cons_sortSu(z0))) -> c7(SORTSU(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(TE(circ(encArg(z0), encArg(z1))), ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(TE(cons(encArg(z0), encArg(z1))), ENCARG(cons(z0, z1)))
   ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(TE(sop(encArg(z0))), ENCARG(sop(z0)))
   ENCARG(cons_te(lift)) -> c8(TE(lift), ENCARG(lift))
   ENCARG(cons_te(id)) -> c8(TE(id), ENCARG(id))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c4_1, c7_2, c7_1, c8_2


----------------------------------------

(55) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_te(lift)) -> c8(TE(lift), ENCARG(lift))
   ENCARG(cons_te(id)) -> c8(TE(id), ENCARG(id))

----------------------------------------

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCODE_SORTSU(z0) -> c4(SORTSU(encArg(z0)))
   ENCODE_TE(z0) -> c4(TE(encArg(z0)))
   ENCARG(cons_sortSu(circ(z0, z1))) -> c7(SORTSU(circ(encArg(z0), encArg(z1))), ENCARG(circ(z0, z1)))
   ENCARG(cons_sortSu(cons_sortSu(z0))) -> c7(SORTSU(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(TE(circ(encArg(z0), encArg(z1))), ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(TE(cons(encArg(z0), encArg(z1))), ENCARG(cons(z0, z1)))
   ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(TE(sop(encArg(z0))), ENCARG(sop(z0)))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c4_1, c7_2, c7_1, c8_2


----------------------------------------

(57) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing tuple parts
----------------------------------------

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCODE_SORTSU(z0) -> c4(SORTSU(encArg(z0)))
   ENCODE_TE(z0) -> c4(TE(encArg(z0)))
   ENCARG(cons_sortSu(circ(z0, z1))) -> c7(SORTSU(circ(encArg(z0), encArg(z1))), ENCARG(circ(z0, z1)))
   ENCARG(cons_sortSu(cons_sortSu(z0))) -> c7(SORTSU(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c4_1, c7_2, c7_1, c8_2, c8_1


----------------------------------------

(59) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_SORTSU(z0) -> c4(SORTSU(encArg(z0))) by 
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons(z0, z1)) -> c4(SORTSU(cons(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(msubst(z0, z1)) -> c4(SORTSU(msubst(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(sop(z0)) -> c4(SORTSU(sop(encArg(z0))))
   ENCODE_SORTSU(lift) -> c4(SORTSU(lift))
   ENCODE_SORTSU(id) -> c4(SORTSU(id))
   ENCODE_SORTSU(subst(z0, z1)) -> c4(SORTSU(subst(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))

----------------------------------------

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCODE_TE(z0) -> c4(TE(encArg(z0)))
   ENCARG(cons_sortSu(circ(z0, z1))) -> c7(SORTSU(circ(encArg(z0), encArg(z1))), ENCARG(circ(z0, z1)))
   ENCARG(cons_sortSu(cons_sortSu(z0))) -> c7(SORTSU(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons(z0, z1)) -> c4(SORTSU(cons(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(msubst(z0, z1)) -> c4(SORTSU(msubst(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(sop(z0)) -> c4(SORTSU(sop(encArg(z0))))
   ENCODE_SORTSU(lift) -> c4(SORTSU(lift))
   ENCODE_SORTSU(id) -> c4(SORTSU(id))
   ENCODE_SORTSU(subst(z0, z1)) -> c4(SORTSU(subst(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_TE_1, ENCODE_SORTSU_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c4_1, c7_2, c7_1, c8_2, c8_1


----------------------------------------

(61) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 6 trailing nodes:
   ENCODE_SORTSU(id) -> c4(SORTSU(id))
   ENCODE_SORTSU(lift) -> c4(SORTSU(lift))
   ENCODE_SORTSU(msubst(z0, z1)) -> c4(SORTSU(msubst(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(sop(z0)) -> c4(SORTSU(sop(encArg(z0))))
   ENCODE_SORTSU(cons(z0, z1)) -> c4(SORTSU(cons(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(subst(z0, z1)) -> c4(SORTSU(subst(encArg(z0), encArg(z1))))

----------------------------------------

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCODE_TE(z0) -> c4(TE(encArg(z0)))
   ENCARG(cons_sortSu(circ(z0, z1))) -> c7(SORTSU(circ(encArg(z0), encArg(z1))), ENCARG(circ(z0, z1)))
   ENCARG(cons_sortSu(cons_sortSu(z0))) -> c7(SORTSU(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_TE_1, ENCODE_SORTSU_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c4_1, c7_2, c7_1, c8_2, c8_1


----------------------------------------

(63) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_TE(z0) -> c4(TE(encArg(z0))) by 
   ENCODE_TE(circ(z0, z1)) -> c4(TE(circ(encArg(z0), encArg(z1))))
   ENCODE_TE(cons(z0, z1)) -> c4(TE(cons(encArg(z0), encArg(z1))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(sop(z0)) -> c4(TE(sop(encArg(z0))))
   ENCODE_TE(lift) -> c4(TE(lift))
   ENCODE_TE(id) -> c4(TE(id))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))

----------------------------------------

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(circ(z0, z1))) -> c7(SORTSU(circ(encArg(z0), encArg(z1))), ENCARG(circ(z0, z1)))
   ENCARG(cons_sortSu(cons_sortSu(z0))) -> c7(SORTSU(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(circ(z0, z1)) -> c4(TE(circ(encArg(z0), encArg(z1))))
   ENCODE_TE(cons(z0, z1)) -> c4(TE(cons(encArg(z0), encArg(z1))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(sop(z0)) -> c4(TE(sop(encArg(z0))))
   ENCODE_TE(lift) -> c4(TE(lift))
   ENCODE_TE(id) -> c4(TE(id))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_2, c7_1, c8_2, c8_1, c4_1


----------------------------------------

(65) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 5 trailing nodes:
   ENCODE_TE(lift) -> c4(TE(lift))
   ENCODE_TE(id) -> c4(TE(id))
   ENCODE_TE(cons(z0, z1)) -> c4(TE(cons(encArg(z0), encArg(z1))))
   ENCODE_TE(circ(z0, z1)) -> c4(TE(circ(encArg(z0), encArg(z1))))
   ENCODE_TE(sop(z0)) -> c4(TE(sop(encArg(z0))))

----------------------------------------

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(circ(z0, z1))) -> c7(SORTSU(circ(encArg(z0), encArg(z1))), ENCARG(circ(z0, z1)))
   ENCARG(cons_sortSu(cons_sortSu(z0))) -> c7(SORTSU(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_2, c7_1, c8_2, c8_1, c4_1


----------------------------------------

(67) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_sortSu(circ(z0, z1))) -> c7(SORTSU(circ(encArg(z0), encArg(z1))), ENCARG(circ(z0, z1))) by 
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(SORTSU(circ(encArg(x0), circ(encArg(z0), encArg(z1)))), ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(SORTSU(circ(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(SORTSU(circ(encArg(x0), msubst(encArg(z0), encArg(z1)))), ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(SORTSU(circ(encArg(x0), sop(encArg(z0)))), ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(SORTSU(circ(encArg(x0), lift)), ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(SORTSU(circ(encArg(x0), id)), ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(SORTSU(circ(encArg(x0), subst(encArg(z0), encArg(z1)))), ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(SORTSU(circ(circ(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(SORTSU(circ(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(SORTSU(circ(msubst(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(SORTSU(circ(sop(encArg(z0)), encArg(x1))), ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(SORTSU(circ(lift, encArg(x1))), ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(SORTSU(circ(id, encArg(x1))), ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(SORTSU(circ(subst(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))

----------------------------------------

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons_sortSu(z0))) -> c7(SORTSU(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(SORTSU(circ(encArg(x0), circ(encArg(z0), encArg(z1)))), ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(SORTSU(circ(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(SORTSU(circ(encArg(x0), msubst(encArg(z0), encArg(z1)))), ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(SORTSU(circ(encArg(x0), sop(encArg(z0)))), ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(SORTSU(circ(encArg(x0), lift)), ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(SORTSU(circ(encArg(x0), id)), ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(SORTSU(circ(encArg(x0), subst(encArg(z0), encArg(z1)))), ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(SORTSU(circ(circ(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(SORTSU(circ(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(SORTSU(circ(msubst(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(SORTSU(circ(sop(encArg(z0)), encArg(x1))), ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(SORTSU(circ(lift, encArg(x1))), ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(SORTSU(circ(id, encArg(x1))), ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(SORTSU(circ(subst(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_2, c7_1, c8_2, c8_1, c4_1


----------------------------------------

(69) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 14 trailing tuple parts
----------------------------------------

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons_sortSu(z0))) -> c7(SORTSU(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_2, c7_1, c8_2, c8_1, c4_1


----------------------------------------

(71) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_sortSu(cons_sortSu(z0))) -> c7(SORTSU(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0))) by 
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(SORTSU(sortSu(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(SORTSU(sortSu(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(SORTSU(sortSu(sop(encArg(z0)))), ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(lift))) -> c7(SORTSU(sortSu(lift)), ENCARG(cons_sortSu(lift)))
   ENCARG(cons_sortSu(cons_sortSu(id))) -> c7(SORTSU(sortSu(id)), ENCARG(cons_sortSu(id)))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(SORTSU(sortSu(subst(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))

----------------------------------------

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(SORTSU(sortSu(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(SORTSU(sortSu(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(SORTSU(sortSu(sop(encArg(z0)))), ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(lift))) -> c7(SORTSU(sortSu(lift)), ENCARG(cons_sortSu(lift)))
   ENCARG(cons_sortSu(cons_sortSu(id))) -> c7(SORTSU(sortSu(id)), ENCARG(cons_sortSu(id)))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(SORTSU(sortSu(subst(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_2, c7_1, c8_2, c8_1, c4_1


----------------------------------------

(73) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_sortSu(cons_sortSu(id))) -> c7(SORTSU(sortSu(id)), ENCARG(cons_sortSu(id)))
   ENCARG(cons_sortSu(cons_sortSu(lift))) -> c7(SORTSU(sortSu(lift)), ENCARG(cons_sortSu(lift)))

----------------------------------------

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(SORTSU(sortSu(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(SORTSU(sortSu(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(SORTSU(sortSu(sop(encArg(z0)))), ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(SORTSU(sortSu(subst(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_2, c7_1, c8_2, c8_1, c4_1


----------------------------------------

(75) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_2, c7_1, c8_2, c8_1, c4_1


----------------------------------------

(77) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_sortSu(cons_te(z0))) -> c7(SORTSU(te(encArg(z0))), ENCARG(cons_te(z0))) by 
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(SORTSU(te(circ(encArg(z0), encArg(z1)))), ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(SORTSU(te(cons(encArg(z0), encArg(z1)))), ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(SORTSU(te(sop(encArg(z0)))), ENCARG(cons_te(sop(z0))))
   ENCARG(cons_sortSu(cons_te(lift))) -> c7(SORTSU(te(lift)), ENCARG(cons_te(lift)))
   ENCARG(cons_sortSu(cons_te(id))) -> c7(SORTSU(te(id)), ENCARG(cons_te(id)))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))

----------------------------------------

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(SORTSU(te(circ(encArg(z0), encArg(z1)))), ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(SORTSU(te(cons(encArg(z0), encArg(z1)))), ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(SORTSU(te(sop(encArg(z0)))), ENCARG(cons_te(sop(z0))))
   ENCARG(cons_sortSu(cons_te(lift))) -> c7(SORTSU(te(lift)), ENCARG(cons_te(lift)))
   ENCARG(cons_sortSu(cons_te(id))) -> c7(SORTSU(te(id)), ENCARG(cons_te(id)))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_2, c8_1, c4_1, c7_2


----------------------------------------

(79) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_sortSu(cons_te(lift))) -> c7(SORTSU(te(lift)), ENCARG(cons_te(lift)))
   ENCARG(cons_sortSu(cons_te(id))) -> c7(SORTSU(te(id)), ENCARG(cons_te(id)))

----------------------------------------

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(SORTSU(te(circ(encArg(z0), encArg(z1)))), ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(SORTSU(te(cons(encArg(z0), encArg(z1)))), ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(SORTSU(te(sop(encArg(z0)))), ENCARG(cons_te(sop(z0))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_2, c8_1, c4_1, c7_2


----------------------------------------

(81) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing tuple parts
----------------------------------------

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1)))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_2, c8_1, c4_1, c7_2


----------------------------------------

(83) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_te(msubst(z0, z1))) -> c8(TE(msubst(encArg(z0), encArg(z1))), ENCARG(msubst(z0, z1))) by 
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(TE(msubst(encArg(x0), circ(encArg(z0), encArg(z1)))), ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(TE(msubst(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(TE(msubst(encArg(x0), msubst(encArg(z0), encArg(z1)))), ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(TE(msubst(encArg(x0), sop(encArg(z0)))), ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(TE(msubst(encArg(x0), lift)), ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(TE(msubst(encArg(x0), id)), ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(TE(msubst(encArg(x0), subst(encArg(z0), encArg(z1)))), ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(TE(msubst(circ(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(TE(msubst(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(TE(msubst(msubst(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(TE(msubst(sop(encArg(z0)), encArg(x1))), ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(TE(msubst(lift, encArg(x1))), ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(TE(msubst(id, encArg(x1))), ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(TE(msubst(subst(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))

----------------------------------------

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(TE(msubst(encArg(x0), circ(encArg(z0), encArg(z1)))), ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(TE(msubst(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(TE(msubst(encArg(x0), msubst(encArg(z0), encArg(z1)))), ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(TE(msubst(encArg(x0), sop(encArg(z0)))), ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(TE(msubst(encArg(x0), lift)), ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(TE(msubst(encArg(x0), id)), ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(TE(msubst(encArg(x0), subst(encArg(z0), encArg(z1)))), ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(TE(msubst(circ(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(TE(msubst(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(TE(msubst(msubst(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(TE(msubst(sop(encArg(z0)), encArg(x1))), ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(TE(msubst(lift, encArg(x1))), ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(TE(msubst(id, encArg(x1))), ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(TE(msubst(subst(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_2, c8_1, c4_1, c7_2


----------------------------------------

(85) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 14 trailing tuple parts
----------------------------------------

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_2, c8_1, c4_1, c7_2


----------------------------------------

(87) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_te(subst(z0, z1))) -> c8(TE(subst(encArg(z0), encArg(z1))), ENCARG(subst(z0, z1))) by 
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(TE(subst(encArg(x0), circ(encArg(z0), encArg(z1)))), ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(TE(subst(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(TE(subst(encArg(x0), msubst(encArg(z0), encArg(z1)))), ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(TE(subst(encArg(x0), sop(encArg(z0)))), ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(TE(subst(encArg(x0), lift)), ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(TE(subst(encArg(x0), id)), ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(TE(subst(encArg(x0), subst(encArg(z0), encArg(z1)))), ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(TE(subst(circ(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(TE(subst(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(TE(subst(msubst(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(TE(subst(sop(encArg(z0)), encArg(x1))), ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(TE(subst(lift, encArg(x1))), ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(TE(subst(id, encArg(x1))), ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(TE(subst(subst(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))

----------------------------------------

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(TE(subst(encArg(x0), circ(encArg(z0), encArg(z1)))), ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(TE(subst(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(TE(subst(encArg(x0), msubst(encArg(z0), encArg(z1)))), ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(TE(subst(encArg(x0), sop(encArg(z0)))), ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(TE(subst(encArg(x0), lift)), ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(TE(subst(encArg(x0), id)), ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(TE(subst(encArg(x0), subst(encArg(z0), encArg(z1)))), ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(TE(subst(circ(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(TE(subst(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(TE(subst(msubst(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(TE(subst(sop(encArg(z0)), encArg(x1))), ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(TE(subst(lift, encArg(x1))), ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(TE(subst(id, encArg(x1))), ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(TE(subst(subst(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_2, c8_1, c4_1, c7_2


----------------------------------------

(89) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 14 trailing tuple parts
----------------------------------------

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_2, c8_1, c4_1, c7_2


----------------------------------------

(91) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_te(cons_sortSu(z0))) -> c8(TE(sortSu(encArg(z0))), ENCARG(cons_sortSu(z0))) by 
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(TE(sortSu(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(TE(sortSu(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(TE(sortSu(sop(encArg(z0)))), ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(lift))) -> c8(TE(sortSu(lift)), ENCARG(cons_sortSu(lift)))
   ENCARG(cons_te(cons_sortSu(id))) -> c8(TE(sortSu(id)), ENCARG(cons_sortSu(id)))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(TE(sortSu(subst(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))

----------------------------------------

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(TE(sortSu(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(TE(sortSu(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(TE(sortSu(sop(encArg(z0)))), ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(lift))) -> c8(TE(sortSu(lift)), ENCARG(cons_sortSu(lift)))
   ENCARG(cons_te(cons_sortSu(id))) -> c8(TE(sortSu(id)), ENCARG(cons_sortSu(id)))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(TE(sortSu(subst(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_2, c8_1, c4_1, c7_2


----------------------------------------

(93) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_te(cons_sortSu(id))) -> c8(TE(sortSu(id)), ENCARG(cons_sortSu(id)))
   ENCARG(cons_te(cons_sortSu(lift))) -> c8(TE(sortSu(lift)), ENCARG(cons_sortSu(lift)))

----------------------------------------

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(TE(sortSu(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(TE(sortSu(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(TE(sortSu(sop(encArg(z0)))), ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(TE(sortSu(subst(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_2, c8_1, c4_1, c7_2


----------------------------------------

(95) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_2, c8_1, c4_1, c7_2


----------------------------------------

(97) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_te(cons_te(z0))) -> c8(TE(te(encArg(z0))), ENCARG(cons_te(z0))) by 
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(TE(te(circ(encArg(z0), encArg(z1)))), ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(TE(te(cons(encArg(z0), encArg(z1)))), ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(TE(te(sop(encArg(z0)))), ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(cons_te(lift))) -> c8(TE(te(lift)), ENCARG(cons_te(lift)))
   ENCARG(cons_te(cons_te(id))) -> c8(TE(te(id)), ENCARG(cons_te(id)))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))

----------------------------------------

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(TE(te(circ(encArg(z0), encArg(z1)))), ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(TE(te(cons(encArg(z0), encArg(z1)))), ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(TE(te(sop(encArg(z0)))), ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(cons_te(lift))) -> c8(TE(te(lift)), ENCARG(cons_te(lift)))
   ENCARG(cons_te(cons_te(id))) -> c8(TE(te(id)), ENCARG(cons_te(id)))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c4_1, c7_2, c8_2


----------------------------------------

(99) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_te(cons_te(id))) -> c8(TE(te(id)), ENCARG(cons_te(id)))
   ENCARG(cons_te(cons_te(lift))) -> c8(TE(te(lift)), ENCARG(cons_te(lift)))

----------------------------------------

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(TE(te(circ(encArg(z0), encArg(z1)))), ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(TE(te(cons(encArg(z0), encArg(z1)))), ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(TE(te(sop(encArg(z0)))), ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c4_1, c7_2, c8_2


----------------------------------------

(101) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing tuple parts
----------------------------------------

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1))))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c4_1, c7_2, c8_2


----------------------------------------

(103) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_SORTSU(circ(z0, z1)) -> c4(SORTSU(circ(encArg(z0), encArg(z1)))) by 
   ENCODE_SORTSU(circ(x0, circ(z0, z1))) -> c4(SORTSU(circ(encArg(x0), circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(circ(x0, cons(z0, z1))) -> c4(SORTSU(circ(encArg(x0), cons(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(circ(x0, msubst(z0, z1))) -> c4(SORTSU(circ(encArg(x0), msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(circ(x0, sop(z0))) -> c4(SORTSU(circ(encArg(x0), sop(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, lift)) -> c4(SORTSU(circ(encArg(x0), lift)))
   ENCODE_SORTSU(circ(x0, id)) -> c4(SORTSU(circ(encArg(x0), id)))
   ENCODE_SORTSU(circ(x0, subst(z0, z1))) -> c4(SORTSU(circ(encArg(x0), subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(circ(z0, z1), x1)) -> c4(SORTSU(circ(circ(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_SORTSU(circ(cons(z0, z1), x1)) -> c4(SORTSU(circ(cons(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_SORTSU(circ(msubst(z0, z1), x1)) -> c4(SORTSU(circ(msubst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_SORTSU(circ(sop(z0), x1)) -> c4(SORTSU(circ(sop(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(lift, x1)) -> c4(SORTSU(circ(lift, encArg(x1))))
   ENCODE_SORTSU(circ(id, x1)) -> c4(SORTSU(circ(id, encArg(x1))))
   ENCODE_SORTSU(circ(subst(z0, z1), x1)) -> c4(SORTSU(circ(subst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))

----------------------------------------

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
   ENCODE_SORTSU(circ(x0, circ(z0, z1))) -> c4(SORTSU(circ(encArg(x0), circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(circ(x0, cons(z0, z1))) -> c4(SORTSU(circ(encArg(x0), cons(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(circ(x0, msubst(z0, z1))) -> c4(SORTSU(circ(encArg(x0), msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(circ(x0, sop(z0))) -> c4(SORTSU(circ(encArg(x0), sop(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, lift)) -> c4(SORTSU(circ(encArg(x0), lift)))
   ENCODE_SORTSU(circ(x0, id)) -> c4(SORTSU(circ(encArg(x0), id)))
   ENCODE_SORTSU(circ(x0, subst(z0, z1))) -> c4(SORTSU(circ(encArg(x0), subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(circ(z0, z1), x1)) -> c4(SORTSU(circ(circ(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_SORTSU(circ(cons(z0, z1), x1)) -> c4(SORTSU(circ(cons(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_SORTSU(circ(msubst(z0, z1), x1)) -> c4(SORTSU(circ(msubst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_SORTSU(circ(sop(z0), x1)) -> c4(SORTSU(circ(sop(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(lift, x1)) -> c4(SORTSU(circ(lift, encArg(x1))))
   ENCODE_SORTSU(circ(id, x1)) -> c4(SORTSU(circ(id, encArg(x1))))
   ENCODE_SORTSU(circ(subst(z0, z1), x1)) -> c4(SORTSU(circ(subst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c4_1, c7_2, c8_2


----------------------------------------

(105) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 14 trailing nodes:
   ENCODE_SORTSU(circ(x0, circ(z0, z1))) -> c4(SORTSU(circ(encArg(x0), circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(circ(msubst(z0, z1), x1)) -> c4(SORTSU(circ(msubst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_SORTSU(circ(x0, msubst(z0, z1))) -> c4(SORTSU(circ(encArg(x0), msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(circ(id, x1)) -> c4(SORTSU(circ(id, encArg(x1))))
   ENCODE_SORTSU(circ(x0, cons(z0, z1))) -> c4(SORTSU(circ(encArg(x0), cons(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(circ(x0, id)) -> c4(SORTSU(circ(encArg(x0), id)))
   ENCODE_SORTSU(circ(x0, sop(z0))) -> c4(SORTSU(circ(encArg(x0), sop(encArg(z0)))))
   ENCODE_SORTSU(circ(cons(z0, z1), x1)) -> c4(SORTSU(circ(cons(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_SORTSU(circ(lift, x1)) -> c4(SORTSU(circ(lift, encArg(x1))))
   ENCODE_SORTSU(circ(circ(z0, z1), x1)) -> c4(SORTSU(circ(circ(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_SORTSU(circ(sop(z0), x1)) -> c4(SORTSU(circ(sop(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(x0, subst(z0, z1))) -> c4(SORTSU(circ(encArg(x0), subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(circ(subst(z0, z1), x1)) -> c4(SORTSU(circ(subst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_SORTSU(circ(x0, lift)) -> c4(SORTSU(circ(encArg(x0), lift)))

----------------------------------------

(106)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0))))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c4_1, c7_2, c8_2


----------------------------------------

(107) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_SORTSU(cons_sortSu(z0)) -> c4(SORTSU(sortSu(encArg(z0)))) by 
   ENCODE_SORTSU(cons_sortSu(circ(z0, z1))) -> c4(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons(z0, z1))) -> c4(SORTSU(sortSu(cons(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(msubst(z0, z1))) -> c4(SORTSU(sortSu(msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(sop(z0))) -> c4(SORTSU(sortSu(sop(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(lift)) -> c4(SORTSU(sortSu(lift)))
   ENCODE_SORTSU(cons_sortSu(id)) -> c4(SORTSU(sortSu(id)))
   ENCODE_SORTSU(cons_sortSu(subst(z0, z1))) -> c4(SORTSU(sortSu(subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons_sortSu(z0))) -> c4(SORTSU(sortSu(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(cons_te(z0))) -> c4(SORTSU(sortSu(te(encArg(z0)))))

----------------------------------------

(108)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(cons_sortSu(circ(z0, z1))) -> c4(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons(z0, z1))) -> c4(SORTSU(sortSu(cons(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(msubst(z0, z1))) -> c4(SORTSU(sortSu(msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(sop(z0))) -> c4(SORTSU(sortSu(sop(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(lift)) -> c4(SORTSU(sortSu(lift)))
   ENCODE_SORTSU(cons_sortSu(id)) -> c4(SORTSU(sortSu(id)))
   ENCODE_SORTSU(cons_sortSu(subst(z0, z1))) -> c4(SORTSU(sortSu(subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons_sortSu(z0))) -> c4(SORTSU(sortSu(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(cons_te(z0))) -> c4(SORTSU(sortSu(te(encArg(z0)))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c4_1, c7_2, c8_2


----------------------------------------

(109) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 6 trailing nodes:
   ENCODE_SORTSU(cons_sortSu(subst(z0, z1))) -> c4(SORTSU(sortSu(subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(lift)) -> c4(SORTSU(sortSu(lift)))
   ENCODE_SORTSU(cons_sortSu(id)) -> c4(SORTSU(sortSu(id)))
   ENCODE_SORTSU(cons_sortSu(msubst(z0, z1))) -> c4(SORTSU(sortSu(msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons(z0, z1))) -> c4(SORTSU(sortSu(cons(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(sop(z0))) -> c4(SORTSU(sortSu(sop(encArg(z0)))))

----------------------------------------

(110)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0))))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(cons_sortSu(circ(z0, z1))) -> c4(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons_sortSu(z0))) -> c4(SORTSU(sortSu(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(cons_te(z0))) -> c4(SORTSU(sortSu(te(encArg(z0)))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c4_1, c7_2, c8_2


----------------------------------------

(111) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_SORTSU(cons_te(z0)) -> c4(SORTSU(te(encArg(z0)))) by 
   ENCODE_SORTSU(cons_te(circ(z0, z1))) -> c4(SORTSU(te(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(cons(z0, z1))) -> c4(SORTSU(te(cons(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(msubst(z0, z1))) -> c4(SORTSU(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(sop(z0))) -> c4(SORTSU(te(sop(encArg(z0)))))
   ENCODE_SORTSU(cons_te(lift)) -> c4(SORTSU(te(lift)))
   ENCODE_SORTSU(cons_te(id)) -> c4(SORTSU(te(id)))
   ENCODE_SORTSU(cons_te(subst(z0, z1))) -> c4(SORTSU(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(cons_sortSu(z0))) -> c4(SORTSU(te(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_te(cons_te(z0))) -> c4(SORTSU(te(te(encArg(z0)))))

----------------------------------------

(112)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(cons_sortSu(circ(z0, z1))) -> c4(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons_sortSu(z0))) -> c4(SORTSU(sortSu(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(cons_te(z0))) -> c4(SORTSU(sortSu(te(encArg(z0)))))
   ENCODE_SORTSU(cons_te(circ(z0, z1))) -> c4(SORTSU(te(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(cons(z0, z1))) -> c4(SORTSU(te(cons(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(msubst(z0, z1))) -> c4(SORTSU(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(sop(z0))) -> c4(SORTSU(te(sop(encArg(z0)))))
   ENCODE_SORTSU(cons_te(lift)) -> c4(SORTSU(te(lift)))
   ENCODE_SORTSU(cons_te(id)) -> c4(SORTSU(te(id)))
   ENCODE_SORTSU(cons_te(subst(z0, z1))) -> c4(SORTSU(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(cons_sortSu(z0))) -> c4(SORTSU(te(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_te(cons_te(z0))) -> c4(SORTSU(te(te(encArg(z0)))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_TE_1, ENCODE_SORTSU_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c4_1, c7_2, c8_2


----------------------------------------

(113) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 5 trailing nodes:
   ENCODE_SORTSU(cons_te(cons(z0, z1))) -> c4(SORTSU(te(cons(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(id)) -> c4(SORTSU(te(id)))
   ENCODE_SORTSU(cons_te(circ(z0, z1))) -> c4(SORTSU(te(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(sop(z0))) -> c4(SORTSU(te(sop(encArg(z0)))))
   ENCODE_SORTSU(cons_te(lift)) -> c4(SORTSU(te(lift)))

----------------------------------------

(114)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1))))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(cons_sortSu(circ(z0, z1))) -> c4(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons_sortSu(z0))) -> c4(SORTSU(sortSu(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(cons_te(z0))) -> c4(SORTSU(sortSu(te(encArg(z0)))))
   ENCODE_SORTSU(cons_te(msubst(z0, z1))) -> c4(SORTSU(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(subst(z0, z1))) -> c4(SORTSU(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(cons_sortSu(z0))) -> c4(SORTSU(te(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_te(cons_te(z0))) -> c4(SORTSU(te(te(encArg(z0)))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_TE_1, ENCODE_SORTSU_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c4_1, c7_2, c8_2


----------------------------------------

(115) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_TE(msubst(z0, z1)) -> c4(TE(msubst(encArg(z0), encArg(z1)))) by 
   ENCODE_TE(msubst(x0, circ(z0, z1))) -> c4(TE(msubst(encArg(x0), circ(encArg(z0), encArg(z1)))))
   ENCODE_TE(msubst(x0, cons(z0, z1))) -> c4(TE(msubst(encArg(x0), cons(encArg(z0), encArg(z1)))))
   ENCODE_TE(msubst(x0, msubst(z0, z1))) -> c4(TE(msubst(encArg(x0), msubst(encArg(z0), encArg(z1)))))
   ENCODE_TE(msubst(x0, sop(z0))) -> c4(TE(msubst(encArg(x0), sop(encArg(z0)))))
   ENCODE_TE(msubst(x0, lift)) -> c4(TE(msubst(encArg(x0), lift)))
   ENCODE_TE(msubst(x0, id)) -> c4(TE(msubst(encArg(x0), id)))
   ENCODE_TE(msubst(x0, subst(z0, z1))) -> c4(TE(msubst(encArg(x0), subst(encArg(z0), encArg(z1)))))
   ENCODE_TE(msubst(x0, cons_sortSu(z0))) -> c4(TE(msubst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_te(z0))) -> c4(TE(msubst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(msubst(circ(z0, z1), x1)) -> c4(TE(msubst(circ(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(msubst(cons(z0, z1), x1)) -> c4(TE(msubst(cons(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(msubst(msubst(z0, z1), x1)) -> c4(TE(msubst(msubst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(msubst(sop(z0), x1)) -> c4(TE(msubst(sop(encArg(z0)), encArg(x1))))
   ENCODE_TE(msubst(lift, x1)) -> c4(TE(msubst(lift, encArg(x1))))
   ENCODE_TE(msubst(id, x1)) -> c4(TE(msubst(id, encArg(x1))))
   ENCODE_TE(msubst(subst(z0, z1), x1)) -> c4(TE(msubst(subst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(msubst(cons_sortSu(z0), x1)) -> c4(TE(msubst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(msubst(cons_te(z0), x1)) -> c4(TE(msubst(te(encArg(z0)), encArg(x1))))

----------------------------------------

(116)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(cons_sortSu(circ(z0, z1))) -> c4(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons_sortSu(z0))) -> c4(SORTSU(sortSu(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(cons_te(z0))) -> c4(SORTSU(sortSu(te(encArg(z0)))))
   ENCODE_SORTSU(cons_te(msubst(z0, z1))) -> c4(SORTSU(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(subst(z0, z1))) -> c4(SORTSU(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(cons_sortSu(z0))) -> c4(SORTSU(te(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_te(cons_te(z0))) -> c4(SORTSU(te(te(encArg(z0)))))
   ENCODE_TE(msubst(x0, circ(z0, z1))) -> c4(TE(msubst(encArg(x0), circ(encArg(z0), encArg(z1)))))
   ENCODE_TE(msubst(x0, cons(z0, z1))) -> c4(TE(msubst(encArg(x0), cons(encArg(z0), encArg(z1)))))
   ENCODE_TE(msubst(x0, msubst(z0, z1))) -> c4(TE(msubst(encArg(x0), msubst(encArg(z0), encArg(z1)))))
   ENCODE_TE(msubst(x0, sop(z0))) -> c4(TE(msubst(encArg(x0), sop(encArg(z0)))))
   ENCODE_TE(msubst(x0, lift)) -> c4(TE(msubst(encArg(x0), lift)))
   ENCODE_TE(msubst(x0, id)) -> c4(TE(msubst(encArg(x0), id)))
   ENCODE_TE(msubst(x0, subst(z0, z1))) -> c4(TE(msubst(encArg(x0), subst(encArg(z0), encArg(z1)))))
   ENCODE_TE(msubst(x0, cons_sortSu(z0))) -> c4(TE(msubst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_te(z0))) -> c4(TE(msubst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(msubst(circ(z0, z1), x1)) -> c4(TE(msubst(circ(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(msubst(cons(z0, z1), x1)) -> c4(TE(msubst(cons(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(msubst(msubst(z0, z1), x1)) -> c4(TE(msubst(msubst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(msubst(sop(z0), x1)) -> c4(TE(msubst(sop(encArg(z0)), encArg(x1))))
   ENCODE_TE(msubst(lift, x1)) -> c4(TE(msubst(lift, encArg(x1))))
   ENCODE_TE(msubst(id, x1)) -> c4(TE(msubst(id, encArg(x1))))
   ENCODE_TE(msubst(subst(z0, z1), x1)) -> c4(TE(msubst(subst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(msubst(cons_sortSu(z0), x1)) -> c4(TE(msubst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(msubst(cons_te(z0), x1)) -> c4(TE(msubst(te(encArg(z0)), encArg(x1))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_TE_1, ENCODE_SORTSU_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c4_1, c7_2, c8_2


----------------------------------------

(117) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 14 trailing nodes:
   ENCODE_TE(msubst(cons(z0, z1), x1)) -> c4(TE(msubst(cons(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(msubst(lift, x1)) -> c4(TE(msubst(lift, encArg(x1))))
   ENCODE_TE(msubst(id, x1)) -> c4(TE(msubst(id, encArg(x1))))
   ENCODE_TE(msubst(x0, subst(z0, z1))) -> c4(TE(msubst(encArg(x0), subst(encArg(z0), encArg(z1)))))
   ENCODE_TE(msubst(x0, msubst(z0, z1))) -> c4(TE(msubst(encArg(x0), msubst(encArg(z0), encArg(z1)))))
   ENCODE_TE(msubst(x0, lift)) -> c4(TE(msubst(encArg(x0), lift)))
   ENCODE_TE(msubst(x0, circ(z0, z1))) -> c4(TE(msubst(encArg(x0), circ(encArg(z0), encArg(z1)))))
   ENCODE_TE(msubst(msubst(z0, z1), x1)) -> c4(TE(msubst(msubst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(msubst(x0, cons(z0, z1))) -> c4(TE(msubst(encArg(x0), cons(encArg(z0), encArg(z1)))))
   ENCODE_TE(msubst(x0, id)) -> c4(TE(msubst(encArg(x0), id)))
   ENCODE_TE(msubst(subst(z0, z1), x1)) -> c4(TE(msubst(subst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(msubst(circ(z0, z1), x1)) -> c4(TE(msubst(circ(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(msubst(sop(z0), x1)) -> c4(TE(msubst(sop(encArg(z0)), encArg(x1))))
   ENCODE_TE(msubst(x0, sop(z0))) -> c4(TE(msubst(encArg(x0), sop(encArg(z0)))))

----------------------------------------

(118)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1))))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(cons_sortSu(circ(z0, z1))) -> c4(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons_sortSu(z0))) -> c4(SORTSU(sortSu(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(cons_te(z0))) -> c4(SORTSU(sortSu(te(encArg(z0)))))
   ENCODE_SORTSU(cons_te(msubst(z0, z1))) -> c4(SORTSU(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(subst(z0, z1))) -> c4(SORTSU(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(cons_sortSu(z0))) -> c4(SORTSU(te(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_te(cons_te(z0))) -> c4(SORTSU(te(te(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_sortSu(z0))) -> c4(TE(msubst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_te(z0))) -> c4(TE(msubst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(msubst(cons_sortSu(z0), x1)) -> c4(TE(msubst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(msubst(cons_te(z0), x1)) -> c4(TE(msubst(te(encArg(z0)), encArg(x1))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_TE_1, ENCODE_SORTSU_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c4_1, c7_2, c8_2


----------------------------------------

(119) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_TE(subst(z0, z1)) -> c4(TE(subst(encArg(z0), encArg(z1)))) by 
   ENCODE_TE(subst(x0, circ(z0, z1))) -> c4(TE(subst(encArg(x0), circ(encArg(z0), encArg(z1)))))
   ENCODE_TE(subst(x0, cons(z0, z1))) -> c4(TE(subst(encArg(x0), cons(encArg(z0), encArg(z1)))))
   ENCODE_TE(subst(x0, msubst(z0, z1))) -> c4(TE(subst(encArg(x0), msubst(encArg(z0), encArg(z1)))))
   ENCODE_TE(subst(x0, sop(z0))) -> c4(TE(subst(encArg(x0), sop(encArg(z0)))))
   ENCODE_TE(subst(x0, lift)) -> c4(TE(subst(encArg(x0), lift)))
   ENCODE_TE(subst(x0, id)) -> c4(TE(subst(encArg(x0), id)))
   ENCODE_TE(subst(x0, subst(z0, z1))) -> c4(TE(subst(encArg(x0), subst(encArg(z0), encArg(z1)))))
   ENCODE_TE(subst(x0, cons_sortSu(z0))) -> c4(TE(subst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(subst(x0, cons_te(z0))) -> c4(TE(subst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(subst(circ(z0, z1), x1)) -> c4(TE(subst(circ(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(subst(cons(z0, z1), x1)) -> c4(TE(subst(cons(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(subst(msubst(z0, z1), x1)) -> c4(TE(subst(msubst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(subst(sop(z0), x1)) -> c4(TE(subst(sop(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(lift, x1)) -> c4(TE(subst(lift, encArg(x1))))
   ENCODE_TE(subst(id, x1)) -> c4(TE(subst(id, encArg(x1))))
   ENCODE_TE(subst(subst(z0, z1), x1)) -> c4(TE(subst(subst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(subst(cons_sortSu(z0), x1)) -> c4(TE(subst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(cons_te(z0), x1)) -> c4(TE(subst(te(encArg(z0)), encArg(x1))))

----------------------------------------

(120)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(cons_sortSu(circ(z0, z1))) -> c4(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons_sortSu(z0))) -> c4(SORTSU(sortSu(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(cons_te(z0))) -> c4(SORTSU(sortSu(te(encArg(z0)))))
   ENCODE_SORTSU(cons_te(msubst(z0, z1))) -> c4(SORTSU(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(subst(z0, z1))) -> c4(SORTSU(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(cons_sortSu(z0))) -> c4(SORTSU(te(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_te(cons_te(z0))) -> c4(SORTSU(te(te(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_sortSu(z0))) -> c4(TE(msubst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_te(z0))) -> c4(TE(msubst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(msubst(cons_sortSu(z0), x1)) -> c4(TE(msubst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(msubst(cons_te(z0), x1)) -> c4(TE(msubst(te(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(x0, circ(z0, z1))) -> c4(TE(subst(encArg(x0), circ(encArg(z0), encArg(z1)))))
   ENCODE_TE(subst(x0, cons(z0, z1))) -> c4(TE(subst(encArg(x0), cons(encArg(z0), encArg(z1)))))
   ENCODE_TE(subst(x0, msubst(z0, z1))) -> c4(TE(subst(encArg(x0), msubst(encArg(z0), encArg(z1)))))
   ENCODE_TE(subst(x0, sop(z0))) -> c4(TE(subst(encArg(x0), sop(encArg(z0)))))
   ENCODE_TE(subst(x0, lift)) -> c4(TE(subst(encArg(x0), lift)))
   ENCODE_TE(subst(x0, id)) -> c4(TE(subst(encArg(x0), id)))
   ENCODE_TE(subst(x0, subst(z0, z1))) -> c4(TE(subst(encArg(x0), subst(encArg(z0), encArg(z1)))))
   ENCODE_TE(subst(x0, cons_sortSu(z0))) -> c4(TE(subst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(subst(x0, cons_te(z0))) -> c4(TE(subst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(subst(circ(z0, z1), x1)) -> c4(TE(subst(circ(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(subst(cons(z0, z1), x1)) -> c4(TE(subst(cons(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(subst(msubst(z0, z1), x1)) -> c4(TE(subst(msubst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(subst(sop(z0), x1)) -> c4(TE(subst(sop(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(lift, x1)) -> c4(TE(subst(lift, encArg(x1))))
   ENCODE_TE(subst(id, x1)) -> c4(TE(subst(id, encArg(x1))))
   ENCODE_TE(subst(subst(z0, z1), x1)) -> c4(TE(subst(subst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(subst(cons_sortSu(z0), x1)) -> c4(TE(subst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(cons_te(z0), x1)) -> c4(TE(subst(te(encArg(z0)), encArg(x1))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_TE_1, ENCODE_SORTSU_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c4_1, c7_2, c8_2


----------------------------------------

(121) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 14 trailing nodes:
   ENCODE_TE(subst(x0, cons(z0, z1))) -> c4(TE(subst(encArg(x0), cons(encArg(z0), encArg(z1)))))
   ENCODE_TE(subst(x0, id)) -> c4(TE(subst(encArg(x0), id)))
   ENCODE_TE(subst(lift, x1)) -> c4(TE(subst(lift, encArg(x1))))
   ENCODE_TE(subst(msubst(z0, z1), x1)) -> c4(TE(subst(msubst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(subst(cons(z0, z1), x1)) -> c4(TE(subst(cons(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(subst(x0, subst(z0, z1))) -> c4(TE(subst(encArg(x0), subst(encArg(z0), encArg(z1)))))
   ENCODE_TE(subst(x0, sop(z0))) -> c4(TE(subst(encArg(x0), sop(encArg(z0)))))
   ENCODE_TE(subst(x0, lift)) -> c4(TE(subst(encArg(x0), lift)))
   ENCODE_TE(subst(id, x1)) -> c4(TE(subst(id, encArg(x1))))
   ENCODE_TE(subst(subst(z0, z1), x1)) -> c4(TE(subst(subst(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(subst(x0, msubst(z0, z1))) -> c4(TE(subst(encArg(x0), msubst(encArg(z0), encArg(z1)))))
   ENCODE_TE(subst(circ(z0, z1), x1)) -> c4(TE(subst(circ(encArg(z0), encArg(z1)), encArg(x1))))
   ENCODE_TE(subst(sop(z0), x1)) -> c4(TE(subst(sop(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(x0, circ(z0, z1))) -> c4(TE(subst(encArg(x0), circ(encArg(z0), encArg(z1)))))

----------------------------------------

(122)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0))))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(cons_sortSu(circ(z0, z1))) -> c4(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons_sortSu(z0))) -> c4(SORTSU(sortSu(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(cons_te(z0))) -> c4(SORTSU(sortSu(te(encArg(z0)))))
   ENCODE_SORTSU(cons_te(msubst(z0, z1))) -> c4(SORTSU(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(subst(z0, z1))) -> c4(SORTSU(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(cons_sortSu(z0))) -> c4(SORTSU(te(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_te(cons_te(z0))) -> c4(SORTSU(te(te(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_sortSu(z0))) -> c4(TE(msubst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_te(z0))) -> c4(TE(msubst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(msubst(cons_sortSu(z0), x1)) -> c4(TE(msubst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(msubst(cons_te(z0), x1)) -> c4(TE(msubst(te(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(x0, cons_sortSu(z0))) -> c4(TE(subst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(subst(x0, cons_te(z0))) -> c4(TE(subst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(subst(cons_sortSu(z0), x1)) -> c4(TE(subst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(cons_te(z0), x1)) -> c4(TE(subst(te(encArg(z0)), encArg(x1))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_TE_1, ENCODE_SORTSU_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c4_1, c7_2, c8_2


----------------------------------------

(123) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_TE(cons_sortSu(z0)) -> c4(TE(sortSu(encArg(z0)))) by 
   ENCODE_TE(cons_sortSu(circ(z0, z1))) -> c4(TE(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_sortSu(cons(z0, z1))) -> c4(TE(sortSu(cons(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_sortSu(msubst(z0, z1))) -> c4(TE(sortSu(msubst(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_sortSu(sop(z0))) -> c4(TE(sortSu(sop(encArg(z0)))))
   ENCODE_TE(cons_sortSu(lift)) -> c4(TE(sortSu(lift)))
   ENCODE_TE(cons_sortSu(id)) -> c4(TE(sortSu(id)))
   ENCODE_TE(cons_sortSu(subst(z0, z1))) -> c4(TE(sortSu(subst(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_sortSu(cons_sortSu(z0))) -> c4(TE(sortSu(sortSu(encArg(z0)))))
   ENCODE_TE(cons_sortSu(cons_te(z0))) -> c4(TE(sortSu(te(encArg(z0)))))

----------------------------------------

(124)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(cons_sortSu(circ(z0, z1))) -> c4(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons_sortSu(z0))) -> c4(SORTSU(sortSu(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(cons_te(z0))) -> c4(SORTSU(sortSu(te(encArg(z0)))))
   ENCODE_SORTSU(cons_te(msubst(z0, z1))) -> c4(SORTSU(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(subst(z0, z1))) -> c4(SORTSU(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(cons_sortSu(z0))) -> c4(SORTSU(te(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_te(cons_te(z0))) -> c4(SORTSU(te(te(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_sortSu(z0))) -> c4(TE(msubst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_te(z0))) -> c4(TE(msubst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(msubst(cons_sortSu(z0), x1)) -> c4(TE(msubst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(msubst(cons_te(z0), x1)) -> c4(TE(msubst(te(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(x0, cons_sortSu(z0))) -> c4(TE(subst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(subst(x0, cons_te(z0))) -> c4(TE(subst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(subst(cons_sortSu(z0), x1)) -> c4(TE(subst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(cons_te(z0), x1)) -> c4(TE(subst(te(encArg(z0)), encArg(x1))))
   ENCODE_TE(cons_sortSu(circ(z0, z1))) -> c4(TE(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_sortSu(cons(z0, z1))) -> c4(TE(sortSu(cons(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_sortSu(msubst(z0, z1))) -> c4(TE(sortSu(msubst(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_sortSu(sop(z0))) -> c4(TE(sortSu(sop(encArg(z0)))))
   ENCODE_TE(cons_sortSu(lift)) -> c4(TE(sortSu(lift)))
   ENCODE_TE(cons_sortSu(id)) -> c4(TE(sortSu(id)))
   ENCODE_TE(cons_sortSu(subst(z0, z1))) -> c4(TE(sortSu(subst(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_sortSu(cons_sortSu(z0))) -> c4(TE(sortSu(sortSu(encArg(z0)))))
   ENCODE_TE(cons_sortSu(cons_te(z0))) -> c4(TE(sortSu(te(encArg(z0)))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_TE_1, ENCODE_SORTSU_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c4_1, c7_2, c8_2


----------------------------------------

(125) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 6 trailing nodes:
   ENCODE_TE(cons_sortSu(lift)) -> c4(TE(sortSu(lift)))
   ENCODE_TE(cons_sortSu(subst(z0, z1))) -> c4(TE(sortSu(subst(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_sortSu(msubst(z0, z1))) -> c4(TE(sortSu(msubst(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_sortSu(id)) -> c4(TE(sortSu(id)))
   ENCODE_TE(cons_sortSu(cons(z0, z1))) -> c4(TE(sortSu(cons(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_sortSu(sop(z0))) -> c4(TE(sortSu(sop(encArg(z0)))))

----------------------------------------

(126)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(cons_sortSu(circ(z0, z1))) -> c4(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons_sortSu(z0))) -> c4(SORTSU(sortSu(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(cons_te(z0))) -> c4(SORTSU(sortSu(te(encArg(z0)))))
   ENCODE_SORTSU(cons_te(msubst(z0, z1))) -> c4(SORTSU(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(subst(z0, z1))) -> c4(SORTSU(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(cons_sortSu(z0))) -> c4(SORTSU(te(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_te(cons_te(z0))) -> c4(SORTSU(te(te(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_sortSu(z0))) -> c4(TE(msubst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_te(z0))) -> c4(TE(msubst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(msubst(cons_sortSu(z0), x1)) -> c4(TE(msubst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(msubst(cons_te(z0), x1)) -> c4(TE(msubst(te(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(x0, cons_sortSu(z0))) -> c4(TE(subst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(subst(x0, cons_te(z0))) -> c4(TE(subst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(subst(cons_sortSu(z0), x1)) -> c4(TE(subst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(cons_te(z0), x1)) -> c4(TE(subst(te(encArg(z0)), encArg(x1))))
   ENCODE_TE(cons_sortSu(circ(z0, z1))) -> c4(TE(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_sortSu(cons_sortSu(z0))) -> c4(TE(sortSu(sortSu(encArg(z0)))))
   ENCODE_TE(cons_sortSu(cons_te(z0))) -> c4(TE(sortSu(te(encArg(z0)))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_TE_1, ENCODE_SORTSU_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c4_1, c7_2, c8_2


----------------------------------------

(127) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_TE(cons_te(z0)) -> c4(TE(te(encArg(z0)))) by 
   ENCODE_TE(cons_te(circ(z0, z1))) -> c4(TE(te(circ(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_te(cons(z0, z1))) -> c4(TE(te(cons(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_te(msubst(z0, z1))) -> c4(TE(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_te(sop(z0))) -> c4(TE(te(sop(encArg(z0)))))
   ENCODE_TE(cons_te(lift)) -> c4(TE(te(lift)))
   ENCODE_TE(cons_te(id)) -> c4(TE(te(id)))
   ENCODE_TE(cons_te(subst(z0, z1))) -> c4(TE(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_te(cons_sortSu(z0))) -> c4(TE(te(sortSu(encArg(z0)))))
   ENCODE_TE(cons_te(cons_te(z0))) -> c4(TE(te(te(encArg(z0)))))

----------------------------------------

(128)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(cons_sortSu(circ(z0, z1))) -> c4(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons_sortSu(z0))) -> c4(SORTSU(sortSu(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(cons_te(z0))) -> c4(SORTSU(sortSu(te(encArg(z0)))))
   ENCODE_SORTSU(cons_te(msubst(z0, z1))) -> c4(SORTSU(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(subst(z0, z1))) -> c4(SORTSU(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(cons_sortSu(z0))) -> c4(SORTSU(te(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_te(cons_te(z0))) -> c4(SORTSU(te(te(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_sortSu(z0))) -> c4(TE(msubst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_te(z0))) -> c4(TE(msubst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(msubst(cons_sortSu(z0), x1)) -> c4(TE(msubst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(msubst(cons_te(z0), x1)) -> c4(TE(msubst(te(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(x0, cons_sortSu(z0))) -> c4(TE(subst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(subst(x0, cons_te(z0))) -> c4(TE(subst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(subst(cons_sortSu(z0), x1)) -> c4(TE(subst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(cons_te(z0), x1)) -> c4(TE(subst(te(encArg(z0)), encArg(x1))))
   ENCODE_TE(cons_sortSu(circ(z0, z1))) -> c4(TE(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_sortSu(cons_sortSu(z0))) -> c4(TE(sortSu(sortSu(encArg(z0)))))
   ENCODE_TE(cons_sortSu(cons_te(z0))) -> c4(TE(sortSu(te(encArg(z0)))))
   ENCODE_TE(cons_te(circ(z0, z1))) -> c4(TE(te(circ(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_te(cons(z0, z1))) -> c4(TE(te(cons(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_te(msubst(z0, z1))) -> c4(TE(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_te(sop(z0))) -> c4(TE(te(sop(encArg(z0)))))
   ENCODE_TE(cons_te(lift)) -> c4(TE(te(lift)))
   ENCODE_TE(cons_te(id)) -> c4(TE(te(id)))
   ENCODE_TE(cons_te(subst(z0, z1))) -> c4(TE(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_te(cons_sortSu(z0))) -> c4(TE(te(sortSu(encArg(z0)))))
   ENCODE_TE(cons_te(cons_te(z0))) -> c4(TE(te(te(encArg(z0)))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c7_2, c8_2, c4_1


----------------------------------------

(129) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 5 trailing nodes:
   ENCODE_TE(cons_te(id)) -> c4(TE(te(id)))
   ENCODE_TE(cons_te(circ(z0, z1))) -> c4(TE(te(circ(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_te(lift)) -> c4(TE(te(lift)))
   ENCODE_TE(cons_te(sop(z0))) -> c4(TE(te(sop(encArg(z0)))))
   ENCODE_TE(cons_te(cons(z0, z1))) -> c4(TE(te(cons(encArg(z0), encArg(z1)))))

----------------------------------------

(130)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1))
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(cons_sortSu(circ(z0, z1))) -> c4(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons_sortSu(z0))) -> c4(SORTSU(sortSu(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(cons_te(z0))) -> c4(SORTSU(sortSu(te(encArg(z0)))))
   ENCODE_SORTSU(cons_te(msubst(z0, z1))) -> c4(SORTSU(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(subst(z0, z1))) -> c4(SORTSU(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(cons_sortSu(z0))) -> c4(SORTSU(te(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_te(cons_te(z0))) -> c4(SORTSU(te(te(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_sortSu(z0))) -> c4(TE(msubst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_te(z0))) -> c4(TE(msubst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(msubst(cons_sortSu(z0), x1)) -> c4(TE(msubst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(msubst(cons_te(z0), x1)) -> c4(TE(msubst(te(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(x0, cons_sortSu(z0))) -> c4(TE(subst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(subst(x0, cons_te(z0))) -> c4(TE(subst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(subst(cons_sortSu(z0), x1)) -> c4(TE(subst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(cons_te(z0), x1)) -> c4(TE(subst(te(encArg(z0)), encArg(x1))))
   ENCODE_TE(cons_sortSu(circ(z0, z1))) -> c4(TE(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_sortSu(cons_sortSu(z0))) -> c4(TE(sortSu(sortSu(encArg(z0)))))
   ENCODE_TE(cons_sortSu(cons_te(z0))) -> c4(TE(sortSu(te(encArg(z0)))))
   ENCODE_TE(cons_te(msubst(z0, z1))) -> c4(TE(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_te(subst(z0, z1))) -> c4(TE(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_te(cons_sortSu(z0))) -> c4(TE(te(sortSu(encArg(z0)))))
   ENCODE_TE(cons_te(cons_te(z0))) -> c4(TE(te(te(encArg(z0)))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c_2, c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c7_2, c8_2, c4_1


----------------------------------------

(131) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace ENCARG(circ(z0, z1)) -> c(ENCARG(z0), ENCARG(z1)) by 
   ENCARG(circ(circ(y0, y1), z1)) -> c(ENCARG(circ(y0, y1)), ENCARG(z1))
   ENCARG(circ(z0, circ(y0, y1))) -> c(ENCARG(z0), ENCARG(circ(y0, y1)))
   ENCARG(circ(cons(y0, y1), z1)) -> c(ENCARG(cons(y0, y1)), ENCARG(z1))
   ENCARG(circ(z0, cons(y0, y1))) -> c(ENCARG(z0), ENCARG(cons(y0, y1)))
   ENCARG(circ(msubst(y0, y1), z1)) -> c(ENCARG(msubst(y0, y1)), ENCARG(z1))
   ENCARG(circ(z0, msubst(y0, y1))) -> c(ENCARG(z0), ENCARG(msubst(y0, y1)))
   ENCARG(circ(sop(y0), z1)) -> c(ENCARG(sop(y0)), ENCARG(z1))
   ENCARG(circ(z0, sop(y0))) -> c(ENCARG(z0), ENCARG(sop(y0)))
   ENCARG(circ(subst(y0, y1), z1)) -> c(ENCARG(subst(y0, y1)), ENCARG(z1))
   ENCARG(circ(z0, subst(y0, y1))) -> c(ENCARG(z0), ENCARG(subst(y0, y1)))
   ENCARG(circ(cons_sortSu(cons(y0, y1)), z1)) -> c(ENCARG(cons_sortSu(cons(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons(y0, y1))))
   ENCARG(circ(cons_sortSu(msubst(y0, y1)), z1)) -> c(ENCARG(cons_sortSu(msubst(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(msubst(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(msubst(y0, y1))))
   ENCARG(circ(cons_sortSu(sop(y0)), z1)) -> c(ENCARG(cons_sortSu(sop(y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(sop(y0)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(sop(y0))))
   ENCARG(circ(cons_sortSu(subst(y0, y1)), z1)) -> c(ENCARG(cons_sortSu(subst(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(subst(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(subst(y0, y1))))
   ENCARG(circ(cons_te(circ(y0, y1)), z1)) -> c(ENCARG(cons_te(circ(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(circ(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_te(circ(y0, y1))))
   ENCARG(circ(cons_te(cons(y0, y1)), z1)) -> c(ENCARG(cons_te(cons(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_te(cons(y0, y1))))
   ENCARG(circ(cons_te(sop(y0)), z1)) -> c(ENCARG(cons_te(sop(y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(sop(y0)))) -> c(ENCARG(z0), ENCARG(cons_te(sop(y0))))
   ENCARG(circ(cons_sortSu(circ(y0, cons_sortSu(y1))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, cons_sortSu(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, cons_sortSu(y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, cons_sortSu(y1)))))
   ENCARG(circ(cons_sortSu(circ(y0, cons_te(y1))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, cons_te(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, cons_te(y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, cons_te(y1)))))
   ENCARG(circ(cons_sortSu(circ(cons_sortSu(y0), y1)), z1)) -> c(ENCARG(cons_sortSu(circ(cons_sortSu(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(cons_sortSu(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(cons_sortSu(y0), y1))))
   ENCARG(circ(cons_sortSu(circ(cons_te(y0), y1)), z1)) -> c(ENCARG(cons_sortSu(circ(cons_te(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(cons_te(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(cons_te(y0), y1))))
   ENCARG(circ(cons_sortSu(circ(y0, y1)), z1)) -> c(ENCARG(cons_sortSu(circ(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, y1))))
   ENCARG(circ(cons_sortSu(circ(y0, circ(y1, y2))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, circ(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, circ(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, circ(y1, y2)))))
   ENCARG(circ(cons_sortSu(circ(y0, cons(y1, y2))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, cons(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, cons(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, cons(y1, y2)))))
   ENCARG(circ(cons_sortSu(circ(y0, msubst(y1, y2))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, msubst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, msubst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, msubst(y1, y2)))))
   ENCARG(circ(cons_sortSu(circ(y0, sop(y1))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, sop(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, sop(y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, sop(y1)))))
   ENCARG(circ(cons_sortSu(circ(y0, lift)), z1)) -> c(ENCARG(cons_sortSu(circ(y0, lift))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, lift)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, lift))))
   ENCARG(circ(cons_sortSu(circ(y0, id)), z1)) -> c(ENCARG(cons_sortSu(circ(y0, id))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, id)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, id))))
   ENCARG(circ(cons_sortSu(circ(y0, subst(y1, y2))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, subst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, subst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, subst(y1, y2)))))
   ENCARG(circ(cons_sortSu(circ(circ(y0, y1), y2)), z1)) -> c(ENCARG(cons_sortSu(circ(circ(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(circ(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(circ(y0, y1), y2))))
   ENCARG(circ(cons_sortSu(circ(cons(y0, y1), y2)), z1)) -> c(ENCARG(cons_sortSu(circ(cons(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(cons(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(cons(y0, y1), y2))))
   ENCARG(circ(cons_sortSu(circ(msubst(y0, y1), y2)), z1)) -> c(ENCARG(cons_sortSu(circ(msubst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(msubst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(msubst(y0, y1), y2))))
   ENCARG(circ(cons_sortSu(circ(sop(y0), y1)), z1)) -> c(ENCARG(cons_sortSu(circ(sop(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(sop(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(sop(y0), y1))))
   ENCARG(circ(cons_sortSu(circ(lift, y0)), z1)) -> c(ENCARG(cons_sortSu(circ(lift, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(lift, y0)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(lift, y0))))
   ENCARG(circ(cons_sortSu(circ(id, y0)), z1)) -> c(ENCARG(cons_sortSu(circ(id, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(id, y0)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(id, y0))))
   ENCARG(circ(cons_sortSu(circ(subst(y0, y1), y2)), z1)) -> c(ENCARG(cons_sortSu(circ(subst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(subst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(subst(y0, y1), y2))))
   ENCARG(circ(cons_sortSu(cons_sortSu(circ(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(circ(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(circ(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(circ(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(cons_sortSu(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(cons_sortSu(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(y0)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(cons_te(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(cons_te(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(cons_te(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(cons_te(y0)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(cons(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(cons(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(cons(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(cons(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(msubst(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(msubst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(msubst(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(sop(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(sop(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(sop(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(sop(y0)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(subst(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(subst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(subst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(subst(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_te(msubst(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_te(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(msubst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(msubst(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_te(subst(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_te(subst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(subst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(subst(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_te(cons_sortSu(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_te(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(cons_sortSu(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(cons_sortSu(y0)))))
   ENCARG(circ(cons_sortSu(cons_te(cons_te(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_te(cons_te(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(cons_te(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(cons_te(y0)))))
   ENCARG(circ(cons_sortSu(cons_te(circ(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_te(circ(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(circ(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(circ(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_te(cons(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_te(cons(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(cons(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(cons(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_te(sop(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_te(sop(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(sop(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(sop(y0)))))
   ENCARG(circ(cons_te(msubst(y0, cons_sortSu(y1))), z1)) -> c(ENCARG(cons_te(msubst(y0, cons_sortSu(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, cons_sortSu(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, cons_sortSu(y1)))))
   ENCARG(circ(cons_te(msubst(y0, cons_te(y1))), z1)) -> c(ENCARG(cons_te(msubst(y0, cons_te(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, cons_te(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, cons_te(y1)))))
   ENCARG(circ(cons_te(msubst(cons_sortSu(y0), y1)), z1)) -> c(ENCARG(cons_te(msubst(cons_sortSu(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(cons_sortSu(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(cons_sortSu(y0), y1))))
   ENCARG(circ(cons_te(msubst(cons_te(y0), y1)), z1)) -> c(ENCARG(cons_te(msubst(cons_te(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(cons_te(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(cons_te(y0), y1))))
   ENCARG(circ(cons_te(msubst(y0, y1)), z1)) -> c(ENCARG(cons_te(msubst(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, y1))))
   ENCARG(circ(cons_te(msubst(y0, circ(y1, y2))), z1)) -> c(ENCARG(cons_te(msubst(y0, circ(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, circ(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, circ(y1, y2)))))
   ENCARG(circ(cons_te(msubst(y0, cons(y1, y2))), z1)) -> c(ENCARG(cons_te(msubst(y0, cons(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, cons(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, cons(y1, y2)))))
   ENCARG(circ(cons_te(msubst(y0, msubst(y1, y2))), z1)) -> c(ENCARG(cons_te(msubst(y0, msubst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, msubst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, msubst(y1, y2)))))
   ENCARG(circ(cons_te(msubst(y0, sop(y1))), z1)) -> c(ENCARG(cons_te(msubst(y0, sop(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, sop(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, sop(y1)))))
   ENCARG(circ(cons_te(msubst(y0, lift)), z1)) -> c(ENCARG(cons_te(msubst(y0, lift))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, lift)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, lift))))
   ENCARG(circ(cons_te(msubst(y0, id)), z1)) -> c(ENCARG(cons_te(msubst(y0, id))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, id)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, id))))
   ENCARG(circ(cons_te(msubst(y0, subst(y1, y2))), z1)) -> c(ENCARG(cons_te(msubst(y0, subst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, subst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, subst(y1, y2)))))
   ENCARG(circ(cons_te(msubst(circ(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(msubst(circ(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(circ(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(circ(y0, y1), y2))))
   ENCARG(circ(cons_te(msubst(cons(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(msubst(cons(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(cons(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(cons(y0, y1), y2))))
   ENCARG(circ(cons_te(msubst(msubst(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(msubst(msubst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(msubst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(msubst(y0, y1), y2))))
   ENCARG(circ(cons_te(msubst(sop(y0), y1)), z1)) -> c(ENCARG(cons_te(msubst(sop(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(sop(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(sop(y0), y1))))
   ENCARG(circ(cons_te(msubst(lift, y0)), z1)) -> c(ENCARG(cons_te(msubst(lift, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(lift, y0)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(lift, y0))))
   ENCARG(circ(cons_te(msubst(id, y0)), z1)) -> c(ENCARG(cons_te(msubst(id, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(id, y0)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(id, y0))))
   ENCARG(circ(cons_te(msubst(subst(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(msubst(subst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(subst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(subst(y0, y1), y2))))
   ENCARG(circ(cons_te(subst(y0, cons_sortSu(y1))), z1)) -> c(ENCARG(cons_te(subst(y0, cons_sortSu(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, cons_sortSu(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, cons_sortSu(y1)))))
   ENCARG(circ(cons_te(subst(y0, cons_te(y1))), z1)) -> c(ENCARG(cons_te(subst(y0, cons_te(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, cons_te(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, cons_te(y1)))))
   ENCARG(circ(cons_te(subst(cons_sortSu(y0), y1)), z1)) -> c(ENCARG(cons_te(subst(cons_sortSu(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(cons_sortSu(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(cons_sortSu(y0), y1))))
   ENCARG(circ(cons_te(subst(cons_te(y0), y1)), z1)) -> c(ENCARG(cons_te(subst(cons_te(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(cons_te(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(cons_te(y0), y1))))
   ENCARG(circ(cons_te(subst(y0, y1)), z1)) -> c(ENCARG(cons_te(subst(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, y1))))
   ENCARG(circ(cons_te(subst(y0, circ(y1, y2))), z1)) -> c(ENCARG(cons_te(subst(y0, circ(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, circ(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, circ(y1, y2)))))
   ENCARG(circ(cons_te(subst(y0, cons(y1, y2))), z1)) -> c(ENCARG(cons_te(subst(y0, cons(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, cons(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, cons(y1, y2)))))
   ENCARG(circ(cons_te(subst(y0, msubst(y1, y2))), z1)) -> c(ENCARG(cons_te(subst(y0, msubst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, msubst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, msubst(y1, y2)))))
   ENCARG(circ(cons_te(subst(y0, sop(y1))), z1)) -> c(ENCARG(cons_te(subst(y0, sop(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, sop(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, sop(y1)))))
   ENCARG(circ(cons_te(subst(y0, lift)), z1)) -> c(ENCARG(cons_te(subst(y0, lift))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, lift)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, lift))))
   ENCARG(circ(cons_te(subst(y0, id)), z1)) -> c(ENCARG(cons_te(subst(y0, id))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, id)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, id))))
   ENCARG(circ(cons_te(subst(y0, subst(y1, y2))), z1)) -> c(ENCARG(cons_te(subst(y0, subst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, subst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, subst(y1, y2)))))
   ENCARG(circ(cons_te(subst(circ(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(subst(circ(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(circ(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(circ(y0, y1), y2))))
   ENCARG(circ(cons_te(subst(cons(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(subst(cons(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(cons(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(cons(y0, y1), y2))))
   ENCARG(circ(cons_te(subst(msubst(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(subst(msubst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(msubst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(msubst(y0, y1), y2))))
   ENCARG(circ(cons_te(subst(sop(y0), y1)), z1)) -> c(ENCARG(cons_te(subst(sop(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(sop(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(sop(y0), y1))))
   ENCARG(circ(cons_te(subst(lift, y0)), z1)) -> c(ENCARG(cons_te(subst(lift, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(lift, y0)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(lift, y0))))
   ENCARG(circ(cons_te(subst(id, y0)), z1)) -> c(ENCARG(cons_te(subst(id, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(id, y0)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(id, y0))))
   ENCARG(circ(cons_te(subst(subst(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(subst(subst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(subst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(subst(y0, y1), y2))))
   ENCARG(circ(cons_te(cons_sortSu(circ(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_sortSu(circ(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(circ(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(circ(y0, y1)))))
   ENCARG(circ(cons_te(cons_sortSu(cons_sortSu(y0))), z1)) -> c(ENCARG(cons_te(cons_sortSu(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(cons_sortSu(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(cons_sortSu(y0)))))
   ENCARG(circ(cons_te(cons_sortSu(cons_te(y0))), z1)) -> c(ENCARG(cons_te(cons_sortSu(cons_te(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(cons_te(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(cons_te(y0)))))
   ENCARG(circ(cons_te(cons_sortSu(cons(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_sortSu(cons(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(cons(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(cons(y0, y1)))))
   ENCARG(circ(cons_te(cons_sortSu(msubst(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_sortSu(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(msubst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(msubst(y0, y1)))))
   ENCARG(circ(cons_te(cons_sortSu(sop(y0))), z1)) -> c(ENCARG(cons_te(cons_sortSu(sop(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(sop(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(sop(y0)))))
   ENCARG(circ(cons_te(cons_sortSu(subst(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_sortSu(subst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(subst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(subst(y0, y1)))))
   ENCARG(circ(cons_te(cons_te(msubst(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_te(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(msubst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(msubst(y0, y1)))))
   ENCARG(circ(cons_te(cons_te(subst(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_te(subst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(subst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(subst(y0, y1)))))
   ENCARG(circ(cons_te(cons_te(cons_sortSu(y0))), z1)) -> c(ENCARG(cons_te(cons_te(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(cons_sortSu(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(cons_sortSu(y0)))))
   ENCARG(circ(cons_te(cons_te(cons_te(y0))), z1)) -> c(ENCARG(cons_te(cons_te(cons_te(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(cons_te(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(cons_te(y0)))))
   ENCARG(circ(cons_te(cons_te(circ(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_te(circ(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(circ(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(circ(y0, y1)))))
   ENCARG(circ(cons_te(cons_te(cons(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_te(cons(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(cons(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(cons(y0, y1)))))
   ENCARG(circ(cons_te(cons_te(sop(y0))), z1)) -> c(ENCARG(cons_te(cons_te(sop(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(sop(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(sop(y0)))))

----------------------------------------

(132)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(cons_sortSu(circ(z0, z1))) -> c4(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons_sortSu(z0))) -> c4(SORTSU(sortSu(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(cons_te(z0))) -> c4(SORTSU(sortSu(te(encArg(z0)))))
   ENCODE_SORTSU(cons_te(msubst(z0, z1))) -> c4(SORTSU(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(subst(z0, z1))) -> c4(SORTSU(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(cons_sortSu(z0))) -> c4(SORTSU(te(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_te(cons_te(z0))) -> c4(SORTSU(te(te(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_sortSu(z0))) -> c4(TE(msubst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_te(z0))) -> c4(TE(msubst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(msubst(cons_sortSu(z0), x1)) -> c4(TE(msubst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(msubst(cons_te(z0), x1)) -> c4(TE(msubst(te(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(x0, cons_sortSu(z0))) -> c4(TE(subst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(subst(x0, cons_te(z0))) -> c4(TE(subst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(subst(cons_sortSu(z0), x1)) -> c4(TE(subst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(cons_te(z0), x1)) -> c4(TE(subst(te(encArg(z0)), encArg(x1))))
   ENCODE_TE(cons_sortSu(circ(z0, z1))) -> c4(TE(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_sortSu(cons_sortSu(z0))) -> c4(TE(sortSu(sortSu(encArg(z0)))))
   ENCODE_TE(cons_sortSu(cons_te(z0))) -> c4(TE(sortSu(te(encArg(z0)))))
   ENCODE_TE(cons_te(msubst(z0, z1))) -> c4(TE(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_te(subst(z0, z1))) -> c4(TE(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_te(cons_sortSu(z0))) -> c4(TE(te(sortSu(encArg(z0)))))
   ENCODE_TE(cons_te(cons_te(z0))) -> c4(TE(te(te(encArg(z0)))))
   ENCARG(circ(circ(y0, y1), z1)) -> c(ENCARG(circ(y0, y1)), ENCARG(z1))
   ENCARG(circ(z0, circ(y0, y1))) -> c(ENCARG(z0), ENCARG(circ(y0, y1)))
   ENCARG(circ(cons(y0, y1), z1)) -> c(ENCARG(cons(y0, y1)), ENCARG(z1))
   ENCARG(circ(z0, cons(y0, y1))) -> c(ENCARG(z0), ENCARG(cons(y0, y1)))
   ENCARG(circ(msubst(y0, y1), z1)) -> c(ENCARG(msubst(y0, y1)), ENCARG(z1))
   ENCARG(circ(z0, msubst(y0, y1))) -> c(ENCARG(z0), ENCARG(msubst(y0, y1)))
   ENCARG(circ(sop(y0), z1)) -> c(ENCARG(sop(y0)), ENCARG(z1))
   ENCARG(circ(z0, sop(y0))) -> c(ENCARG(z0), ENCARG(sop(y0)))
   ENCARG(circ(subst(y0, y1), z1)) -> c(ENCARG(subst(y0, y1)), ENCARG(z1))
   ENCARG(circ(z0, subst(y0, y1))) -> c(ENCARG(z0), ENCARG(subst(y0, y1)))
   ENCARG(circ(cons_sortSu(cons(y0, y1)), z1)) -> c(ENCARG(cons_sortSu(cons(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons(y0, y1))))
   ENCARG(circ(cons_sortSu(msubst(y0, y1)), z1)) -> c(ENCARG(cons_sortSu(msubst(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(msubst(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(msubst(y0, y1))))
   ENCARG(circ(cons_sortSu(sop(y0)), z1)) -> c(ENCARG(cons_sortSu(sop(y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(sop(y0)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(sop(y0))))
   ENCARG(circ(cons_sortSu(subst(y0, y1)), z1)) -> c(ENCARG(cons_sortSu(subst(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(subst(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(subst(y0, y1))))
   ENCARG(circ(cons_te(circ(y0, y1)), z1)) -> c(ENCARG(cons_te(circ(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(circ(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_te(circ(y0, y1))))
   ENCARG(circ(cons_te(cons(y0, y1)), z1)) -> c(ENCARG(cons_te(cons(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_te(cons(y0, y1))))
   ENCARG(circ(cons_te(sop(y0)), z1)) -> c(ENCARG(cons_te(sop(y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(sop(y0)))) -> c(ENCARG(z0), ENCARG(cons_te(sop(y0))))
   ENCARG(circ(cons_sortSu(circ(y0, cons_sortSu(y1))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, cons_sortSu(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, cons_sortSu(y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, cons_sortSu(y1)))))
   ENCARG(circ(cons_sortSu(circ(y0, cons_te(y1))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, cons_te(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, cons_te(y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, cons_te(y1)))))
   ENCARG(circ(cons_sortSu(circ(cons_sortSu(y0), y1)), z1)) -> c(ENCARG(cons_sortSu(circ(cons_sortSu(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(cons_sortSu(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(cons_sortSu(y0), y1))))
   ENCARG(circ(cons_sortSu(circ(cons_te(y0), y1)), z1)) -> c(ENCARG(cons_sortSu(circ(cons_te(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(cons_te(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(cons_te(y0), y1))))
   ENCARG(circ(cons_sortSu(circ(y0, y1)), z1)) -> c(ENCARG(cons_sortSu(circ(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, y1))))
   ENCARG(circ(cons_sortSu(circ(y0, circ(y1, y2))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, circ(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, circ(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, circ(y1, y2)))))
   ENCARG(circ(cons_sortSu(circ(y0, cons(y1, y2))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, cons(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, cons(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, cons(y1, y2)))))
   ENCARG(circ(cons_sortSu(circ(y0, msubst(y1, y2))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, msubst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, msubst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, msubst(y1, y2)))))
   ENCARG(circ(cons_sortSu(circ(y0, sop(y1))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, sop(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, sop(y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, sop(y1)))))
   ENCARG(circ(cons_sortSu(circ(y0, lift)), z1)) -> c(ENCARG(cons_sortSu(circ(y0, lift))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, lift)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, lift))))
   ENCARG(circ(cons_sortSu(circ(y0, id)), z1)) -> c(ENCARG(cons_sortSu(circ(y0, id))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, id)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, id))))
   ENCARG(circ(cons_sortSu(circ(y0, subst(y1, y2))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, subst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, subst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, subst(y1, y2)))))
   ENCARG(circ(cons_sortSu(circ(circ(y0, y1), y2)), z1)) -> c(ENCARG(cons_sortSu(circ(circ(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(circ(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(circ(y0, y1), y2))))
   ENCARG(circ(cons_sortSu(circ(cons(y0, y1), y2)), z1)) -> c(ENCARG(cons_sortSu(circ(cons(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(cons(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(cons(y0, y1), y2))))
   ENCARG(circ(cons_sortSu(circ(msubst(y0, y1), y2)), z1)) -> c(ENCARG(cons_sortSu(circ(msubst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(msubst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(msubst(y0, y1), y2))))
   ENCARG(circ(cons_sortSu(circ(sop(y0), y1)), z1)) -> c(ENCARG(cons_sortSu(circ(sop(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(sop(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(sop(y0), y1))))
   ENCARG(circ(cons_sortSu(circ(lift, y0)), z1)) -> c(ENCARG(cons_sortSu(circ(lift, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(lift, y0)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(lift, y0))))
   ENCARG(circ(cons_sortSu(circ(id, y0)), z1)) -> c(ENCARG(cons_sortSu(circ(id, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(id, y0)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(id, y0))))
   ENCARG(circ(cons_sortSu(circ(subst(y0, y1), y2)), z1)) -> c(ENCARG(cons_sortSu(circ(subst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(subst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(subst(y0, y1), y2))))
   ENCARG(circ(cons_sortSu(cons_sortSu(circ(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(circ(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(circ(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(circ(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(cons_sortSu(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(cons_sortSu(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(y0)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(cons_te(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(cons_te(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(cons_te(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(cons_te(y0)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(cons(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(cons(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(cons(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(cons(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(msubst(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(msubst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(msubst(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(sop(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(sop(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(sop(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(sop(y0)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(subst(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(subst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(subst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(subst(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_te(msubst(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_te(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(msubst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(msubst(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_te(subst(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_te(subst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(subst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(subst(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_te(cons_sortSu(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_te(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(cons_sortSu(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(cons_sortSu(y0)))))
   ENCARG(circ(cons_sortSu(cons_te(cons_te(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_te(cons_te(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(cons_te(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(cons_te(y0)))))
   ENCARG(circ(cons_sortSu(cons_te(circ(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_te(circ(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(circ(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(circ(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_te(cons(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_te(cons(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(cons(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(cons(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_te(sop(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_te(sop(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(sop(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(sop(y0)))))
   ENCARG(circ(cons_te(msubst(y0, cons_sortSu(y1))), z1)) -> c(ENCARG(cons_te(msubst(y0, cons_sortSu(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, cons_sortSu(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, cons_sortSu(y1)))))
   ENCARG(circ(cons_te(msubst(y0, cons_te(y1))), z1)) -> c(ENCARG(cons_te(msubst(y0, cons_te(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, cons_te(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, cons_te(y1)))))
   ENCARG(circ(cons_te(msubst(cons_sortSu(y0), y1)), z1)) -> c(ENCARG(cons_te(msubst(cons_sortSu(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(cons_sortSu(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(cons_sortSu(y0), y1))))
   ENCARG(circ(cons_te(msubst(cons_te(y0), y1)), z1)) -> c(ENCARG(cons_te(msubst(cons_te(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(cons_te(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(cons_te(y0), y1))))
   ENCARG(circ(cons_te(msubst(y0, y1)), z1)) -> c(ENCARG(cons_te(msubst(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, y1))))
   ENCARG(circ(cons_te(msubst(y0, circ(y1, y2))), z1)) -> c(ENCARG(cons_te(msubst(y0, circ(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, circ(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, circ(y1, y2)))))
   ENCARG(circ(cons_te(msubst(y0, cons(y1, y2))), z1)) -> c(ENCARG(cons_te(msubst(y0, cons(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, cons(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, cons(y1, y2)))))
   ENCARG(circ(cons_te(msubst(y0, msubst(y1, y2))), z1)) -> c(ENCARG(cons_te(msubst(y0, msubst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, msubst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, msubst(y1, y2)))))
   ENCARG(circ(cons_te(msubst(y0, sop(y1))), z1)) -> c(ENCARG(cons_te(msubst(y0, sop(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, sop(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, sop(y1)))))
   ENCARG(circ(cons_te(msubst(y0, lift)), z1)) -> c(ENCARG(cons_te(msubst(y0, lift))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, lift)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, lift))))
   ENCARG(circ(cons_te(msubst(y0, id)), z1)) -> c(ENCARG(cons_te(msubst(y0, id))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, id)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, id))))
   ENCARG(circ(cons_te(msubst(y0, subst(y1, y2))), z1)) -> c(ENCARG(cons_te(msubst(y0, subst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, subst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, subst(y1, y2)))))
   ENCARG(circ(cons_te(msubst(circ(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(msubst(circ(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(circ(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(circ(y0, y1), y2))))
   ENCARG(circ(cons_te(msubst(cons(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(msubst(cons(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(cons(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(cons(y0, y1), y2))))
   ENCARG(circ(cons_te(msubst(msubst(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(msubst(msubst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(msubst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(msubst(y0, y1), y2))))
   ENCARG(circ(cons_te(msubst(sop(y0), y1)), z1)) -> c(ENCARG(cons_te(msubst(sop(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(sop(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(sop(y0), y1))))
   ENCARG(circ(cons_te(msubst(lift, y0)), z1)) -> c(ENCARG(cons_te(msubst(lift, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(lift, y0)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(lift, y0))))
   ENCARG(circ(cons_te(msubst(id, y0)), z1)) -> c(ENCARG(cons_te(msubst(id, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(id, y0)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(id, y0))))
   ENCARG(circ(cons_te(msubst(subst(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(msubst(subst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(subst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(subst(y0, y1), y2))))
   ENCARG(circ(cons_te(subst(y0, cons_sortSu(y1))), z1)) -> c(ENCARG(cons_te(subst(y0, cons_sortSu(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, cons_sortSu(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, cons_sortSu(y1)))))
   ENCARG(circ(cons_te(subst(y0, cons_te(y1))), z1)) -> c(ENCARG(cons_te(subst(y0, cons_te(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, cons_te(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, cons_te(y1)))))
   ENCARG(circ(cons_te(subst(cons_sortSu(y0), y1)), z1)) -> c(ENCARG(cons_te(subst(cons_sortSu(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(cons_sortSu(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(cons_sortSu(y0), y1))))
   ENCARG(circ(cons_te(subst(cons_te(y0), y1)), z1)) -> c(ENCARG(cons_te(subst(cons_te(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(cons_te(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(cons_te(y0), y1))))
   ENCARG(circ(cons_te(subst(y0, y1)), z1)) -> c(ENCARG(cons_te(subst(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, y1))))
   ENCARG(circ(cons_te(subst(y0, circ(y1, y2))), z1)) -> c(ENCARG(cons_te(subst(y0, circ(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, circ(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, circ(y1, y2)))))
   ENCARG(circ(cons_te(subst(y0, cons(y1, y2))), z1)) -> c(ENCARG(cons_te(subst(y0, cons(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, cons(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, cons(y1, y2)))))
   ENCARG(circ(cons_te(subst(y0, msubst(y1, y2))), z1)) -> c(ENCARG(cons_te(subst(y0, msubst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, msubst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, msubst(y1, y2)))))
   ENCARG(circ(cons_te(subst(y0, sop(y1))), z1)) -> c(ENCARG(cons_te(subst(y0, sop(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, sop(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, sop(y1)))))
   ENCARG(circ(cons_te(subst(y0, lift)), z1)) -> c(ENCARG(cons_te(subst(y0, lift))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, lift)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, lift))))
   ENCARG(circ(cons_te(subst(y0, id)), z1)) -> c(ENCARG(cons_te(subst(y0, id))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, id)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, id))))
   ENCARG(circ(cons_te(subst(y0, subst(y1, y2))), z1)) -> c(ENCARG(cons_te(subst(y0, subst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, subst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, subst(y1, y2)))))
   ENCARG(circ(cons_te(subst(circ(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(subst(circ(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(circ(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(circ(y0, y1), y2))))
   ENCARG(circ(cons_te(subst(cons(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(subst(cons(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(cons(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(cons(y0, y1), y2))))
   ENCARG(circ(cons_te(subst(msubst(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(subst(msubst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(msubst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(msubst(y0, y1), y2))))
   ENCARG(circ(cons_te(subst(sop(y0), y1)), z1)) -> c(ENCARG(cons_te(subst(sop(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(sop(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(sop(y0), y1))))
   ENCARG(circ(cons_te(subst(lift, y0)), z1)) -> c(ENCARG(cons_te(subst(lift, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(lift, y0)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(lift, y0))))
   ENCARG(circ(cons_te(subst(id, y0)), z1)) -> c(ENCARG(cons_te(subst(id, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(id, y0)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(id, y0))))
   ENCARG(circ(cons_te(subst(subst(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(subst(subst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(subst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(subst(y0, y1), y2))))
   ENCARG(circ(cons_te(cons_sortSu(circ(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_sortSu(circ(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(circ(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(circ(y0, y1)))))
   ENCARG(circ(cons_te(cons_sortSu(cons_sortSu(y0))), z1)) -> c(ENCARG(cons_te(cons_sortSu(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(cons_sortSu(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(cons_sortSu(y0)))))
   ENCARG(circ(cons_te(cons_sortSu(cons_te(y0))), z1)) -> c(ENCARG(cons_te(cons_sortSu(cons_te(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(cons_te(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(cons_te(y0)))))
   ENCARG(circ(cons_te(cons_sortSu(cons(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_sortSu(cons(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(cons(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(cons(y0, y1)))))
   ENCARG(circ(cons_te(cons_sortSu(msubst(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_sortSu(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(msubst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(msubst(y0, y1)))))
   ENCARG(circ(cons_te(cons_sortSu(sop(y0))), z1)) -> c(ENCARG(cons_te(cons_sortSu(sop(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(sop(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(sop(y0)))))
   ENCARG(circ(cons_te(cons_sortSu(subst(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_sortSu(subst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(subst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(subst(y0, y1)))))
   ENCARG(circ(cons_te(cons_te(msubst(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_te(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(msubst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(msubst(y0, y1)))))
   ENCARG(circ(cons_te(cons_te(subst(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_te(subst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(subst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(subst(y0, y1)))))
   ENCARG(circ(cons_te(cons_te(cons_sortSu(y0))), z1)) -> c(ENCARG(cons_te(cons_te(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(cons_sortSu(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(cons_sortSu(y0)))))
   ENCARG(circ(cons_te(cons_te(cons_te(y0))), z1)) -> c(ENCARG(cons_te(cons_te(cons_te(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(cons_te(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(cons_te(y0)))))
   ENCARG(circ(cons_te(cons_te(circ(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_te(circ(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(circ(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(circ(y0, y1)))))
   ENCARG(circ(cons_te(cons_te(cons(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_te(cons(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(cons(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(cons(y0, y1)))))
   ENCARG(circ(cons_te(cons_te(sop(y0))), z1)) -> c(ENCARG(cons_te(cons_te(sop(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(sop(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(sop(y0)))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c1_2, c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c7_2, c8_2, c4_1, c_2


----------------------------------------

(133) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace ENCARG(cons(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons(cons(y0, y1), z1)) -> c1(ENCARG(cons(y0, y1)), ENCARG(z1))
   ENCARG(cons(z0, cons(y0, y1))) -> c1(ENCARG(z0), ENCARG(cons(y0, y1)))
   ENCARG(cons(msubst(y0, y1), z1)) -> c1(ENCARG(msubst(y0, y1)), ENCARG(z1))
   ENCARG(cons(z0, msubst(y0, y1))) -> c1(ENCARG(z0), ENCARG(msubst(y0, y1)))
   ENCARG(cons(sop(y0), z1)) -> c1(ENCARG(sop(y0)), ENCARG(z1))
   ENCARG(cons(z0, sop(y0))) -> c1(ENCARG(z0), ENCARG(sop(y0)))
   ENCARG(cons(subst(y0, y1), z1)) -> c1(ENCARG(subst(y0, y1)), ENCARG(z1))
   ENCARG(cons(z0, subst(y0, y1))) -> c1(ENCARG(z0), ENCARG(subst(y0, y1)))
   ENCARG(cons(cons_sortSu(cons(y0, y1)), z1)) -> c1(ENCARG(cons_sortSu(cons(y0, y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons(y0, y1))))
   ENCARG(cons(cons_sortSu(msubst(y0, y1)), z1)) -> c1(ENCARG(cons_sortSu(msubst(y0, y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(msubst(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(msubst(y0, y1))))
   ENCARG(cons(cons_sortSu(sop(y0)), z1)) -> c1(ENCARG(cons_sortSu(sop(y0))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(sop(y0)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(sop(y0))))
   ENCARG(cons(cons_sortSu(subst(y0, y1)), z1)) -> c1(ENCARG(cons_sortSu(subst(y0, y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(subst(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(subst(y0, y1))))
   ENCARG(cons(cons_te(circ(y0, y1)), z1)) -> c1(ENCARG(cons_te(circ(y0, y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(circ(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(circ(y0, y1))))
   ENCARG(cons(cons_te(cons(y0, y1)), z1)) -> c1(ENCARG(cons_te(cons(y0, y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(cons(y0, y1))))
   ENCARG(cons(cons_te(sop(y0)), z1)) -> c1(ENCARG(cons_te(sop(y0))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(sop(y0)))) -> c1(ENCARG(z0), ENCARG(cons_te(sop(y0))))
   ENCARG(cons(cons_sortSu(circ(y0, cons_sortSu(y1))), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, cons_sortSu(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, cons_sortSu(y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, cons_sortSu(y1)))))
   ENCARG(cons(cons_sortSu(circ(y0, cons_te(y1))), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, cons_te(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, cons_te(y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, cons_te(y1)))))
   ENCARG(cons(cons_sortSu(circ(cons_sortSu(y0), y1)), z1)) -> c1(ENCARG(cons_sortSu(circ(cons_sortSu(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(cons_sortSu(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(cons_sortSu(y0), y1))))
   ENCARG(cons(cons_sortSu(circ(cons_te(y0), y1)), z1)) -> c1(ENCARG(cons_sortSu(circ(cons_te(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(cons_te(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(cons_te(y0), y1))))
   ENCARG(cons(cons_sortSu(circ(y0, y1)), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, y1))))
   ENCARG(cons(cons_sortSu(circ(y0, circ(y1, y2))), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, circ(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, circ(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, circ(y1, y2)))))
   ENCARG(cons(cons_sortSu(circ(y0, cons(y1, y2))), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, cons(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, cons(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, cons(y1, y2)))))
   ENCARG(cons(cons_sortSu(circ(y0, msubst(y1, y2))), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, msubst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, msubst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, msubst(y1, y2)))))
   ENCARG(cons(cons_sortSu(circ(y0, sop(y1))), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, sop(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, sop(y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, sop(y1)))))
   ENCARG(cons(cons_sortSu(circ(y0, lift)), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, lift))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, lift)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, lift))))
   ENCARG(cons(cons_sortSu(circ(y0, id)), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, id))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, id)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, id))))
   ENCARG(cons(cons_sortSu(circ(y0, subst(y1, y2))), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, subst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, subst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, subst(y1, y2)))))
   ENCARG(cons(cons_sortSu(circ(circ(y0, y1), y2)), z1)) -> c1(ENCARG(cons_sortSu(circ(circ(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(circ(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(circ(y0, y1), y2))))
   ENCARG(cons(cons_sortSu(circ(cons(y0, y1), y2)), z1)) -> c1(ENCARG(cons_sortSu(circ(cons(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(cons(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(cons(y0, y1), y2))))
   ENCARG(cons(cons_sortSu(circ(msubst(y0, y1), y2)), z1)) -> c1(ENCARG(cons_sortSu(circ(msubst(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(msubst(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(msubst(y0, y1), y2))))
   ENCARG(cons(cons_sortSu(circ(sop(y0), y1)), z1)) -> c1(ENCARG(cons_sortSu(circ(sop(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(sop(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(sop(y0), y1))))
   ENCARG(cons(cons_sortSu(circ(lift, y0)), z1)) -> c1(ENCARG(cons_sortSu(circ(lift, y0))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(lift, y0)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(lift, y0))))
   ENCARG(cons(cons_sortSu(circ(id, y0)), z1)) -> c1(ENCARG(cons_sortSu(circ(id, y0))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(id, y0)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(id, y0))))
   ENCARG(cons(cons_sortSu(circ(subst(y0, y1), y2)), z1)) -> c1(ENCARG(cons_sortSu(circ(subst(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(subst(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(subst(y0, y1), y2))))
   ENCARG(cons(cons_sortSu(cons_sortSu(circ(y0, y1))), z1)) -> c1(ENCARG(cons_sortSu(cons_sortSu(circ(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_sortSu(circ(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(circ(y0, y1)))))
   ENCARG(cons(cons_sortSu(cons_sortSu(cons_sortSu(y0))), z1)) -> c1(ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_sortSu(cons_sortSu(y0))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(y0)))))
   ENCARG(cons(cons_sortSu(cons_sortSu(cons_te(y0))), z1)) -> c1(ENCARG(cons_sortSu(cons_sortSu(cons_te(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_sortSu(cons_te(y0))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(cons_te(y0)))))
   ENCARG(cons(cons_sortSu(cons_sortSu(cons(y0, y1))), z1)) -> c1(ENCARG(cons_sortSu(cons_sortSu(cons(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_sortSu(cons(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(cons(y0, y1)))))
   ENCARG(cons(cons_sortSu(cons_sortSu(msubst(y0, y1))), z1)) -> c1(ENCARG(cons_sortSu(cons_sortSu(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_sortSu(msubst(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(msubst(y0, y1)))))
   ENCARG(cons(cons_sortSu(cons_sortSu(sop(y0))), z1)) -> c1(ENCARG(cons_sortSu(cons_sortSu(sop(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_sortSu(sop(y0))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(sop(y0)))))
   ENCARG(cons(cons_sortSu(cons_sortSu(subst(y0, y1))), z1)) -> c1(ENCARG(cons_sortSu(cons_sortSu(subst(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_sortSu(subst(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(subst(y0, y1)))))
   ENCARG(cons(cons_sortSu(cons_te(msubst(y0, y1))), z1)) -> c1(ENCARG(cons_sortSu(cons_te(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_te(msubst(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_te(msubst(y0, y1)))))
   ENCARG(cons(cons_sortSu(cons_te(subst(y0, y1))), z1)) -> c1(ENCARG(cons_sortSu(cons_te(subst(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_te(subst(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_te(subst(y0, y1)))))
   ENCARG(cons(cons_sortSu(cons_te(cons_sortSu(y0))), z1)) -> c1(ENCARG(cons_sortSu(cons_te(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_te(cons_sortSu(y0))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_te(cons_sortSu(y0)))))
   ENCARG(cons(cons_sortSu(cons_te(cons_te(y0))), z1)) -> c1(ENCARG(cons_sortSu(cons_te(cons_te(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_te(cons_te(y0))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_te(cons_te(y0)))))
   ENCARG(cons(cons_sortSu(cons_te(circ(y0, y1))), z1)) -> c1(ENCARG(cons_sortSu(cons_te(circ(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_te(circ(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_te(circ(y0, y1)))))
   ENCARG(cons(cons_sortSu(cons_te(cons(y0, y1))), z1)) -> c1(ENCARG(cons_sortSu(cons_te(cons(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_te(cons(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_te(cons(y0, y1)))))
   ENCARG(cons(cons_sortSu(cons_te(sop(y0))), z1)) -> c1(ENCARG(cons_sortSu(cons_te(sop(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_te(sop(y0))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_te(sop(y0)))))
   ENCARG(cons(cons_te(msubst(y0, cons_sortSu(y1))), z1)) -> c1(ENCARG(cons_te(msubst(y0, cons_sortSu(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, cons_sortSu(y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, cons_sortSu(y1)))))
   ENCARG(cons(cons_te(msubst(y0, cons_te(y1))), z1)) -> c1(ENCARG(cons_te(msubst(y0, cons_te(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, cons_te(y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, cons_te(y1)))))
   ENCARG(cons(cons_te(msubst(cons_sortSu(y0), y1)), z1)) -> c1(ENCARG(cons_te(msubst(cons_sortSu(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(cons_sortSu(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(cons_sortSu(y0), y1))))
   ENCARG(cons(cons_te(msubst(cons_te(y0), y1)), z1)) -> c1(ENCARG(cons_te(msubst(cons_te(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(cons_te(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(cons_te(y0), y1))))
   ENCARG(cons(cons_te(msubst(y0, y1)), z1)) -> c1(ENCARG(cons_te(msubst(y0, y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, y1))))
   ENCARG(cons(cons_te(msubst(y0, circ(y1, y2))), z1)) -> c1(ENCARG(cons_te(msubst(y0, circ(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, circ(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, circ(y1, y2)))))
   ENCARG(cons(cons_te(msubst(y0, cons(y1, y2))), z1)) -> c1(ENCARG(cons_te(msubst(y0, cons(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, cons(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, cons(y1, y2)))))
   ENCARG(cons(cons_te(msubst(y0, msubst(y1, y2))), z1)) -> c1(ENCARG(cons_te(msubst(y0, msubst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, msubst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, msubst(y1, y2)))))
   ENCARG(cons(cons_te(msubst(y0, sop(y1))), z1)) -> c1(ENCARG(cons_te(msubst(y0, sop(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, sop(y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, sop(y1)))))
   ENCARG(cons(cons_te(msubst(y0, lift)), z1)) -> c1(ENCARG(cons_te(msubst(y0, lift))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, lift)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, lift))))
   ENCARG(cons(cons_te(msubst(y0, id)), z1)) -> c1(ENCARG(cons_te(msubst(y0, id))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, id)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, id))))
   ENCARG(cons(cons_te(msubst(y0, subst(y1, y2))), z1)) -> c1(ENCARG(cons_te(msubst(y0, subst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, subst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, subst(y1, y2)))))
   ENCARG(cons(cons_te(msubst(circ(y0, y1), y2)), z1)) -> c1(ENCARG(cons_te(msubst(circ(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(circ(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(circ(y0, y1), y2))))
   ENCARG(cons(cons_te(msubst(cons(y0, y1), y2)), z1)) -> c1(ENCARG(cons_te(msubst(cons(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(cons(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(cons(y0, y1), y2))))
   ENCARG(cons(cons_te(msubst(msubst(y0, y1), y2)), z1)) -> c1(ENCARG(cons_te(msubst(msubst(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(msubst(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(msubst(y0, y1), y2))))
   ENCARG(cons(cons_te(msubst(sop(y0), y1)), z1)) -> c1(ENCARG(cons_te(msubst(sop(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(sop(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(sop(y0), y1))))
   ENCARG(cons(cons_te(msubst(lift, y0)), z1)) -> c1(ENCARG(cons_te(msubst(lift, y0))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(lift, y0)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(lift, y0))))
   ENCARG(cons(cons_te(msubst(id, y0)), z1)) -> c1(ENCARG(cons_te(msubst(id, y0))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(id, y0)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(id, y0))))
   ENCARG(cons(cons_te(msubst(subst(y0, y1), y2)), z1)) -> c1(ENCARG(cons_te(msubst(subst(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(subst(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(subst(y0, y1), y2))))
   ENCARG(cons(cons_te(subst(y0, cons_sortSu(y1))), z1)) -> c1(ENCARG(cons_te(subst(y0, cons_sortSu(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, cons_sortSu(y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, cons_sortSu(y1)))))
   ENCARG(cons(cons_te(subst(y0, cons_te(y1))), z1)) -> c1(ENCARG(cons_te(subst(y0, cons_te(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, cons_te(y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, cons_te(y1)))))
   ENCARG(cons(cons_te(subst(cons_sortSu(y0), y1)), z1)) -> c1(ENCARG(cons_te(subst(cons_sortSu(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(cons_sortSu(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(cons_sortSu(y0), y1))))
   ENCARG(cons(cons_te(subst(cons_te(y0), y1)), z1)) -> c1(ENCARG(cons_te(subst(cons_te(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(cons_te(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(cons_te(y0), y1))))
   ENCARG(cons(cons_te(subst(y0, y1)), z1)) -> c1(ENCARG(cons_te(subst(y0, y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, y1))))
   ENCARG(cons(cons_te(subst(y0, circ(y1, y2))), z1)) -> c1(ENCARG(cons_te(subst(y0, circ(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, circ(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, circ(y1, y2)))))
   ENCARG(cons(cons_te(subst(y0, cons(y1, y2))), z1)) -> c1(ENCARG(cons_te(subst(y0, cons(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, cons(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, cons(y1, y2)))))
   ENCARG(cons(cons_te(subst(y0, msubst(y1, y2))), z1)) -> c1(ENCARG(cons_te(subst(y0, msubst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, msubst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, msubst(y1, y2)))))
   ENCARG(cons(cons_te(subst(y0, sop(y1))), z1)) -> c1(ENCARG(cons_te(subst(y0, sop(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, sop(y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, sop(y1)))))
   ENCARG(cons(cons_te(subst(y0, lift)), z1)) -> c1(ENCARG(cons_te(subst(y0, lift))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, lift)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, lift))))
   ENCARG(cons(cons_te(subst(y0, id)), z1)) -> c1(ENCARG(cons_te(subst(y0, id))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, id)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, id))))
   ENCARG(cons(cons_te(subst(y0, subst(y1, y2))), z1)) -> c1(ENCARG(cons_te(subst(y0, subst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, subst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, subst(y1, y2)))))
   ENCARG(cons(cons_te(subst(circ(y0, y1), y2)), z1)) -> c1(ENCARG(cons_te(subst(circ(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(circ(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(circ(y0, y1), y2))))
   ENCARG(cons(cons_te(subst(cons(y0, y1), y2)), z1)) -> c1(ENCARG(cons_te(subst(cons(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(cons(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(cons(y0, y1), y2))))
   ENCARG(cons(cons_te(subst(msubst(y0, y1), y2)), z1)) -> c1(ENCARG(cons_te(subst(msubst(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(msubst(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(msubst(y0, y1), y2))))
   ENCARG(cons(cons_te(subst(sop(y0), y1)), z1)) -> c1(ENCARG(cons_te(subst(sop(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(sop(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(sop(y0), y1))))
   ENCARG(cons(cons_te(subst(lift, y0)), z1)) -> c1(ENCARG(cons_te(subst(lift, y0))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(lift, y0)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(lift, y0))))
   ENCARG(cons(cons_te(subst(id, y0)), z1)) -> c1(ENCARG(cons_te(subst(id, y0))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(id, y0)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(id, y0))))
   ENCARG(cons(cons_te(subst(subst(y0, y1), y2)), z1)) -> c1(ENCARG(cons_te(subst(subst(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(subst(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(subst(y0, y1), y2))))
   ENCARG(cons(cons_te(cons_sortSu(circ(y0, y1))), z1)) -> c1(ENCARG(cons_te(cons_sortSu(circ(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_sortSu(circ(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_sortSu(circ(y0, y1)))))
   ENCARG(cons(cons_te(cons_sortSu(cons_sortSu(y0))), z1)) -> c1(ENCARG(cons_te(cons_sortSu(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_sortSu(cons_sortSu(y0))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_sortSu(cons_sortSu(y0)))))
   ENCARG(cons(cons_te(cons_sortSu(cons_te(y0))), z1)) -> c1(ENCARG(cons_te(cons_sortSu(cons_te(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_sortSu(cons_te(y0))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_sortSu(cons_te(y0)))))
   ENCARG(cons(cons_te(cons_sortSu(cons(y0, y1))), z1)) -> c1(ENCARG(cons_te(cons_sortSu(cons(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_sortSu(cons(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_sortSu(cons(y0, y1)))))
   ENCARG(cons(cons_te(cons_sortSu(msubst(y0, y1))), z1)) -> c1(ENCARG(cons_te(cons_sortSu(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_sortSu(msubst(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_sortSu(msubst(y0, y1)))))
   ENCARG(cons(cons_te(cons_sortSu(sop(y0))), z1)) -> c1(ENCARG(cons_te(cons_sortSu(sop(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_sortSu(sop(y0))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_sortSu(sop(y0)))))
   ENCARG(cons(cons_te(cons_sortSu(subst(y0, y1))), z1)) -> c1(ENCARG(cons_te(cons_sortSu(subst(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_sortSu(subst(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_sortSu(subst(y0, y1)))))
   ENCARG(cons(cons_te(cons_te(msubst(y0, y1))), z1)) -> c1(ENCARG(cons_te(cons_te(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_te(msubst(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_te(msubst(y0, y1)))))
   ENCARG(cons(cons_te(cons_te(subst(y0, y1))), z1)) -> c1(ENCARG(cons_te(cons_te(subst(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_te(subst(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_te(subst(y0, y1)))))
   ENCARG(cons(cons_te(cons_te(cons_sortSu(y0))), z1)) -> c1(ENCARG(cons_te(cons_te(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_te(cons_sortSu(y0))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_te(cons_sortSu(y0)))))
   ENCARG(cons(cons_te(cons_te(cons_te(y0))), z1)) -> c1(ENCARG(cons_te(cons_te(cons_te(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_te(cons_te(y0))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_te(cons_te(y0)))))
   ENCARG(cons(cons_te(cons_te(circ(y0, y1))), z1)) -> c1(ENCARG(cons_te(cons_te(circ(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_te(circ(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_te(circ(y0, y1)))))
   ENCARG(cons(cons_te(cons_te(cons(y0, y1))), z1)) -> c1(ENCARG(cons_te(cons_te(cons(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_te(cons(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_te(cons(y0, y1)))))
   ENCARG(cons(cons_te(cons_te(sop(y0))), z1)) -> c1(ENCARG(cons_te(cons_te(sop(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_te(sop(y0))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_te(sop(y0)))))
   ENCARG(cons(circ(circ(y0, y1), y2), z1)) -> c1(ENCARG(circ(circ(y0, y1), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(circ(y0, y1), y2))) -> c1(ENCARG(z0), ENCARG(circ(circ(y0, y1), y2)))
   ENCARG(cons(circ(y0, circ(y1, y2)), z1)) -> c1(ENCARG(circ(y0, circ(y1, y2))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, circ(y1, y2)))) -> c1(ENCARG(z0), ENCARG(circ(y0, circ(y1, y2))))
   ENCARG(cons(circ(cons(y0, y1), y2), z1)) -> c1(ENCARG(circ(cons(y0, y1), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons(y0, y1), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons(y0, y1), y2)))
   ENCARG(cons(circ(y0, cons(y1, y2)), z1)) -> c1(ENCARG(circ(y0, cons(y1, y2))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons(y1, y2)))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons(y1, y2))))
   ENCARG(cons(circ(msubst(y0, y1), y2), z1)) -> c1(ENCARG(circ(msubst(y0, y1), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(msubst(y0, y1), y2))) -> c1(ENCARG(z0), ENCARG(circ(msubst(y0, y1), y2)))
   ENCARG(cons(circ(y0, msubst(y1, y2)), z1)) -> c1(ENCARG(circ(y0, msubst(y1, y2))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, msubst(y1, y2)))) -> c1(ENCARG(z0), ENCARG(circ(y0, msubst(y1, y2))))
   ENCARG(cons(circ(sop(y0), y1), z1)) -> c1(ENCARG(circ(sop(y0), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(sop(y0), y1))) -> c1(ENCARG(z0), ENCARG(circ(sop(y0), y1)))
   ENCARG(cons(circ(y0, sop(y1)), z1)) -> c1(ENCARG(circ(y0, sop(y1))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, sop(y1)))) -> c1(ENCARG(z0), ENCARG(circ(y0, sop(y1))))
   ENCARG(cons(circ(subst(y0, y1), y2), z1)) -> c1(ENCARG(circ(subst(y0, y1), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(subst(y0, y1), y2))) -> c1(ENCARG(z0), ENCARG(circ(subst(y0, y1), y2)))
   ENCARG(cons(circ(y0, subst(y1, y2)), z1)) -> c1(ENCARG(circ(y0, subst(y1, y2))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, subst(y1, y2)))) -> c1(ENCARG(z0), ENCARG(circ(y0, subst(y1, y2))))
   ENCARG(cons(circ(cons_sortSu(cons(y0, y1)), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons(y0, y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons(y0, y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons(y0, y1)), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons(y1, y2))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons(y1, y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons(y1, y2)))))
   ENCARG(cons(circ(cons_sortSu(msubst(y0, y1)), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(msubst(y0, y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(msubst(y0, y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(msubst(y0, y1)), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(msubst(y1, y2))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(msubst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(msubst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(msubst(y1, y2)))))
   ENCARG(cons(circ(cons_sortSu(sop(y0)), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(sop(y0)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(sop(y0)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(sop(y0)), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(sop(y1))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(sop(y1)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(sop(y1))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(sop(y1)))))
   ENCARG(cons(circ(cons_sortSu(subst(y0, y1)), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(subst(y0, y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(subst(y0, y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(subst(y0, y1)), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(subst(y1, y2))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(subst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(subst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(subst(y1, y2)))))
   ENCARG(cons(circ(cons_te(circ(y0, y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(circ(y0, y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(circ(y0, y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(circ(y0, y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(circ(y1, y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(circ(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(circ(y1, y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(circ(y1, y2)))))
   ENCARG(cons(circ(cons_te(cons(y0, y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(cons(y0, y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons(y0, y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons(y0, y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(cons(y1, y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons(y1, y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons(y1, y2)))))
   ENCARG(cons(circ(cons_te(sop(y0)), y1), z1)) -> c1(ENCARG(circ(cons_te(sop(y0)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(sop(y0)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(sop(y0)), y1)))
   ENCARG(cons(circ(y0, cons_te(sop(y1))), z1)) -> c1(ENCARG(circ(y0, cons_te(sop(y1)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(sop(y1))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(sop(y1)))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, cons_sortSu(y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, cons_sortSu(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, cons_sortSu(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, cons_sortSu(y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, cons_sortSu(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, cons_sortSu(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, cons_sortSu(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, cons_sortSu(y2))))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, cons_te(y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, cons_te(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, cons_te(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, cons_te(y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, cons_te(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, cons_te(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, cons_te(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, cons_te(y2))))))
   ENCARG(cons(circ(cons_sortSu(circ(cons_sortSu(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(cons_sortSu(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(cons_sortSu(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(cons_sortSu(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(cons_sortSu(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(cons_sortSu(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(cons_sortSu(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(cons_sortSu(y1), y2)))))
   ENCARG(cons(circ(cons_sortSu(circ(cons_te(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(cons_te(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(cons_te(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(cons_te(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(cons_te(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(cons_te(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(cons_te(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(cons_te(y1), y2)))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, y1)), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, y1)), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, y2))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, y2)))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, circ(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, circ(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, circ(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, circ(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, circ(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, circ(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, circ(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, circ(y2, y3))))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, cons(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, cons(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, cons(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, cons(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, cons(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, cons(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, cons(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, cons(y2, y3))))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, msubst(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, msubst(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, msubst(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, msubst(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, msubst(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, msubst(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, msubst(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, msubst(y2, y3))))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, sop(y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, sop(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, sop(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, sop(y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, sop(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, sop(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, sop(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, sop(y2))))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, lift)), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, lift)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, lift)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, lift)), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, lift))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, lift)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, lift))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, lift)))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, id)), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, id)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, id)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, id)), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, id))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, id)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, id))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, id)))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, subst(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, subst(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, subst(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, subst(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, subst(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, subst(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, subst(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, subst(y2, y3))))))
   ENCARG(cons(circ(cons_sortSu(circ(circ(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(circ(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(circ(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(circ(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(circ(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(circ(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(circ(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(circ(y1, y2), y3)))))
   ENCARG(cons(circ(cons_sortSu(circ(cons(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(cons(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(cons(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(cons(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(cons(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(cons(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(cons(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(cons(y1, y2), y3)))))
   ENCARG(cons(circ(cons_sortSu(circ(msubst(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(msubst(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(msubst(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(msubst(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(msubst(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(msubst(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(msubst(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(msubst(y1, y2), y3)))))
   ENCARG(cons(circ(cons_sortSu(circ(sop(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(sop(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(sop(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(sop(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(sop(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(sop(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(sop(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(sop(y1), y2)))))
   ENCARG(cons(circ(cons_sortSu(circ(lift, y0)), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(lift, y0)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(lift, y0)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(lift, y0)), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(lift, y1))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(lift, y1)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(lift, y1))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(lift, y1)))))
   ENCARG(cons(circ(cons_sortSu(circ(id, y0)), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(id, y0)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(id, y0)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(id, y0)), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(id, y1))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(id, y1)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(id, y1))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(id, y1)))))
   ENCARG(cons(circ(cons_sortSu(circ(subst(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(subst(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(subst(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(subst(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(subst(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(subst(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(subst(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(subst(y1, y2), y3)))))
   ENCARG(cons(circ(cons_sortSu(cons_sortSu(circ(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_sortSu(circ(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_sortSu(circ(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_sortSu(circ(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_sortSu(circ(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_sortSu(circ(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_sortSu(circ(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_sortSu(circ(y1, y2))))))
   ENCARG(cons(circ(cons_sortSu(cons_sortSu(cons_sortSu(y0))), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_sortSu(cons_sortSu(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_sortSu(cons_sortSu(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_sortSu(cons_sortSu(y0))), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_sortSu(cons_sortSu(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_sortSu(cons_sortSu(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_sortSu(cons_sortSu(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_sortSu(cons_sortSu(y1))))))
   ENCARG(cons(circ(cons_sortSu(cons_sortSu(cons_te(y0))), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_sortSu(cons_te(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_sortSu(cons_te(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_sortSu(cons_te(y0))), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_sortSu(cons_te(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_sortSu(cons_te(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_sortSu(cons_te(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_sortSu(cons_te(y1))))))
   ENCARG(cons(circ(cons_sortSu(cons_sortSu(cons(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_sortSu(cons(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_sortSu(cons(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_sortSu(cons(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_sortSu(cons(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_sortSu(cons(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_sortSu(cons(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_sortSu(cons(y1, y2))))))
   ENCARG(cons(circ(cons_sortSu(cons_sortSu(msubst(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_sortSu(msubst(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_sortSu(msubst(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_sortSu(msubst(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_sortSu(msubst(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_sortSu(msubst(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_sortSu(msubst(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_sortSu(msubst(y1, y2))))))
   ENCARG(cons(circ(cons_sortSu(cons_sortSu(sop(y0))), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_sortSu(sop(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_sortSu(sop(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_sortSu(sop(y0))), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_sortSu(sop(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_sortSu(sop(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_sortSu(sop(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_sortSu(sop(y1))))))
   ENCARG(cons(circ(cons_sortSu(cons_sortSu(subst(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_sortSu(subst(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_sortSu(subst(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_sortSu(subst(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_sortSu(subst(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_sortSu(subst(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_sortSu(subst(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_sortSu(subst(y1, y2))))))
   ENCARG(cons(circ(cons_sortSu(cons_te(msubst(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_te(msubst(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_te(msubst(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_te(msubst(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_te(msubst(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_te(msubst(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_te(msubst(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_te(msubst(y1, y2))))))
   ENCARG(cons(circ(cons_sortSu(cons_te(subst(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_te(subst(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_te(subst(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_te(subst(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_te(subst(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_te(subst(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_te(subst(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_te(subst(y1, y2))))))
   ENCARG(cons(circ(cons_sortSu(cons_te(cons_sortSu(y0))), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_te(cons_sortSu(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_te(cons_sortSu(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_te(cons_sortSu(y0))), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_te(cons_sortSu(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_te(cons_sortSu(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_te(cons_sortSu(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_te(cons_sortSu(y1))))))
   ENCARG(cons(circ(cons_sortSu(cons_te(cons_te(y0))), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_te(cons_te(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_te(cons_te(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_te(cons_te(y0))), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_te(cons_te(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_te(cons_te(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_te(cons_te(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_te(cons_te(y1))))))
   ENCARG(cons(circ(cons_sortSu(cons_te(circ(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_te(circ(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_te(circ(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_te(circ(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_te(circ(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_te(circ(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_te(circ(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_te(circ(y1, y2))))))
   ENCARG(cons(circ(cons_sortSu(cons_te(cons(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_te(cons(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_te(cons(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_te(cons(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_te(cons(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_te(cons(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_te(cons(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_te(cons(y1, y2))))))
   ENCARG(cons(circ(cons_sortSu(cons_te(sop(y0))), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_te(sop(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_te(sop(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_te(sop(y0))), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_te(sop(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_te(sop(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_te(sop(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_te(sop(y1))))))
   ENCARG(cons(circ(cons_te(msubst(y0, cons_sortSu(y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, cons_sortSu(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, cons_sortSu(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, cons_sortSu(y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, cons_sortSu(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, cons_sortSu(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, cons_sortSu(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, cons_sortSu(y2))))))
   ENCARG(cons(circ(cons_te(msubst(y0, cons_te(y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, cons_te(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, cons_te(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, cons_te(y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, cons_te(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, cons_te(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, cons_te(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, cons_te(y2))))))
   ENCARG(cons(circ(cons_te(msubst(cons_sortSu(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(msubst(cons_sortSu(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(cons_sortSu(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(cons_sortSu(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(msubst(cons_sortSu(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(cons_sortSu(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(cons_sortSu(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(cons_sortSu(y1), y2)))))
   ENCARG(cons(circ(cons_te(msubst(cons_te(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(msubst(cons_te(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(cons_te(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(cons_te(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(msubst(cons_te(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(cons_te(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(cons_te(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(cons_te(y1), y2)))))
   ENCARG(cons(circ(cons_te(msubst(y0, y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, y2)))))
   ENCARG(cons(circ(cons_te(msubst(y0, circ(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, circ(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, circ(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, circ(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, circ(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, circ(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, circ(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, circ(y2, y3))))))
   ENCARG(cons(circ(cons_te(msubst(y0, cons(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, cons(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, cons(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, cons(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, cons(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, cons(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, cons(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, cons(y2, y3))))))
   ENCARG(cons(circ(cons_te(msubst(y0, msubst(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, msubst(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, msubst(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, msubst(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, msubst(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, msubst(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, msubst(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, msubst(y2, y3))))))
   ENCARG(cons(circ(cons_te(msubst(y0, sop(y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, sop(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, sop(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, sop(y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, sop(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, sop(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, sop(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, sop(y2))))))
   ENCARG(cons(circ(cons_te(msubst(y0, lift)), y1), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, lift)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, lift)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, lift)), y1)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, lift))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, lift)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, lift))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, lift)))))
   ENCARG(cons(circ(cons_te(msubst(y0, id)), y1), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, id)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, id)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, id)), y1)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, id))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, id)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, id))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, id)))))
   ENCARG(cons(circ(cons_te(msubst(y0, subst(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, subst(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, subst(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, subst(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, subst(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, subst(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, subst(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, subst(y2, y3))))))
   ENCARG(cons(circ(cons_te(msubst(circ(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_te(msubst(circ(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(circ(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(circ(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_te(msubst(circ(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(circ(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(circ(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(circ(y1, y2), y3)))))
   ENCARG(cons(circ(cons_te(msubst(cons(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_te(msubst(cons(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(cons(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(cons(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_te(msubst(cons(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(cons(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(cons(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(cons(y1, y2), y3)))))
   ENCARG(cons(circ(cons_te(msubst(msubst(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_te(msubst(msubst(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(msubst(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(msubst(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_te(msubst(msubst(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(msubst(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(msubst(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(msubst(y1, y2), y3)))))
   ENCARG(cons(circ(cons_te(msubst(sop(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(msubst(sop(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(sop(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(sop(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(msubst(sop(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(sop(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(sop(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(sop(y1), y2)))))
   ENCARG(cons(circ(cons_te(msubst(lift, y0)), y1), z1)) -> c1(ENCARG(circ(cons_te(msubst(lift, y0)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(lift, y0)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(lift, y0)), y1)))
   ENCARG(cons(circ(y0, cons_te(msubst(lift, y1))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(lift, y1)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(lift, y1))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(lift, y1)))))
   ENCARG(cons(circ(cons_te(msubst(id, y0)), y1), z1)) -> c1(ENCARG(circ(cons_te(msubst(id, y0)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(id, y0)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(id, y0)), y1)))
   ENCARG(cons(circ(y0, cons_te(msubst(id, y1))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(id, y1)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(id, y1))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(id, y1)))))
   ENCARG(cons(circ(cons_te(msubst(subst(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_te(msubst(subst(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(subst(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(subst(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_te(msubst(subst(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(subst(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(subst(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(subst(y1, y2), y3)))))
   ENCARG(cons(circ(cons_te(subst(y0, cons_sortSu(y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, cons_sortSu(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, cons_sortSu(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, cons_sortSu(y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, cons_sortSu(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, cons_sortSu(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, cons_sortSu(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, cons_sortSu(y2))))))
   ENCARG(cons(circ(cons_te(subst(y0, cons_te(y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, cons_te(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, cons_te(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, cons_te(y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, cons_te(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, cons_te(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, cons_te(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, cons_te(y2))))))
   ENCARG(cons(circ(cons_te(subst(cons_sortSu(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(subst(cons_sortSu(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(cons_sortSu(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(cons_sortSu(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(subst(cons_sortSu(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(cons_sortSu(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(cons_sortSu(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(cons_sortSu(y1), y2)))))
   ENCARG(cons(circ(cons_te(subst(cons_te(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(subst(cons_te(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(cons_te(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(cons_te(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(subst(cons_te(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(cons_te(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(cons_te(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(cons_te(y1), y2)))))
   ENCARG(cons(circ(cons_te(subst(y0, y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, y2)))))
   ENCARG(cons(circ(cons_te(subst(y0, circ(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, circ(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, circ(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, circ(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, circ(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, circ(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, circ(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, circ(y2, y3))))))
   ENCARG(cons(circ(cons_te(subst(y0, cons(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, cons(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, cons(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, cons(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, cons(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, cons(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, cons(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, cons(y2, y3))))))
   ENCARG(cons(circ(cons_te(subst(y0, msubst(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, msubst(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, msubst(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, msubst(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, msubst(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, msubst(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, msubst(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, msubst(y2, y3))))))
   ENCARG(cons(circ(cons_te(subst(y0, sop(y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, sop(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, sop(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, sop(y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, sop(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, sop(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, sop(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, sop(y2))))))
   ENCARG(cons(circ(cons_te(subst(y0, lift)), y1), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, lift)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, lift)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, lift)), y1)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, lift))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, lift)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, lift))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, lift)))))
   ENCARG(cons(circ(cons_te(subst(y0, id)), y1), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, id)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, id)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, id)), y1)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, id))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, id)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, id))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, id)))))
   ENCARG(cons(circ(cons_te(subst(y0, subst(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, subst(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, subst(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, subst(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, subst(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, subst(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, subst(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, subst(y2, y3))))))
   ENCARG(cons(circ(cons_te(subst(circ(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_te(subst(circ(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(circ(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(circ(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_te(subst(circ(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(circ(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(circ(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(circ(y1, y2), y3)))))
   ENCARG(cons(circ(cons_te(subst(cons(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_te(subst(cons(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(cons(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(cons(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_te(subst(cons(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(cons(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(cons(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(cons(y1, y2), y3)))))
   ENCARG(cons(circ(cons_te(subst(msubst(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_te(subst(msubst(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(msubst(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(msubst(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_te(subst(msubst(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(msubst(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(msubst(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(msubst(y1, y2), y3)))))
   ENCARG(cons(circ(cons_te(subst(sop(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(subst(sop(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(sop(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(sop(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(subst(sop(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(sop(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(sop(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(sop(y1), y2)))))
   ENCARG(cons(circ(cons_te(subst(lift, y0)), y1), z1)) -> c1(ENCARG(circ(cons_te(subst(lift, y0)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(lift, y0)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(lift, y0)), y1)))
   ENCARG(cons(circ(y0, cons_te(subst(lift, y1))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(lift, y1)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(lift, y1))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(lift, y1)))))
   ENCARG(cons(circ(cons_te(subst(id, y0)), y1), z1)) -> c1(ENCARG(circ(cons_te(subst(id, y0)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(id, y0)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(id, y0)), y1)))
   ENCARG(cons(circ(y0, cons_te(subst(id, y1))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(id, y1)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(id, y1))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(id, y1)))))
   ENCARG(cons(circ(cons_te(subst(subst(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_te(subst(subst(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(subst(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(subst(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_te(subst(subst(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(subst(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(subst(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(subst(y1, y2), y3)))))
   ENCARG(cons(circ(cons_te(cons_sortSu(circ(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(cons_sortSu(circ(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_sortSu(circ(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_sortSu(circ(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(cons_sortSu(circ(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_sortSu(circ(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_sortSu(circ(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_sortSu(circ(y1, y2))))))
   ENCARG(cons(circ(cons_te(cons_sortSu(cons_sortSu(y0))), y1), z1)) -> c1(ENCARG(circ(cons_te(cons_sortSu(cons_sortSu(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_sortSu(cons_sortSu(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_sortSu(cons_sortSu(y0))), y1)))
   ENCARG(cons(circ(y0, cons_te(cons_sortSu(cons_sortSu(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_sortSu(cons_sortSu(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_sortSu(cons_sortSu(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_sortSu(cons_sortSu(y1))))))
   ENCARG(cons(circ(cons_te(cons_sortSu(cons_te(y0))), y1), z1)) -> c1(ENCARG(circ(cons_te(cons_sortSu(cons_te(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_sortSu(cons_te(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_sortSu(cons_te(y0))), y1)))
   ENCARG(cons(circ(y0, cons_te(cons_sortSu(cons_te(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_sortSu(cons_te(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_sortSu(cons_te(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_sortSu(cons_te(y1))))))
   ENCARG(cons(circ(cons_te(cons_sortSu(cons(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(cons_sortSu(cons(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_sortSu(cons(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_sortSu(cons(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(cons_sortSu(cons(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_sortSu(cons(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_sortSu(cons(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_sortSu(cons(y1, y2))))))
   ENCARG(cons(circ(cons_te(cons_sortSu(msubst(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(cons_sortSu(msubst(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_sortSu(msubst(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_sortSu(msubst(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(cons_sortSu(msubst(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_sortSu(msubst(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_sortSu(msubst(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_sortSu(msubst(y1, y2))))))
   ENCARG(cons(circ(cons_te(cons_sortSu(sop(y0))), y1), z1)) -> c1(ENCARG(circ(cons_te(cons_sortSu(sop(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_sortSu(sop(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_sortSu(sop(y0))), y1)))
   ENCARG(cons(circ(y0, cons_te(cons_sortSu(sop(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_sortSu(sop(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_sortSu(sop(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_sortSu(sop(y1))))))
   ENCARG(cons(circ(cons_te(cons_sortSu(subst(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(cons_sortSu(subst(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_sortSu(subst(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_sortSu(subst(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(cons_sortSu(subst(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_sortSu(subst(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_sortSu(subst(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_sortSu(subst(y1, y2))))))
   ENCARG(cons(circ(cons_te(cons_te(msubst(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(cons_te(msubst(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_te(msubst(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_te(msubst(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(cons_te(msubst(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_te(msubst(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_te(msubst(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_te(msubst(y1, y2))))))
   ENCARG(cons(circ(cons_te(cons_te(subst(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(cons_te(subst(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_te(subst(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_te(subst(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(cons_te(subst(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_te(subst(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_te(subst(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_te(subst(y1, y2))))))
   ENCARG(cons(circ(cons_te(cons_te(cons_sortSu(y0))), y1), z1)) -> c1(ENCARG(circ(cons_te(cons_te(cons_sortSu(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_te(cons_sortSu(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_te(cons_sortSu(y0))), y1)))
   ENCARG(cons(circ(y0, cons_te(cons_te(cons_sortSu(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_te(cons_sortSu(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_te(cons_sortSu(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_te(cons_sortSu(y1))))))
   ENCARG(cons(circ(cons_te(cons_te(cons_te(y0))), y1), z1)) -> c1(ENCARG(circ(cons_te(cons_te(cons_te(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_te(cons_te(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_te(cons_te(y0))), y1)))
   ENCARG(cons(circ(y0, cons_te(cons_te(cons_te(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_te(cons_te(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_te(cons_te(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_te(cons_te(y1))))))
   ENCARG(cons(circ(cons_te(cons_te(circ(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(cons_te(circ(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_te(circ(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_te(circ(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(cons_te(circ(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_te(circ(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_te(circ(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_te(circ(y1, y2))))))
   ENCARG(cons(circ(cons_te(cons_te(cons(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(cons_te(cons(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_te(cons(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_te(cons(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(cons_te(cons(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_te(cons(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_te(cons(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_te(cons(y1, y2))))))
   ENCARG(cons(circ(cons_te(cons_te(sop(y0))), y1), z1)) -> c1(ENCARG(circ(cons_te(cons_te(sop(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_te(sop(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_te(sop(y0))), y1)))
   ENCARG(cons(circ(y0, cons_te(cons_te(sop(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_te(sop(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_te(sop(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_te(sop(y1))))))

----------------------------------------

(134)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(circ(z0, z1)) -> circ(encArg(z0), encArg(z1))
   encArg(cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(msubst(z0, z1)) -> msubst(encArg(z0), encArg(z1))
   encArg(sop(z0)) -> sop(encArg(z0))
   encArg(lift) -> lift
   encArg(id) -> id
   encArg(subst(z0, z1)) -> subst(encArg(z0), encArg(z1))
   encArg(cons_sortSu(z0)) -> sortSu(encArg(z0))
   encArg(cons_te(z0)) -> te(encArg(z0))
   sortSu(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> sortSu(cons(te(msubst(te(z0), sortSu(z2))), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> sortSu(cons(te(z1), sortSu(circ(sortSu(z0), sortSu(z2)))))
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1)))))
   sortSu(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> sortSu(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
   sortSu(circ(sortSu(z0), sortSu(id))) -> sortSu(z0)
   sortSu(circ(sortSu(id), sortSu(z0))) -> sortSu(z0)
   sortSu(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> sortSu(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2)))
   te(subst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(z0), sortSu(id))) -> te(z0)
   te(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> te(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2)))))
Tuples:
   ENCARG(msubst(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(sop(z0)) -> c3(ENCARG(z0))
   ENCARG(subst(z0, z1)) -> c6(ENCARG(z0), ENCARG(z1))
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
   ENCARG(cons_sortSu(cons(z0, z1))) -> c7(ENCARG(cons(z0, z1)))
   ENCARG(cons_sortSu(msubst(z0, z1))) -> c7(ENCARG(msubst(z0, z1)))
   ENCARG(cons_sortSu(sop(z0))) -> c7(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(subst(z0, z1))) -> c7(ENCARG(subst(z0, z1)))
   ENCARG(cons_te(circ(z0, z1))) -> c8(ENCARG(circ(z0, z1)))
   ENCARG(cons_te(cons(z0, z1))) -> c8(ENCARG(cons(z0, z1)))
   ENCARG(cons_te(sop(z0))) -> c8(ENCARG(sop(z0)))
   ENCARG(cons_sortSu(circ(x0, cons_sortSu(z0)))) -> c7(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))), ENCARG(circ(x0, cons_sortSu(z0))))
   ENCARG(cons_sortSu(circ(x0, cons_te(z0)))) -> c7(SORTSU(circ(encArg(x0), te(encArg(z0)))), ENCARG(circ(x0, cons_te(z0))))
   ENCARG(cons_sortSu(circ(cons_sortSu(z0), x1))) -> c7(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))), ENCARG(circ(cons_sortSu(z0), x1)))
   ENCARG(cons_sortSu(circ(cons_te(z0), x1))) -> c7(SORTSU(circ(te(encArg(z0)), encArg(x1))), ENCARG(circ(cons_te(z0), x1)))
   ENCARG(cons_sortSu(circ(x0, x1))) -> c7(ENCARG(circ(x0, x1)))
   ENCARG(cons_sortSu(circ(x0, circ(z0, z1)))) -> c7(ENCARG(circ(x0, circ(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, cons(z0, z1)))) -> c7(ENCARG(circ(x0, cons(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, msubst(z0, z1)))) -> c7(ENCARG(circ(x0, msubst(z0, z1))))
   ENCARG(cons_sortSu(circ(x0, sop(z0)))) -> c7(ENCARG(circ(x0, sop(z0))))
   ENCARG(cons_sortSu(circ(x0, lift))) -> c7(ENCARG(circ(x0, lift)))
   ENCARG(cons_sortSu(circ(x0, id))) -> c7(ENCARG(circ(x0, id)))
   ENCARG(cons_sortSu(circ(x0, subst(z0, z1)))) -> c7(ENCARG(circ(x0, subst(z0, z1))))
   ENCARG(cons_sortSu(circ(circ(z0, z1), x1))) -> c7(ENCARG(circ(circ(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(cons(z0, z1), x1))) -> c7(ENCARG(circ(cons(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(msubst(z0, z1), x1))) -> c7(ENCARG(circ(msubst(z0, z1), x1)))
   ENCARG(cons_sortSu(circ(sop(z0), x1))) -> c7(ENCARG(circ(sop(z0), x1)))
   ENCARG(cons_sortSu(circ(lift, x1))) -> c7(ENCARG(circ(lift, x1)))
   ENCARG(cons_sortSu(circ(id, x1))) -> c7(ENCARG(circ(id, x1)))
   ENCARG(cons_sortSu(circ(subst(z0, z1), x1))) -> c7(ENCARG(circ(subst(z0, z1), x1)))
   ENCARG(cons_sortSu(cons_sortSu(circ(z0, z1)))) -> c7(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(z0)))) -> c7(SORTSU(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons_te(z0)))) -> c7(SORTSU(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_sortSu(cons_sortSu(cons(z0, z1)))) -> c7(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(msubst(z0, z1)))) -> c7(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_sortSu(sop(z0)))) -> c7(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_sortSu(cons_sortSu(subst(z0, z1)))) -> c7(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(msubst(z0, z1)))) -> c7(SORTSU(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(subst(z0, z1)))) -> c7(SORTSU(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons_sortSu(z0)))) -> c7(SORTSU(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_sortSu(cons_te(cons_te(z0)))) -> c7(SORTSU(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_sortSu(cons_te(circ(z0, z1)))) -> c7(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_sortSu(cons_te(cons(z0, z1)))) -> c7(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_sortSu(cons_te(sop(z0)))) -> c7(ENCARG(cons_te(sop(z0))))
   ENCARG(cons_te(msubst(x0, cons_sortSu(z0)))) -> c8(TE(msubst(encArg(x0), sortSu(encArg(z0)))), ENCARG(msubst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(msubst(x0, cons_te(z0)))) -> c8(TE(msubst(encArg(x0), te(encArg(z0)))), ENCARG(msubst(x0, cons_te(z0))))
   ENCARG(cons_te(msubst(cons_sortSu(z0), x1))) -> c8(TE(msubst(sortSu(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(msubst(cons_te(z0), x1))) -> c8(TE(msubst(te(encArg(z0)), encArg(x1))), ENCARG(msubst(cons_te(z0), x1)))
   ENCARG(cons_te(msubst(x0, x1))) -> c8(ENCARG(msubst(x0, x1)))
   ENCARG(cons_te(msubst(x0, circ(z0, z1)))) -> c8(ENCARG(msubst(x0, circ(z0, z1))))
   ENCARG(cons_te(msubst(x0, cons(z0, z1)))) -> c8(ENCARG(msubst(x0, cons(z0, z1))))
   ENCARG(cons_te(msubst(x0, msubst(z0, z1)))) -> c8(ENCARG(msubst(x0, msubst(z0, z1))))
   ENCARG(cons_te(msubst(x0, sop(z0)))) -> c8(ENCARG(msubst(x0, sop(z0))))
   ENCARG(cons_te(msubst(x0, lift))) -> c8(ENCARG(msubst(x0, lift)))
   ENCARG(cons_te(msubst(x0, id))) -> c8(ENCARG(msubst(x0, id)))
   ENCARG(cons_te(msubst(x0, subst(z0, z1)))) -> c8(ENCARG(msubst(x0, subst(z0, z1))))
   ENCARG(cons_te(msubst(circ(z0, z1), x1))) -> c8(ENCARG(msubst(circ(z0, z1), x1)))
   ENCARG(cons_te(msubst(cons(z0, z1), x1))) -> c8(ENCARG(msubst(cons(z0, z1), x1)))
   ENCARG(cons_te(msubst(msubst(z0, z1), x1))) -> c8(ENCARG(msubst(msubst(z0, z1), x1)))
   ENCARG(cons_te(msubst(sop(z0), x1))) -> c8(ENCARG(msubst(sop(z0), x1)))
   ENCARG(cons_te(msubst(lift, x1))) -> c8(ENCARG(msubst(lift, x1)))
   ENCARG(cons_te(msubst(id, x1))) -> c8(ENCARG(msubst(id, x1)))
   ENCARG(cons_te(msubst(subst(z0, z1), x1))) -> c8(ENCARG(msubst(subst(z0, z1), x1)))
   ENCARG(cons_te(subst(x0, cons_sortSu(z0)))) -> c8(TE(subst(encArg(x0), sortSu(encArg(z0)))), ENCARG(subst(x0, cons_sortSu(z0))))
   ENCARG(cons_te(subst(x0, cons_te(z0)))) -> c8(TE(subst(encArg(x0), te(encArg(z0)))), ENCARG(subst(x0, cons_te(z0))))
   ENCARG(cons_te(subst(cons_sortSu(z0), x1))) -> c8(TE(subst(sortSu(encArg(z0)), encArg(x1))), ENCARG(subst(cons_sortSu(z0), x1)))
   ENCARG(cons_te(subst(cons_te(z0), x1))) -> c8(TE(subst(te(encArg(z0)), encArg(x1))), ENCARG(subst(cons_te(z0), x1)))
   ENCARG(cons_te(subst(x0, x1))) -> c8(ENCARG(subst(x0, x1)))
   ENCARG(cons_te(subst(x0, circ(z0, z1)))) -> c8(ENCARG(subst(x0, circ(z0, z1))))
   ENCARG(cons_te(subst(x0, cons(z0, z1)))) -> c8(ENCARG(subst(x0, cons(z0, z1))))
   ENCARG(cons_te(subst(x0, msubst(z0, z1)))) -> c8(ENCARG(subst(x0, msubst(z0, z1))))
   ENCARG(cons_te(subst(x0, sop(z0)))) -> c8(ENCARG(subst(x0, sop(z0))))
   ENCARG(cons_te(subst(x0, lift))) -> c8(ENCARG(subst(x0, lift)))
   ENCARG(cons_te(subst(x0, id))) -> c8(ENCARG(subst(x0, id)))
   ENCARG(cons_te(subst(x0, subst(z0, z1)))) -> c8(ENCARG(subst(x0, subst(z0, z1))))
   ENCARG(cons_te(subst(circ(z0, z1), x1))) -> c8(ENCARG(subst(circ(z0, z1), x1)))
   ENCARG(cons_te(subst(cons(z0, z1), x1))) -> c8(ENCARG(subst(cons(z0, z1), x1)))
   ENCARG(cons_te(subst(msubst(z0, z1), x1))) -> c8(ENCARG(subst(msubst(z0, z1), x1)))
   ENCARG(cons_te(subst(sop(z0), x1))) -> c8(ENCARG(subst(sop(z0), x1)))
   ENCARG(cons_te(subst(lift, x1))) -> c8(ENCARG(subst(lift, x1)))
   ENCARG(cons_te(subst(id, x1))) -> c8(ENCARG(subst(id, x1)))
   ENCARG(cons_te(subst(subst(z0, z1), x1))) -> c8(ENCARG(subst(subst(z0, z1), x1)))
   ENCARG(cons_te(cons_sortSu(circ(z0, z1)))) -> c8(TE(sortSu(circ(encArg(z0), encArg(z1)))), ENCARG(cons_sortSu(circ(z0, z1))))
   ENCARG(cons_te(cons_sortSu(cons_sortSu(z0)))) -> c8(TE(sortSu(sortSu(encArg(z0)))), ENCARG(cons_sortSu(cons_sortSu(z0))))
   ENCARG(cons_te(cons_sortSu(cons_te(z0)))) -> c8(TE(sortSu(te(encArg(z0)))), ENCARG(cons_sortSu(cons_te(z0))))
   ENCARG(cons_te(cons_sortSu(cons(z0, z1)))) -> c8(ENCARG(cons_sortSu(cons(z0, z1))))
   ENCARG(cons_te(cons_sortSu(msubst(z0, z1)))) -> c8(ENCARG(cons_sortSu(msubst(z0, z1))))
   ENCARG(cons_te(cons_sortSu(sop(z0)))) -> c8(ENCARG(cons_sortSu(sop(z0))))
   ENCARG(cons_te(cons_sortSu(subst(z0, z1)))) -> c8(ENCARG(cons_sortSu(subst(z0, z1))))
   ENCARG(cons_te(cons_te(msubst(z0, z1)))) -> c8(TE(te(msubst(encArg(z0), encArg(z1)))), ENCARG(cons_te(msubst(z0, z1))))
   ENCARG(cons_te(cons_te(subst(z0, z1)))) -> c8(TE(te(subst(encArg(z0), encArg(z1)))), ENCARG(cons_te(subst(z0, z1))))
   ENCARG(cons_te(cons_te(cons_sortSu(z0)))) -> c8(TE(te(sortSu(encArg(z0)))), ENCARG(cons_te(cons_sortSu(z0))))
   ENCARG(cons_te(cons_te(cons_te(z0)))) -> c8(TE(te(te(encArg(z0)))), ENCARG(cons_te(cons_te(z0))))
   ENCARG(cons_te(cons_te(circ(z0, z1)))) -> c8(ENCARG(cons_te(circ(z0, z1))))
   ENCARG(cons_te(cons_te(cons(z0, z1)))) -> c8(ENCARG(cons_te(cons(z0, z1))))
   ENCARG(cons_te(cons_te(sop(z0)))) -> c8(ENCARG(cons_te(sop(z0))))
   ENCODE_SORTSU(circ(x0, cons_sortSu(z0))) -> c4(SORTSU(circ(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_SORTSU(circ(x0, cons_te(z0))) -> c4(SORTSU(circ(encArg(x0), te(encArg(z0)))))
   ENCODE_SORTSU(circ(cons_sortSu(z0), x1)) -> c4(SORTSU(circ(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(circ(cons_te(z0), x1)) -> c4(SORTSU(circ(te(encArg(z0)), encArg(x1))))
   ENCODE_SORTSU(cons_sortSu(circ(z0, z1))) -> c4(SORTSU(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_sortSu(cons_sortSu(z0))) -> c4(SORTSU(sortSu(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_sortSu(cons_te(z0))) -> c4(SORTSU(sortSu(te(encArg(z0)))))
   ENCODE_SORTSU(cons_te(msubst(z0, z1))) -> c4(SORTSU(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(subst(z0, z1))) -> c4(SORTSU(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_SORTSU(cons_te(cons_sortSu(z0))) -> c4(SORTSU(te(sortSu(encArg(z0)))))
   ENCODE_SORTSU(cons_te(cons_te(z0))) -> c4(SORTSU(te(te(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_sortSu(z0))) -> c4(TE(msubst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(msubst(x0, cons_te(z0))) -> c4(TE(msubst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(msubst(cons_sortSu(z0), x1)) -> c4(TE(msubst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(msubst(cons_te(z0), x1)) -> c4(TE(msubst(te(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(x0, cons_sortSu(z0))) -> c4(TE(subst(encArg(x0), sortSu(encArg(z0)))))
   ENCODE_TE(subst(x0, cons_te(z0))) -> c4(TE(subst(encArg(x0), te(encArg(z0)))))
   ENCODE_TE(subst(cons_sortSu(z0), x1)) -> c4(TE(subst(sortSu(encArg(z0)), encArg(x1))))
   ENCODE_TE(subst(cons_te(z0), x1)) -> c4(TE(subst(te(encArg(z0)), encArg(x1))))
   ENCODE_TE(cons_sortSu(circ(z0, z1))) -> c4(TE(sortSu(circ(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_sortSu(cons_sortSu(z0))) -> c4(TE(sortSu(sortSu(encArg(z0)))))
   ENCODE_TE(cons_sortSu(cons_te(z0))) -> c4(TE(sortSu(te(encArg(z0)))))
   ENCODE_TE(cons_te(msubst(z0, z1))) -> c4(TE(te(msubst(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_te(subst(z0, z1))) -> c4(TE(te(subst(encArg(z0), encArg(z1)))))
   ENCODE_TE(cons_te(cons_sortSu(z0))) -> c4(TE(te(sortSu(encArg(z0)))))
   ENCODE_TE(cons_te(cons_te(z0))) -> c4(TE(te(te(encArg(z0)))))
   ENCARG(circ(circ(y0, y1), z1)) -> c(ENCARG(circ(y0, y1)), ENCARG(z1))
   ENCARG(circ(z0, circ(y0, y1))) -> c(ENCARG(z0), ENCARG(circ(y0, y1)))
   ENCARG(circ(cons(y0, y1), z1)) -> c(ENCARG(cons(y0, y1)), ENCARG(z1))
   ENCARG(circ(z0, cons(y0, y1))) -> c(ENCARG(z0), ENCARG(cons(y0, y1)))
   ENCARG(circ(msubst(y0, y1), z1)) -> c(ENCARG(msubst(y0, y1)), ENCARG(z1))
   ENCARG(circ(z0, msubst(y0, y1))) -> c(ENCARG(z0), ENCARG(msubst(y0, y1)))
   ENCARG(circ(sop(y0), z1)) -> c(ENCARG(sop(y0)), ENCARG(z1))
   ENCARG(circ(z0, sop(y0))) -> c(ENCARG(z0), ENCARG(sop(y0)))
   ENCARG(circ(subst(y0, y1), z1)) -> c(ENCARG(subst(y0, y1)), ENCARG(z1))
   ENCARG(circ(z0, subst(y0, y1))) -> c(ENCARG(z0), ENCARG(subst(y0, y1)))
   ENCARG(circ(cons_sortSu(cons(y0, y1)), z1)) -> c(ENCARG(cons_sortSu(cons(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons(y0, y1))))
   ENCARG(circ(cons_sortSu(msubst(y0, y1)), z1)) -> c(ENCARG(cons_sortSu(msubst(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(msubst(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(msubst(y0, y1))))
   ENCARG(circ(cons_sortSu(sop(y0)), z1)) -> c(ENCARG(cons_sortSu(sop(y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(sop(y0)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(sop(y0))))
   ENCARG(circ(cons_sortSu(subst(y0, y1)), z1)) -> c(ENCARG(cons_sortSu(subst(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(subst(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(subst(y0, y1))))
   ENCARG(circ(cons_te(circ(y0, y1)), z1)) -> c(ENCARG(cons_te(circ(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(circ(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_te(circ(y0, y1))))
   ENCARG(circ(cons_te(cons(y0, y1)), z1)) -> c(ENCARG(cons_te(cons(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_te(cons(y0, y1))))
   ENCARG(circ(cons_te(sop(y0)), z1)) -> c(ENCARG(cons_te(sop(y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(sop(y0)))) -> c(ENCARG(z0), ENCARG(cons_te(sop(y0))))
   ENCARG(circ(cons_sortSu(circ(y0, cons_sortSu(y1))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, cons_sortSu(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, cons_sortSu(y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, cons_sortSu(y1)))))
   ENCARG(circ(cons_sortSu(circ(y0, cons_te(y1))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, cons_te(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, cons_te(y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, cons_te(y1)))))
   ENCARG(circ(cons_sortSu(circ(cons_sortSu(y0), y1)), z1)) -> c(ENCARG(cons_sortSu(circ(cons_sortSu(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(cons_sortSu(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(cons_sortSu(y0), y1))))
   ENCARG(circ(cons_sortSu(circ(cons_te(y0), y1)), z1)) -> c(ENCARG(cons_sortSu(circ(cons_te(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(cons_te(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(cons_te(y0), y1))))
   ENCARG(circ(cons_sortSu(circ(y0, y1)), z1)) -> c(ENCARG(cons_sortSu(circ(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, y1))))
   ENCARG(circ(cons_sortSu(circ(y0, circ(y1, y2))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, circ(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, circ(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, circ(y1, y2)))))
   ENCARG(circ(cons_sortSu(circ(y0, cons(y1, y2))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, cons(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, cons(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, cons(y1, y2)))))
   ENCARG(circ(cons_sortSu(circ(y0, msubst(y1, y2))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, msubst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, msubst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, msubst(y1, y2)))))
   ENCARG(circ(cons_sortSu(circ(y0, sop(y1))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, sop(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, sop(y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, sop(y1)))))
   ENCARG(circ(cons_sortSu(circ(y0, lift)), z1)) -> c(ENCARG(cons_sortSu(circ(y0, lift))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, lift)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, lift))))
   ENCARG(circ(cons_sortSu(circ(y0, id)), z1)) -> c(ENCARG(cons_sortSu(circ(y0, id))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, id)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, id))))
   ENCARG(circ(cons_sortSu(circ(y0, subst(y1, y2))), z1)) -> c(ENCARG(cons_sortSu(circ(y0, subst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(y0, subst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, subst(y1, y2)))))
   ENCARG(circ(cons_sortSu(circ(circ(y0, y1), y2)), z1)) -> c(ENCARG(cons_sortSu(circ(circ(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(circ(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(circ(y0, y1), y2))))
   ENCARG(circ(cons_sortSu(circ(cons(y0, y1), y2)), z1)) -> c(ENCARG(cons_sortSu(circ(cons(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(cons(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(cons(y0, y1), y2))))
   ENCARG(circ(cons_sortSu(circ(msubst(y0, y1), y2)), z1)) -> c(ENCARG(cons_sortSu(circ(msubst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(msubst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(msubst(y0, y1), y2))))
   ENCARG(circ(cons_sortSu(circ(sop(y0), y1)), z1)) -> c(ENCARG(cons_sortSu(circ(sop(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(sop(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(sop(y0), y1))))
   ENCARG(circ(cons_sortSu(circ(lift, y0)), z1)) -> c(ENCARG(cons_sortSu(circ(lift, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(lift, y0)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(lift, y0))))
   ENCARG(circ(cons_sortSu(circ(id, y0)), z1)) -> c(ENCARG(cons_sortSu(circ(id, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(id, y0)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(id, y0))))
   ENCARG(circ(cons_sortSu(circ(subst(y0, y1), y2)), z1)) -> c(ENCARG(cons_sortSu(circ(subst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(circ(subst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_sortSu(circ(subst(y0, y1), y2))))
   ENCARG(circ(cons_sortSu(cons_sortSu(circ(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(circ(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(circ(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(circ(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(cons_sortSu(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(cons_sortSu(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(y0)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(cons_te(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(cons_te(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(cons_te(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(cons_te(y0)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(cons(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(cons(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(cons(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(cons(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(msubst(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(msubst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(msubst(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(sop(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(sop(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(sop(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(sop(y0)))))
   ENCARG(circ(cons_sortSu(cons_sortSu(subst(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_sortSu(subst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_sortSu(subst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(subst(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_te(msubst(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_te(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(msubst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(msubst(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_te(subst(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_te(subst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(subst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(subst(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_te(cons_sortSu(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_te(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(cons_sortSu(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(cons_sortSu(y0)))))
   ENCARG(circ(cons_sortSu(cons_te(cons_te(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_te(cons_te(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(cons_te(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(cons_te(y0)))))
   ENCARG(circ(cons_sortSu(cons_te(circ(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_te(circ(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(circ(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(circ(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_te(cons(y0, y1))), z1)) -> c(ENCARG(cons_sortSu(cons_te(cons(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(cons(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(cons(y0, y1)))))
   ENCARG(circ(cons_sortSu(cons_te(sop(y0))), z1)) -> c(ENCARG(cons_sortSu(cons_te(sop(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_sortSu(cons_te(sop(y0))))) -> c(ENCARG(z0), ENCARG(cons_sortSu(cons_te(sop(y0)))))
   ENCARG(circ(cons_te(msubst(y0, cons_sortSu(y1))), z1)) -> c(ENCARG(cons_te(msubst(y0, cons_sortSu(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, cons_sortSu(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, cons_sortSu(y1)))))
   ENCARG(circ(cons_te(msubst(y0, cons_te(y1))), z1)) -> c(ENCARG(cons_te(msubst(y0, cons_te(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, cons_te(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, cons_te(y1)))))
   ENCARG(circ(cons_te(msubst(cons_sortSu(y0), y1)), z1)) -> c(ENCARG(cons_te(msubst(cons_sortSu(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(cons_sortSu(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(cons_sortSu(y0), y1))))
   ENCARG(circ(cons_te(msubst(cons_te(y0), y1)), z1)) -> c(ENCARG(cons_te(msubst(cons_te(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(cons_te(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(cons_te(y0), y1))))
   ENCARG(circ(cons_te(msubst(y0, y1)), z1)) -> c(ENCARG(cons_te(msubst(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, y1))))
   ENCARG(circ(cons_te(msubst(y0, circ(y1, y2))), z1)) -> c(ENCARG(cons_te(msubst(y0, circ(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, circ(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, circ(y1, y2)))))
   ENCARG(circ(cons_te(msubst(y0, cons(y1, y2))), z1)) -> c(ENCARG(cons_te(msubst(y0, cons(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, cons(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, cons(y1, y2)))))
   ENCARG(circ(cons_te(msubst(y0, msubst(y1, y2))), z1)) -> c(ENCARG(cons_te(msubst(y0, msubst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, msubst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, msubst(y1, y2)))))
   ENCARG(circ(cons_te(msubst(y0, sop(y1))), z1)) -> c(ENCARG(cons_te(msubst(y0, sop(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, sop(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, sop(y1)))))
   ENCARG(circ(cons_te(msubst(y0, lift)), z1)) -> c(ENCARG(cons_te(msubst(y0, lift))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, lift)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, lift))))
   ENCARG(circ(cons_te(msubst(y0, id)), z1)) -> c(ENCARG(cons_te(msubst(y0, id))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, id)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, id))))
   ENCARG(circ(cons_te(msubst(y0, subst(y1, y2))), z1)) -> c(ENCARG(cons_te(msubst(y0, subst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(y0, subst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(y0, subst(y1, y2)))))
   ENCARG(circ(cons_te(msubst(circ(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(msubst(circ(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(circ(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(circ(y0, y1), y2))))
   ENCARG(circ(cons_te(msubst(cons(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(msubst(cons(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(cons(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(cons(y0, y1), y2))))
   ENCARG(circ(cons_te(msubst(msubst(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(msubst(msubst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(msubst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(msubst(y0, y1), y2))))
   ENCARG(circ(cons_te(msubst(sop(y0), y1)), z1)) -> c(ENCARG(cons_te(msubst(sop(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(sop(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(sop(y0), y1))))
   ENCARG(circ(cons_te(msubst(lift, y0)), z1)) -> c(ENCARG(cons_te(msubst(lift, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(lift, y0)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(lift, y0))))
   ENCARG(circ(cons_te(msubst(id, y0)), z1)) -> c(ENCARG(cons_te(msubst(id, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(id, y0)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(id, y0))))
   ENCARG(circ(cons_te(msubst(subst(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(msubst(subst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(msubst(subst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(msubst(subst(y0, y1), y2))))
   ENCARG(circ(cons_te(subst(y0, cons_sortSu(y1))), z1)) -> c(ENCARG(cons_te(subst(y0, cons_sortSu(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, cons_sortSu(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, cons_sortSu(y1)))))
   ENCARG(circ(cons_te(subst(y0, cons_te(y1))), z1)) -> c(ENCARG(cons_te(subst(y0, cons_te(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, cons_te(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, cons_te(y1)))))
   ENCARG(circ(cons_te(subst(cons_sortSu(y0), y1)), z1)) -> c(ENCARG(cons_te(subst(cons_sortSu(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(cons_sortSu(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(cons_sortSu(y0), y1))))
   ENCARG(circ(cons_te(subst(cons_te(y0), y1)), z1)) -> c(ENCARG(cons_te(subst(cons_te(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(cons_te(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(cons_te(y0), y1))))
   ENCARG(circ(cons_te(subst(y0, y1)), z1)) -> c(ENCARG(cons_te(subst(y0, y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, y1)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, y1))))
   ENCARG(circ(cons_te(subst(y0, circ(y1, y2))), z1)) -> c(ENCARG(cons_te(subst(y0, circ(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, circ(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, circ(y1, y2)))))
   ENCARG(circ(cons_te(subst(y0, cons(y1, y2))), z1)) -> c(ENCARG(cons_te(subst(y0, cons(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, cons(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, cons(y1, y2)))))
   ENCARG(circ(cons_te(subst(y0, msubst(y1, y2))), z1)) -> c(ENCARG(cons_te(subst(y0, msubst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, msubst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, msubst(y1, y2)))))
   ENCARG(circ(cons_te(subst(y0, sop(y1))), z1)) -> c(ENCARG(cons_te(subst(y0, sop(y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, sop(y1))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, sop(y1)))))
   ENCARG(circ(cons_te(subst(y0, lift)), z1)) -> c(ENCARG(cons_te(subst(y0, lift))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, lift)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, lift))))
   ENCARG(circ(cons_te(subst(y0, id)), z1)) -> c(ENCARG(cons_te(subst(y0, id))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, id)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, id))))
   ENCARG(circ(cons_te(subst(y0, subst(y1, y2))), z1)) -> c(ENCARG(cons_te(subst(y0, subst(y1, y2)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(y0, subst(y1, y2))))) -> c(ENCARG(z0), ENCARG(cons_te(subst(y0, subst(y1, y2)))))
   ENCARG(circ(cons_te(subst(circ(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(subst(circ(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(circ(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(circ(y0, y1), y2))))
   ENCARG(circ(cons_te(subst(cons(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(subst(cons(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(cons(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(cons(y0, y1), y2))))
   ENCARG(circ(cons_te(subst(msubst(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(subst(msubst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(msubst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(msubst(y0, y1), y2))))
   ENCARG(circ(cons_te(subst(sop(y0), y1)), z1)) -> c(ENCARG(cons_te(subst(sop(y0), y1))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(sop(y0), y1)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(sop(y0), y1))))
   ENCARG(circ(cons_te(subst(lift, y0)), z1)) -> c(ENCARG(cons_te(subst(lift, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(lift, y0)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(lift, y0))))
   ENCARG(circ(cons_te(subst(id, y0)), z1)) -> c(ENCARG(cons_te(subst(id, y0))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(id, y0)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(id, y0))))
   ENCARG(circ(cons_te(subst(subst(y0, y1), y2)), z1)) -> c(ENCARG(cons_te(subst(subst(y0, y1), y2))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(subst(subst(y0, y1), y2)))) -> c(ENCARG(z0), ENCARG(cons_te(subst(subst(y0, y1), y2))))
   ENCARG(circ(cons_te(cons_sortSu(circ(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_sortSu(circ(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(circ(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(circ(y0, y1)))))
   ENCARG(circ(cons_te(cons_sortSu(cons_sortSu(y0))), z1)) -> c(ENCARG(cons_te(cons_sortSu(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(cons_sortSu(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(cons_sortSu(y0)))))
   ENCARG(circ(cons_te(cons_sortSu(cons_te(y0))), z1)) -> c(ENCARG(cons_te(cons_sortSu(cons_te(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(cons_te(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(cons_te(y0)))))
   ENCARG(circ(cons_te(cons_sortSu(cons(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_sortSu(cons(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(cons(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(cons(y0, y1)))))
   ENCARG(circ(cons_te(cons_sortSu(msubst(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_sortSu(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(msubst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(msubst(y0, y1)))))
   ENCARG(circ(cons_te(cons_sortSu(sop(y0))), z1)) -> c(ENCARG(cons_te(cons_sortSu(sop(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(sop(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(sop(y0)))))
   ENCARG(circ(cons_te(cons_sortSu(subst(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_sortSu(subst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_sortSu(subst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_sortSu(subst(y0, y1)))))
   ENCARG(circ(cons_te(cons_te(msubst(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_te(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(msubst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(msubst(y0, y1)))))
   ENCARG(circ(cons_te(cons_te(subst(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_te(subst(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(subst(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(subst(y0, y1)))))
   ENCARG(circ(cons_te(cons_te(cons_sortSu(y0))), z1)) -> c(ENCARG(cons_te(cons_te(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(cons_sortSu(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(cons_sortSu(y0)))))
   ENCARG(circ(cons_te(cons_te(cons_te(y0))), z1)) -> c(ENCARG(cons_te(cons_te(cons_te(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(cons_te(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(cons_te(y0)))))
   ENCARG(circ(cons_te(cons_te(circ(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_te(circ(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(circ(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(circ(y0, y1)))))
   ENCARG(circ(cons_te(cons_te(cons(y0, y1))), z1)) -> c(ENCARG(cons_te(cons_te(cons(y0, y1)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(cons(y0, y1))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(cons(y0, y1)))))
   ENCARG(circ(cons_te(cons_te(sop(y0))), z1)) -> c(ENCARG(cons_te(cons_te(sop(y0)))), ENCARG(z1))
   ENCARG(circ(z0, cons_te(cons_te(sop(y0))))) -> c(ENCARG(z0), ENCARG(cons_te(cons_te(sop(y0)))))
   ENCARG(cons(cons(y0, y1), z1)) -> c1(ENCARG(cons(y0, y1)), ENCARG(z1))
   ENCARG(cons(z0, cons(y0, y1))) -> c1(ENCARG(z0), ENCARG(cons(y0, y1)))
   ENCARG(cons(msubst(y0, y1), z1)) -> c1(ENCARG(msubst(y0, y1)), ENCARG(z1))
   ENCARG(cons(z0, msubst(y0, y1))) -> c1(ENCARG(z0), ENCARG(msubst(y0, y1)))
   ENCARG(cons(sop(y0), z1)) -> c1(ENCARG(sop(y0)), ENCARG(z1))
   ENCARG(cons(z0, sop(y0))) -> c1(ENCARG(z0), ENCARG(sop(y0)))
   ENCARG(cons(subst(y0, y1), z1)) -> c1(ENCARG(subst(y0, y1)), ENCARG(z1))
   ENCARG(cons(z0, subst(y0, y1))) -> c1(ENCARG(z0), ENCARG(subst(y0, y1)))
   ENCARG(cons(cons_sortSu(cons(y0, y1)), z1)) -> c1(ENCARG(cons_sortSu(cons(y0, y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons(y0, y1))))
   ENCARG(cons(cons_sortSu(msubst(y0, y1)), z1)) -> c1(ENCARG(cons_sortSu(msubst(y0, y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(msubst(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(msubst(y0, y1))))
   ENCARG(cons(cons_sortSu(sop(y0)), z1)) -> c1(ENCARG(cons_sortSu(sop(y0))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(sop(y0)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(sop(y0))))
   ENCARG(cons(cons_sortSu(subst(y0, y1)), z1)) -> c1(ENCARG(cons_sortSu(subst(y0, y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(subst(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(subst(y0, y1))))
   ENCARG(cons(cons_te(circ(y0, y1)), z1)) -> c1(ENCARG(cons_te(circ(y0, y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(circ(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(circ(y0, y1))))
   ENCARG(cons(cons_te(cons(y0, y1)), z1)) -> c1(ENCARG(cons_te(cons(y0, y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(cons(y0, y1))))
   ENCARG(cons(cons_te(sop(y0)), z1)) -> c1(ENCARG(cons_te(sop(y0))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(sop(y0)))) -> c1(ENCARG(z0), ENCARG(cons_te(sop(y0))))
   ENCARG(cons(cons_sortSu(circ(y0, cons_sortSu(y1))), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, cons_sortSu(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, cons_sortSu(y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, cons_sortSu(y1)))))
   ENCARG(cons(cons_sortSu(circ(y0, cons_te(y1))), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, cons_te(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, cons_te(y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, cons_te(y1)))))
   ENCARG(cons(cons_sortSu(circ(cons_sortSu(y0), y1)), z1)) -> c1(ENCARG(cons_sortSu(circ(cons_sortSu(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(cons_sortSu(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(cons_sortSu(y0), y1))))
   ENCARG(cons(cons_sortSu(circ(cons_te(y0), y1)), z1)) -> c1(ENCARG(cons_sortSu(circ(cons_te(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(cons_te(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(cons_te(y0), y1))))
   ENCARG(cons(cons_sortSu(circ(y0, y1)), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, y1))))
   ENCARG(cons(cons_sortSu(circ(y0, circ(y1, y2))), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, circ(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, circ(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, circ(y1, y2)))))
   ENCARG(cons(cons_sortSu(circ(y0, cons(y1, y2))), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, cons(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, cons(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, cons(y1, y2)))))
   ENCARG(cons(cons_sortSu(circ(y0, msubst(y1, y2))), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, msubst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, msubst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, msubst(y1, y2)))))
   ENCARG(cons(cons_sortSu(circ(y0, sop(y1))), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, sop(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, sop(y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, sop(y1)))))
   ENCARG(cons(cons_sortSu(circ(y0, lift)), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, lift))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, lift)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, lift))))
   ENCARG(cons(cons_sortSu(circ(y0, id)), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, id))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, id)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, id))))
   ENCARG(cons(cons_sortSu(circ(y0, subst(y1, y2))), z1)) -> c1(ENCARG(cons_sortSu(circ(y0, subst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(y0, subst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(y0, subst(y1, y2)))))
   ENCARG(cons(cons_sortSu(circ(circ(y0, y1), y2)), z1)) -> c1(ENCARG(cons_sortSu(circ(circ(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(circ(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(circ(y0, y1), y2))))
   ENCARG(cons(cons_sortSu(circ(cons(y0, y1), y2)), z1)) -> c1(ENCARG(cons_sortSu(circ(cons(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(cons(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(cons(y0, y1), y2))))
   ENCARG(cons(cons_sortSu(circ(msubst(y0, y1), y2)), z1)) -> c1(ENCARG(cons_sortSu(circ(msubst(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(msubst(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(msubst(y0, y1), y2))))
   ENCARG(cons(cons_sortSu(circ(sop(y0), y1)), z1)) -> c1(ENCARG(cons_sortSu(circ(sop(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(sop(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(sop(y0), y1))))
   ENCARG(cons(cons_sortSu(circ(lift, y0)), z1)) -> c1(ENCARG(cons_sortSu(circ(lift, y0))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(lift, y0)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(lift, y0))))
   ENCARG(cons(cons_sortSu(circ(id, y0)), z1)) -> c1(ENCARG(cons_sortSu(circ(id, y0))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(id, y0)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(id, y0))))
   ENCARG(cons(cons_sortSu(circ(subst(y0, y1), y2)), z1)) -> c1(ENCARG(cons_sortSu(circ(subst(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(circ(subst(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(circ(subst(y0, y1), y2))))
   ENCARG(cons(cons_sortSu(cons_sortSu(circ(y0, y1))), z1)) -> c1(ENCARG(cons_sortSu(cons_sortSu(circ(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_sortSu(circ(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(circ(y0, y1)))))
   ENCARG(cons(cons_sortSu(cons_sortSu(cons_sortSu(y0))), z1)) -> c1(ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_sortSu(cons_sortSu(y0))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(cons_sortSu(y0)))))
   ENCARG(cons(cons_sortSu(cons_sortSu(cons_te(y0))), z1)) -> c1(ENCARG(cons_sortSu(cons_sortSu(cons_te(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_sortSu(cons_te(y0))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(cons_te(y0)))))
   ENCARG(cons(cons_sortSu(cons_sortSu(cons(y0, y1))), z1)) -> c1(ENCARG(cons_sortSu(cons_sortSu(cons(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_sortSu(cons(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(cons(y0, y1)))))
   ENCARG(cons(cons_sortSu(cons_sortSu(msubst(y0, y1))), z1)) -> c1(ENCARG(cons_sortSu(cons_sortSu(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_sortSu(msubst(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(msubst(y0, y1)))))
   ENCARG(cons(cons_sortSu(cons_sortSu(sop(y0))), z1)) -> c1(ENCARG(cons_sortSu(cons_sortSu(sop(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_sortSu(sop(y0))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(sop(y0)))))
   ENCARG(cons(cons_sortSu(cons_sortSu(subst(y0, y1))), z1)) -> c1(ENCARG(cons_sortSu(cons_sortSu(subst(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_sortSu(subst(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_sortSu(subst(y0, y1)))))
   ENCARG(cons(cons_sortSu(cons_te(msubst(y0, y1))), z1)) -> c1(ENCARG(cons_sortSu(cons_te(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_te(msubst(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_te(msubst(y0, y1)))))
   ENCARG(cons(cons_sortSu(cons_te(subst(y0, y1))), z1)) -> c1(ENCARG(cons_sortSu(cons_te(subst(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_te(subst(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_te(subst(y0, y1)))))
   ENCARG(cons(cons_sortSu(cons_te(cons_sortSu(y0))), z1)) -> c1(ENCARG(cons_sortSu(cons_te(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_te(cons_sortSu(y0))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_te(cons_sortSu(y0)))))
   ENCARG(cons(cons_sortSu(cons_te(cons_te(y0))), z1)) -> c1(ENCARG(cons_sortSu(cons_te(cons_te(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_te(cons_te(y0))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_te(cons_te(y0)))))
   ENCARG(cons(cons_sortSu(cons_te(circ(y0, y1))), z1)) -> c1(ENCARG(cons_sortSu(cons_te(circ(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_te(circ(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_te(circ(y0, y1)))))
   ENCARG(cons(cons_sortSu(cons_te(cons(y0, y1))), z1)) -> c1(ENCARG(cons_sortSu(cons_te(cons(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_te(cons(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_te(cons(y0, y1)))))
   ENCARG(cons(cons_sortSu(cons_te(sop(y0))), z1)) -> c1(ENCARG(cons_sortSu(cons_te(sop(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_sortSu(cons_te(sop(y0))))) -> c1(ENCARG(z0), ENCARG(cons_sortSu(cons_te(sop(y0)))))
   ENCARG(cons(cons_te(msubst(y0, cons_sortSu(y1))), z1)) -> c1(ENCARG(cons_te(msubst(y0, cons_sortSu(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, cons_sortSu(y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, cons_sortSu(y1)))))
   ENCARG(cons(cons_te(msubst(y0, cons_te(y1))), z1)) -> c1(ENCARG(cons_te(msubst(y0, cons_te(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, cons_te(y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, cons_te(y1)))))
   ENCARG(cons(cons_te(msubst(cons_sortSu(y0), y1)), z1)) -> c1(ENCARG(cons_te(msubst(cons_sortSu(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(cons_sortSu(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(cons_sortSu(y0), y1))))
   ENCARG(cons(cons_te(msubst(cons_te(y0), y1)), z1)) -> c1(ENCARG(cons_te(msubst(cons_te(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(cons_te(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(cons_te(y0), y1))))
   ENCARG(cons(cons_te(msubst(y0, y1)), z1)) -> c1(ENCARG(cons_te(msubst(y0, y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, y1))))
   ENCARG(cons(cons_te(msubst(y0, circ(y1, y2))), z1)) -> c1(ENCARG(cons_te(msubst(y0, circ(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, circ(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, circ(y1, y2)))))
   ENCARG(cons(cons_te(msubst(y0, cons(y1, y2))), z1)) -> c1(ENCARG(cons_te(msubst(y0, cons(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, cons(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, cons(y1, y2)))))
   ENCARG(cons(cons_te(msubst(y0, msubst(y1, y2))), z1)) -> c1(ENCARG(cons_te(msubst(y0, msubst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, msubst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, msubst(y1, y2)))))
   ENCARG(cons(cons_te(msubst(y0, sop(y1))), z1)) -> c1(ENCARG(cons_te(msubst(y0, sop(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, sop(y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, sop(y1)))))
   ENCARG(cons(cons_te(msubst(y0, lift)), z1)) -> c1(ENCARG(cons_te(msubst(y0, lift))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, lift)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, lift))))
   ENCARG(cons(cons_te(msubst(y0, id)), z1)) -> c1(ENCARG(cons_te(msubst(y0, id))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, id)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, id))))
   ENCARG(cons(cons_te(msubst(y0, subst(y1, y2))), z1)) -> c1(ENCARG(cons_te(msubst(y0, subst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(y0, subst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(y0, subst(y1, y2)))))
   ENCARG(cons(cons_te(msubst(circ(y0, y1), y2)), z1)) -> c1(ENCARG(cons_te(msubst(circ(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(circ(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(circ(y0, y1), y2))))
   ENCARG(cons(cons_te(msubst(cons(y0, y1), y2)), z1)) -> c1(ENCARG(cons_te(msubst(cons(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(cons(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(cons(y0, y1), y2))))
   ENCARG(cons(cons_te(msubst(msubst(y0, y1), y2)), z1)) -> c1(ENCARG(cons_te(msubst(msubst(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(msubst(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(msubst(y0, y1), y2))))
   ENCARG(cons(cons_te(msubst(sop(y0), y1)), z1)) -> c1(ENCARG(cons_te(msubst(sop(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(sop(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(sop(y0), y1))))
   ENCARG(cons(cons_te(msubst(lift, y0)), z1)) -> c1(ENCARG(cons_te(msubst(lift, y0))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(lift, y0)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(lift, y0))))
   ENCARG(cons(cons_te(msubst(id, y0)), z1)) -> c1(ENCARG(cons_te(msubst(id, y0))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(id, y0)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(id, y0))))
   ENCARG(cons(cons_te(msubst(subst(y0, y1), y2)), z1)) -> c1(ENCARG(cons_te(msubst(subst(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(msubst(subst(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_te(msubst(subst(y0, y1), y2))))
   ENCARG(cons(cons_te(subst(y0, cons_sortSu(y1))), z1)) -> c1(ENCARG(cons_te(subst(y0, cons_sortSu(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, cons_sortSu(y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, cons_sortSu(y1)))))
   ENCARG(cons(cons_te(subst(y0, cons_te(y1))), z1)) -> c1(ENCARG(cons_te(subst(y0, cons_te(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, cons_te(y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, cons_te(y1)))))
   ENCARG(cons(cons_te(subst(cons_sortSu(y0), y1)), z1)) -> c1(ENCARG(cons_te(subst(cons_sortSu(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(cons_sortSu(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(cons_sortSu(y0), y1))))
   ENCARG(cons(cons_te(subst(cons_te(y0), y1)), z1)) -> c1(ENCARG(cons_te(subst(cons_te(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(cons_te(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(cons_te(y0), y1))))
   ENCARG(cons(cons_te(subst(y0, y1)), z1)) -> c1(ENCARG(cons_te(subst(y0, y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, y1))))
   ENCARG(cons(cons_te(subst(y0, circ(y1, y2))), z1)) -> c1(ENCARG(cons_te(subst(y0, circ(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, circ(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, circ(y1, y2)))))
   ENCARG(cons(cons_te(subst(y0, cons(y1, y2))), z1)) -> c1(ENCARG(cons_te(subst(y0, cons(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, cons(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, cons(y1, y2)))))
   ENCARG(cons(cons_te(subst(y0, msubst(y1, y2))), z1)) -> c1(ENCARG(cons_te(subst(y0, msubst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, msubst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, msubst(y1, y2)))))
   ENCARG(cons(cons_te(subst(y0, sop(y1))), z1)) -> c1(ENCARG(cons_te(subst(y0, sop(y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, sop(y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, sop(y1)))))
   ENCARG(cons(cons_te(subst(y0, lift)), z1)) -> c1(ENCARG(cons_te(subst(y0, lift))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, lift)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, lift))))
   ENCARG(cons(cons_te(subst(y0, id)), z1)) -> c1(ENCARG(cons_te(subst(y0, id))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, id)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, id))))
   ENCARG(cons(cons_te(subst(y0, subst(y1, y2))), z1)) -> c1(ENCARG(cons_te(subst(y0, subst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(y0, subst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(y0, subst(y1, y2)))))
   ENCARG(cons(cons_te(subst(circ(y0, y1), y2)), z1)) -> c1(ENCARG(cons_te(subst(circ(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(circ(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(circ(y0, y1), y2))))
   ENCARG(cons(cons_te(subst(cons(y0, y1), y2)), z1)) -> c1(ENCARG(cons_te(subst(cons(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(cons(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(cons(y0, y1), y2))))
   ENCARG(cons(cons_te(subst(msubst(y0, y1), y2)), z1)) -> c1(ENCARG(cons_te(subst(msubst(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(msubst(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(msubst(y0, y1), y2))))
   ENCARG(cons(cons_te(subst(sop(y0), y1)), z1)) -> c1(ENCARG(cons_te(subst(sop(y0), y1))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(sop(y0), y1)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(sop(y0), y1))))
   ENCARG(cons(cons_te(subst(lift, y0)), z1)) -> c1(ENCARG(cons_te(subst(lift, y0))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(lift, y0)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(lift, y0))))
   ENCARG(cons(cons_te(subst(id, y0)), z1)) -> c1(ENCARG(cons_te(subst(id, y0))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(id, y0)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(id, y0))))
   ENCARG(cons(cons_te(subst(subst(y0, y1), y2)), z1)) -> c1(ENCARG(cons_te(subst(subst(y0, y1), y2))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(subst(subst(y0, y1), y2)))) -> c1(ENCARG(z0), ENCARG(cons_te(subst(subst(y0, y1), y2))))
   ENCARG(cons(cons_te(cons_sortSu(circ(y0, y1))), z1)) -> c1(ENCARG(cons_te(cons_sortSu(circ(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_sortSu(circ(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_sortSu(circ(y0, y1)))))
   ENCARG(cons(cons_te(cons_sortSu(cons_sortSu(y0))), z1)) -> c1(ENCARG(cons_te(cons_sortSu(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_sortSu(cons_sortSu(y0))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_sortSu(cons_sortSu(y0)))))
   ENCARG(cons(cons_te(cons_sortSu(cons_te(y0))), z1)) -> c1(ENCARG(cons_te(cons_sortSu(cons_te(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_sortSu(cons_te(y0))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_sortSu(cons_te(y0)))))
   ENCARG(cons(cons_te(cons_sortSu(cons(y0, y1))), z1)) -> c1(ENCARG(cons_te(cons_sortSu(cons(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_sortSu(cons(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_sortSu(cons(y0, y1)))))
   ENCARG(cons(cons_te(cons_sortSu(msubst(y0, y1))), z1)) -> c1(ENCARG(cons_te(cons_sortSu(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_sortSu(msubst(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_sortSu(msubst(y0, y1)))))
   ENCARG(cons(cons_te(cons_sortSu(sop(y0))), z1)) -> c1(ENCARG(cons_te(cons_sortSu(sop(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_sortSu(sop(y0))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_sortSu(sop(y0)))))
   ENCARG(cons(cons_te(cons_sortSu(subst(y0, y1))), z1)) -> c1(ENCARG(cons_te(cons_sortSu(subst(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_sortSu(subst(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_sortSu(subst(y0, y1)))))
   ENCARG(cons(cons_te(cons_te(msubst(y0, y1))), z1)) -> c1(ENCARG(cons_te(cons_te(msubst(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_te(msubst(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_te(msubst(y0, y1)))))
   ENCARG(cons(cons_te(cons_te(subst(y0, y1))), z1)) -> c1(ENCARG(cons_te(cons_te(subst(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_te(subst(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_te(subst(y0, y1)))))
   ENCARG(cons(cons_te(cons_te(cons_sortSu(y0))), z1)) -> c1(ENCARG(cons_te(cons_te(cons_sortSu(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_te(cons_sortSu(y0))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_te(cons_sortSu(y0)))))
   ENCARG(cons(cons_te(cons_te(cons_te(y0))), z1)) -> c1(ENCARG(cons_te(cons_te(cons_te(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_te(cons_te(y0))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_te(cons_te(y0)))))
   ENCARG(cons(cons_te(cons_te(circ(y0, y1))), z1)) -> c1(ENCARG(cons_te(cons_te(circ(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_te(circ(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_te(circ(y0, y1)))))
   ENCARG(cons(cons_te(cons_te(cons(y0, y1))), z1)) -> c1(ENCARG(cons_te(cons_te(cons(y0, y1)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_te(cons(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_te(cons(y0, y1)))))
   ENCARG(cons(cons_te(cons_te(sop(y0))), z1)) -> c1(ENCARG(cons_te(cons_te(sop(y0)))), ENCARG(z1))
   ENCARG(cons(z0, cons_te(cons_te(sop(y0))))) -> c1(ENCARG(z0), ENCARG(cons_te(cons_te(sop(y0)))))
   ENCARG(cons(circ(circ(y0, y1), y2), z1)) -> c1(ENCARG(circ(circ(y0, y1), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(circ(y0, y1), y2))) -> c1(ENCARG(z0), ENCARG(circ(circ(y0, y1), y2)))
   ENCARG(cons(circ(y0, circ(y1, y2)), z1)) -> c1(ENCARG(circ(y0, circ(y1, y2))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, circ(y1, y2)))) -> c1(ENCARG(z0), ENCARG(circ(y0, circ(y1, y2))))
   ENCARG(cons(circ(cons(y0, y1), y2), z1)) -> c1(ENCARG(circ(cons(y0, y1), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons(y0, y1), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons(y0, y1), y2)))
   ENCARG(cons(circ(y0, cons(y1, y2)), z1)) -> c1(ENCARG(circ(y0, cons(y1, y2))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons(y1, y2)))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons(y1, y2))))
   ENCARG(cons(circ(msubst(y0, y1), y2), z1)) -> c1(ENCARG(circ(msubst(y0, y1), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(msubst(y0, y1), y2))) -> c1(ENCARG(z0), ENCARG(circ(msubst(y0, y1), y2)))
   ENCARG(cons(circ(y0, msubst(y1, y2)), z1)) -> c1(ENCARG(circ(y0, msubst(y1, y2))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, msubst(y1, y2)))) -> c1(ENCARG(z0), ENCARG(circ(y0, msubst(y1, y2))))
   ENCARG(cons(circ(sop(y0), y1), z1)) -> c1(ENCARG(circ(sop(y0), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(sop(y0), y1))) -> c1(ENCARG(z0), ENCARG(circ(sop(y0), y1)))
   ENCARG(cons(circ(y0, sop(y1)), z1)) -> c1(ENCARG(circ(y0, sop(y1))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, sop(y1)))) -> c1(ENCARG(z0), ENCARG(circ(y0, sop(y1))))
   ENCARG(cons(circ(subst(y0, y1), y2), z1)) -> c1(ENCARG(circ(subst(y0, y1), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(subst(y0, y1), y2))) -> c1(ENCARG(z0), ENCARG(circ(subst(y0, y1), y2)))
   ENCARG(cons(circ(y0, subst(y1, y2)), z1)) -> c1(ENCARG(circ(y0, subst(y1, y2))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, subst(y1, y2)))) -> c1(ENCARG(z0), ENCARG(circ(y0, subst(y1, y2))))
   ENCARG(cons(circ(cons_sortSu(cons(y0, y1)), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons(y0, y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons(y0, y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons(y0, y1)), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons(y1, y2))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons(y1, y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons(y1, y2)))))
   ENCARG(cons(circ(cons_sortSu(msubst(y0, y1)), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(msubst(y0, y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(msubst(y0, y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(msubst(y0, y1)), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(msubst(y1, y2))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(msubst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(msubst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(msubst(y1, y2)))))
   ENCARG(cons(circ(cons_sortSu(sop(y0)), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(sop(y0)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(sop(y0)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(sop(y0)), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(sop(y1))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(sop(y1)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(sop(y1))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(sop(y1)))))
   ENCARG(cons(circ(cons_sortSu(subst(y0, y1)), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(subst(y0, y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(subst(y0, y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(subst(y0, y1)), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(subst(y1, y2))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(subst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(subst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(subst(y1, y2)))))
   ENCARG(cons(circ(cons_te(circ(y0, y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(circ(y0, y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(circ(y0, y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(circ(y0, y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(circ(y1, y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(circ(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(circ(y1, y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(circ(y1, y2)))))
   ENCARG(cons(circ(cons_te(cons(y0, y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(cons(y0, y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons(y0, y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons(y0, y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(cons(y1, y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons(y1, y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons(y1, y2)))))
   ENCARG(cons(circ(cons_te(sop(y0)), y1), z1)) -> c1(ENCARG(circ(cons_te(sop(y0)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(sop(y0)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(sop(y0)), y1)))
   ENCARG(cons(circ(y0, cons_te(sop(y1))), z1)) -> c1(ENCARG(circ(y0, cons_te(sop(y1)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(sop(y1))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(sop(y1)))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, cons_sortSu(y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, cons_sortSu(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, cons_sortSu(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, cons_sortSu(y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, cons_sortSu(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, cons_sortSu(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, cons_sortSu(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, cons_sortSu(y2))))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, cons_te(y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, cons_te(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, cons_te(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, cons_te(y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, cons_te(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, cons_te(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, cons_te(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, cons_te(y2))))))
   ENCARG(cons(circ(cons_sortSu(circ(cons_sortSu(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(cons_sortSu(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(cons_sortSu(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(cons_sortSu(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(cons_sortSu(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(cons_sortSu(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(cons_sortSu(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(cons_sortSu(y1), y2)))))
   ENCARG(cons(circ(cons_sortSu(circ(cons_te(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(cons_te(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(cons_te(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(cons_te(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(cons_te(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(cons_te(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(cons_te(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(cons_te(y1), y2)))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, y1)), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, y1)), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, y2))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, y2)))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, circ(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, circ(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, circ(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, circ(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, circ(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, circ(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, circ(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, circ(y2, y3))))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, cons(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, cons(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, cons(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, cons(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, cons(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, cons(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, cons(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, cons(y2, y3))))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, msubst(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, msubst(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, msubst(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, msubst(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, msubst(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, msubst(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, msubst(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, msubst(y2, y3))))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, sop(y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, sop(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, sop(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, sop(y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, sop(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, sop(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, sop(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, sop(y2))))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, lift)), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, lift)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, lift)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, lift)), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, lift))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, lift)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, lift))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, lift)))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, id)), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, id)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, id)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, id)), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, id))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, id)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, id))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, id)))))
   ENCARG(cons(circ(cons_sortSu(circ(y0, subst(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(y0, subst(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(y0, subst(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(y0, subst(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(y1, subst(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(y1, subst(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(y1, subst(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(y1, subst(y2, y3))))))
   ENCARG(cons(circ(cons_sortSu(circ(circ(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(circ(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(circ(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(circ(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(circ(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(circ(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(circ(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(circ(y1, y2), y3)))))
   ENCARG(cons(circ(cons_sortSu(circ(cons(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(cons(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(cons(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(cons(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(cons(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(cons(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(cons(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(cons(y1, y2), y3)))))
   ENCARG(cons(circ(cons_sortSu(circ(msubst(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(msubst(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(msubst(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(msubst(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(msubst(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(msubst(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(msubst(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(msubst(y1, y2), y3)))))
   ENCARG(cons(circ(cons_sortSu(circ(sop(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(sop(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(sop(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(sop(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(sop(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(sop(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(sop(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(sop(y1), y2)))))
   ENCARG(cons(circ(cons_sortSu(circ(lift, y0)), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(lift, y0)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(lift, y0)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(lift, y0)), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(lift, y1))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(lift, y1)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(lift, y1))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(lift, y1)))))
   ENCARG(cons(circ(cons_sortSu(circ(id, y0)), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(id, y0)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(id, y0)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(id, y0)), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(id, y1))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(id, y1)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(id, y1))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(id, y1)))))
   ENCARG(cons(circ(cons_sortSu(circ(subst(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_sortSu(circ(subst(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(circ(subst(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(circ(subst(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_sortSu(circ(subst(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(circ(subst(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(circ(subst(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(circ(subst(y1, y2), y3)))))
   ENCARG(cons(circ(cons_sortSu(cons_sortSu(circ(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_sortSu(circ(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_sortSu(circ(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_sortSu(circ(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_sortSu(circ(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_sortSu(circ(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_sortSu(circ(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_sortSu(circ(y1, y2))))))
   ENCARG(cons(circ(cons_sortSu(cons_sortSu(cons_sortSu(y0))), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_sortSu(cons_sortSu(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_sortSu(cons_sortSu(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_sortSu(cons_sortSu(y0))), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_sortSu(cons_sortSu(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_sortSu(cons_sortSu(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_sortSu(cons_sortSu(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_sortSu(cons_sortSu(y1))))))
   ENCARG(cons(circ(cons_sortSu(cons_sortSu(cons_te(y0))), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_sortSu(cons_te(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_sortSu(cons_te(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_sortSu(cons_te(y0))), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_sortSu(cons_te(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_sortSu(cons_te(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_sortSu(cons_te(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_sortSu(cons_te(y1))))))
   ENCARG(cons(circ(cons_sortSu(cons_sortSu(cons(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_sortSu(cons(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_sortSu(cons(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_sortSu(cons(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_sortSu(cons(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_sortSu(cons(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_sortSu(cons(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_sortSu(cons(y1, y2))))))
   ENCARG(cons(circ(cons_sortSu(cons_sortSu(msubst(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_sortSu(msubst(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_sortSu(msubst(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_sortSu(msubst(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_sortSu(msubst(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_sortSu(msubst(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_sortSu(msubst(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_sortSu(msubst(y1, y2))))))
   ENCARG(cons(circ(cons_sortSu(cons_sortSu(sop(y0))), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_sortSu(sop(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_sortSu(sop(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_sortSu(sop(y0))), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_sortSu(sop(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_sortSu(sop(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_sortSu(sop(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_sortSu(sop(y1))))))
   ENCARG(cons(circ(cons_sortSu(cons_sortSu(subst(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_sortSu(subst(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_sortSu(subst(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_sortSu(subst(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_sortSu(subst(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_sortSu(subst(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_sortSu(subst(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_sortSu(subst(y1, y2))))))
   ENCARG(cons(circ(cons_sortSu(cons_te(msubst(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_te(msubst(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_te(msubst(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_te(msubst(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_te(msubst(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_te(msubst(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_te(msubst(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_te(msubst(y1, y2))))))
   ENCARG(cons(circ(cons_sortSu(cons_te(subst(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_te(subst(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_te(subst(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_te(subst(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_te(subst(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_te(subst(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_te(subst(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_te(subst(y1, y2))))))
   ENCARG(cons(circ(cons_sortSu(cons_te(cons_sortSu(y0))), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_te(cons_sortSu(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_te(cons_sortSu(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_te(cons_sortSu(y0))), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_te(cons_sortSu(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_te(cons_sortSu(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_te(cons_sortSu(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_te(cons_sortSu(y1))))))
   ENCARG(cons(circ(cons_sortSu(cons_te(cons_te(y0))), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_te(cons_te(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_te(cons_te(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_te(cons_te(y0))), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_te(cons_te(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_te(cons_te(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_te(cons_te(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_te(cons_te(y1))))))
   ENCARG(cons(circ(cons_sortSu(cons_te(circ(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_te(circ(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_te(circ(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_te(circ(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_te(circ(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_te(circ(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_te(circ(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_te(circ(y1, y2))))))
   ENCARG(cons(circ(cons_sortSu(cons_te(cons(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_te(cons(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_te(cons(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_te(cons(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_te(cons(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_te(cons(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_te(cons(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_te(cons(y1, y2))))))
   ENCARG(cons(circ(cons_sortSu(cons_te(sop(y0))), y1), z1)) -> c1(ENCARG(circ(cons_sortSu(cons_te(sop(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_sortSu(cons_te(sop(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_sortSu(cons_te(sop(y0))), y1)))
   ENCARG(cons(circ(y0, cons_sortSu(cons_te(sop(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_sortSu(cons_te(sop(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_sortSu(cons_te(sop(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_sortSu(cons_te(sop(y1))))))
   ENCARG(cons(circ(cons_te(msubst(y0, cons_sortSu(y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, cons_sortSu(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, cons_sortSu(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, cons_sortSu(y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, cons_sortSu(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, cons_sortSu(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, cons_sortSu(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, cons_sortSu(y2))))))
   ENCARG(cons(circ(cons_te(msubst(y0, cons_te(y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, cons_te(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, cons_te(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, cons_te(y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, cons_te(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, cons_te(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, cons_te(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, cons_te(y2))))))
   ENCARG(cons(circ(cons_te(msubst(cons_sortSu(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(msubst(cons_sortSu(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(cons_sortSu(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(cons_sortSu(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(msubst(cons_sortSu(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(cons_sortSu(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(cons_sortSu(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(cons_sortSu(y1), y2)))))
   ENCARG(cons(circ(cons_te(msubst(cons_te(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(msubst(cons_te(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(cons_te(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(cons_te(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(msubst(cons_te(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(cons_te(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(cons_te(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(cons_te(y1), y2)))))
   ENCARG(cons(circ(cons_te(msubst(y0, y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, y2)))))
   ENCARG(cons(circ(cons_te(msubst(y0, circ(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, circ(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, circ(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, circ(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, circ(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, circ(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, circ(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, circ(y2, y3))))))
   ENCARG(cons(circ(cons_te(msubst(y0, cons(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, cons(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, cons(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, cons(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, cons(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, cons(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, cons(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, cons(y2, y3))))))
   ENCARG(cons(circ(cons_te(msubst(y0, msubst(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, msubst(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, msubst(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, msubst(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, msubst(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, msubst(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, msubst(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, msubst(y2, y3))))))
   ENCARG(cons(circ(cons_te(msubst(y0, sop(y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, sop(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, sop(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, sop(y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, sop(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, sop(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, sop(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, sop(y2))))))
   ENCARG(cons(circ(cons_te(msubst(y0, lift)), y1), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, lift)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, lift)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, lift)), y1)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, lift))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, lift)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, lift))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, lift)))))
   ENCARG(cons(circ(cons_te(msubst(y0, id)), y1), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, id)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, id)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, id)), y1)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, id))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, id)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, id))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, id)))))
   ENCARG(cons(circ(cons_te(msubst(y0, subst(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_te(msubst(y0, subst(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(y0, subst(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(y0, subst(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_te(msubst(y1, subst(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(y1, subst(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(y1, subst(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(y1, subst(y2, y3))))))
   ENCARG(cons(circ(cons_te(msubst(circ(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_te(msubst(circ(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(circ(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(circ(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_te(msubst(circ(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(circ(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(circ(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(circ(y1, y2), y3)))))
   ENCARG(cons(circ(cons_te(msubst(cons(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_te(msubst(cons(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(cons(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(cons(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_te(msubst(cons(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(cons(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(cons(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(cons(y1, y2), y3)))))
   ENCARG(cons(circ(cons_te(msubst(msubst(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_te(msubst(msubst(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(msubst(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(msubst(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_te(msubst(msubst(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(msubst(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(msubst(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(msubst(y1, y2), y3)))))
   ENCARG(cons(circ(cons_te(msubst(sop(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(msubst(sop(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(sop(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(sop(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(msubst(sop(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(sop(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(sop(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(sop(y1), y2)))))
   ENCARG(cons(circ(cons_te(msubst(lift, y0)), y1), z1)) -> c1(ENCARG(circ(cons_te(msubst(lift, y0)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(lift, y0)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(lift, y0)), y1)))
   ENCARG(cons(circ(y0, cons_te(msubst(lift, y1))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(lift, y1)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(lift, y1))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(lift, y1)))))
   ENCARG(cons(circ(cons_te(msubst(id, y0)), y1), z1)) -> c1(ENCARG(circ(cons_te(msubst(id, y0)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(id, y0)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(id, y0)), y1)))
   ENCARG(cons(circ(y0, cons_te(msubst(id, y1))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(id, y1)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(id, y1))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(id, y1)))))
   ENCARG(cons(circ(cons_te(msubst(subst(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_te(msubst(subst(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(msubst(subst(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(msubst(subst(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_te(msubst(subst(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_te(msubst(subst(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(msubst(subst(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(msubst(subst(y1, y2), y3)))))
   ENCARG(cons(circ(cons_te(subst(y0, cons_sortSu(y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, cons_sortSu(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, cons_sortSu(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, cons_sortSu(y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, cons_sortSu(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, cons_sortSu(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, cons_sortSu(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, cons_sortSu(y2))))))
   ENCARG(cons(circ(cons_te(subst(y0, cons_te(y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, cons_te(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, cons_te(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, cons_te(y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, cons_te(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, cons_te(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, cons_te(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, cons_te(y2))))))
   ENCARG(cons(circ(cons_te(subst(cons_sortSu(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(subst(cons_sortSu(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(cons_sortSu(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(cons_sortSu(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(subst(cons_sortSu(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(cons_sortSu(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(cons_sortSu(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(cons_sortSu(y1), y2)))))
   ENCARG(cons(circ(cons_te(subst(cons_te(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(subst(cons_te(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(cons_te(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(cons_te(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(subst(cons_te(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(cons_te(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(cons_te(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(cons_te(y1), y2)))))
   ENCARG(cons(circ(cons_te(subst(y0, y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, y2)))))
   ENCARG(cons(circ(cons_te(subst(y0, circ(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, circ(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, circ(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, circ(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, circ(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, circ(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, circ(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, circ(y2, y3))))))
   ENCARG(cons(circ(cons_te(subst(y0, cons(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, cons(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, cons(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, cons(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, cons(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, cons(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, cons(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, cons(y2, y3))))))
   ENCARG(cons(circ(cons_te(subst(y0, msubst(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, msubst(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, msubst(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, msubst(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, msubst(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, msubst(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, msubst(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, msubst(y2, y3))))))
   ENCARG(cons(circ(cons_te(subst(y0, sop(y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, sop(y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, sop(y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, sop(y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, sop(y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, sop(y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, sop(y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, sop(y2))))))
   ENCARG(cons(circ(cons_te(subst(y0, lift)), y1), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, lift)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, lift)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, lift)), y1)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, lift))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, lift)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, lift))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, lift)))))
   ENCARG(cons(circ(cons_te(subst(y0, id)), y1), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, id)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, id)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, id)), y1)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, id))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, id)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, id))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, id)))))
   ENCARG(cons(circ(cons_te(subst(y0, subst(y1, y2))), y3), z1)) -> c1(ENCARG(circ(cons_te(subst(y0, subst(y1, y2))), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(y0, subst(y1, y2))), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(y0, subst(y1, y2))), y3)))
   ENCARG(cons(circ(y0, cons_te(subst(y1, subst(y2, y3)))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(y1, subst(y2, y3))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(y1, subst(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(y1, subst(y2, y3))))))
   ENCARG(cons(circ(cons_te(subst(circ(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_te(subst(circ(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(circ(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(circ(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_te(subst(circ(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(circ(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(circ(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(circ(y1, y2), y3)))))
   ENCARG(cons(circ(cons_te(subst(cons(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_te(subst(cons(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(cons(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(cons(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_te(subst(cons(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(cons(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(cons(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(cons(y1, y2), y3)))))
   ENCARG(cons(circ(cons_te(subst(msubst(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_te(subst(msubst(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(msubst(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(msubst(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_te(subst(msubst(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(msubst(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(msubst(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(msubst(y1, y2), y3)))))
   ENCARG(cons(circ(cons_te(subst(sop(y0), y1)), y2), z1)) -> c1(ENCARG(circ(cons_te(subst(sop(y0), y1)), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(sop(y0), y1)), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(sop(y0), y1)), y2)))
   ENCARG(cons(circ(y0, cons_te(subst(sop(y1), y2))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(sop(y1), y2)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(sop(y1), y2))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(sop(y1), y2)))))
   ENCARG(cons(circ(cons_te(subst(lift, y0)), y1), z1)) -> c1(ENCARG(circ(cons_te(subst(lift, y0)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(lift, y0)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(lift, y0)), y1)))
   ENCARG(cons(circ(y0, cons_te(subst(lift, y1))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(lift, y1)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(lift, y1))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(lift, y1)))))
   ENCARG(cons(circ(cons_te(subst(id, y0)), y1), z1)) -> c1(ENCARG(circ(cons_te(subst(id, y0)), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(id, y0)), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(id, y0)), y1)))
   ENCARG(cons(circ(y0, cons_te(subst(id, y1))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(id, y1)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(id, y1))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(id, y1)))))
   ENCARG(cons(circ(cons_te(subst(subst(y0, y1), y2)), y3), z1)) -> c1(ENCARG(circ(cons_te(subst(subst(y0, y1), y2)), y3)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(subst(subst(y0, y1), y2)), y3))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(subst(subst(y0, y1), y2)), y3)))
   ENCARG(cons(circ(y0, cons_te(subst(subst(y1, y2), y3))), z1)) -> c1(ENCARG(circ(y0, cons_te(subst(subst(y1, y2), y3)))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(subst(subst(y1, y2), y3))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(subst(subst(y1, y2), y3)))))
   ENCARG(cons(circ(cons_te(cons_sortSu(circ(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(cons_sortSu(circ(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_sortSu(circ(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_sortSu(circ(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(cons_sortSu(circ(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_sortSu(circ(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_sortSu(circ(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_sortSu(circ(y1, y2))))))
   ENCARG(cons(circ(cons_te(cons_sortSu(cons_sortSu(y0))), y1), z1)) -> c1(ENCARG(circ(cons_te(cons_sortSu(cons_sortSu(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_sortSu(cons_sortSu(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_sortSu(cons_sortSu(y0))), y1)))
   ENCARG(cons(circ(y0, cons_te(cons_sortSu(cons_sortSu(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_sortSu(cons_sortSu(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_sortSu(cons_sortSu(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_sortSu(cons_sortSu(y1))))))
   ENCARG(cons(circ(cons_te(cons_sortSu(cons_te(y0))), y1), z1)) -> c1(ENCARG(circ(cons_te(cons_sortSu(cons_te(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_sortSu(cons_te(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_sortSu(cons_te(y0))), y1)))
   ENCARG(cons(circ(y0, cons_te(cons_sortSu(cons_te(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_sortSu(cons_te(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_sortSu(cons_te(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_sortSu(cons_te(y1))))))
   ENCARG(cons(circ(cons_te(cons_sortSu(cons(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(cons_sortSu(cons(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_sortSu(cons(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_sortSu(cons(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(cons_sortSu(cons(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_sortSu(cons(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_sortSu(cons(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_sortSu(cons(y1, y2))))))
   ENCARG(cons(circ(cons_te(cons_sortSu(msubst(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(cons_sortSu(msubst(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_sortSu(msubst(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_sortSu(msubst(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(cons_sortSu(msubst(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_sortSu(msubst(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_sortSu(msubst(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_sortSu(msubst(y1, y2))))))
   ENCARG(cons(circ(cons_te(cons_sortSu(sop(y0))), y1), z1)) -> c1(ENCARG(circ(cons_te(cons_sortSu(sop(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_sortSu(sop(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_sortSu(sop(y0))), y1)))
   ENCARG(cons(circ(y0, cons_te(cons_sortSu(sop(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_sortSu(sop(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_sortSu(sop(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_sortSu(sop(y1))))))
   ENCARG(cons(circ(cons_te(cons_sortSu(subst(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(cons_sortSu(subst(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_sortSu(subst(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_sortSu(subst(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(cons_sortSu(subst(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_sortSu(subst(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_sortSu(subst(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_sortSu(subst(y1, y2))))))
   ENCARG(cons(circ(cons_te(cons_te(msubst(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(cons_te(msubst(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_te(msubst(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_te(msubst(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(cons_te(msubst(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_te(msubst(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_te(msubst(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_te(msubst(y1, y2))))))
   ENCARG(cons(circ(cons_te(cons_te(subst(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(cons_te(subst(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_te(subst(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_te(subst(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(cons_te(subst(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_te(subst(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_te(subst(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_te(subst(y1, y2))))))
   ENCARG(cons(circ(cons_te(cons_te(cons_sortSu(y0))), y1), z1)) -> c1(ENCARG(circ(cons_te(cons_te(cons_sortSu(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_te(cons_sortSu(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_te(cons_sortSu(y0))), y1)))
   ENCARG(cons(circ(y0, cons_te(cons_te(cons_sortSu(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_te(cons_sortSu(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_te(cons_sortSu(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_te(cons_sortSu(y1))))))
   ENCARG(cons(circ(cons_te(cons_te(cons_te(y0))), y1), z1)) -> c1(ENCARG(circ(cons_te(cons_te(cons_te(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_te(cons_te(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_te(cons_te(y0))), y1)))
   ENCARG(cons(circ(y0, cons_te(cons_te(cons_te(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_te(cons_te(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_te(cons_te(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_te(cons_te(y1))))))
   ENCARG(cons(circ(cons_te(cons_te(circ(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(cons_te(circ(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_te(circ(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_te(circ(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(cons_te(circ(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_te(circ(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_te(circ(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_te(circ(y1, y2))))))
   ENCARG(cons(circ(cons_te(cons_te(cons(y0, y1))), y2), z1)) -> c1(ENCARG(circ(cons_te(cons_te(cons(y0, y1))), y2)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_te(cons(y0, y1))), y2))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_te(cons(y0, y1))), y2)))
   ENCARG(cons(circ(y0, cons_te(cons_te(cons(y1, y2)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_te(cons(y1, y2))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_te(cons(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_te(cons(y1, y2))))))
   ENCARG(cons(circ(cons_te(cons_te(sop(y0))), y1), z1)) -> c1(ENCARG(circ(cons_te(cons_te(sop(y0))), y1)), ENCARG(z1))
   ENCARG(cons(z0, circ(cons_te(cons_te(sop(y0))), y1))) -> c1(ENCARG(z0), ENCARG(circ(cons_te(cons_te(sop(y0))), y1)))
   ENCARG(cons(circ(y0, cons_te(cons_te(sop(y1)))), z1)) -> c1(ENCARG(circ(y0, cons_te(cons_te(sop(y1))))), ENCARG(z1))
   ENCARG(cons(z0, circ(y0, cons_te(cons_te(sop(y1)))))) -> c1(ENCARG(z0), ENCARG(circ(y0, cons_te(cons_te(sop(y1))))))
S tuples:
   SORTSU(circ(sortSu(circ(sortSu(z0), sortSu(z1))), sortSu(z2))) -> c21(SORTSU(circ(sortSu(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), SORTSU(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(z0), sortSu(id))) -> c22(SORTSU(z0))
   SORTSU(circ(sortSu(id), sortSu(z0))) -> c23(SORTSU(z0))
   TE(subst(te(z0), sortSu(id))) -> c25(TE(z0))
   TE(msubst(te(z0), sortSu(id))) -> c26(TE(z0))
   TE(msubst(te(msubst(te(z0), sortSu(z1))), sortSu(z2))) -> c27(TE(msubst(te(z0), sortSu(circ(sortSu(z1), sortSu(z2))))), TE(z0), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(te(z0), sortSu(z1))), sortSu(z2))) -> c18(TE(msubst(te(z0), sortSu(z2))), TE(z0), SORTSU(z2), SORTSU(circ(sortSu(z1), sortSu(z2))), SORTSU(z1), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(te(z1), sortSu(z2))))) -> c19(TE(z1), SORTSU(circ(sortSu(z0), sortSu(z2))), SORTSU(z0), SORTSU(z2))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(cons(sop(lift), sortSu(z1))))) -> c20(SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1))
   SORTSU(circ(sortSu(cons(sop(lift), sortSu(z0))), sortSu(circ(sortSu(cons(sop(lift), sortSu(z1))), sortSu(z2))))) -> c24(SORTSU(circ(sortSu(cons(sop(lift), sortSu(circ(sortSu(z0), sortSu(z1))))), sortSu(z2))), SORTSU(circ(sortSu(z0), sortSu(z1))), SORTSU(z0), SORTSU(z1), SORTSU(z2))
K tuples:none
Defined Rule Symbols:   encArg_1, sortSu_1, te_1

Defined Pair Symbols:   ENCARG_1, SORTSU_1, TE_1, ENCODE_SORTSU_1, ENCODE_TE_1

Compound Symbols:   c2_2, c3_1, c6_2, c21_5, c22_1, c23_1, c25_1, c26_1, c27_5, c18_6, c19_4, c20_3, c24_5, c7_1, c8_1, c7_2, c8_2, c4_1, c_2, c1_2