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TRS Equational pair #487523199
details
property
value
status
complete
benchmark
AC21.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.46042084694 seconds
cpu usage
15.08980158
max memory
1.058729984E9
stage attributes
key
value
output-size
99484
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) EquationalDependencyPairsProof [EQUIVALENT, 366 ms] (2) EDP (3) EDependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) EDP (6) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (7) EDP (8) EUsableRulesReductionPairsProof [EQUIVALENT, 9 ms] (9) EDP (10) EDPProblemToQDPProblemProof [EQUIVALENT, 0 ms] (11) QDP (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] (13) YES (14) EDP (15) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (16) EDP (17) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (18) EDP (19) EDPProblemToQDPProblemProof [EQUIVALENT, 0 ms] (20) QDP (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] (22) YES (23) EDP (24) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (25) EDP (26) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (27) EDP (28) PisEmptyProof [EQUIVALENT, 0 ms] (29) YES (30) EDP (31) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (32) EDP (33) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (34) EDP (35) EDPProblemToQDPProblemProof [EQUIVALENT, 0 ms] (36) QDP (37) QDPSizeChangeProof [EQUIVALENT, 0 ms] (38) YES (39) EDP (40) ESharpUsableEquationsProof [EQUIVALENT, 214 ms] (41) EDP (42) EUsableRulesReductionPairsProof [EQUIVALENT, 153 ms] (43) EDP (44) ERuleRemovalProof [EQUIVALENT, 0 ms] (45) EDP (46) EDPPoloProof [EQUIVALENT, 21 ms] (47) EDP (48) PisEmptyProof [EQUIVALENT, 0 ms] (49) YES (50) EDP (51) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (52) EDP (53) EDPPoloProof [EQUIVALENT, 278 ms] (54) EDP (55) EDPPoloProof [EQUIVALENT, 223 ms] (56) EDP (57) EDPPoloProof [EQUIVALENT, 142 ms] (58) EDP (59) EDPPoloProof [EQUIVALENT, 6 ms] (60) EDP (61) PisEmptyProof [EQUIVALENT, 0 ms] (62) YES ---------------------------------------- (0) Obligation: Equational rewrite system: The TRS R consists of the following rules: 0(S) -> S plus(S, x) -> x plus(0(x), 0(y)) -> 0(plus(x, y)) plus(0(x), 1(y)) -> 1(plus(x, y)) plus(0(x), j(y)) -> j(plus(x, y)) plus(1(x), 1(y)) -> j(plus(1(S), plus(x, y))) plus(j(x), j(y)) -> 1(plus(j(S), plus(x, y))) plus(1(x), j(y)) -> 0(plus(x, y)) opp(S) -> S opp(0(x)) -> 0(opp(x)) opp(1(x)) -> j(opp(x)) opp(j(x)) -> 1(opp(x)) minus(x, y) -> plus(opp(y), x) times(S, x) -> S times(0(x), y) -> 0(times(x, y))
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