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TRS Equational pair #487523193
details
property
value
status
complete
benchmark
AC54.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)
2.86977100372 seconds
cpu usage
7.335115397
max memory
4.34413568E8
stage attributes
key
value
output-size
39901
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) EquationalDependencyPairsProof [EQUIVALENT, 0 ms] (2) EDP (3) EDependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) EDP (6) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (7) EDP (8) EUsableRulesReductionPairsProof [EQUIVALENT, 3 ms] (9) EDP (10) PisEmptyProof [EQUIVALENT, 0 ms] (11) YES (12) EDP (13) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (14) EDP (15) ERuleRemovalProof [EQUIVALENT, 0 ms] (16) EDP (17) EDPPoloProof [EQUIVALENT, 0 ms] (18) EDP (19) PisEmptyProof [EQUIVALENT, 0 ms] (20) YES (21) EDP (22) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (23) EDP (24) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (25) EDP (26) PisEmptyProof [EQUIVALENT, 0 ms] (27) YES (28) EDP (29) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (30) EDP (31) EUsableRulesReductionPairsProof [EQUIVALENT, 28 ms] (32) EDP (33) ERuleRemovalProof [EQUIVALENT, 0 ms] (34) EDP (35) ERuleRemovalProof [EQUIVALENT, 13 ms] (36) EDP (37) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (38) EDP (39) EDPProblemToQDPProblemProof [EQUIVALENT, 0 ms] (40) QDP (41) UsableRulesProof [EQUIVALENT, 0 ms] (42) QDP (43) MRRProof [EQUIVALENT, 6 ms] (44) QDP (45) DependencyGraphProof [EQUIVALENT, 0 ms] (46) TRUE (47) EDP (48) ESharpUsableEquationsProof [EQUIVALENT, 1 ms] (49) EDP (50) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (51) EDP (52) PisEmptyProof [EQUIVALENT, 0 ms] (53) YES (54) EDP (55) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (56) EDP (57) EDPPoloProof [EQUIVALENT, 0 ms] (58) EDP (59) PisEmptyProof [EQUIVALENT, 0 ms] (60) YES ---------------------------------------- (0) Obligation: Equational rewrite system: The TRS R consists of the following rules: minus(x, 0) -> x minus(s(x), s(y)) -> minus(x, y) minus(minus(x, y), z) -> minus(x, plus(y, z)) quot(0, s(y)) -> 0 quot(s(x), s(y)) -> s(quot(minus(x, y), s(y))) plus(0, y) -> y plus(s(x), y) -> s(plus(x, y)) app(nil, k) -> k app(l, nil) -> l app(cons(x, l), k) -> cons(x, app(l, k)) sum(cons(x, nil)) -> cons(x, nil) sum(cons(x, cons(y, l))) -> sum(cons(plus(x, y), l)) sum(app(l, cons(x, cons(y, k)))) -> sum(app(l, sum(cons(x, cons(y, k))))) The set E consists of the following equations: plus(x, y) == plus(y, x)
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