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TRS Equat 89423 pair #381732792
details
property
value
status
complete
benchmark
AC07.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n102.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.10024118423 seconds
cpu usage
4.686840453
max memory
2.66186752E8
stage attributes
key
value
output-size
24258
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) RRRPoloETRSProof [EQUIVALENT, 160 ms] (2) ETRS (3) RRRPoloETRSProof [EQUIVALENT, 37 ms] (4) ETRS (5) EquationalDependencyPairsProof [EQUIVALENT, 0 ms] (6) EDP (7) EDependencyGraphProof [EQUIVALENT, 0 ms] (8) AND (9) EDP (10) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (11) EDP (12) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (13) EDP (14) PisEmptyProof [EQUIVALENT, 0 ms] (15) YES (16) EDP (17) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (18) EDP (19) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (20) EDP (21) EDPProblemToQDPProblemProof [EQUIVALENT, 0 ms] (22) QDP (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] (24) YES (25) EDP (26) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (27) EDP (28) ERuleRemovalProof [EQUIVALENT, 11 ms] (29) EDP (30) EDPPoloProof [EQUIVALENT, 0 ms] (31) EDP (32) PisEmptyProof [EQUIVALENT, 0 ms] (33) YES (34) EDP (35) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (36) EDP (37) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (38) EDP (39) PisEmptyProof [EQUIVALENT, 0 ms] (40) YES ---------------------------------------- (0) Obligation: Equational rewrite system: The TRS R consists of the following rules: sum(x, y) -> S(int(x, y)) S(nil) -> 0 S(cons(x, xs)) -> plus(x, S(xs)) plus(x, 0) -> x plus(x, s(y)) -> s(plus(x, y)) int(0, 0) -> cons(0, nil) int(0, s(y)) -> cons(0, int(s(0), s(y))) int(s(x), 0) -> nil int(s(x), s(y)) -> intlist(int(x, y)) intlist(nil) -> nil intlist(cons(x, y)) -> cons(s(x), intlist(y)) The set E consists of the following equations: plus(x, y) == plus(y, x) plus(plus(x, y), z) == plus(x, plus(y, z)) ---------------------------------------- (1) RRRPoloETRSProof (EQUIVALENT) The following E TRS is given: Equational rewrite system: The TRS R consists of the following rules: sum(x, y) -> S(int(x, y)) S(nil) -> 0 S(cons(x, xs)) -> plus(x, S(xs)) plus(x, 0) -> x plus(x, s(y)) -> s(plus(x, y)) int(0, 0) -> cons(0, nil) int(0, s(y)) -> cons(0, int(s(0), s(y))) int(s(x), 0) -> nil int(s(x), s(y)) -> intlist(int(x, y)) intlist(nil) -> nil intlist(cons(x, y)) -> cons(s(x), intlist(y)) The set E consists of the following equations:
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