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TRS Stand 20472 pair #381714788
details
property
value
status
complete
benchmark
Ex15_Luc98_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n002.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.98865914345 seconds
cpu usage
8.455900753
max memory
4.64687104E8
stage attributes
key
value
output-size
45751
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 22 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) QDP (6) UsableRulesProof [EQUIVALENT, 0 ms] (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) UsableRulesProof [EQUIVALENT, 0 ms] (12) QDP (13) QDPSizeChangeProof [EQUIVALENT, 0 ms] (14) YES (15) QDP (16) UsableRulesProof [EQUIVALENT, 0 ms] (17) QDP (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] (19) YES (20) QDP (21) UsableRulesProof [EQUIVALENT, 0 ms] (22) QDP (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] (24) YES (25) QDP (26) UsableRulesProof [EQUIVALENT, 0 ms] (27) QDP (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] (29) YES (30) QDP (31) UsableRulesProof [EQUIVALENT, 2 ms] (32) QDP (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] (34) YES (35) QDP (36) UsableRulesProof [EQUIVALENT, 0 ms] (37) QDP (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] (39) YES (40) QDP (41) QDPOrderProof [EQUIVALENT, 219 ms] (42) QDP (43) QDPOrderProof [EQUIVALENT, 0 ms] (44) QDP (45) UsableRulesProof [EQUIVALENT, 0 ms] (46) QDP (47) DependencyGraphProof [EQUIVALENT, 0 ms] (48) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(and(true, X)) -> mark(X) active(and(false, Y)) -> mark(false) active(if(true, X, Y)) -> mark(X) active(if(false, X, Y)) -> mark(Y) active(add(0, X)) -> mark(X) active(add(s(X), Y)) -> mark(s(add(X, Y))) active(first(0, X)) -> mark(nil) active(first(s(X), cons(Y, Z))) -> mark(cons(Y, first(X, Z))) active(from(X)) -> mark(cons(X, from(s(X)))) mark(and(X1, X2)) -> active(and(mark(X1), X2)) mark(true) -> active(true) mark(false) -> active(false) mark(if(X1, X2, X3)) -> active(if(mark(X1), X2, X3)) mark(add(X1, X2)) -> active(add(mark(X1), X2)) mark(0) -> active(0) mark(s(X)) -> active(s(X)) mark(first(X1, X2)) -> active(first(mark(X1), mark(X2))) mark(nil) -> active(nil) mark(cons(X1, X2)) -> active(cons(X1, X2)) mark(from(X)) -> active(from(X)) and(mark(X1), X2) -> and(X1, X2) and(X1, mark(X2)) -> and(X1, X2) and(active(X1), X2) -> and(X1, X2) and(X1, active(X2)) -> and(X1, X2) if(mark(X1), X2, X3) -> if(X1, X2, X3) if(X1, mark(X2), X3) -> if(X1, X2, X3) if(X1, X2, mark(X3)) -> if(X1, X2, X3) if(active(X1), X2, X3) -> if(X1, X2, X3) if(X1, active(X2), X3) -> if(X1, X2, X3)
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