61.78/60.03 sh: line 1: 61435 Alarm clock /export/starexec/sandbox/solver/bin/yices 2> /dev/null 61.78/60.04 sh: line 1: 61459 Alarm clock /export/starexec/sandbox/solver/bin/yices 2> /dev/null 61.78/60.05 MAYBE 61.78/60.05 (ignored inputs)COMMENT submitted by: Johannes Waldmann 61.78/60.05 Rewrite Rules: 61.78/60.05 [ a(b(?x)) -> b(c(?x)), 61.78/60.05 c(b(?x)) -> b(c(?x)), 61.78/60.05 c(b(?x)) -> c(c(?x)), 61.78/60.05 b(b(?x)) -> a(c(?x)), 61.78/60.05 a(b(?x)) -> a(b(?x)), 61.78/60.05 c(c(?x)) -> c(b(?x)), 61.78/60.05 a(c(?x)) -> c(a(?x)) ] 61.78/60.05 Apply Direct Methods... 61.78/60.05 Inner CPs: 61.78/60.05 [ a(a(c(?x_3))) = b(c(b(?x_3))), 61.78/60.05 c(a(c(?x_3))) = b(c(b(?x_3))), 61.78/60.05 c(a(c(?x_3))) = c(c(b(?x_3))), 61.78/60.05 a(a(c(?x_3))) = a(b(b(?x_3))), 61.78/60.05 c(b(c(?x_1))) = c(b(b(?x_1))), 61.78/60.05 c(c(c(?x_2))) = c(b(b(?x_2))), 61.78/60.05 a(b(c(?x_1))) = c(a(b(?x_1))), 61.78/60.05 a(c(c(?x_2))) = c(a(b(?x_2))), 61.78/60.05 a(c(b(?x_5))) = c(a(c(?x_5))), 61.78/60.05 b(a(c(?x))) = a(c(b(?x))), 61.78/60.05 c(c(b(?x))) = c(b(c(?x))) ] 61.78/60.05 Outer CPs: 61.78/60.05 [ b(c(?x)) = a(b(?x)), 61.78/60.05 b(c(?x_1)) = c(c(?x_1)) ] 61.78/60.05 not Overlay, check Termination... 61.78/60.05 unknown/not Terminating 61.78/60.05 unknown Knuth & Bendix 61.78/60.05 Linear 61.78/60.05 unknown Development Closed 61.78/60.05 unknown Strongly Closed 61.78/60.05 unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow 61.78/60.05 unknown Upside-Parallel-Closed/Outside-Closed 61.78/60.05 (inner) Parallel CPs: (not computed) 61.78/60.05 unknown Toyama (Parallel CPs) 61.78/60.05 Simultaneous CPs: 61.78/60.05 [ a(b(?x)) = b(c(?x)), 61.78/60.05 a(a(c(?x_4))) = b(c(b(?x_4))), 61.78/60.05 c(c(?x)) = b(c(?x)), 61.78/60.05 c(a(c(?x_4))) = b(c(b(?x_4))), 61.78/60.05 c(b(a(c(?x_4)))) = c(b(c(b(?x_4)))), 61.78/60.05 c(a(a(c(?x_4)))) = a(b(c(b(?x_4)))), 61.78/60.05 c(b(b(?x))) = c(b(c(?x))), 61.78/60.05 c(a(b(?x))) = a(b(c(?x))), 61.78/60.05 b(c(?x)) = c(c(?x)), 61.78/60.05 c(a(c(?x_4))) = c(c(b(?x_4))), 61.78/60.05 c(b(a(c(?x_4)))) = c(c(c(b(?x_4)))), 61.78/60.05 c(a(a(c(?x_4)))) = a(c(c(b(?x_4)))), 61.78/60.05 c(b(b(?x))) = c(c(c(?x))), 61.78/60.05 c(a(b(?x))) = a(c(c(?x))), 61.78/60.05 b(a(c(?x_1))) = a(c(b(?x_1))), 61.78/60.05 a(c(a(c(?x_1)))) = b(a(c(b(?x_1)))), 61.78/60.05 b(c(a(c(?x_1)))) = a(a(c(b(?x_1)))), 61.78/60.05 b(c(a(c(?x_1)))) = c(a(c(b(?x_1)))), 61.78/60.05 c(c(a(c(?x_1)))) = c(a(c(b(?x_1)))), 61.78/60.05 a(b(a(c(?x_1)))) = a(a(c(b(?x_1)))), 61.78/60.05 a(c(b(?x))) = b(a(c(?x))), 61.78/60.05 b(c(b(?x))) = a(a(c(?x))), 61.78/60.05 b(c(b(?x))) = c(a(c(?x))), 61.78/60.05 c(c(b(?x))) = c(a(c(?x))), 61.78/60.05 a(b(b(?x))) = a(a(c(?x))), 61.78/60.05 b(c(?x)) = a(b(?x)), 61.78/60.05 a(a(c(?x_5))) = a(b(b(?x_5))), 61.78/60.05 c(c(b(?x_1))) = c(b(c(?x_1))), 61.78/60.05 c(b(c(?x_3))) = c(b(b(?x_3))), 61.78/60.05 c(c(c(?x_4))) = c(b(b(?x_4))), 61.78/60.05 c(b(c(b(?x_1)))) = c(c(b(c(?x_1)))), 61.78/60.05 c(b(b(c(?x_3)))) = c(c(b(b(?x_3)))), 61.78/60.05 c(b(c(c(?x_4)))) = c(c(b(b(?x_4)))), 61.78/60.05 c(a(c(b(?x_1)))) = a(c(b(c(?x_1)))), 61.78/60.05 c(a(b(c(?x_3)))) = a(c(b(b(?x_3)))), 61.78/60.05 c(a(c(c(?x_4)))) = a(c(b(b(?x_4)))), 61.78/60.05 c(b(c(?x))) = c(c(b(?x))), 61.78/60.05 c(a(c(?x))) = a(c(b(?x))), 61.78/60.05 a(b(c(?x_3))) = c(a(b(?x_3))), 61.78/60.05 a(c(c(?x_4))) = c(a(b(?x_4))), 61.78/60.05 a(c(b(?x_7))) = c(a(c(?x_7))) ] 61.78/60.05 unknown Okui (Simultaneous CPs) 61.78/60.05 unknown Strongly Depth-Preserving & Root-E-Closed/Non-E-Overlapping 61.78/60.05 unknown Strongly Weight-Preserving & Root-E-Closed/Non-E-Overlapping 61.78/60.05 check Locally Decreasing Diagrams by Rule Labelling... 61.78/60.05 Critical Pair by Rules <3, 0> preceded by [(a,1)] 61.78/60.05 unknown Diagram Decreasing 61.78/60.05 check Non-Confluence... 61.78/60.05 obtain 10 rules by 3 steps unfolding 61.78/60.05 obtain 100 candidates for checking non-joinability 61.78/60.05 check by TCAP-Approximation (failure) 61.78/60.05 check by Ordering(rpo), check by Tree-Automata Approximation (failure) 61.78/60.05 check by Interpretation(mod2) (failure) 61.78/60.05 check by Descendants-Approximation, check by Ordering(poly) (failure) 61.78/60.05 unknown Non-Confluence 61.78/60.05 unknown Huet (modulo AC) 61.78/60.05 check by Reduction-Preserving Completion... 61.78/60.05 STEP: 1 (parallel) 61.78/60.05 S: 61.78/60.05 [ a(b(?x)) -> b(c(?x)), 61.78/60.05 c(b(?x)) -> b(c(?x)), 61.78/60.05 b(b(?x)) -> a(c(?x)), 61.78/60.05 a(c(?x)) -> c(a(?x)) ] 61.78/60.05 P: 61.78/60.05 [ c(b(?x)) -> c(c(?x)), 61.78/60.05 a(b(?x)) -> a(b(?x)), 61.78/60.05 c(c(?x)) -> c(b(?x)) ] 61.78/60.05 S: terminating 61.78/60.05 CP(S,S): 61.78/60.05 --> => no 61.78/60.05 --> => yes 61.78/60.05 --> => no 61.78/60.05 --> => yes 61.78/60.05 PCP_in(symP,S): 61.78/60.05 --> => no 61.78/60.05 --> => no 61.78/60.05 CP(S,symP): 61.78/60.05 --> => yes 61.78/60.05 --> => no 61.78/60.05 --> => no 61.78/60.05 --> => yes 61.78/60.05 --> => no 61.78/60.05 check joinability condition: 61.78/60.05 check modulo joinability of c(a(a(?x_2))) and c(c(a(?x_2))): maybe not joinable 61.78/60.05 check modulo joinability of b(c(a(?x))) and b(c(c(?x))): joinable by {0} 61.78/60.05 check modulo joinability of c(c(a(?x_3))) and b(c(c(?x_3))): joinable by {0} 61.78/60.05 check modulo joinability of b(c(c(?x_1))) and c(c(a(?x_1))): joinable by {0} 61.78/60.05 check modulo joinability of b(c(c(?x))) and c(c(a(?x))): joinable by {0} 61.78/60.05 check modulo reachablity from b(c(?x)) to c(c(?x)): maybe not reachable 61.78/60.05 check modulo joinability of c(c(a(?x))) and b(c(c(?x))): joinable by {0} 61.78/60.05 failed 61.78/60.05 failure(Step 1) 61.78/60.05 [ c(c(?x)) -> b(c(?x)) ] 61.78/60.05 Added S-Rules: 61.78/60.05 [ c(c(?x)) -> b(c(?x)) ] 61.78/60.05 Added P-Rules: 61.78/60.05 [ ] 61.78/60.05 STEP: 2 (linear) 61.78/60.05 S: 61.78/60.05 [ a(b(?x)) -> b(c(?x)), 61.78/60.05 c(b(?x)) -> b(c(?x)), 61.78/60.05 b(b(?x)) -> a(c(?x)), 61.78/60.05 a(c(?x)) -> c(a(?x)) ] 61.78/60.05 P: 61.78/60.05 [ c(b(?x)) -> c(c(?x)), 61.78/60.05 a(b(?x)) -> a(b(?x)), 61.78/60.05 c(c(?x)) -> c(b(?x)) ] 61.78/60.05 S: terminating 61.78/60.05 CP(S,S): 61.78/60.05 --> => no 61.78/60.05 --> => yes 61.78/60.05 --> => no 61.78/60.05 --> => yes 61.78/60.05 CP_in(symP,S): 61.78/60.05 --> => no 61.78/60.05 --> => no 61.78/60.05 CP(S,symP): 61.78/60.05 --> => yes 61.78/60.05 --> => no 61.78/60.05 --> => no 61.78/60.05 --> => yes 61.78/60.05 --> => no 61.78/60.05 check joinability condition: 61.78/60.05 check modulo joinability of c(a(a(?x_2))) and c(c(a(?x_2))): maybe not joinable 61.78/60.05 check modulo joinability of b(c(a(?x))) and b(c(c(?x))): maybe not joinable 61.78/60.05 check modulo joinability of b(c(c(?x))) and c(c(a(?x))): joinable by {0} 61.78/60.05 check modulo joinability of c(c(a(?x))) and b(c(c(?x))): joinable by {0} 61.78/60.05 check modulo joinability of b(c(c(?x))) and c(c(a(?x))): joinable by {0} 61.78/60.05 check modulo reachablity from b(c(?x)) to c(c(?x)): maybe not reachable 61.78/60.05 check modulo joinability of c(c(a(?x))) and b(c(c(?x))): joinable by {0} 61.78/60.05 failed 61.78/60.05 failure(Step 2) 61.78/60.05 [ c(c(?x)) -> b(c(?x)) ] 61.78/60.05 Added S-Rules: 61.78/60.05 [ c(c(?x)) -> b(c(?x)) ] 61.78/60.05 Added P-Rules: 61.78/60.05 [ ] 61.78/60.05 STEP: 3 (relative) 61.78/60.05 S: 61.78/60.05 [ a(b(?x)) -> b(c(?x)), 61.78/60.05 c(b(?x)) -> b(c(?x)), 61.78/60.05 b(b(?x)) -> a(c(?x)), 61.78/60.05 a(c(?x)) -> c(a(?x)) ] 61.78/60.05 P: 61.78/60.05 [ c(b(?x)) -> c(c(?x)), 61.78/60.05 a(b(?x)) -> a(b(?x)), 61.78/60.05 c(c(?x)) -> c(b(?x)) ] 61.78/60.05 Check relative termination: 61.78/60.05 [ a(b(?x)) -> b(c(?x)), 61.78/60.05 c(b(?x)) -> b(c(?x)), 61.78/60.05 b(b(?x)) -> a(c(?x)), 61.78/60.05 a(c(?x)) -> c(a(?x)) ] 61.78/60.05 [ c(b(?x)) -> c(c(?x)), 61.78/60.05 a(b(?x)) -> a(b(?x)), 61.78/60.05 c(c(?x)) -> c(b(?x)) ] 61.78/60.05 Polynomial Interpretation: 61.78/60.05 a:= (2)+(2)*x1 61.78/60.05 b:= (2)*x1 61.78/60.05 c:= (2)*x1 61.78/60.05 retract a(b(?x)) -> b(c(?x)) 61.78/60.05 Polynomial Interpretation: 61.78/60.05 a:= (2)*x1 61.78/60.05 b:= (3)+(2)*x1 61.78/60.05 c:= (2)*x1 61.78/60.05 retract a(b(?x)) -> b(c(?x)) 61.78/60.05 retract c(b(?x)) -> b(c(?x)) 61.78/60.05 retract b(b(?x)) -> a(c(?x)) 61.78/60.05 retract c(b(?x)) -> c(c(?x)) 61.78/60.05 Polynomial Interpretation: 61.78/60.05 a:= (1)*x1*x1 61.78/60.05 b:= (2)+(2)*x1+(1)*x1*x1 61.78/60.05 c:= (2)+(2)*x1+(1)*x1*x1 61.78/60.05 relatively terminating 61.78/60.05 S/P: relatively terminating 61.78/60.05 check CP condition: 61.78/60.05 failed 61.78/60.05 failure(Step 3) 61.78/60.05 STEP: 4 (parallel) 61.78/60.05 S: 61.78/60.05 [ a(b(?x)) -> b(c(?x)), 61.78/60.05 c(b(?x)) -> b(c(?x)), 61.78/60.05 b(b(?x)) -> a(c(?x)), 61.78/60.05 a(c(?x)) -> c(a(?x)), 61.78/60.05 c(c(?x)) -> b(c(?x)) ] 61.78/60.05 P: 61.78/60.05 [ c(b(?x)) -> c(c(?x)), 61.78/60.05 a(b(?x)) -> a(b(?x)), 61.78/60.05 c(c(?x)) -> c(b(?x)) ] 61.78/60.05 S: unknown termination 61.78/60.05 failure(Step 4) 61.78/60.05 STEP: 5 (linear) 61.78/60.05 S: 61.78/60.05 [ a(b(?x)) -> b(c(?x)), 61.78/60.05 c(b(?x)) -> b(c(?x)), 61.78/60.05 b(b(?x)) -> a(c(?x)), 61.78/60.05 a(c(?x)) -> c(a(?x)), 61.78/60.05 c(c(?x)) -> b(c(?x)) ] 61.78/60.05 P: 61.78/60.05 [ c(b(?x)) -> c(c(?x)), 61.78/60.05 a(b(?x)) -> a(b(?x)), 61.78/60.05 c(c(?x)) -> c(b(?x)) ] 61.78/60.05 S: unknown termination 61.78/60.05 failure(Step 5) 61.78/60.05 STEP: 6 (relative) 61.78/60.05 S: 61.78/60.05 [ a(b(?x)) -> b(c(?x)), 61.78/60.05 c(b(?x)) -> b(c(?x)), 61.78/60.05 b(b(?x)) -> a(c(?x)), 61.78/60.05 a(c(?x)) -> c(a(?x)), 61.78/60.05 c(c(?x)) -> b(c(?x)) ] 61.78/60.05 P: 61.78/60.05 [ c(b(?x)) -> c(c(?x)), 61.78/60.05 a(b(?x)) -> a(b(?x)), 61.78/60.05 c(c(?x)) -> c(b(?x)) ] 61.78/60.05 Check relative termination: 61.78/60.05 [ a(b(?x)) -> b(c(?x)), 61.78/60.05 c(b(?x)) -> b(c(?x)), 61.78/60.05 b(b(?x)) -> a(c(?x)), 61.78/60.05 a(c(?x)) -> c(a(?x)), 61.78/60.05 c(c(?x)) -> b(c(?x)) ] 61.78/60.05 [ c(b(?x)) -> c(c(?x)), 61.78/60.05 a(b(?x)) -> a(b(?x)), 61.78/60.05 c(c(?x)) -> c(b(?x)) ] 61.78/60.05 Polynomial Interpretation: 61.78/60.05 a:= (2)*x1*x1 61.78/60.05 b:= (1)+(2)*x1*x1 61.78/60.05 c:= (1)+(2)*x1*x1 61.78/60.05 retract b(b(?x)) -> a(c(?x)) 61.78/60.05 retract a(c(?x)) -> c(a(?x)) 61.78/60.05 Polynomial Interpretation: 61.78/60.05 a:= (1)+(1)*x1+(2)*x1*x1 61.78/60.05 b:= (1)+(2)*x1*x1 61.78/60.05 c:= (1)+(2)*x1*x1 61.78/60.05 retract a(b(?x)) -> b(c(?x)) 61.78/60.05 retract b(b(?x)) -> a(c(?x)) 61.78/60.05 retract a(c(?x)) -> c(a(?x)) 61.78/60.05 Polynomial Interpretation: 61.78/60.05 a:= (1)+(2)*x1 61.78/60.05 b:= (2)+(2)*x1 61.78/60.05 c:= (2)*x1 61.78/60.05 retract a(b(?x)) -> b(c(?x)) 61.78/60.05 retract c(b(?x)) -> b(c(?x)) 61.78/60.05 retract b(b(?x)) -> a(c(?x)) 61.78/60.05 retract a(c(?x)) -> c(a(?x)) 61.78/60.05 retract c(b(?x)) -> c(c(?x)) 61.78/60.05 Polynomial Interpretation: 61.78/60.05 a:= (2)*x1 61.78/60.05 b:= (1)*x1 61.78/60.05 c:= (1)+(1)*x1 61.78/60.05 relatively terminating 61.78/60.05 S/P: relatively terminating 61.78/60.05 check CP condition: 61.78/60.05 /export/starexec/sandbox/benchmark/theBenchmark.trs: Failure(timeout) 61.78/60.05 (43648 msec.) 61.78/60.05 EOF