0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.06 % Command : run_mrs /export/starexec/sandbox/benchmark/theBenchmark.p 180 0.17/0.43 % Computer : n028.cluster.edu 0.17/0.43 % Model : x86_64 x86_64 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.43 % Memory : 8046.5625MB 0.17/0.43 % OS : Linux 6.8.0-71-generic 0.17/0.43 % CPULimit : 1440 0.17/0.43 % WCLimit : 180 0.17/0.43 % DateTime : Mon Jul 27 09:39:17 UTC 2026 0.17/0.44 % CPUTime : 0.17/0.44 Running run_mrs /export/starexec/sandbox/benchmark/theBenchmark.p 180 0.17/0.46 % Resolved 2 include directive(s) 0.17/0.46 % Problem: theBenchmark (47 axioms, 1 conjectures, 0 cnf clauses) 0.17/0.46 % Auto schedule: chose portfolio 'casc_feq' 295.29/44.92 % SZS status Theorem for theBenchmark 295.29/44.92 % SZS output start Proof for theBenchmark 295.29/44.92 fof(c299, conjecture, ~(holdsAt(backwards, n3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', not_backwards_3)). 295.29/44.92 fof(c189, axiom, ![X0]: (![X1]: (![X2]: (((happens(X0, X1) & terminates(X0, X2, X1)) => ~(holdsAt(X2, plus(X1, n1))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', happens_terminates_not_holds)). 295.29/44.92 fof(c44, axiom, n3 = plus(n1, n2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', plus1_2)). 295.29/44.92 fof(c300, negated_conjecture, ~(~(holdsAt(backwards, n3))), inference(negated_conjecture, [status(cth)], [c299])). 295.29/44.92 fof(c190, plain, ![X0]: (![X1]: (![X2]: (((~(happens(X0, X1)) | ~(terminates(X0, X2, X1))) | ~(holdsAt(X2, plus(X1, n1))))))), inference(fof_nnf_transformation, [status(thm)], [c189])). 295.29/44.92 fof(c45, plain, n3 = plus(n1, n2), inference(fof_nnf_transformation, [status(thm)], [c44])). 295.29/44.92 fof(c301, plain, holdsAt(backwards, n3), inference(fof_nnf_transformation, [status(thm)], [c300])). 295.29/44.92 fof(c191, plain, ![X0]: (![X1]: (![X2]: (((~(happens(X0, X1)) | ~(terminates(X0, X2, X1))) | ~(holdsAt(X2, plus(X1, n1))))))), inference(skolemisation, [status(esa)], [c190])). 295.29/44.92 fof(c46, plain, n3 = plus(n1, n2), inference(skolemisation, [status(esa)], [c45])). 295.29/44.92 fof(c212, axiom, ![X0]: (![X1]: (![X2]: (((((((((pull = X0 & X1 = forwards) & ~(happens(push, X2))) | ((~(happens(push, X2)) & X1 = spinning) & pull = X0)) | ((push = X0 & spinning = X1) & ~(happens(pull, X2)))) | ((pull = X0 & happens(push, X2)) & X1 = backwards)) | ((happens(push, X2) & forwards = X1) & X0 = pull)) | ((X0 = push & X1 = backwards) & ~(happens(pull, X2)))) <=> terminates(X0, X1, X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', terminates_all_defn)). 295.29/44.92 fof(c302, plain, holdsAt(backwards, n3), inference(skolemisation, [status(esa)], [c301])). 295.29/44.92 cnf(c192, plain, ~happens(X0, X1) | ~terminates(X0, X2, X1) | ~holdsAt(X2, plus(X1, n1)), inference(cnf_transformation, [status(thm)], [c191])). 295.29/44.92 cnf(c47, plain, n3 = plus(n1, n2), inference(cnf_transformation, [status(thm)], [c46])). 295.29/44.92 fof(c213, plain, ![X0]: (![X1]: (![X2]: ((((((((((~(pull = X0) | ~(X1 = forwards)) | happens(push, X2)) & ((happens(push, X2) | ~(X1 = spinning)) | ~(pull = X0))) & ((~(push = X0) | ~(spinning = X1)) | happens(pull, X2))) & ((~(pull = X0) | ~(happens(push, X2))) | ~(X1 = backwards))) & ((~(happens(push, X2)) | ~(forwards = X1)) | ~(X0 = pull))) & ((~(X0 = push) | ~(X1 = backwards)) | happens(pull, X2))) | terminates(X0, X1, X2)) & ((((((((pull = X0 & X1 = forwards) & ~(happens(push, X2))) | ((~(happens(push, X2)) & X1 = spinning) & pull = X0)) | ((push = X0 & spinning = X1) & ~(happens(pull, X2)))) | ((pull = X0 & happens(push, X2)) & X1 = backwards)) | ((happens(push, X2) & forwards = X1) & X0 = pull)) | ((X0 = push & X1 = backwards) & ~(happens(pull, X2)))) | ~(terminates(X0, X1, X2))))))), inference(fof_nnf_transformation, [status(thm)], [c212])). 295.29/44.92 cnf(c303, plain, holdsAt(backwards, n3), inference(cnf_transformation, [status(thm)], [c302])). 295.29/44.92 cnf(c3738, plain, ~happens(X0, n2) | ~terminates(X0, X2, n2) | ~holdsAt(X2, n3), inference(superposition, [status(thm)], [c47, c192])). 295.29/44.92 cnf(c225, plain, ~def_terminates_all_defn_0(X0, X1, X2) | pull != X0 | ~happens(push, X2) | X1 != backwards, inference(cnf_transformation, [status(thm)], [c214, c215])). 295.29/44.92 fof(c215, definition, ![X0]: (![X1]: (![X2]: ((def_terminates_all_defn_0(X0, X1, X2) <=> (((~(pull = X0) | ~(X1 = forwards)) | happens(push, X2)) & ((happens(push, X2) | ~(X1 = spinning)) | ~(pull = X0)) & ((~(push = X0) | ~(spinning = X1)) | happens(pull, X2)) & ((~(pull = X0) | ~(happens(push, X2))) | ~(X1 = backwards)) & ((~(happens(push, X2)) | ~(forwards = X1)) | ~(X0 = pull)) & ((~(X0 = push) | ~(X1 = backwards)) | happens(pull, X2))))))), introduced(definition, [new_symbols(definition, [def_terminates_all_defn_0])])). 295.29/44.92 fof(c214, plain, (![X0]: (![X1]: (![X2]: (((((((((~(pull = X0) | ~(X1 = forwards)) | happens(push, X2)) & ((happens(push, X2) | ~(X1 = spinning)) | ~(pull = X0))) & ((~(push = X0) | ~(spinning = X1)) | happens(pull, X2))) & ((~(pull = X0) | ~(happens(push, X2))) | ~(X1 = backwards))) & ((~(happens(push, X2)) | ~(forwards = X1)) | ~(X0 = pull))) & ((~(X0 = push) | ~(X1 = backwards)) | happens(pull, X2))) | terminates(X0, X1, X2))))) & ![X0]: (![X1]: (![X2]: (((((((((pull = X0 & X1 = forwards) & ~(happens(push, X2))) | ((~(happens(push, X2)) & X1 = spinning) & pull = X0)) | ((push = X0 & spinning = X1) & ~(happens(pull, X2)))) | ((pull = X0 & happens(push, X2)) & X1 = backwards)) | ((happens(push, X2) & forwards = X1) & X0 = pull)) | ((X0 = push & X1 = backwards) & ~(happens(pull, X2)))) | ~(terminates(X0, X1, X2))))))), inference(skolemisation, [status(esa)], [c213])). 295.29/44.92 cnf(c24364, plain, ~happens(X0, n2) | ~terminates(X0, backwards, n2), inference(resolution, [status(thm)], [c3738, c303])). 295.29/44.92 fof(c256, axiom, ![X0]: (![X1]: ((((((push = X0 & X1 = n0) | (push = X0 & X1 = n2)) | (X0 = pull & n2 = X1)) | (n1 = X1 & X0 = pull)) <=> happens(X0, X1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', happens_all_defn)). 295.29/44.92 cnf(c266, plain, ~def_happens_all_defn_0(X0, X1) | X0 != pull | n2 != X1, inference(cnf_transformation, [status(thm)], [c258, c259])). 295.29/44.92 cnf(c4094, plain, ~def_terminates_all_defn_0(pull, X1, X2) | ~happens(push, X2) | X1 != backwards, inference(equality_resolution, [status(thm)], [c225])). 295.29/44.92 cnf(c246, plain, def_terminates_all_defn_0(X0, X1, X2) | terminates(X0, X1, X2), inference(cnf_transformation, [status(thm)], [c214, c215])). 295.29/44.92 cnf(c27399, plain, ~terminates(X1, backwards, n2) | def_happens_all_defn_0(X1, n2), inference(resolution, [status(thm)], [c24364, c276])). 295.29/44.92 fof(c257, plain, ![X0]: (![X1]: (((((((~(push = X0) | ~(X1 = n0)) & (~(push = X0) | ~(X1 = n2))) & (~(X0 = pull) | ~(n2 = X1))) & (~(n1 = X1) | ~(X0 = pull))) | happens(X0, X1)) & (((((push = X0 & X1 = n0) | (push = X0 & X1 = n2)) | (X0 = pull & n2 = X1)) | (n1 = X1 & X0 = pull)) | ~(happens(X0, X1)))))), inference(fof_nnf_transformation, [status(thm)], [c256])). 295.29/44.92 cnf(c4832, plain, ~def_happens_all_defn_0(pull, X1) | n2 != X1, inference(equality_resolution, [status(thm)], [c266])). 295.29/44.92 cnf(c29758, plain, ~def_terminates_all_defn_0(pull, backwards, X2) | ~happens(push, X2), inference(equality_resolution, [status(thm)], [c4094])). 295.29/44.92 cnf(c27822, plain, def_happens_all_defn_0(X2, n2) | def_terminates_all_defn_0(X2, backwards, n2), inference(resolution, [status(thm)], [c27399, c246])). 295.29/44.92 cnf(c265, plain, ~def_happens_all_defn_0(X0, X1) | push != X0 | X1 != n2, inference(cnf_transformation, [status(thm)], [c258, c259])). 295.29/44.92 fof(c259, definition, ![X0]: (![X1]: ((def_happens_all_defn_0(X0, X1) <=> ((~(push = X0) | ~(X1 = n0)) & (~(push = X0) | ~(X1 = n2)) & (~(X0 = pull) | ~(n2 = X1)) & (~(n1 = X1) | ~(X0 = pull)))))), introduced(definition, [new_symbols(definition, [def_happens_all_defn_0])])). 295.29/44.92 fof(c258, plain, (![X0]: (![X1]: ((((((~(push = X0) | ~(X1 = n0)) & (~(push = X0) | ~(X1 = n2))) & (~(X0 = pull) | ~(n2 = X1))) & (~(n1 = X1) | ~(X0 = pull))) | happens(X0, X1)))) & ![X0]: (![X1]: ((((((push = X0 & X1 = n0) | (push = X0 & X1 = n2)) | (X0 = pull & n2 = X1)) | (n1 = X1 & X0 = pull)) | ~(happens(X0, X1)))))), inference(skolemisation, [status(esa)], [c257])). 295.29/44.92 cnf(c4858, plain, ~def_happens_all_defn_0(pull, n2), inference(equality_resolution, [status(thm)], [c4832])). 295.29/44.92 cnf(c278501, plain, def_happens_all_defn_0(pull, n2) | ~happens(push, n2), inference(resolution, [status(thm)], [c27822, c29758])). 295.29/44.92 cnf(c4639, plain, ~def_happens_all_defn_0(push, X1) | X1 != n2, inference(equality_resolution, [status(thm)], [c265])). 295.29/44.92 cnf(c276, plain, def_happens_all_defn_0(X0, X1) | happens(X0, X1), inference(cnf_transformation, [status(thm)], [c258, c259])). 295.29/44.92 cnf(c278841, plain, ~happens(push, n2), inference(subsumption_resolution, [status(thm)], [c278501, c4858])). 295.29/44.92 cnf(c4667, plain, ~def_happens_all_defn_0(push, n2), inference(equality_resolution, [status(thm)], [c4639])). 295.29/44.92 cnf(c278842, plain, def_happens_all_defn_0(push, n2), inference(resolution, [status(thm)], [c278841, c276])). 295.29/44.92 cnf(c278878, plain, $false, inference(subsumption_resolution, [status(thm)], [c278842, c4667])). 295.29/44.92 % SZS output end Proof for theBenchmark 295.29/44.92 % ------------------------------ 295.29/44.92 % Version: mrs 0.2.0 295.29/44.92 % Termination reason: Refutation 295.29/44.92 % Time elapsed: 44.459 s 295.29/44.92 % Peak memory usage: 4108 MB 295.29/44.92 % ------------------------------ 295.29/44.92 % SZS detail strategies=8 result=Refutation processed=32434 generated=753457 295.29/44.93 EOF