0.00/0.02	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.03	% Command  : run_mrs /export/starexec/sandbox2/benchmark/theBenchmark.p 180
0.09/0.35	% Computer : n025.cluster.edu
0.09/0.35	% Model    : x86_64 x86_64
0.09/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.35	% Memory   : 8046.5625MB
0.09/0.35	% OS       : Linux 6.8.0-71-generic
0.09/0.35	% CPULimit : 1440
0.09/0.35	% WCLimit  : 180
0.09/0.35	% DateTime : Mon Jul 27 09:45:43 UTC 2026
0.09/0.35	% CPUTime  : 
0.09/0.35	Running run_mrs /export/starexec/sandbox2/benchmark/theBenchmark.p 180
0.13/0.37	% Resolved 2 include directive(s)
0.13/0.37	% Problem: theBenchmark (32 axioms, 1 conjectures, 0 cnf clauses)
0.13/0.37	% Auto schedule: chose portfolio 'casc_fne'
711.23/92.12	% SZS status Theorem for theBenchmark
711.23/92.12	% SZS output start Proof for theBenchmark
711.23/92.12	fof(c279, conjecture, mighta(eth, thm), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mighta_eth_thm)).
711.23/92.12	fof(c280, negated_conjecture, ~(mighta(eth, thm)), inference(negated_conjecture, [status(cth)], [c279])).
711.23/92.12	fof(c266, axiom, ![X0]: (![X1]: ((mighta(X0, X1) <=> ?[X2]: (?[X3]: ((status(X2, X3, X0) & status(X2, X3, X1))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mighta)).
711.23/92.12	fof(c18, axiom, ![X0]: (![X1]: ((((?[X2]: (model(X2, X0)) & ![X3]: ((model(X3, X1) <=> model(X3, X0)))) & ?[X4]: (~(model(X4, X0)))) <=> status(X0, X1, eth)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eth)).
711.23/92.12	fof(c117, axiom, ![X0]: (![X1]: ((status(X0, X1, thm) <=> ![X2]: ((model(X2, X0) => model(X2, X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm)).
711.23/92.12	fof(c281, plain, ~(mighta(eth, thm)), inference(fof_nnf_transformation, [status(thm)], [c280])).
711.23/92.12	fof(c267, plain, ![X0]: (![X1]: (((~(mighta(X0, X1)) | ?[X2]: (?[X3]: ((status(X2, X3, X0) & status(X2, X3, X1))))) & (mighta(X0, X1) | ![X2]: (![X3]: ((~(status(X2, X3, X0)) | ~(status(X2, X3, X1))))))))), inference(fof_nnf_transformation, [status(thm)], [c266])).
711.23/92.12	fof(c19, plain, ![X0]: (![X1]: (((((![X2]: (~(model(X2, X0))) | ?[X3]: (((model(X3, X1) & ~(model(X3, X0))) | (~(model(X3, X1)) & model(X3, X0))))) | ![X4]: (model(X4, X0))) | status(X0, X1, eth)) & (((?[X2]: (model(X2, X0)) & ![X3]: (((~(model(X3, X1)) | model(X3, X0)) & (model(X3, X1) | ~(model(X3, X0)))))) & ?[X4]: (~(model(X4, X0)))) | ~(status(X0, X1, eth)))))), inference(fof_nnf_transformation, [status(thm)], [c18])).
711.23/92.12	fof(c118, plain, ![X0]: (![X1]: (((~(status(X0, X1, thm)) | ![X2]: ((~(model(X2, X0)) | model(X2, X1)))) & (status(X0, X1, thm) | ?[X2]: ((model(X2, X0) & ~(model(X2, X1)))))))), inference(fof_nnf_transformation, [status(thm)], [c117])).
711.23/92.12	fof(c282, plain, ~(mighta(eth, thm)), inference(skolemisation, [status(esa)], [c281])).
711.23/92.12	fof(c268, plain, (![X0]: (![X1]: ((~(mighta(X0, X1)) | (status(sk_mighta_0(X0, X1), sk_mighta_1(X0, X1), X0) & status(sk_mighta_0(X0, X1), sk_mighta_1(X0, X1), X1))))) & ![X0]: (![X1]: ((mighta(X0, X1) | ![X2]: (![X3]: ((~(status(X2, X3, X0)) | ~(status(X2, X3, X1))))))))), inference(skolemisation, [status(esa)], [c267])).
711.23/92.12	cnf(c24, plain, ~def_eth_0(X0, X1) | model(sk_eth_0(X0, X1), X1), inference(cnf_transformation, [status(thm)], [c20, c21])).
711.23/92.12	cnf(c25, plain, ~def_eth_0(X0, X1) | ~model(sk_eth_0(X0, X1), X0), inference(cnf_transformation, [status(thm)], [c20, c21])).
711.23/92.12	fof(c21, definition, ![X0]: (![X1]: ((def_eth_0(X0, X1) <=> (model(sk_eth_0(X0, X1), X1) & ~(model(sk_eth_0(X0, X1), X0)))))), introduced(definition, [new_symbols(definition, [def_eth_0])])).
711.23/92.12	fof(c22, definition, ![X0]: (![X1]: ((def_eth_1(X0, X1) <=> (~(model(sk_eth_1(X0, X1), X1)) & model(sk_eth_1(X0, X1), X0))))), introduced(definition, [new_symbols(definition, [def_eth_1])])).
711.23/92.12	fof(c20, plain, (![X0]: (![X1]: ((((![X2]: (~(model(X2, X0))) | ((model(sk_eth_0(X0, X1), X1) & ~(model(sk_eth_0(X0, X1), X0))) | (~(model(sk_eth_1(X0, X1), X1)) & model(sk_eth_1(X0, X1), X0)))) | ![X4]: (model(X4, X0))) | status(X0, X1, eth)))) & ![X0]: (![X1]: ((((model(sk_eth_2(X0, X1), X0) & (![X3]: ((~(model(X3, X1)) | model(X3, X0))) & ![X3]: ((model(X3, X1) | ~(model(X3, X0)))))) & ~(model(sk_eth_3(X0, X1), X0))) | ~(status(X0, X1, eth)))))), inference(skolemisation, [status(esa)], [c19])).
711.23/92.12	fof(c120, definition, ![X0]: (![X1]: ((def_thm_0(X0, X1) <=> (model(sk_thm_0(X0, X1), X0) & ~(model(sk_thm_0(X0, X1), X1)))))), introduced(definition, [new_symbols(definition, [def_thm_0])])).
711.23/92.12	fof(c119, plain, (![X0]: (![X1]: ((~(status(X0, X1, thm)) | ![X2]: ((~(model(X2, X0)) | model(X2, X1)))))) & ![X0]: (![X1]: ((status(X0, X1, thm) | (model(sk_thm_0(X0, X1), X0) & ~(model(sk_thm_0(X0, X1), X1))))))), inference(skolemisation, [status(esa)], [c118])).
711.23/92.12	cnf(c283, plain, ~mighta(eth, thm), inference(cnf_transformation, [status(thm)], [c282])).
711.23/92.12	cnf(c273, plain, mighta(X0, X1) | ~status(X2, X3, X0) | ~status(X2, X3, X1), inference(cnf_transformation, [status(thm)], [c268])).
711.23/92.12	cnf(c26, plain, ~def_eth_1(X0, X1) | ~model(sk_eth_1(X0, X1), X1), inference(cnf_transformation, [status(thm)], [c20, c22])).
711.23/92.12	cnf(c27, plain, ~def_eth_1(X0, X1) | model(sk_eth_1(X0, X1), X0), inference(cnf_transformation, [status(thm)], [c20, c22])).
711.23/92.12	cnf(c754, plain, ~def_eth_0(X3, X3), inference(resolution, [status(thm)], [c25, c24])).
711.23/92.12	cnf(c32, plain, ~model(X2, X0) | def_eth_0(X0, X1) | def_eth_1(X0, X1) | model(X4, X0) | status(X0, X1, eth), inference(cnf_transformation, [status(thm)], [c20, c22, c21])).
711.23/92.12	cnf(c121, plain, ~def_thm_0(X0, X1) | model(sk_thm_0(X0, X1), X0), inference(cnf_transformation, [status(thm)], [c119, c120])).
711.23/92.12	cnf(c122, plain, ~def_thm_0(X0, X1) | ~model(sk_thm_0(X0, X1), X1), inference(cnf_transformation, [status(thm)], [c119, c120])).
711.23/92.12	cnf(c124, plain, status(X0, X1, thm) | def_thm_0(X0, X1), inference(cnf_transformation, [status(thm)], [c119, c120])).
711.23/92.12	cnf(c10745, plain, ~status(X2, X3, eth) | ~status(X2, X3, thm), inference(resolution, [status(thm)], [c273, c283])).
711.23/92.12	fof(c185, axiom, ?[X0]: (?[X1]: (?[X2]: (((?[X3]: (model(X3, X2)) & ~(model(X0, X2))) & model(X0, X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', non_thm_spt)).
711.23/92.12	cnf(c823, plain, ~def_eth_1(X3, X3), inference(resolution, [status(thm)], [c27, c26])).
711.23/92.12	cnf(c1294, plain, ~model(X2, X8) | def_eth_1(X8, X8) | model(X4, X8) | status(X8, X8, eth), inference(resolution, [status(thm)], [c32, c754])).
711.23/92.12	cnf(c4884, plain, ~def_thm_0(X2, X2), inference(resolution, [status(thm)], [c122, c121])).
711.23/92.12	cnf(c1054333, plain, ~status(X4, X5, eth) | def_thm_0(X4, X5), inference(resolution, [status(thm)], [c10745, c124])).
711.23/92.12	fof(c186, plain, ?[X0]: (?[X1]: (?[X2]: (((?[X3]: (model(X3, X2)) & ~(model(X0, X2))) & model(X0, X1))))), inference(fof_nnf_transformation, [status(thm)], [c185])).
711.23/92.12	cnf(c230514, plain, ~model(X2, X8) | model(X4, X8) | status(X8, X8, eth), inference(subsumption_resolution, [status(thm)], [c1294, c823])).
711.23/92.12	cnf(c1270261, plain, ~status(X8, X8, eth), inference(resolution, [status(thm)], [c1054333, c4884])).
711.23/92.12	fof(c187, plain, ((model(sk_non_thm_spt_2, sk_non_thm_spt_1) & ~(model(sk_non_thm_spt_0, sk_non_thm_spt_1))) & model(sk_non_thm_spt_0, sk_non_thm_spt_3)), inference(skolemisation, [status(esa)], [c186])).
711.23/92.12	cnf(c188, plain, model(sk_non_thm_spt_2, sk_non_thm_spt_1), inference(cnf_transformation, [status(thm)], [c187])).
711.23/92.12	cnf(c1270429, plain, ~model(X11, X17) | model(X13, X17), inference(resolution, [status(thm)], [c1270261, c230514])).
711.23/92.12	cnf(c189, plain, ~model(sk_non_thm_spt_0, sk_non_thm_spt_1), inference(cnf_transformation, [status(thm)], [c187])).
711.23/92.12	cnf(c1270543, plain, model(X13, sk_non_thm_spt_1), inference(resolution, [status(thm)], [c1270429, c188])).
711.23/92.12	cnf(c1273348, plain, $false, inference(resolution, [status(thm)], [c1270543, c189])).
711.23/92.12	% SZS output end Proof for theBenchmark
711.23/92.12	% ------------------------------
711.23/92.12	% Version: mrs 0.2.0
711.23/92.12	% Termination reason: Refutation
711.23/92.12	% Time elapsed: 91.752 s
711.23/92.12	% Peak memory usage: 5136 MB
711.23/92.12	% ------------------------------
711.23/92.12	% SZS detail strategies=8 result=Refutation processed=90913 generated=2350176
711.48/92.19	EOF