0.00/0.03	% 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
0.11/0.43	% Computer : n020.cluster.edu
0.11/0.43	% Model    : x86_64 x86_64
0.11/0.43	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.43	% Memory   : 8046.5625MB
0.11/0.43	% OS       : Linux 6.8.0-71-generic
0.11/0.43	% CPULimit : 1440
0.11/0.43	% WCLimit  : 180
0.11/0.43	% DateTime : Mon Jul 27 09:43:06 UTC 2026
0.11/0.43	% CPUTime  : 
0.11/0.43	Running run_mrs /export/starexec/sandbox2/benchmark/theBenchmark.p 180
0.11/0.45	% Resolved 1 include directive(s)
0.11/0.45	% Problem: theBenchmark (99 axioms, 1 conjectures, 0 cnf clauses)
0.11/0.45	% Auto schedule: chose portfolio 'casc_feq'
489.16/62.59	% SZS status Theorem for theBenchmark
489.16/62.59	% SZS output start Proof for theBenchmark
489.16/62.59	fof(c483, conjecture, ((geq(minus(n330, n1), n0) & geq(minus(n410, n1), n0)) => ![X0]: (((leq(n0, X0) & leq(X0, n2)) => ![X1]: (((leq(n0, X1) & leq(X1, minus(n0, n1))) => init = a_select3(tptp_const_array2(dim(n0, n3), dim(n0, n2), uninit), X1, X0)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gauss_init_0077)).
489.16/62.59	fof(c389, axiom, ![X0]: (![X1]: ((leq(X0, X1) => leq(X0, succ(X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', leq_succ)).
489.16/62.59	fof(c100, axiom, ![X0]: (((leq(n0, X0) & leq(X0, n0)) => n0 = X0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', finite_domain_0)).
489.16/62.59	fof(c2515, axiom, ![X0]: (n0 = sum(n0, tptp_minus_1, X0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sum_plus_base)).
489.16/62.59	fof(c2516, axiom, ![X0]: (tptp_float_0_0 = sum(n0, tptp_minus_1, X0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sum_plus_base_float)).
489.16/62.59	fof(c436, axiom, ![X0]: (pred(X0) = minus(X0, n1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', pred_minus_1)).
489.16/62.59	fof(c484, negated_conjecture, ~(((geq(minus(n330, n1), n0) & geq(minus(n410, n1), n0)) => ![X0]: (((leq(n0, X0) & leq(X0, n2)) => ![X1]: (((leq(n0, X1) & leq(X1, minus(n0, n1))) => init = a_select3(tptp_const_array2(dim(n0, n3), dim(n0, n2), uninit), X1, X0))))))), inference(negated_conjecture, [status(cth)], [c483])).
489.16/62.59	fof(c188, axiom, ![X0]: (![X1]: ((leq(succ(X0), X1) => gt(X1, X0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', leq_succ_gt)).
489.16/62.59	fof(c280, axiom, ![X0]: (succ(pred(X0)) = X0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', succ_pred)).
489.16/62.59	fof(c390, plain, ![X0]: (![X1]: ((~(leq(X0, X1)) | leq(X0, succ(X1))))), inference(fof_nnf_transformation, [status(thm)], [c389])).
489.16/62.59	fof(c101, plain, ![X0]: (((~(leq(n0, X0)) | ~(leq(X0, n0))) | n0 = X0)), inference(fof_nnf_transformation, [status(thm)], [c100])).
489.16/62.59	fof(c2517, plain, ![X0]: (n0 = sum(n0, tptp_minus_1, X0)), inference(fof_nnf_transformation, [status(thm)], [c2515])).
489.16/62.59	fof(c2518, plain, ![X0]: (tptp_float_0_0 = sum(n0, tptp_minus_1, X0)), inference(fof_nnf_transformation, [status(thm)], [c2516])).
489.16/62.59	fof(c361, axiom, n0 = succ(tptp_minus_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', succ_tptp_minus_1)).
489.16/62.59	fof(c437, plain, ![X0]: (pred(X0) = minus(X0, n1)), inference(fof_nnf_transformation, [status(thm)], [c436])).
489.16/62.59	fof(c485, plain, ((geq(minus(n330, n1), n0) & geq(minus(n410, n1), n0)) & ?[X0]: (((leq(n0, X0) & leq(X0, n2)) & ?[X1]: (((leq(n0, X1) & leq(X1, minus(n0, n1))) & ~(init = a_select3(tptp_const_array2(dim(n0, n3), dim(n0, n2), uninit), X1, X0))))))), inference(fof_nnf_transformation, [status(thm)], [c484])).
489.16/62.59	fof(c189, plain, ![X0]: (![X1]: ((~(leq(succ(X0), X1)) | gt(X1, X0)))), inference(fof_nnf_transformation, [status(thm)], [c188])).
489.16/62.59	fof(c281, plain, ![X0]: (succ(pred(X0)) = X0), inference(fof_nnf_transformation, [status(thm)], [c280])).
489.16/62.59	fof(c391, plain, ![X0]: (![X1]: ((~(leq(X0, X1)) | leq(X0, succ(X1))))), inference(skolemisation, [status(esa)], [c390])).
489.16/62.59	fof(c102, plain, ![X0]: (((~(leq(n0, X0)) | ~(leq(X0, n0))) | n0 = X0)), inference(skolemisation, [status(esa)], [c101])).
489.16/62.59	fof(c211, axiom, ![X0]: (pred(succ(X0)) = X0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', pred_succ)).
489.16/62.59	fof(c2519, plain, ![X0]: (n0 = sum(n0, tptp_minus_1, X0)), inference(skolemisation, [status(esa)], [c2517])).
489.16/62.59	fof(c2520, plain, ![X0]: (tptp_float_0_0 = sum(n0, tptp_minus_1, X0)), inference(skolemisation, [status(esa)], [c2518])).
489.16/62.59	fof(c362, plain, n0 = succ(tptp_minus_1), inference(fof_nnf_transformation, [status(thm)], [c361])).
489.16/62.59	fof(c438, plain, ![X0]: (pred(X0) = minus(X0, n1)), inference(skolemisation, [status(esa)], [c437])).
489.16/62.59	fof(c486, plain, ((geq(minus(n330, n1), n0) & geq(minus(n410, n1), n0)) & ((leq(n0, sk_gauss_init_0077_0) & leq(sk_gauss_init_0077_0, n2)) & ((leq(n0, sk_gauss_init_0077_1) & leq(sk_gauss_init_0077_1, minus(n0, n1))) & ~(init = a_select3(tptp_const_array2(dim(n0, n3), dim(n0, n2), uninit), sk_gauss_init_0077_1, sk_gauss_init_0077_0))))), inference(skolemisation, [status(esa)], [c485])).
489.16/62.59	fof(c190, plain, ![X0]: (![X1]: ((~(leq(succ(X0), X1)) | gt(X1, X0)))), inference(skolemisation, [status(esa)], [c189])).
489.16/62.59	fof(c282, plain, ![X0]: (succ(pred(X0)) = X0), inference(skolemisation, [status(esa)], [c281])).
489.16/62.59	cnf(c392, plain, ~leq(X0, X1) | leq(X0, succ(X1)), inference(cnf_transformation, [status(thm)], [c391])).
489.16/62.59	cnf(c103, plain, ~leq(n0, X0) | ~leq(X0, n0) | n0 = X0, inference(cnf_transformation, [status(thm)], [c102])).
489.16/62.59	cnf(c491, plain, leq(n0, sk_gauss_init_0077_1), inference(cnf_transformation, [status(thm)], [c486])).
489.16/62.59	fof(c212, plain, ![X0]: (pred(succ(X0)) = X0), inference(fof_nnf_transformation, [status(thm)], [c211])).
489.16/62.59	cnf(c2521, plain, n0 = sum(n0, tptp_minus_1, X0), inference(cnf_transformation, [status(thm)], [c2519])).
489.16/62.59	cnf(c2522, plain, tptp_float_0_0 = sum(n0, tptp_minus_1, X0), inference(cnf_transformation, [status(thm)], [c2520])).
489.16/62.59	fof(c363, plain, n0 = succ(tptp_minus_1), inference(skolemisation, [status(esa)], [c362])).
489.16/62.59	cnf(c439, plain, pred(X0) = minus(X0, n1), inference(cnf_transformation, [status(thm)], [c438])).
489.16/62.59	cnf(c492, plain, leq(sk_gauss_init_0077_1, minus(n0, n1)), inference(cnf_transformation, [status(thm)], [c486])).
489.16/62.59	cnf(c191, plain, ~leq(succ(X0), X1) | gt(X1, X0), inference(cnf_transformation, [status(thm)], [c190])).
489.16/62.59	cnf(c283, plain, succ(pred(X0)) = X0, inference(cnf_transformation, [status(thm)], [c282])).
489.16/62.59	cnf(c72269, plain, leq(sk_gauss_init_0077_1, succ(tptp_minus_1)), inference(resolution, [status(thm)], [c72263, c392])).
489.16/62.59	cnf(c2951, plain, ~leq(tptp_float_0_0, X0) | ~leq(X0, tptp_float_0_0) | tptp_float_0_0 = X0, inference(demodulation, [status(thm)], [c103, c2523])).
489.16/62.59	cnf(c4910, plain, leq(tptp_float_0_0, sk_gauss_init_0077_1), inference(demodulation, [status(thm)], [c491, c2523])).
489.16/62.59	fof(c318, axiom, ![X0]: (~(gt(X0, X0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', irreflexivity_gt)).
489.16/62.59	fof(c213, plain, ![X0]: (pred(succ(X0)) = X0), inference(skolemisation, [status(esa)], [c212])).
489.16/62.59	cnf(c2523, plain, tptp_float_0_0 = n0, inference(demodulation, [status(thm)], [c2522, c2521])).
489.16/62.59	cnf(c364, plain, n0 = succ(tptp_minus_1), inference(cnf_transformation, [status(thm)], [c363])).
489.16/62.59	cnf(c72263, plain, leq(sk_gauss_init_0077_1, tptp_minus_1), inference(demodulation, [status(thm)], [c492, c439, c2523, c4586])).
489.16/62.59	cnf(c4751, plain, gt(X2, pred(X0)) | ~leq(X0, X2), inference(superposition, [status(thm)], [c283, c191])).
489.16/62.59	cnf(c72298, plain, leq(sk_gauss_init_0077_1, tptp_float_0_0), inference(demodulation, [status(thm)], [c72269, c4585])).
489.16/62.59	cnf(c4912, plain, ~leq(sk_gauss_init_0077_1, tptp_float_0_0) | tptp_float_0_0 = sk_gauss_init_0077_1, inference(resolution, [status(thm)], [c4910, c2951])).
489.16/62.59	fof(c319, plain, ![X0]: (~(gt(X0, X0))), inference(fof_nnf_transformation, [status(thm)], [c318])).
489.16/62.59	cnf(c214, plain, pred(succ(X0)) = X0, inference(cnf_transformation, [status(thm)], [c213])).
489.16/62.59	cnf(c4585, plain, tptp_float_0_0 = succ(tptp_minus_1), inference(demodulation, [status(thm)], [c364, c2523])).
489.16/62.59	cnf(c465658, plain, gt(tptp_minus_1, pred(sk_gauss_init_0077_1)), inference(resolution, [status(thm)], [c4751, c72263])).
489.16/62.59	cnf(c472296, plain, tptp_float_0_0 = sk_gauss_init_0077_1, inference(subsumption_resolution, [status(thm)], [c4912, c72298])).
489.16/62.59	fof(c320, plain, ![X0]: (~(gt(X0, X0))), inference(skolemisation, [status(esa)], [c319])).
489.16/62.59	cnf(c4586, plain, pred(tptp_float_0_0) = tptp_minus_1, inference(superposition, [status(thm)], [c4585, c214])).
489.16/62.59	cnf(c472364, plain, gt(tptp_minus_1, pred(tptp_float_0_0)), inference(superposition, [status(thm)], [c472296, c465658])).
489.16/62.59	cnf(c321, plain, ~gt(X0, X0), inference(cnf_transformation, [status(thm)], [c320])).
489.16/62.59	cnf(c472559, plain, gt(tptp_minus_1, tptp_minus_1), inference(demodulation, [status(thm)], [c472364, c4586])).
489.16/62.59	cnf(c473702, plain, $false, inference(subsumption_resolution, [status(thm)], [c472559, c321])).
489.16/62.59	% SZS output end Proof for theBenchmark
489.16/62.59	% ------------------------------
489.16/62.59	% Version: mrs 0.2.0
489.16/62.59	% Termination reason: Refutation
489.16/62.59	% Time elapsed: 62.144 s
489.16/62.59	% Peak memory usage: 5131 MB
489.16/62.59	% ------------------------------
489.16/62.59	% SZS detail strategies=8 result=Refutation processed=27952 generated=994720
489.30/62.69	EOF