0.00/0.02	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.03	% Command  : run_mrs /export/starexec/sandbox/benchmark/theBenchmark.p 180
0.09/0.36	% Computer : n010.cluster.edu
0.09/0.36	% Model    : x86_64 x86_64
0.09/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.36	% Memory   : 8046.5625MB
0.09/0.36	% OS       : Linux 6.8.0-71-generic
0.09/0.36	% CPULimit : 1440
0.09/0.36	% WCLimit  : 180
0.09/0.36	% DateTime : Mon Jul 27 09:16:04 UTC 2026
0.09/0.36	% CPUTime  : 
0.09/0.36	Running run_mrs /export/starexec/sandbox/benchmark/theBenchmark.p 180
0.12/0.38	% Resolved 3 include directive(s)
0.12/0.38	% Problem: theBenchmark (44 axioms, 1 conjectures, 0 cnf clauses)
0.12/0.38	% Auto schedule: chose portfolio 'casc_feq'
0.12/0.40	% SZS status Theorem for theBenchmark
0.12/0.40	% SZS output start Proof for theBenchmark
0.12/0.40	fof(c185, axiom, r2, file('/export/starexec/sandbox/benchmark/theBenchmark.p', principia_r2)).
0.12/0.40	fof(c79, axiom, (r2 <=> ![X0]: (![X1]: (is_a_theorem(implies(X1, or(X0, X1)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', r2)).
0.12/0.40	fof(c181, axiom, op_implies_or, file('/export/starexec/sandbox/benchmark/theBenchmark.p', principia_op_implies_or)).
0.12/0.40	fof(c149, axiom, (op_implies_or => ![X0]: (![X1]: (or(not(X0), X1) = implies(X0, X1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', op_implies_or)).
0.12/0.40	fof(c209, conjecture, implies_1, file('/export/starexec/sandbox/benchmark/theBenchmark.p', hilbert_implies_1)).
0.12/0.40	fof(c186, plain, r2, inference(fof_nnf_transformation, [status(thm)], [c185])).
0.12/0.40	fof(c80, plain, ((~(r2) | ![X0]: (![X1]: (is_a_theorem(implies(X1, or(X0, X1)))))) & (r2 | ?[X0]: (?[X1]: (~(is_a_theorem(implies(X1, or(X0, X1)))))))), inference(fof_nnf_transformation, [status(thm)], [c79])).
0.12/0.40	fof(c182, plain, op_implies_or, inference(fof_nnf_transformation, [status(thm)], [c181])).
0.12/0.40	fof(c150, plain, (~(op_implies_or) | ![X0]: (![X1]: (or(not(X0), X1) = implies(X0, X1)))), inference(fof_nnf_transformation, [status(thm)], [c149])).
0.12/0.40	fof(c210, negated_conjecture, ~(implies_1), inference(negated_conjecture, [status(cth)], [c209])).
0.12/0.40	fof(c59, axiom, (![X0]: (![X1]: (is_a_theorem(implies(X0, implies(X1, X0))))) <=> implies_1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', implies_1)).
0.12/0.40	fof(c187, plain, r2, inference(skolemisation, [status(esa)], [c186])).
0.12/0.40	fof(c81, plain, ((~(r2) | ![X0]: (![X1]: (is_a_theorem(implies(X1, or(X0, X1)))))) & (r2 | ~(is_a_theorem(implies(sk_r2_1, or(sk_r2_0, sk_r2_1)))))), inference(skolemisation, [status(esa)], [c80])).
0.12/0.40	fof(c183, plain, op_implies_or, inference(skolemisation, [status(esa)], [c182])).
0.12/0.40	fof(c151, plain, (~(op_implies_or) | ![X0]: (![X1]: (or(not(X0), X1) = implies(X0, X1)))), inference(skolemisation, [status(esa)], [c150])).
0.12/0.40	fof(c211, plain, ~(implies_1), inference(fof_nnf_transformation, [status(thm)], [c210])).
0.12/0.40	fof(c60, plain, ((?[X0]: (?[X1]: (~(is_a_theorem(implies(X0, implies(X1, X0)))))) | implies_1) & (![X0]: (![X1]: (is_a_theorem(implies(X0, implies(X1, X0))))) | ~(implies_1))), inference(fof_nnf_transformation, [status(thm)], [c59])).
0.12/0.40	cnf(c188, plain, r2, inference(cnf_transformation, [status(thm)], [c187])).
0.12/0.40	cnf(c82, plain, ~r2 | is_a_theorem(implies(X1, or(X0, X1))), inference(cnf_transformation, [status(thm)], [c81])).
0.12/0.40	cnf(c184, plain, op_implies_or, inference(cnf_transformation, [status(thm)], [c183])).
0.12/0.40	cnf(c152, plain, ~op_implies_or | or(not(X0), X1) = implies(X0, X1), inference(cnf_transformation, [status(thm)], [c151])).
0.12/0.40	fof(c212, plain, ~(implies_1), inference(skolemisation, [status(esa)], [c211])).
0.12/0.40	fof(c61, plain, ((~(is_a_theorem(implies(sk_implies_1_0, implies(sk_implies_1_1, sk_implies_1_0)))) | implies_1) & (![X0]: (![X1]: (is_a_theorem(implies(X0, implies(X1, X0))))) | ~(implies_1))), inference(skolemisation, [status(esa)], [c60])).
0.12/0.40	cnf(c218, plain, is_a_theorem(implies(X1, or(X0, X1))), inference(subsumption_resolution, [status(thm)], [c82, c188])).
0.12/0.40	cnf(c222, plain, or(not(X0), X1) = implies(X0, X1), inference(subsumption_resolution, [status(thm)], [c152, c184])).
0.12/0.40	cnf(c213, plain, ~implies_1, inference(cnf_transformation, [status(thm)], [c212])).
0.12/0.40	cnf(c62, plain, ~is_a_theorem(implies(sk_implies_1_0, implies(sk_implies_1_1, sk_implies_1_0))) | implies_1, inference(cnf_transformation, [status(thm)], [c61])).
0.12/0.40	cnf(c223, plain, is_a_theorem(implies(X3, implies(X0, X3))), inference(superposition, [status(thm)], [c222, c218])).
0.12/0.40	cnf(c298, plain, ~is_a_theorem(implies(sk_implies_1_0, implies(sk_implies_1_1, sk_implies_1_0))), inference(subsumption_resolution, [status(thm)], [c62, c213])).
0.12/0.40	cnf(c299, plain, $false, inference(subsumption_resolution, [status(thm)], [c298, c223])).
0.12/0.40	% SZS output end Proof for theBenchmark
0.12/0.40	% ------------------------------
0.12/0.40	% Version: mrs 0.2.0
0.12/0.40	% Termination reason: Refutation
0.12/0.40	% Time elapsed: 0.021 s
0.12/0.40	% Peak memory usage: 2122 MB
0.12/0.40	% ------------------------------
0.12/0.40	% SZS detail strategies=8 result=Refutation processed=290 generated=60
0.12/0.40	EOF