0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : run_mrs /export/starexec/sandbox2/benchmark/theBenchmark.p 180
0.10/0.36	% Computer : n011.cluster.edu
0.10/0.36	% Model    : x86_64 x86_64
0.10/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.36	% Memory   : 8046.5625MB
0.10/0.36	% OS       : Linux 6.8.0-71-generic
0.10/0.36	% CPULimit : 1440
0.10/0.36	% WCLimit  : 180
0.10/0.36	% DateTime : Mon Jul 27 09:48:20 UTC 2026
0.10/0.36	% CPUTime  : 
0.10/0.36	Running run_mrs /export/starexec/sandbox2/benchmark/theBenchmark.p 180
0.10/0.42	% Problem: theBenchmark (2820 axioms, 1 conjectures, 0 cnf clauses)
0.39/0.64	% Auto schedule: chose portfolio 'casc_feq'
1.83/1.06	% SZS status Theorem for theBenchmark
1.83/1.06	% SZS output start Proof for theBenchmark
1.83/1.06	fof(c18400, conjecture, ![X0]: ((cRedblack_2ecolor___24t(X0) => ![X1]: ((cRedblack_2eTREES_2etree___24t(X1) => ![X2]: ((cRedblack_2ekey___24t(X2) => ![X3]: ((cV___24t(X3) => ![X4]: ((cRedblack_2eTREES_2etree___24t(X4) => ~(cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(X0, X1, X2, X3, X4)))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', _HAMMER_GOAL)).
1.83/1.06	fof(c986, axiom, ![X0]: (![X1]: (![X2]: (![X3]: (![X4]: (~(cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(X0, X1, X2, X3, X4))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', $_discrim_Redblack.TREES.E$Redblack.TREES.T)).
1.83/1.06	fof(c9482, axiom, cRedblack_2eTREES_2eempty__tree = cRedblack_2eTREES_2eE, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', $_def_Redblack.TREES.empty_tree)).
1.83/1.06	fof(c18401, negated_conjecture, ~(![X0]: ((cRedblack_2ecolor___24t(X0) => ![X1]: ((cRedblack_2eTREES_2etree___24t(X1) => ![X2]: ((cRedblack_2ekey___24t(X2) => ![X3]: ((cV___24t(X3) => ![X4]: ((cRedblack_2eTREES_2etree___24t(X4) => ~(cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(X0, X1, X2, X3, X4))))))))))))), inference(negated_conjecture, [status(cth)], [c18400])).
1.83/1.06	fof(c987, plain, ![X0]: (![X1]: (![X2]: (![X3]: (![X4]: (~(cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(X0, X1, X2, X3, X4))))))), inference(fof_nnf_transformation, [status(thm)], [c986])).
1.83/1.06	fof(c9483, plain, cRedblack_2eTREES_2eempty__tree = cRedblack_2eTREES_2eE, inference(fof_nnf_transformation, [status(thm)], [c9482])).
1.83/1.06	fof(c18402, plain, ?[X0]: ((cRedblack_2ecolor___24t(X0) & ?[X1]: ((cRedblack_2eTREES_2etree___24t(X1) & ?[X2]: ((cRedblack_2ekey___24t(X2) & ?[X3]: ((cV___24t(X3) & ?[X4]: ((cRedblack_2eTREES_2etree___24t(X4) & cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(X0, X1, X2, X3, X4))))))))))), inference(fof_nnf_transformation, [status(thm)], [c18401])).
1.83/1.06	fof(c988, plain, ![X0]: (![X1]: (![X2]: (![X3]: (![X4]: (~(cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(X0, X1, X2, X3, X4))))))), inference(skolemisation, [status(esa)], [c987])).
1.83/1.06	fof(c9484, plain, cRedblack_2eTREES_2eempty__tree = cRedblack_2eTREES_2eE, inference(skolemisation, [status(esa)], [c9483])).
1.83/1.06	fof(c18403, plain, (cRedblack_2ecolor___24t(sk__HAMMER_GOAL_0) & (cRedblack_2eTREES_2etree___24t(sk__HAMMER_GOAL_1) & (cRedblack_2ekey___24t(sk__HAMMER_GOAL_2) & (cV___24t(sk__HAMMER_GOAL_3) & (cRedblack_2eTREES_2etree___24t(sk__HAMMER_GOAL_4) & cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(sk__HAMMER_GOAL_0, sk__HAMMER_GOAL_1, sk__HAMMER_GOAL_2, sk__HAMMER_GOAL_3, sk__HAMMER_GOAL_4)))))), inference(skolemisation, [status(esa)], [c18402])).
1.83/1.06	cnf(c989, plain, cRedblack_2eTREES_2eE != cRedblack_2eTREES_2eT___24a5(X0, X1, X2, X3, X4), inference(cnf_transformation, [status(thm)], [c988])).
1.83/1.06	cnf(c9485, plain, cRedblack_2eTREES_2eempty__tree = cRedblack_2eTREES_2eE, inference(cnf_transformation, [status(thm)], [c9484])).
1.83/1.06	cnf(c18409, plain, cRedblack_2eTREES_2eE = cRedblack_2eTREES_2eT___24a5(sk__HAMMER_GOAL_0, sk__HAMMER_GOAL_1, sk__HAMMER_GOAL_2, sk__HAMMER_GOAL_3, sk__HAMMER_GOAL_4), inference(cnf_transformation, [status(thm)], [c18403])).
1.83/1.06	cnf(c18610, plain, cRedblack_2eTREES_2eempty__tree != cRedblack_2eTREES_2eT___24a5(X0, X1, X2, X3, X4), inference(demodulation, [status(thm)], [c989, c9485])).
1.83/1.06	cnf(c18619, plain, cRedblack_2eTREES_2eempty__tree = cRedblack_2eTREES_2eT___24a5(sk__HAMMER_GOAL_0, sk__HAMMER_GOAL_1, sk__HAMMER_GOAL_2, sk__HAMMER_GOAL_3, sk__HAMMER_GOAL_4), inference(demodulation, [status(thm)], [c18409, c9485])).
1.83/1.06	cnf(c18620, plain, cRedblack_2eTREES_2eempty__tree != cRedblack_2eTREES_2eempty__tree, inference(superposition, [status(thm)], [c18619, c18610])).
1.83/1.06	cnf(c18622, plain, $false, inference(equality_resolution, [status(thm)], [c18620])).
1.83/1.06	% SZS output end Proof for theBenchmark
1.83/1.06	% ------------------------------
1.83/1.06	% Version: mrs 0.2.0
1.83/1.06	% Termination reason: Refutation
1.83/1.06	% Time elapsed: 0.688 s
1.83/1.06	% Peak memory usage: 1995 MB
1.83/1.06	% ------------------------------
1.83/1.06	% SZS detail strategies=6 result=Refutation processed=816 generated=231
1.83/1.09	EOF