TSTP Solution File: REL004-3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL004-3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:56:31 EDT 2024
% Result : Unsatisfiable 15.98s 2.59s
% Output : CNFRefutation 15.98s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
complement(converse(sk1)) != converse(complement(sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
cnf(c_53,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
cnf(c_54,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
cnf(c_55,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
cnf(c_56,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
cnf(c_60,plain,
converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
cnf(c_61,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
cnf(c_64,plain,
join(X0,complement(X0)) = top,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_top_12) ).
cnf(c_65,plain,
meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
cnf(c_82,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_55,c_54,c_53]) ).
cnf(c_120,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_82,c_56]) ).
cnf(c_121,plain,
join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_120,c_54,c_53]) ).
cnf(c_130,plain,
converse(sk1) = sP0_iProver_def,
definition ).
cnf(c_131,plain,
complement(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_132,plain,
complement(sk1) = sP2_iProver_def,
definition ).
cnf(c_133,plain,
converse(sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_134,negated_conjecture,
sP1_iProver_def != sP3_iProver_def,
inference(demodulation,[status(thm)],[c_49,c_132,c_133,c_130,c_131]) ).
cnf(c_227,plain,
converse(sP3_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_133,c_60]) ).
cnf(c_243,plain,
join(sk1,sP2_iProver_def) = top,
inference(superposition,[status(thm)],[c_132,c_64]) ).
cnf(c_244,plain,
join(sP0_iProver_def,sP1_iProver_def) = top,
inference(superposition,[status(thm)],[c_131,c_64]) ).
cnf(c_245,plain,
join(sP2_iProver_def,sk1) = top,
inference(theory_normalisation,[status(thm)],[c_243,c_54,c_53]) ).
cnf(c_247,plain,
meet(sP0_iProver_def,sP1_iProver_def) = zero,
inference(superposition,[status(thm)],[c_131,c_65]) ).
cnf(c_248,plain,
complement(join(complement(X0),complement(X1))) = meet(X1,X0),
inference(superposition,[status(thm)],[c_53,c_56]) ).
cnf(c_250,plain,
meet(X0,complement(X0)) = complement(top),
inference(superposition,[status(thm)],[c_64,c_56]) ).
cnf(c_251,plain,
complement(join(sP2_iProver_def,complement(X0))) = meet(sk1,X0),
inference(superposition,[status(thm)],[c_132,c_56]) ).
cnf(c_253,plain,
complement(join(sP1_iProver_def,complement(X0))) = meet(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_131,c_56]) ).
cnf(c_259,plain,
join(join(complement(X0),complement(X1)),meet(X0,X1)) = top,
inference(superposition,[status(thm)],[c_56,c_64]) ).
cnf(c_262,plain,
complement(top) = zero,
inference(light_normalisation,[status(thm)],[c_250,c_65]) ).
cnf(c_265,plain,
join(complement(X0),join(complement(X1),meet(X0,X1))) = top,
inference(theory_normalisation,[status(thm)],[c_259,c_54,c_53]) ).
cnf(c_279,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_262,c_64]) ).
cnf(c_281,plain,
complement(join(complement(X0),zero)) = meet(X0,top),
inference(superposition,[status(thm)],[c_262,c_56]) ).
cnf(c_282,plain,
complement(join(zero,complement(X0))) = meet(X0,top),
inference(theory_normalisation,[status(thm)],[c_281,c_54,c_53]) ).
cnf(c_287,plain,
complement(join(sP2_iProver_def,sP2_iProver_def)) = meet(sk1,sk1),
inference(superposition,[status(thm)],[c_132,c_251]) ).
cnf(c_377,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_65,c_121]) ).
cnf(c_379,plain,
join(zero,complement(join(complement(sP0_iProver_def),sP1_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_247,c_121]) ).
cnf(c_381,plain,
join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_56,c_121]) ).
cnf(c_384,plain,
join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_64,c_121]) ).
cnf(c_396,plain,
join(zero,complement(join(sP1_iProver_def,complement(sP0_iProver_def)))) = sP0_iProver_def,
inference(theory_normalisation,[status(thm)],[c_379,c_54,c_53]) ).
cnf(c_397,plain,
join(zero,complement(join(sP1_iProver_def,sP1_iProver_def))) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_396,c_131]) ).
cnf(c_400,plain,
join(complement(top),meet(X0,complement(complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_384,c_54,c_53]) ).
cnf(c_401,plain,
join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_400,c_262]) ).
cnf(c_402,plain,
join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_381,c_54,c_53]) ).
cnf(c_455,plain,
converse(join(sk1,X0)) = join(sP0_iProver_def,converse(X0)),
inference(superposition,[status(thm)],[c_130,c_61]) ).
cnf(c_456,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_60,c_61]) ).
cnf(c_459,plain,
converse(join(sP3_iProver_def,X0)) = join(sP2_iProver_def,converse(X0)),
inference(superposition,[status(thm)],[c_227,c_61]) ).
cnf(c_530,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_64,c_54]) ).
cnf(c_533,plain,
join(sP0_iProver_def,join(sP1_iProver_def,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_244,c_54]) ).
cnf(c_534,plain,
join(sP2_iProver_def,join(sk1,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_245,c_54]) ).
cnf(c_535,plain,
join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_279,c_54]) ).
cnf(c_579,plain,
complement(join(sP1_iProver_def,sP1_iProver_def)) = meet(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_131,c_253]) ).
cnf(c_597,plain,
join(zero,meet(sP0_iProver_def,sP0_iProver_def)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_397,c_579]) ).
cnf(c_731,plain,
join(join(sP1_iProver_def,sP1_iProver_def),meet(sP0_iProver_def,sP0_iProver_def)) = top,
inference(superposition,[status(thm)],[c_579,c_64]) ).
cnf(c_734,plain,
join(sP1_iProver_def,join(sP1_iProver_def,meet(sP0_iProver_def,sP0_iProver_def))) = top,
inference(theory_normalisation,[status(thm)],[c_731,c_54,c_53]) ).
cnf(c_1653,plain,
join(zero,meet(sk1,complement(sP2_iProver_def))) = sk1,
inference(superposition,[status(thm)],[c_132,c_401]) ).
cnf(c_1655,plain,
join(zero,meet(sP0_iProver_def,complement(sP1_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_131,c_401]) ).
cnf(c_1656,plain,
join(zero,meet(top,complement(zero))) = top,
inference(superposition,[status(thm)],[c_262,c_401]) ).
cnf(c_1701,plain,
converse(join(sk1,sP2_iProver_def)) = join(sP0_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_133,c_455]) ).
cnf(c_1707,plain,
converse(join(sP2_iProver_def,sk1)) = join(sP0_iProver_def,sP3_iProver_def),
inference(theory_normalisation,[status(thm)],[c_1701,c_54,c_53]) ).
cnf(c_1708,plain,
join(sP0_iProver_def,sP3_iProver_def) = converse(top),
inference(light_normalisation,[status(thm)],[c_1707,c_245]) ).
cnf(c_3687,plain,
join(top,meet(sP0_iProver_def,sP0_iProver_def)) = join(top,sP0_iProver_def),
inference(superposition,[status(thm)],[c_597,c_535]) ).
cnf(c_3693,plain,
join(top,meet(sP0_iProver_def,sP0_iProver_def)) = join(sP0_iProver_def,top),
inference(theory_normalisation,[status(thm)],[c_3687,c_54,c_53]) ).
cnf(c_3841,plain,
join(top,join(sP1_iProver_def,meet(sP0_iProver_def,sP0_iProver_def))) = join(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_734,c_533]) ).
cnf(c_3842,plain,
join(sP1_iProver_def,join(top,meet(sP0_iProver_def,sP0_iProver_def))) = join(sP0_iProver_def,top),
inference(theory_normalisation,[status(thm)],[c_3841,c_54,c_53]) ).
cnf(c_3843,plain,
join(sP1_iProver_def,join(sP0_iProver_def,top)) = join(sP0_iProver_def,top),
inference(light_normalisation,[status(thm)],[c_3842,c_3693]) ).
cnf(c_3844,plain,
join(sP0_iProver_def,join(sP1_iProver_def,top)) = join(sP0_iProver_def,top),
inference(theory_normalisation,[status(thm)],[c_3843,c_54,c_53]) ).
cnf(c_4211,plain,
meet(X0,X1) = meet(X1,X0),
inference(superposition,[status(thm)],[c_248,c_56]) ).
cnf(c_4364,plain,
join(top,top) = join(sP0_iProver_def,top),
inference(demodulation,[status(thm)],[c_3844,c_533]) ).
cnf(c_4861,plain,
join(zero,meet(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_377,c_248]) ).
cnf(c_4866,plain,
join(top,meet(X0,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_4861,c_535]) ).
cnf(c_5167,plain,
join(meet(X0,sk1),meet(X0,sP2_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_132,c_402]) ).
cnf(c_5170,plain,
join(meet(X0,sP0_iProver_def),meet(X0,sP1_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_131,c_402]) ).
cnf(c_5171,plain,
join(meet(X0,top),meet(X0,zero)) = X0,
inference(superposition,[status(thm)],[c_262,c_402]) ).
cnf(c_5188,plain,
join(meet(X0,sP2_iProver_def),meet(X0,sk1)) = X0,
inference(theory_normalisation,[status(thm)],[c_5167,c_54,c_53]) ).
cnf(c_5252,plain,
join(meet(sP0_iProver_def,X0),meet(X0,sP1_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_4211,c_5170]) ).
cnf(c_5256,plain,
join(meet(X0,sP0_iProver_def),meet(sP1_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_4211,c_5170]) ).
cnf(c_5275,plain,
join(meet(top,X0),meet(X0,zero)) = X0,
inference(superposition,[status(thm)],[c_4211,c_5171]) ).
cnf(c_6019,plain,
join(meet(sP2_iProver_def,X0),meet(X0,sk1)) = X0,
inference(superposition,[status(thm)],[c_4211,c_5188]) ).
cnf(c_6031,plain,
join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_64,c_456]) ).
cnf(c_6276,plain,
join(top,converse(complement(converse(sk1)))) = join(sP2_iProver_def,converse(top)),
inference(superposition,[status(thm)],[c_6031,c_534]) ).
cnf(c_6320,plain,
join(top,converse(sP1_iProver_def)) = join(sP2_iProver_def,converse(top)),
inference(light_normalisation,[status(thm)],[c_6276,c_130,c_131]) ).
cnf(c_6491,plain,
join(meet(sP0_iProver_def,X0),meet(sP1_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_4211,c_5252]) ).
cnf(c_6505,plain,
join(meet(complement(sP1_iProver_def),sP0_iProver_def),zero) = complement(sP1_iProver_def),
inference(superposition,[status(thm)],[c_65,c_5256]) ).
cnf(c_6510,plain,
join(zero,meet(complement(sP1_iProver_def),sP0_iProver_def)) = complement(sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_6505,c_54,c_53]) ).
cnf(c_6880,plain,
complement(sP1_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_6510,c_1655,c_4211]) ).
cnf(c_6908,plain,
complement(join(complement(X0),sP0_iProver_def)) = meet(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_6880,c_248]) ).
cnf(c_6909,plain,
complement(join(complement(X0),sP0_iProver_def)) = meet(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_6880,c_56]) ).
cnf(c_6921,plain,
complement(join(sP0_iProver_def,complement(X0))) = meet(X0,sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_6909,c_54,c_53]) ).
cnf(c_6922,plain,
complement(join(sP0_iProver_def,complement(X0))) = meet(sP1_iProver_def,X0),
inference(theory_normalisation,[status(thm)],[c_6908,c_54,c_53]) ).
cnf(c_7193,plain,
join(meet(top,X0),meet(zero,X0)) = X0,
inference(superposition,[status(thm)],[c_4211,c_5275]) ).
cnf(c_7232,plain,
join(zero,meet(complement(sP2_iProver_def),sk1)) = complement(sP2_iProver_def),
inference(superposition,[status(thm)],[c_65,c_6019]) ).
cnf(c_7235,plain,
join(meet(sP2_iProver_def,X0),meet(sk1,X0)) = X0,
inference(superposition,[status(thm)],[c_4211,c_6019]) ).
cnf(c_7264,plain,
converse(join(sP3_iProver_def,top)) = join(top,converse(sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_6320,c_459]) ).
cnf(c_7597,plain,
complement(join(sP0_iProver_def,sP0_iProver_def)) = meet(sP1_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_6880,c_6921]) ).
cnf(c_8210,plain,
join(meet(top,complement(zero)),zero) = complement(zero),
inference(superposition,[status(thm)],[c_65,c_7193]) ).
cnf(c_8213,plain,
join(zero,meet(top,complement(zero))) = complement(zero),
inference(theory_normalisation,[status(thm)],[c_8210,c_54,c_53]) ).
cnf(c_8214,plain,
complement(zero) = top,
inference(light_normalisation,[status(thm)],[c_8213,c_1656]) ).
cnf(c_8219,plain,
complement(join(sP0_iProver_def,top)) = meet(sP1_iProver_def,zero),
inference(superposition,[status(thm)],[c_8214,c_6922]) ).
cnf(c_8248,plain,
complement(join(complement(X0),top)) = meet(X0,zero),
inference(superposition,[status(thm)],[c_8214,c_56]) ).
cnf(c_8256,plain,
complement(join(top,complement(X0))) = meet(X0,zero),
inference(theory_normalisation,[status(thm)],[c_8248,c_54,c_53]) ).
cnf(c_8351,plain,
join(join(sP0_iProver_def,top),meet(sP1_iProver_def,zero)) = top,
inference(superposition,[status(thm)],[c_8219,c_64]) ).
cnf(c_8359,plain,
join(sP0_iProver_def,join(top,meet(sP1_iProver_def,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_8351,c_54,c_53]) ).
cnf(c_8836,plain,
complement(sP2_iProver_def) = sk1,
inference(demodulation,[status(thm)],[c_7232,c_1653,c_4211]) ).
cnf(c_8872,plain,
complement(join(complement(X0),sk1)) = meet(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_8836,c_248]) ).
cnf(c_8873,plain,
complement(join(complement(X0),sk1)) = meet(X0,sP2_iProver_def),
inference(superposition,[status(thm)],[c_8836,c_56]) ).
cnf(c_8880,plain,
complement(join(sk1,complement(X0))) = meet(X0,sP2_iProver_def),
inference(theory_normalisation,[status(thm)],[c_8873,c_54,c_53]) ).
cnf(c_8881,plain,
complement(join(sk1,complement(X0))) = meet(sP2_iProver_def,X0),
inference(theory_normalisation,[status(thm)],[c_8872,c_54,c_53]) ).
cnf(c_10000,plain,
complement(join(top,top)) = meet(zero,zero),
inference(superposition,[status(thm)],[c_8214,c_8256]) ).
cnf(c_10045,plain,
meet(zero,zero) = meet(sP1_iProver_def,zero),
inference(light_normalisation,[status(thm)],[c_10000,c_4364,c_8219]) ).
cnf(c_10168,plain,
join(top,meet(sP1_iProver_def,zero)) = join(top,zero),
inference(superposition,[status(thm)],[c_10045,c_4866]) ).
cnf(c_10169,plain,
join(zero,meet(sP1_iProver_def,zero)) = zero,
inference(superposition,[status(thm)],[c_10045,c_4861]) ).
cnf(c_10192,plain,
join(top,meet(sP1_iProver_def,zero)) = top,
inference(light_normalisation,[status(thm)],[c_10168,c_279]) ).
cnf(c_10851,plain,
join(sP0_iProver_def,top) = top,
inference(light_normalisation,[status(thm)],[c_8359,c_10192]) ).
cnf(c_10854,plain,
meet(sP1_iProver_def,zero) = complement(top),
inference(demodulation,[status(thm)],[c_8219,c_10851]) ).
cnf(c_10855,plain,
join(top,top) = top,
inference(demodulation,[status(thm)],[c_4364,c_10851]) ).
cnf(c_10856,plain,
meet(sP1_iProver_def,zero) = zero,
inference(light_normalisation,[status(thm)],[c_10854,c_262]) ).
cnf(c_10858,plain,
join(zero,zero) = zero,
inference(demodulation,[status(thm)],[c_10169,c_10856]) ).
cnf(c_10865,plain,
join(sP0_iProver_def,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_10851,c_54]) ).
cnf(c_10881,plain,
complement(join(sk1,sk1)) = meet(sP2_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_8836,c_8880]) ).
cnf(c_11155,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_10858,c_54]) ).
cnf(c_12411,plain,
join(sP0_iProver_def,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_6031,c_10865]) ).
cnf(c_12422,plain,
converse(join(sk1,top)) = converse(top),
inference(demodulation,[status(thm)],[c_12411,c_455]) ).
cnf(c_12445,plain,
converse(converse(top)) = join(sk1,top),
inference(superposition,[status(thm)],[c_12422,c_60]) ).
cnf(c_12505,plain,
join(sk1,top) = top,
inference(demodulation,[status(thm)],[c_12445,c_60]) ).
cnf(c_12507,plain,
join(top,top) = join(sP2_iProver_def,top),
inference(superposition,[status(thm)],[c_12505,c_534]) ).
cnf(c_12508,plain,
join(sP2_iProver_def,top) = top,
inference(light_normalisation,[status(thm)],[c_12507,c_10855]) ).
cnf(c_12516,plain,
join(sP2_iProver_def,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_12508,c_54]) ).
cnf(c_12625,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_4861,c_11155]) ).
cnf(c_12633,plain,
complement(complement(X0)) = meet(X0,top),
inference(demodulation,[status(thm)],[c_282,c_12625]) ).
cnf(c_12638,plain,
meet(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_4861,c_12625]) ).
cnf(c_12647,plain,
complement(join(sP2_iProver_def,sP2_iProver_def)) = sk1,
inference(demodulation,[status(thm)],[c_287,c_12638]) ).
cnf(c_12651,plain,
complement(join(sP1_iProver_def,sP1_iProver_def)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_579,c_12638]) ).
cnf(c_12654,plain,
complement(join(sP0_iProver_def,sP0_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_7597,c_12638]) ).
cnf(c_12655,plain,
complement(join(sk1,sk1)) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_10881,c_12638]) ).
cnf(c_12752,plain,
join(complement(X0),join(complement(X0),X0)) = top,
inference(superposition,[status(thm)],[c_12638,c_265]) ).
cnf(c_12860,plain,
join(X0,join(complement(X0),complement(X0))) = top,
inference(theory_normalisation,[status(thm)],[c_12752,c_54,c_53]) ).
cnf(c_13336,plain,
meet(join(sP2_iProver_def,sP2_iProver_def),sP2_iProver_def) = complement(join(sk1,sk1)),
inference(superposition,[status(thm)],[c_12647,c_8880]) ).
cnf(c_13369,plain,
complement(join(complement(X0),sk1)) = meet(X0,join(sP2_iProver_def,sP2_iProver_def)),
inference(superposition,[status(thm)],[c_12647,c_56]) ).
cnf(c_13385,plain,
meet(join(sP2_iProver_def,sP2_iProver_def),sP2_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_13336,c_12655]) ).
cnf(c_13387,plain,
complement(join(sk1,complement(X0))) = meet(X0,join(sP2_iProver_def,sP2_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_13369,c_54,c_53]) ).
cnf(c_13388,plain,
meet(X0,join(sP2_iProver_def,sP2_iProver_def)) = meet(X0,sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_13387,c_8880]) ).
cnf(c_13451,plain,
meet(join(sP1_iProver_def,sP1_iProver_def),sP1_iProver_def) = complement(join(sP0_iProver_def,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_12651,c_6921]) ).
cnf(c_13478,plain,
complement(join(complement(X0),sP0_iProver_def)) = meet(X0,join(sP1_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_12651,c_56]) ).
cnf(c_13492,plain,
meet(join(sP1_iProver_def,sP1_iProver_def),sP1_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_13451,c_12654]) ).
cnf(c_13502,plain,
complement(join(sP0_iProver_def,complement(X0))) = meet(X0,join(sP1_iProver_def,sP1_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_13478,c_54,c_53]) ).
cnf(c_13503,plain,
meet(X0,join(sP1_iProver_def,sP1_iProver_def)) = meet(X0,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_13502,c_6921]) ).
cnf(c_15122,plain,
join(sP2_iProver_def,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_6031,c_12516]) ).
cnf(c_15204,plain,
meet(join(sP2_iProver_def,sP2_iProver_def),sP2_iProver_def) = join(sP2_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_13388,c_12638]) ).
cnf(c_15211,plain,
join(sP2_iProver_def,sP2_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_15204,c_13385]) ).
cnf(c_15311,plain,
meet(join(sP1_iProver_def,sP1_iProver_def),sP1_iProver_def) = join(sP1_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_13503,c_12638]) ).
cnf(c_15318,plain,
join(sP1_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_15311,c_13492]) ).
cnf(c_15390,plain,
join(sP2_iProver_def,join(sP2_iProver_def,X0)) = join(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_15211,c_54]) ).
cnf(c_15407,plain,
join(sP1_iProver_def,join(sP1_iProver_def,X0)) = join(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_15318,c_54]) ).
cnf(c_15923,plain,
converse(join(sP3_iProver_def,top)) = converse(top),
inference(demodulation,[status(thm)],[c_15122,c_459]) ).
cnf(c_15924,plain,
join(top,converse(sP1_iProver_def)) = converse(top),
inference(demodulation,[status(thm)],[c_7264,c_15923]) ).
cnf(c_16672,plain,
join(top,complement(X0)) = top,
inference(demodulation,[status(thm)],[c_12860,c_530]) ).
cnf(c_16674,plain,
meet(X0,zero) = complement(top),
inference(demodulation,[status(thm)],[c_8256,c_16672]) ).
cnf(c_16675,plain,
meet(X0,zero) = zero,
inference(light_normalisation,[status(thm)],[c_16674,c_262]) ).
cnf(c_16679,plain,
join(meet(X0,top),zero) = X0,
inference(demodulation,[status(thm)],[c_5171,c_16675]) ).
cnf(c_16680,plain,
join(zero,meet(X0,top)) = X0,
inference(theory_normalisation,[status(thm)],[c_16679,c_54,c_53]) ).
cnf(c_16850,plain,
meet(X0,top) = X0,
inference(demodulation,[status(thm)],[c_16680,c_12625]) ).
cnf(c_16854,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_12633,c_16850]) ).
cnf(c_16960,plain,
join(top,X0) = top,
inference(superposition,[status(thm)],[c_16854,c_16672]) ).
cnf(c_16962,plain,
complement(join(sk1,X0)) = meet(sP2_iProver_def,complement(X0)),
inference(superposition,[status(thm)],[c_16854,c_8881]) ).
cnf(c_16967,plain,
complement(join(sP0_iProver_def,X0)) = meet(sP1_iProver_def,complement(X0)),
inference(superposition,[status(thm)],[c_16854,c_6922]) ).
cnf(c_17018,plain,
converse(top) = top,
inference(demodulation,[status(thm)],[c_15924,c_16960]) ).
cnf(c_17025,plain,
join(X0,converse(complement(converse(X0)))) = top,
inference(demodulation,[status(thm)],[c_6031,c_17018]) ).
cnf(c_17026,plain,
join(sP0_iProver_def,sP3_iProver_def) = top,
inference(demodulation,[status(thm)],[c_1708,c_17018]) ).
cnf(c_21660,plain,
meet(sP2_iProver_def,complement(converse(complement(converse(sk1))))) = complement(top),
inference(superposition,[status(thm)],[c_17025,c_16962]) ).
cnf(c_21691,plain,
meet(sP2_iProver_def,complement(converse(sP1_iProver_def))) = zero,
inference(light_normalisation,[status(thm)],[c_21660,c_130,c_131,c_262]) ).
cnf(c_21778,plain,
join(meet(sP2_iProver_def,converse(sP1_iProver_def)),zero) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_21691,c_402]) ).
cnf(c_21783,plain,
join(zero,meet(sP2_iProver_def,converse(sP1_iProver_def))) = sP2_iProver_def,
inference(theory_normalisation,[status(thm)],[c_21778,c_54,c_53]) ).
cnf(c_22056,plain,
meet(sP2_iProver_def,converse(sP1_iProver_def)) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_21783,c_12625]) ).
cnf(c_22060,plain,
join(sP2_iProver_def,meet(sk1,converse(sP1_iProver_def))) = converse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_22056,c_7235]) ).
cnf(c_22165,plain,
meet(sP1_iProver_def,complement(sP3_iProver_def)) = complement(top),
inference(superposition,[status(thm)],[c_17026,c_16967]) ).
cnf(c_22207,plain,
meet(sP1_iProver_def,complement(sP3_iProver_def)) = zero,
inference(light_normalisation,[status(thm)],[c_22165,c_262]) ).
cnf(c_22336,plain,
join(meet(sP1_iProver_def,sP3_iProver_def),zero) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_22207,c_402]) ).
cnf(c_22341,plain,
join(zero,meet(sP1_iProver_def,sP3_iProver_def)) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_22336,c_54,c_53]) ).
cnf(c_22348,plain,
meet(sP1_iProver_def,sP3_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_22341,c_12625]) ).
cnf(c_22352,plain,
join(meet(sP0_iProver_def,sP3_iProver_def),sP1_iProver_def) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_22348,c_6491]) ).
cnf(c_22356,plain,
join(sP1_iProver_def,meet(sP0_iProver_def,sP3_iProver_def)) = sP3_iProver_def,
inference(theory_normalisation,[status(thm)],[c_22352,c_54,c_53]) ).
cnf(c_22747,plain,
join(sP1_iProver_def,sP3_iProver_def) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_22356,c_15407]) ).
cnf(c_27467,plain,
join(sP2_iProver_def,converse(sP1_iProver_def)) = converse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_22060,c_15390]) ).
cnf(c_27472,plain,
converse(join(sP3_iProver_def,sP1_iProver_def)) = converse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_27467,c_459]) ).
cnf(c_27473,plain,
converse(join(sP1_iProver_def,sP3_iProver_def)) = converse(sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_27472,c_54,c_53]) ).
cnf(c_27474,plain,
converse(sP1_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_27473,c_227,c_22747]) ).
cnf(c_27514,plain,
converse(sP2_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_27474,c_60]) ).
cnf(c_27540,plain,
sP1_iProver_def = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_133,c_27514]) ).
cnf(c_27541,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_27540,c_134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : REL004-3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n029.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 20:13:07 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.42 Running UEQ theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 15.98/2.59 % SZS status Started for theBenchmark.p
% 15.98/2.59 % SZS status Unsatisfiable for theBenchmark.p
% 15.98/2.59
% 15.98/2.59 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 15.98/2.59
% 15.98/2.59 ------ iProver source info
% 15.98/2.59
% 15.98/2.59 git: date: 2024-05-02 19:28:25 +0000
% 15.98/2.59 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 15.98/2.59 git: non_committed_changes: false
% 15.98/2.59
% 15.98/2.59 ------ Parsing...successful
% 15.98/2.59
% 15.98/2.59
% 15.98/2.59
% 15.98/2.59 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 15.98/2.59
% 15.98/2.59 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 15.98/2.59
% 15.98/2.59 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 15.98/2.59 ------ Proving...
% 15.98/2.59 ------ Problem Properties
% 15.98/2.59
% 15.98/2.59
% 15.98/2.59 clauses 21
% 15.98/2.59 conjectures 1
% 15.98/2.59 EPR 1
% 15.98/2.59 Horn 21
% 15.98/2.59 unary 21
% 15.98/2.59 binary 0
% 15.98/2.59 lits 21
% 15.98/2.59 lits eq 21
% 15.98/2.59 fd_pure 0
% 15.98/2.59 fd_pseudo 0
% 15.98/2.59 fd_cond 0
% 15.98/2.59 fd_pseudo_cond 0
% 15.98/2.59 AC symbols 1
% 15.98/2.59
% 15.98/2.59 ------ Input Options Time Limit: Unbounded
% 15.98/2.59
% 15.98/2.59
% 15.98/2.59 ------
% 15.98/2.59 Current options:
% 15.98/2.59 ------
% 15.98/2.59
% 15.98/2.59
% 15.98/2.59
% 15.98/2.59
% 15.98/2.59 ------ Proving...
% 15.98/2.59
% 15.98/2.59
% 15.98/2.59 % SZS status Unsatisfiable for theBenchmark.p
% 15.98/2.59
% 15.98/2.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.98/2.60
% 15.98/2.60
%------------------------------------------------------------------------------