TSTP Solution File: REL024-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : REL024-2 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 : Mon Jun 24 13:56:07 EDT 2024

% Result   : Unsatisfiable 135.28s 18.05s
% Output   : CNFRefutation 135.28s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),sk3)) != composition(meet(sk1,converse(sk2)),sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).

cnf(c_50,plain,
    join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-1.ax',dedekind_law_14) ).

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_57,plain,
    composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).

cnf(c_58,plain,
    composition(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).

cnf(c_59,plain,
    join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).

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_62,plain,
    composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).

cnf(c_63,plain,
    join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).

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,negated_conjecture,
    join(composition(meet(sk1,converse(sk2)),sk3),composition(meet(sk1,converse(sk2)),meet(sk2,sk3))) != composition(meet(sk1,converse(sk2)),sk3),
    inference(theory_normalisation,[status(thm)],[c_49,c_54,c_53]) ).

cnf(c_83,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_84,plain,
    join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
    inference(theory_normalisation,[status(thm)],[c_63,c_54,c_53]) ).

cnf(c_128,plain,
    converse(sk2) = sP0_iProver_def,
    definition ).

cnf(c_129,plain,
    meet(sk1,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_130,plain,
    composition(sP1_iProver_def,sk3) = sP2_iProver_def,
    definition ).

cnf(c_131,plain,
    meet(sk2,sk3) = sP3_iProver_def,
    definition ).

cnf(c_132,plain,
    composition(sP1_iProver_def,sP3_iProver_def) = sP4_iProver_def,
    definition ).

cnf(c_133,plain,
    join(sP2_iProver_def,sP4_iProver_def) = sP5_iProver_def,
    definition ).

cnf(c_134,negated_conjecture,
    sP5_iProver_def != sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_82,c_131,c_132,c_128,c_129,c_130,c_133]) ).

cnf(c_135,negated_conjecture,
    sP5_iProver_def != sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_134]) ).

cnf(c_505,plain,
    converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[status(thm)],[c_60,c_62]) ).

cnf(c_984,plain,
    join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
    inference(superposition,[status(thm)],[c_54,c_53]) ).

cnf(c_1003,plain,
    join(meet(sP4_iProver_def,X0),composition(meet(sP1_iProver_def,composition(X0,converse(sP3_iProver_def))),meet(sP3_iProver_def,composition(converse(sP1_iProver_def),X0)))) = composition(meet(sP1_iProver_def,composition(X0,converse(sP3_iProver_def))),meet(sP3_iProver_def,composition(converse(sP1_iProver_def),X0))),
    inference(superposition,[status(thm)],[c_132,c_50]) ).

cnf(c_1006,plain,
    complement(join(complement(X0),complement(X1))) = meet(X1,X0),
    inference(superposition,[status(thm)],[c_53,c_56]) ).

cnf(c_1008,plain,
    meet(X0,complement(X0)) = complement(top),
    inference(superposition,[status(thm)],[c_64,c_56]) ).

cnf(c_1015,plain,
    complement(top) = zero,
    inference(demodulation,[status(thm)],[c_1008,c_65]) ).

cnf(c_1017,plain,
    join(complement(join(complement(X0),X1)),meet(X1,X0)) = X0,
    inference(demodulation,[status(thm)],[c_83,c_1006]) ).

cnf(c_1018,plain,
    join(meet(X0,X1),complement(join(complement(X1),X0))) = X1,
    inference(theory_normalisation,[status(thm)],[c_1017,c_54,c_53]) ).

cnf(c_1019,plain,
    complement(join(zero,complement(X0))) = meet(top,X0),
    inference(superposition,[status(thm)],[c_1015,c_56]) ).

cnf(c_1021,plain,
    join(top,zero) = top,
    inference(superposition,[status(thm)],[c_1015,c_64]) ).

cnf(c_1081,plain,
    join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[status(thm)],[c_64,c_54]) ).

cnf(c_1083,plain,
    join(top,join(zero,X0)) = join(top,X0),
    inference(superposition,[status(thm)],[c_1021,c_54]) ).

cnf(c_1103,plain,
    join(top,join(X0,zero)) = join(top,X0),
    inference(superposition,[status(thm)],[c_53,c_1083]) ).

cnf(c_1114,plain,
    composition(X0,composition(one,X1)) = composition(X0,X1),
    inference(superposition,[status(thm)],[c_58,c_57]) ).

cnf(c_1149,plain,
    join(top,join(X0,join(X1,zero))) = join(top,join(X0,X1)),
    inference(superposition,[status(thm)],[c_54,c_1103]) ).

cnf(c_1179,plain,
    join(composition(X0,X1),composition(X2,composition(X3,X1))) = composition(join(X0,composition(X2,X3)),X1),
    inference(superposition,[status(thm)],[c_57,c_59]) ).

cnf(c_1220,plain,
    converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(superposition,[status(thm)],[c_60,c_61]) ).

cnf(c_1401,plain,
    join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
    inference(superposition,[status(thm)],[c_1015,c_84]) ).

cnf(c_1422,plain,
    join(complement(sk3),composition(converse(sP1_iProver_def),complement(sP2_iProver_def))) = complement(sk3),
    inference(superposition,[status(thm)],[c_130,c_84]) ).

cnf(c_1687,plain,
    composition(converse(one),X0) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_58,c_505]) ).

cnf(c_1725,plain,
    composition(converse(one),X0) = X0,
    inference(demodulation,[status(thm)],[c_1687,c_60]) ).

cnf(c_1752,plain,
    join(complement(X0),complement(composition(one,X0))) = complement(X0),
    inference(superposition,[status(thm)],[c_1725,c_84]) ).

cnf(c_1756,plain,
    composition(converse(one),X0) = composition(one,X0),
    inference(superposition,[status(thm)],[c_1725,c_1114]) ).

cnf(c_1757,plain,
    composition(one,X0) = X0,
    inference(demodulation,[status(thm)],[c_1756,c_1725]) ).

cnf(c_1758,plain,
    join(complement(X0),complement(X0)) = complement(X0),
    inference(demodulation,[status(thm)],[c_1752,c_1757]) ).

cnf(c_1987,plain,
    join(zero,zero) = zero,
    inference(superposition,[status(thm)],[c_1015,c_1758]) ).

cnf(c_1991,plain,
    join(meet(top,X0),meet(top,X0)) = meet(top,X0),
    inference(superposition,[status(thm)],[c_1019,c_1758]) ).

cnf(c_1998,plain,
    meet(X0,X0) = complement(complement(X0)),
    inference(superposition,[status(thm)],[c_1758,c_56]) ).

cnf(c_2115,plain,
    join(zero,join(zero,X0)) = join(zero,X0),
    inference(superposition,[status(thm)],[c_1987,c_54]) ).

cnf(c_2153,plain,
    join(top,join(X0,zero)) = join(X0,top),
    inference(superposition,[status(thm)],[c_1021,c_984]) ).

cnf(c_2235,plain,
    join(complement(X0),meet(X0,X0)) = top,
    inference(superposition,[status(thm)],[c_1998,c_64]) ).

cnf(c_2290,plain,
    join(complement(X0),join(X1,meet(X0,X0))) = join(X1,top),
    inference(superposition,[status(thm)],[c_2235,c_984]) ).

cnf(c_2645,plain,
    join(top,join(X0,join(X1,zero))) = join(X0,join(X1,top)),
    inference(superposition,[status(thm)],[c_2153,c_984]) ).

cnf(c_3060,plain,
    complement(join(meet(X0,X0),complement(X1))) = meet(X1,complement(X0)),
    inference(superposition,[status(thm)],[c_1998,c_1006]) ).

cnf(c_3073,plain,
    complement(join(complement(X0),meet(top,X1))) = meet(join(zero,complement(X1)),X0),
    inference(superposition,[status(thm)],[c_1019,c_1006]) ).

cnf(c_3089,plain,
    meet(X0,X1) = meet(X1,X0),
    inference(superposition,[status(thm)],[c_1006,c_56]) ).

cnf(c_3454,plain,
    join(top,complement(complement(X0))) = join(X0,top),
    inference(superposition,[status(thm)],[c_64,c_1081]) ).

cnf(c_3460,plain,
    join(X0,complement(X0)) = join(top,complement(X0)),
    inference(superposition,[status(thm)],[c_1758,c_1081]) ).

cnf(c_3495,plain,
    join(top,complement(X0)) = top,
    inference(demodulation,[status(thm)],[c_3460,c_64]) ).

cnf(c_3496,plain,
    join(X0,top) = top,
    inference(demodulation,[status(thm)],[c_3454,c_3495]) ).

cnf(c_3515,plain,
    join(top,join(X0,join(X1,zero))) = join(X0,top),
    inference(demodulation,[status(thm)],[c_2645,c_3496]) ).

cnf(c_3516,plain,
    join(complement(X0),join(X1,meet(X0,X0))) = top,
    inference(demodulation,[status(thm)],[c_2290,c_3496]) ).

cnf(c_3528,plain,
    join(top,join(X0,join(X1,zero))) = top,
    inference(demodulation,[status(thm)],[c_3515,c_3496]) ).

cnf(c_3530,plain,
    join(top,join(X0,X1)) = top,
    inference(demodulation,[status(thm)],[c_1149,c_3528]) ).

cnf(c_3535,plain,
    join(top,X0) = top,
    inference(demodulation,[status(thm)],[c_1083,c_3530]) ).

cnf(c_3541,plain,
    join(X0,join(complement(X0),X1)) = top,
    inference(demodulation,[status(thm)],[c_1081,c_3535]) ).

cnf(c_4857,plain,
    join(X0,converse(top)) = converse(top),
    inference(superposition,[status(thm)],[c_3496,c_1220]) ).

cnf(c_5032,plain,
    converse(top) = top,
    inference(superposition,[status(thm)],[c_4857,c_3535]) ).

cnf(c_7560,plain,
    join(sP3_iProver_def,complement(join(complement(sk3),sk2))) = sk3,
    inference(superposition,[status(thm)],[c_131,c_1018]) ).

cnf(c_7583,plain,
    join(meet(complement(X0),X1),meet(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c_56,c_1018]) ).

cnf(c_7585,plain,
    join(meet(X0,X1),complement(join(X0,complement(X1)))) = X1,
    inference(superposition,[status(thm)],[c_53,c_1018]) ).

cnf(c_7594,plain,
    join(meet(top,X0),complement(top)) = X0,
    inference(superposition,[status(thm)],[c_3496,c_1018]) ).

cnf(c_7603,plain,
    join(meet(join(X0,meet(X1,X1)),X1),complement(top)) = X1,
    inference(superposition,[status(thm)],[c_3516,c_1018]) ).

cnf(c_7628,plain,
    join(complement(top),meet(top,X0)) = X0,
    inference(theory_normalisation,[status(thm)],[c_7594,c_54,c_53]) ).

cnf(c_7629,plain,
    join(zero,meet(top,X0)) = X0,
    inference(demodulation,[status(thm)],[c_7628,c_1015]) ).

cnf(c_7634,plain,
    join(sP3_iProver_def,complement(join(sk2,complement(sk3)))) = sk3,
    inference(theory_normalisation,[status(thm)],[c_7560,c_54,c_53]) ).

cnf(c_7644,plain,
    join(meet(X0,X1),meet(complement(X1),X0)) = X0,
    inference(theory_normalisation,[status(thm)],[c_7583,c_54,c_53]) ).

cnf(c_7653,plain,
    join(complement(top),meet(join(X0,meet(X1,X1)),X1)) = X1,
    inference(theory_normalisation,[status(thm)],[c_7603,c_54,c_53]) ).

cnf(c_7654,plain,
    join(zero,meet(X0,join(X1,meet(X0,X0)))) = X0,
    inference(demodulation,[status(thm)],[c_7653,c_1015,c_3089]) ).

cnf(c_7785,plain,
    join(zero,X0) = X0,
    inference(superposition,[status(thm)],[c_7629,c_2115]) ).

cnf(c_7811,plain,
    meet(top,X0) = complement(complement(X0)),
    inference(demodulation,[status(thm)],[c_1019,c_7785]) ).

cnf(c_7820,plain,
    complement(join(complement(X0),meet(top,X1))) = meet(complement(X1),X0),
    inference(demodulation,[status(thm)],[c_3073,c_7785]) ).

cnf(c_7975,plain,
    meet(top,X0) = X0,
    inference(superposition,[status(thm)],[c_7785,c_7629]) ).

cnf(c_8051,plain,
    complement(complement(X0)) = X0,
    inference(demodulation,[status(thm)],[c_7811,c_7975]) ).

cnf(c_8057,plain,
    join(X0,X0) = X0,
    inference(demodulation,[status(thm)],[c_1991,c_7975]) ).

cnf(c_8063,plain,
    complement(join(complement(X0),X1)) = meet(complement(X1),X0),
    inference(demodulation,[status(thm)],[c_7820,c_7975]) ).

cnf(c_9390,plain,
    meet(X0,X0) = X0,
    inference(demodulation,[status(thm)],[c_1998,c_8051]) ).

cnf(c_9397,plain,
    join(zero,meet(X0,join(X1,X0))) = X0,
    inference(demodulation,[status(thm)],[c_7654,c_9390]) ).

cnf(c_9407,plain,
    complement(join(X0,complement(X1))) = meet(X1,complement(X0)),
    inference(demodulation,[status(thm)],[c_3060,c_9390]) ).

cnf(c_9416,plain,
    join(meet(X0,X1),meet(X1,complement(X0))) = X1,
    inference(demodulation,[status(thm)],[c_7585,c_9407]) ).

cnf(c_9422,plain,
    join(sP3_iProver_def,meet(sk3,complement(sk2))) = sk3,
    inference(demodulation,[status(thm)],[c_7634,c_9407]) ).

cnf(c_9431,plain,
    meet(X0,join(X1,X0)) = X0,
    inference(ac_demodulation,[status(thm)],[c_9397,c_7785,c_54,c_53]) ).

cnf(c_9788,plain,
    join(X0,join(X0,X1)) = join(X0,X1),
    inference(superposition,[status(thm)],[c_8057,c_54]) ).

cnf(c_10275,plain,
    meet(composition(converse(sP1_iProver_def),complement(sP2_iProver_def)),complement(sk3)) = composition(converse(sP1_iProver_def),complement(sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_1422,c_9431]) ).

cnf(c_11795,plain,
    join(sP3_iProver_def,sk3) = sk3,
    inference(superposition,[status(thm)],[c_9422,c_9788]) ).

cnf(c_11904,plain,
    join(sP3_iProver_def,join(X0,sk3)) = join(X0,sk3),
    inference(superposition,[status(thm)],[c_11795,c_984]) ).

cnf(c_13291,plain,
    meet(complement(sk3),composition(converse(sP1_iProver_def),complement(sP2_iProver_def))) = composition(converse(sP1_iProver_def),complement(sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_10275,c_3089]) ).

cnf(c_16436,plain,
    join(meet(X0,X1),X0) = X0,
    inference(superposition,[status(thm)],[c_7644,c_9788]) ).

cnf(c_16445,plain,
    join(X0,meet(X0,X1)) = X0,
    inference(theory_normalisation,[status(thm)],[c_16436,c_54,c_53]) ).

cnf(c_24500,plain,
    meet(complement(join(complement(complement(X0)),X1)),X0) = complement(top),
    inference(superposition,[status(thm)],[c_3541,c_8063]) ).

cnf(c_24533,plain,
    meet(complement(X0),complement(X1)) = complement(join(X1,X0)),
    inference(superposition,[status(thm)],[c_8051,c_8063]) ).

cnf(c_24564,plain,
    meet(complement(join(X0,X1)),X0) = complement(top),
    inference(demodulation,[status(thm)],[c_24500,c_8063,c_24533]) ).

cnf(c_24565,plain,
    meet(complement(join(X0,X1)),X0) = zero,
    inference(demodulation,[status(thm)],[c_24564,c_1015]) ).

cnf(c_25018,plain,
    meet(complement(join(X0,sk3)),sP3_iProver_def) = zero,
    inference(superposition,[status(thm)],[c_11904,c_24565]) ).

cnf(c_28460,plain,
    meet(meet(complement(sk3),X0),sP3_iProver_def) = zero,
    inference(superposition,[status(thm)],[c_8063,c_25018]) ).

cnf(c_32180,plain,
    meet(sP3_iProver_def,meet(complement(sk3),X0)) = zero,
    inference(superposition,[status(thm)],[c_28460,c_3089]) ).

cnf(c_33812,plain,
    meet(sP3_iProver_def,composition(converse(sP1_iProver_def),complement(sP2_iProver_def))) = zero,
    inference(superposition,[status(thm)],[c_13291,c_32180]) ).

cnf(c_37273,plain,
    join(meet(sP4_iProver_def,complement(sP2_iProver_def)),composition(meet(sP1_iProver_def,composition(complement(sP2_iProver_def),converse(sP3_iProver_def))),zero)) = composition(meet(sP1_iProver_def,composition(complement(sP2_iProver_def),converse(sP3_iProver_def))),zero),
    inference(superposition,[status(thm)],[c_33812,c_1003]) ).

cnf(c_46819,plain,
    join(zero,composition(top,complement(composition(top,top)))) = zero,
    inference(superposition,[status(thm)],[c_5032,c_1401]) ).

cnf(c_46863,plain,
    composition(top,complement(composition(top,top))) = zero,
    inference(ac_demodulation,[status(thm)],[c_46819,c_7785,c_54,c_53]) ).

cnf(c_46973,plain,
    composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
    inference(superposition,[status(thm)],[c_46863,c_59]) ).

cnf(c_46979,plain,
    composition(join(X0,composition(X1,top)),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),composition(X1,zero)),
    inference(superposition,[status(thm)],[c_46863,c_1179]) ).

cnf(c_46983,plain,
    composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
    inference(theory_normalisation,[status(thm)],[c_46973,c_54,c_53]) ).

cnf(c_46984,plain,
    composition(X0,complement(composition(top,top))) = zero,
    inference(demodulation,[status(thm)],[c_46983,c_3496,c_7785,c_46863]) ).

cnf(c_46989,plain,
    join(zero,composition(X0,zero)) = zero,
    inference(demodulation,[status(thm)],[c_46979,c_46984]) ).

cnf(c_46990,plain,
    composition(X0,zero) = zero,
    inference(ac_demodulation,[status(thm)],[c_46989,c_7785,c_54,c_53]) ).

cnf(c_47196,plain,
    join(meet(sP4_iProver_def,complement(sP2_iProver_def)),zero) = zero,
    inference(demodulation,[status(thm)],[c_37273,c_46990]) ).

cnf(c_47230,plain,
    join(zero,meet(sP4_iProver_def,complement(sP2_iProver_def))) = zero,
    inference(theory_normalisation,[status(thm)],[c_47196,c_54,c_53]) ).

cnf(c_47231,plain,
    meet(sP4_iProver_def,complement(sP2_iProver_def)) = zero,
    inference(ac_demodulation,[status(thm)],[c_47230,c_7785,c_54,c_53]) ).

cnf(c_47540,plain,
    join(meet(sP2_iProver_def,sP4_iProver_def),zero) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_47231,c_9416]) ).

cnf(c_47542,plain,
    join(zero,meet(sP2_iProver_def,sP4_iProver_def)) = sP4_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_47540,c_54,c_53]) ).

cnf(c_47543,plain,
    meet(sP2_iProver_def,sP4_iProver_def) = sP4_iProver_def,
    inference(ac_demodulation,[status(thm)],[c_47542,c_7785,c_54,c_53]) ).

cnf(c_47607,plain,
    join(sP2_iProver_def,sP4_iProver_def) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_47543,c_16445]) ).

cnf(c_47633,plain,
    sP2_iProver_def = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_133,c_47607]) ).

cnf(c_47935,plain,
    sP2_iProver_def != sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_135,c_47633]) ).

cnf(c_47936,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_47935]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : REL024-2 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.09  % Command  : run_iprover %s %d THM
% 0.13/0.28  % Computer : n032.cluster.edu
% 0.13/0.28  % Model    : x86_64 x86_64
% 0.13/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.28  % Memory   : 8042.1875MB
% 0.13/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.28  % CPULimit : 300
% 0.13/0.28  % WCLimit  : 300
% 0.13/0.28  % DateTime : Sun Jun 23 05:30:39 EDT 2024
% 0.13/0.28  % CPUTime  : 
% 0.13/0.37  Running UEQ theorem proving
% 0.13/0.37  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 135.28/18.05  % SZS status Started for theBenchmark.p
% 135.28/18.05  % SZS status Unsatisfiable for theBenchmark.p
% 135.28/18.05  
% 135.28/18.05  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 135.28/18.05  
% 135.28/18.05  ------  iProver source info
% 135.28/18.05  
% 135.28/18.05  git: date: 2024-06-12 09:56:46 +0000
% 135.28/18.05  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 135.28/18.05  git: non_committed_changes: false
% 135.28/18.05  
% 135.28/18.05  ------ Parsing...successful
% 135.28/18.05  
% 135.28/18.05  
% 135.28/18.05  
% 135.28/18.05  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 135.28/18.05  
% 135.28/18.05  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 135.28/18.05  
% 135.28/18.05  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 135.28/18.05  ------ Proving...
% 135.28/18.05  ------ Problem Properties 
% 135.28/18.05  
% 135.28/18.05  
% 135.28/18.05  clauses                                 23
% 135.28/18.05  conjectures                             1
% 135.28/18.05  EPR                                     1
% 135.28/18.05  Horn                                    23
% 135.28/18.05  unary                                   23
% 135.28/18.05  binary                                  0
% 135.28/18.05  lits                                    23
% 135.28/18.05  lits eq                                 23
% 135.28/18.05  fd_pure                                 0
% 135.28/18.05  fd_pseudo                               0
% 135.28/18.05  fd_cond                                 0
% 135.28/18.05  fd_pseudo_cond                          0
% 135.28/18.05  AC symbols                              1
% 135.28/18.05  
% 135.28/18.05  ------ Input Options Time Limit: Unbounded
% 135.28/18.05  
% 135.28/18.05  
% 135.28/18.05  ------ 
% 135.28/18.05  Current options:
% 135.28/18.05  ------ 
% 135.28/18.05  
% 135.28/18.05  
% 135.28/18.05  
% 135.28/18.05  
% 135.28/18.05  ------ Proving...
% 135.28/18.05  
% 135.28/18.05  
% 135.28/18.05  % SZS status Unsatisfiable for theBenchmark.p
% 135.28/18.05  
% 135.28/18.05  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 135.28/18.05  
% 135.28/18.05  
%------------------------------------------------------------------------------