TSTP Solution File: REL050-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : REL050-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 02:56:52 EDT 2024

% Result   : Unsatisfiable 12.30s 2.13s
% Output   : CNFRefutation 12.30s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    composition(complement(composition(sk1,top)),top) != complement(composition(sk1,top)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).

cnf(c_50,plain,
    join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).

cnf(c_51,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_52,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_53,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_54,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_55,plain,
    composition(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).

cnf(c_56,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_57,plain,
    converse(converse(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).

cnf(c_58,plain,
    join(converse(X0),converse(X1)) = converse(join(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).

cnf(c_59,plain,
    composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).

cnf(c_60,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_61,plain,
    join(X0,complement(X0)) = top,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_top_12) ).

cnf(c_62,plain,
    meet(X0,complement(X0)) = zero,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_zero_13) ).

cnf(c_76,plain,
    join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_52,c_51,c_50]) ).

cnf(c_77,plain,
    join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
    inference(theory_normalisation,[status(thm)],[c_60,c_51,c_50]) ).

cnf(c_108,plain,
    join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
    inference(light_normalisation,[status(thm)],[c_76,c_53]) ).

cnf(c_109,plain,
    join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
    inference(theory_normalisation,[status(thm)],[c_108,c_51,c_50]) ).

cnf(c_118,plain,
    composition(sk1,top) = sP0_iProver_def,
    definition ).

cnf(c_119,plain,
    complement(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_120,plain,
    composition(sP1_iProver_def,top) = sP2_iProver_def,
    definition ).

cnf(c_121,negated_conjecture,
    sP2_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_49,c_118,c_119,c_120]) ).

cnf(c_203,plain,
    join(sP0_iProver_def,sP1_iProver_def) = top,
    inference(superposition,[status(thm)],[c_119,c_61]) ).

cnf(c_205,plain,
    join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
    inference(superposition,[status(thm)],[c_57,c_77]) ).

cnf(c_206,plain,
    join(complement(top),composition(converse(sk1),complement(sP0_iProver_def))) = complement(top),
    inference(superposition,[status(thm)],[c_118,c_77]) ).

cnf(c_209,plain,
    join(complement(top),composition(converse(sk1),sP1_iProver_def)) = complement(top),
    inference(light_normalisation,[status(thm)],[c_206,c_119]) ).

cnf(c_214,plain,
    complement(join(complement(X0),complement(X1))) = meet(X1,X0),
    inference(superposition,[status(thm)],[c_50,c_53]) ).

cnf(c_216,plain,
    meet(X0,complement(X0)) = complement(top),
    inference(superposition,[status(thm)],[c_61,c_53]) ).

cnf(c_218,plain,
    complement(join(sP1_iProver_def,complement(X0))) = meet(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_119,c_53]) ).

cnf(c_220,plain,
    complement(join(complement(X0),sP1_iProver_def)) = meet(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_119,c_53]) ).

cnf(c_226,plain,
    complement(top) = zero,
    inference(light_normalisation,[status(thm)],[c_216,c_62]) ).

cnf(c_227,plain,
    complement(join(sP1_iProver_def,complement(X0))) = meet(X0,sP0_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_220,c_51,c_50]) ).

cnf(c_238,plain,
    converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(superposition,[status(thm)],[c_57,c_58]) ).

cnf(c_239,plain,
    converse(join(X0,converse(X1))) = join(converse(X0),X1),
    inference(superposition,[status(thm)],[c_57,c_58]) ).

cnf(c_240,plain,
    join(converse(X0),converse(X1)) = converse(join(X1,X0)),
    inference(superposition,[status(thm)],[c_58,c_50]) ).

cnf(c_246,plain,
    join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
    inference(superposition,[status(thm)],[c_226,c_77]) ).

cnf(c_247,plain,
    join(top,zero) = top,
    inference(superposition,[status(thm)],[c_226,c_61]) ).

cnf(c_336,plain,
    meet(X0,sP0_iProver_def) = meet(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_227,c_218]) ).

cnf(c_422,plain,
    join(zero,complement(join(complement(X0),complement(X0)))) = X0,
    inference(superposition,[status(thm)],[c_62,c_109]) ).

cnf(c_424,plain,
    join(meet(X0,sP0_iProver_def),complement(join(complement(sP0_iProver_def),X0))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_336,c_109]) ).

cnf(c_427,plain,
    join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
    inference(superposition,[status(thm)],[c_53,c_109]) ).

cnf(c_430,plain,
    join(meet(X0,complement(complement(X0))),complement(top)) = X0,
    inference(superposition,[status(thm)],[c_61,c_109]) ).

cnf(c_444,plain,
    join(complement(top),meet(X0,complement(complement(X0)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_430,c_51,c_50]) ).

cnf(c_445,plain,
    join(zero,meet(X0,complement(complement(X0)))) = X0,
    inference(light_normalisation,[status(thm)],[c_444,c_226]) ).

cnf(c_446,plain,
    join(meet(X0,X1),meet(X0,complement(X1))) = X0,
    inference(theory_normalisation,[status(thm)],[c_427,c_51,c_50]) ).

cnf(c_448,plain,
    join(meet(X0,sP0_iProver_def),complement(join(sP1_iProver_def,X0))) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_424,c_119]) ).

cnf(c_505,plain,
    converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
    inference(superposition,[status(thm)],[c_57,c_59]) ).

cnf(c_506,plain,
    converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[status(thm)],[c_57,c_59]) ).

cnf(c_513,plain,
    join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[status(thm)],[c_61,c_51]) ).

cnf(c_517,plain,
    join(top,join(zero,X0)) = join(top,X0),
    inference(superposition,[status(thm)],[c_247,c_51]) ).

cnf(c_544,plain,
    composition(X0,composition(one,X1)) = composition(X0,X1),
    inference(superposition,[status(thm)],[c_55,c_54]) ).

cnf(c_573,plain,
    composition(join(sk1,X0),top) = join(sP0_iProver_def,composition(X0,top)),
    inference(superposition,[status(thm)],[c_118,c_56]) ).

cnf(c_577,plain,
    composition(join(sP1_iProver_def,X0),top) = join(sP2_iProver_def,composition(X0,top)),
    inference(superposition,[status(thm)],[c_120,c_56]) ).

cnf(c_791,plain,
    join(zero,meet(top,complement(zero))) = top,
    inference(superposition,[status(thm)],[c_226,c_445]) ).

cnf(c_1122,plain,
    join(zero,composition(converse(sk1),sP1_iProver_def)) = zero,
    inference(light_normalisation,[status(thm)],[c_209,c_226]) ).

cnf(c_1187,plain,
    meet(X0,X1) = meet(X1,X0),
    inference(superposition,[status(thm)],[c_214,c_53]) ).

cnf(c_1277,plain,
    join(X0,converse(complement(converse(X0)))) = converse(top),
    inference(superposition,[status(thm)],[c_61,c_238]) ).

cnf(c_1718,plain,
    join(zero,meet(X0,X0)) = X0,
    inference(demodulation,[status(thm)],[c_422,c_214]) ).

cnf(c_1722,plain,
    join(top,meet(X0,X0)) = join(top,X0),
    inference(superposition,[status(thm)],[c_1718,c_517]) ).

cnf(c_1953,plain,
    join(meet(X0,top),meet(X0,zero)) = X0,
    inference(superposition,[status(thm)],[c_226,c_446]) ).

cnf(c_1954,plain,
    join(meet(X0,sP0_iProver_def),meet(X0,sP1_iProver_def)) = X0,
    inference(superposition,[status(thm)],[c_119,c_446]) ).

cnf(c_2001,plain,
    join(meet(top,X0),meet(X0,zero)) = X0,
    inference(superposition,[status(thm)],[c_1187,c_1953]) ).

cnf(c_2021,plain,
    join(meet(X0,sP0_iProver_def),meet(sP1_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_1187,c_1954]) ).

cnf(c_2035,plain,
    join(meet(complement(sP1_iProver_def),sP0_iProver_def),complement(top)) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_61,c_448]) ).

cnf(c_2044,plain,
    join(complement(top),meet(complement(sP1_iProver_def),sP0_iProver_def)) = sP0_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_2035,c_51,c_50]) ).

cnf(c_2045,plain,
    join(zero,meet(complement(sP1_iProver_def),sP0_iProver_def)) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_2044,c_226]) ).

cnf(c_2145,plain,
    join(meet(top,X0),meet(zero,X0)) = X0,
    inference(superposition,[status(thm)],[c_1187,c_2001]) ).

cnf(c_2208,plain,
    join(meet(complement(sP1_iProver_def),sP0_iProver_def),zero) = complement(sP1_iProver_def),
    inference(superposition,[status(thm)],[c_62,c_2021]) ).

cnf(c_2213,plain,
    join(zero,meet(complement(sP1_iProver_def),sP0_iProver_def)) = complement(sP1_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_2208,c_51,c_50]) ).

cnf(c_2214,plain,
    complement(sP1_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_2213,c_2045]) ).

cnf(c_2361,plain,
    join(meet(top,complement(zero)),zero) = complement(zero),
    inference(superposition,[status(thm)],[c_62,c_2145]) ).

cnf(c_2364,plain,
    join(zero,meet(top,complement(zero))) = complement(zero),
    inference(theory_normalisation,[status(thm)],[c_2361,c_51,c_50]) ).

cnf(c_2365,plain,
    complement(zero) = top,
    inference(light_normalisation,[status(thm)],[c_2364,c_791]) ).

cnf(c_2647,plain,
    complement(join(complement(X0),top)) = meet(X0,zero),
    inference(superposition,[status(thm)],[c_2365,c_53]) ).

cnf(c_2654,plain,
    complement(join(top,complement(X0))) = meet(X0,zero),
    inference(theory_normalisation,[status(thm)],[c_2647,c_51,c_50]) ).

cnf(c_3385,plain,
    complement(join(top,top)) = meet(zero,zero),
    inference(superposition,[status(thm)],[c_2365,c_2654]) ).

cnf(c_3567,plain,
    join(join(top,top),meet(zero,zero)) = top,
    inference(superposition,[status(thm)],[c_3385,c_61]) ).

cnf(c_3572,plain,
    join(top,join(top,meet(zero,zero))) = top,
    inference(theory_normalisation,[status(thm)],[c_3567,c_51,c_50]) ).

cnf(c_3862,plain,
    join(top,top) = top,
    inference(demodulation,[status(thm)],[c_3572,c_247,c_1722]) ).

cnf(c_3864,plain,
    meet(zero,zero) = complement(top),
    inference(demodulation,[status(thm)],[c_3385,c_3862]) ).

cnf(c_3865,plain,
    meet(zero,zero) = zero,
    inference(light_normalisation,[status(thm)],[c_3864,c_226]) ).

cnf(c_3866,plain,
    join(top,join(top,X0)) = join(top,X0),
    inference(superposition,[status(thm)],[c_3862,c_51]) ).

cnf(c_3870,plain,
    join(zero,zero) = zero,
    inference(superposition,[status(thm)],[c_3865,c_1718]) ).

cnf(c_4186,plain,
    join(top,converse(top)) = converse(top),
    inference(superposition,[status(thm)],[c_1277,c_3866]) ).

cnf(c_4242,plain,
    composition(converse(one),X0) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_55,c_506]) ).

cnf(c_4266,plain,
    composition(converse(one),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_4242,c_57]) ).

cnf(c_4327,plain,
    converse(one) = one,
    inference(superposition,[status(thm)],[c_4266,c_55]) ).

cnf(c_4341,plain,
    composition(converse(one),X0) = composition(one,X0),
    inference(superposition,[status(thm)],[c_4266,c_544]) ).

cnf(c_4344,plain,
    composition(one,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_4341,c_4266]) ).

cnf(c_4775,plain,
    join(zero,join(zero,X0)) = join(zero,X0),
    inference(superposition,[status(thm)],[c_3870,c_51]) ).

cnf(c_4832,plain,
    join(complement(X0),complement(composition(converse(one),X0))) = complement(X0),
    inference(superposition,[status(thm)],[c_4344,c_205]) ).

cnf(c_4837,plain,
    join(complement(X0),complement(X0)) = complement(X0),
    inference(light_normalisation,[status(thm)],[c_4832,c_4327,c_4344]) ).

cnf(c_4857,plain,
    join(converse(top),top) = converse(converse(top)),
    inference(superposition,[status(thm)],[c_4186,c_239]) ).

cnf(c_4858,plain,
    join(top,converse(top)) = converse(converse(top)),
    inference(theory_normalisation,[status(thm)],[c_4857,c_51,c_50]) ).

cnf(c_4859,plain,
    converse(converse(top)) = converse(top),
    inference(light_normalisation,[status(thm)],[c_4858,c_4186]) ).

cnf(c_4861,plain,
    converse(top) = top,
    inference(demodulation,[status(thm)],[c_4859,c_57]) ).

cnf(c_4871,plain,
    composition(top,converse(X0)) = converse(composition(X0,top)),
    inference(superposition,[status(thm)],[c_4861,c_505]) ).

cnf(c_5361,plain,
    join(zero,X0) = X0,
    inference(superposition,[status(thm)],[c_1718,c_4775]) ).

cnf(c_5371,plain,
    composition(converse(sk1),sP1_iProver_def) = zero,
    inference(demodulation,[status(thm)],[c_1122,c_5361]) ).

cnf(c_5375,plain,
    meet(X0,X0) = X0,
    inference(demodulation,[status(thm)],[c_1718,c_5361]) ).

cnf(c_5507,plain,
    join(X0,zero) = X0,
    inference(superposition,[status(thm)],[c_5361,c_50]) ).

cnf(c_5510,plain,
    join(converse(zero),X0) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_5361,c_239]) ).

cnf(c_5516,plain,
    join(converse(zero),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_5510,c_57]) ).

cnf(c_5660,plain,
    composition(converse(sP1_iProver_def),sk1) = converse(zero),
    inference(superposition,[status(thm)],[c_5371,c_506]) ).

cnf(c_6065,plain,
    converse(zero) = zero,
    inference(superposition,[status(thm)],[c_5516,c_5507]) ).

cnf(c_6119,plain,
    composition(converse(X0),complement(composition(X0,top))) = zero,
    inference(demodulation,[status(thm)],[c_246,c_5361]) ).

cnf(c_6120,plain,
    composition(X0,complement(composition(converse(X0),top))) = zero,
    inference(superposition,[status(thm)],[c_57,c_6119]) ).

cnf(c_6142,plain,
    composition(converse(complement(composition(X0,top))),X0) = converse(zero),
    inference(superposition,[status(thm)],[c_6119,c_506]) ).

cnf(c_6148,plain,
    composition(converse(complement(composition(X0,top))),X0) = zero,
    inference(light_normalisation,[status(thm)],[c_6142,c_6065]) ).

cnf(c_6548,plain,
    composition(converse(sP1_iProver_def),sk1) = zero,
    inference(light_normalisation,[status(thm)],[c_5660,c_6065]) ).

cnf(c_6550,plain,
    composition(converse(sP1_iProver_def),composition(sk1,X0)) = composition(zero,X0),
    inference(superposition,[status(thm)],[c_6548,c_54]) ).

cnf(c_6870,plain,
    meet(X0,X0) = complement(complement(X0)),
    inference(superposition,[status(thm)],[c_4837,c_214]) ).

cnf(c_6874,plain,
    complement(complement(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_6870,c_5375]) ).

cnf(c_6910,plain,
    join(X0,X0) = X0,
    inference(superposition,[status(thm)],[c_6874,c_4837]) ).

cnf(c_7052,plain,
    join(X0,join(X0,X1)) = join(X0,X1),
    inference(superposition,[status(thm)],[c_6910,c_51]) ).

cnf(c_7323,plain,
    join(X0,top) = top,
    inference(superposition,[status(thm)],[c_61,c_7052]) ).

cnf(c_7414,plain,
    join(top,X0) = top,
    inference(superposition,[status(thm)],[c_7323,c_50]) ).

cnf(c_8206,plain,
    join(X0,join(complement(X0),X1)) = top,
    inference(demodulation,[status(thm)],[c_513,c_7414]) ).

cnf(c_8233,plain,
    join(meet(X0,join(complement(complement(X0)),X1)),complement(top)) = X0,
    inference(superposition,[status(thm)],[c_8206,c_109]) ).

cnf(c_8256,plain,
    join(complement(top),meet(X0,join(complement(complement(X0)),X1))) = X0,
    inference(theory_normalisation,[status(thm)],[c_8233,c_51,c_50]) ).

cnf(c_8257,plain,
    join(zero,meet(X0,join(X0,X1))) = X0,
    inference(light_normalisation,[status(thm)],[c_8256,c_226,c_6874]) ).

cnf(c_8598,plain,
    composition(top,converse(sP1_iProver_def)) = converse(sP2_iProver_def),
    inference(superposition,[status(thm)],[c_120,c_4871]) ).

cnf(c_8739,plain,
    join(composition(X0,converse(sP1_iProver_def)),converse(sP2_iProver_def)) = composition(join(X0,top),converse(sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_8598,c_56]) ).

cnf(c_8747,plain,
    join(converse(sP2_iProver_def),composition(X0,converse(sP1_iProver_def))) = composition(join(X0,top),converse(sP1_iProver_def)),
    inference(theory_normalisation,[status(thm)],[c_8739,c_51,c_50]) ).

cnf(c_8748,plain,
    join(converse(sP2_iProver_def),composition(X0,converse(sP1_iProver_def))) = converse(sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_8747,c_7323,c_8598]) ).

cnf(c_8907,plain,
    composition(complement(composition(top,top)),complement(zero)) = zero,
    inference(superposition,[status(thm)],[c_6148,c_6120]) ).

cnf(c_8913,plain,
    composition(complement(composition(top,top)),top) = zero,
    inference(light_normalisation,[status(thm)],[c_8907,c_2365]) ).

cnf(c_10055,plain,
    meet(X0,join(X0,X1)) = X0,
    inference(demodulation,[status(thm)],[c_8257,c_5361]) ).

cnf(c_10058,plain,
    meet(X0,join(X1,X0)) = X0,
    inference(superposition,[status(thm)],[c_50,c_10055]) ).

cnf(c_10076,plain,
    meet(meet(X0,X1),X0) = meet(X0,X1),
    inference(superposition,[status(thm)],[c_446,c_10055]) ).

cnf(c_10199,plain,
    meet(X0,join(X1,join(X2,X0))) = X0,
    inference(superposition,[status(thm)],[c_51,c_10058]) ).

cnf(c_10414,plain,
    meet(X0,join(X1,join(X0,X2))) = X0,
    inference(superposition,[status(thm)],[c_50,c_10199]) ).

cnf(c_11582,plain,
    meet(X0,meet(X0,X1)) = meet(X0,X1),
    inference(demodulation,[status(thm)],[c_10076,c_1187]) ).

cnf(c_11587,plain,
    meet(X0,meet(X1,X0)) = meet(X1,X0),
    inference(superposition,[status(thm)],[c_1187,c_11582]) ).

cnf(c_12100,plain,
    composition(converse(sP1_iProver_def),sP0_iProver_def) = composition(zero,top),
    inference(superposition,[status(thm)],[c_118,c_6550]) ).

cnf(c_12720,plain,
    join(converse(sP2_iProver_def),converse(sP1_iProver_def)) = converse(sP2_iProver_def),
    inference(superposition,[status(thm)],[c_4344,c_8748]) ).

cnf(c_12734,plain,
    join(converse(sP1_iProver_def),converse(sP2_iProver_def)) = converse(sP2_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_12720,c_51,c_50]) ).

cnf(c_13560,plain,
    converse(join(sP2_iProver_def,sP1_iProver_def)) = converse(sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_12734,c_240]) ).

cnf(c_13561,plain,
    converse(join(sP1_iProver_def,sP2_iProver_def)) = converse(sP2_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_13560,c_51,c_50]) ).

cnf(c_13574,plain,
    join(sP1_iProver_def,sP2_iProver_def) = converse(converse(sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_13561,c_57]) ).

cnf(c_13634,plain,
    join(sP1_iProver_def,sP2_iProver_def) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_13574,c_57]) ).

cnf(c_13640,plain,
    meet(sP1_iProver_def,join(X0,sP2_iProver_def)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_13634,c_10414]) ).

cnf(c_13757,plain,
    meet(sP1_iProver_def,join(sP2_iProver_def,X0)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_50,c_13640]) ).

cnf(c_23709,plain,
    join(sP0_iProver_def,composition(complement(sk1),top)) = composition(top,top),
    inference(superposition,[status(thm)],[c_61,c_573]) ).

cnf(c_24006,plain,
    meet(sP0_iProver_def,composition(top,top)) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_23709,c_10055]) ).

cnf(c_24121,plain,
    join(sP2_iProver_def,composition(complement(sP1_iProver_def),top)) = composition(top,top),
    inference(superposition,[status(thm)],[c_61,c_577]) ).

cnf(c_24162,plain,
    join(sP2_iProver_def,composition(sP0_iProver_def,top)) = composition(top,top),
    inference(light_normalisation,[status(thm)],[c_24121,c_2214]) ).

cnf(c_24318,plain,
    meet(composition(top,top),sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_24006,c_11587]) ).

cnf(c_24473,plain,
    meet(sP1_iProver_def,composition(top,top)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_24162,c_13757]) ).

cnf(c_24703,plain,
    join(meet(composition(top,top),sP0_iProver_def),sP1_iProver_def) = composition(top,top),
    inference(superposition,[status(thm)],[c_24473,c_2021]) ).

cnf(c_24713,plain,
    join(sP1_iProver_def,meet(composition(top,top),sP0_iProver_def)) = composition(top,top),
    inference(theory_normalisation,[status(thm)],[c_24703,c_51,c_50]) ).

cnf(c_24714,plain,
    composition(top,top) = join(sP1_iProver_def,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_24713,c_24318]) ).

cnf(c_24715,plain,
    composition(top,top) = join(sP0_iProver_def,sP1_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_24714,c_51,c_50]) ).

cnf(c_24716,plain,
    composition(top,top) = top,
    inference(light_normalisation,[status(thm)],[c_24715,c_203]) ).

cnf(c_24739,plain,
    composition(complement(top),top) = zero,
    inference(demodulation,[status(thm)],[c_8913,c_24716]) ).

cnf(c_24746,plain,
    composition(zero,top) = zero,
    inference(light_normalisation,[status(thm)],[c_24739,c_226]) ).

cnf(c_24750,plain,
    composition(converse(sP1_iProver_def),sP0_iProver_def) = zero,
    inference(demodulation,[status(thm)],[c_12100,c_24746]) ).

cnf(c_24905,plain,
    join(complement(sP0_iProver_def),composition(sP1_iProver_def,complement(zero))) = complement(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_24750,c_205]) ).

cnf(c_24907,plain,
    sP1_iProver_def = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_24905,c_119,c_120,c_2365,c_13634]) ).

cnf(c_24978,plain,
    sP1_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_121,c_24907]) ).

cnf(c_24979,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_24978]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : REL050-1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n019.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 19:57:59 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  Running UEQ theorem proving
% 0.18/0.44  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
% 12.30/2.13  % SZS status Started for theBenchmark.p
% 12.30/2.13  % SZS status Unsatisfiable for theBenchmark.p
% 12.30/2.13  
% 12.30/2.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 12.30/2.13  
% 12.30/2.13  ------  iProver source info
% 12.30/2.13  
% 12.30/2.13  git: date: 2024-05-02 19:28:25 +0000
% 12.30/2.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 12.30/2.13  git: non_committed_changes: false
% 12.30/2.13  
% 12.30/2.13  ------ Parsing...successful
% 12.30/2.13  
% 12.30/2.13  
% 12.30/2.13  
% 12.30/2.13  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 12.30/2.13  
% 12.30/2.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 12.30/2.13  
% 12.30/2.13  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 12.30/2.13  ------ Proving...
% 12.30/2.13  ------ Problem Properties 
% 12.30/2.13  
% 12.30/2.13  
% 12.30/2.13  clauses                                 17
% 12.30/2.13  conjectures                             1
% 12.30/2.13  EPR                                     1
% 12.30/2.13  Horn                                    17
% 12.30/2.13  unary                                   17
% 12.30/2.13  binary                                  0
% 12.30/2.13  lits                                    17
% 12.30/2.13  lits eq                                 17
% 12.30/2.13  fd_pure                                 0
% 12.30/2.13  fd_pseudo                               0
% 12.30/2.13  fd_cond                                 0
% 12.30/2.13  fd_pseudo_cond                          0
% 12.30/2.13  AC symbols                              1
% 12.30/2.13  
% 12.30/2.13  ------ Input Options Time Limit: Unbounded
% 12.30/2.13  
% 12.30/2.13  
% 12.30/2.13  ------ 
% 12.30/2.13  Current options:
% 12.30/2.13  ------ 
% 12.30/2.13  
% 12.30/2.13  
% 12.30/2.13  
% 12.30/2.13  
% 12.30/2.13  ------ Proving...
% 12.30/2.13  
% 12.30/2.13  
% 12.30/2.13  % SZS status Unsatisfiable for theBenchmark.p
% 12.30/2.13  
% 12.30/2.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.30/2.13  
% 12.30/2.13  
%------------------------------------------------------------------------------