TSTP Solution File: REL019-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL019-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 02:56:40 EDT 2024
% Result : Unsatisfiable 188.83s 24.64s
% Output : CNFRefutation 188.83s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
composition(sk1,top) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
cnf(c_50,negated_conjecture,
composition(sk2,top) = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
cnf(c_51,negated_conjecture,
composition(meet(sk1,sk2),top) != meet(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_16) ).
cnf(c_52,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
cnf(c_53,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_54,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_55,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_56,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_57,plain,
composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
cnf(c_58,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_59,plain,
converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
cnf(c_60,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
cnf(c_61,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
cnf(c_62,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_63,plain,
join(X0,complement(X0)) = top,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_top_12) ).
cnf(c_64,plain,
meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
cnf(c_78,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_54,c_53,c_52]) ).
cnf(c_79,plain,
join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_62,c_53,c_52]) ).
cnf(c_114,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_78,c_55]) ).
cnf(c_115,plain,
join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_114,c_53,c_52]) ).
cnf(c_124,plain,
meet(sk1,sk2) = sP0_iProver_def,
definition ).
cnf(c_125,plain,
composition(sP0_iProver_def,top) = sP1_iProver_def,
definition ).
cnf(c_126,plain,
composition(sk2,top) = sP2_iProver_def,
definition ).
cnf(c_127,plain,
composition(sk1,top) = sP3_iProver_def,
definition ).
cnf(c_128,negated_conjecture,
sP1_iProver_def != sP0_iProver_def,
inference(demodulation,[status(thm)],[c_51,c_124,c_125]) ).
cnf(c_129,negated_conjecture,
sP2_iProver_def = sk2,
inference(demodulation,[status(thm)],[c_50,c_126]) ).
cnf(c_130,negated_conjecture,
sP3_iProver_def = sk1,
inference(demodulation,[status(thm)],[c_49,c_127]) ).
cnf(c_220,plain,
meet(sP3_iProver_def,sP2_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_124,c_129,c_130]) ).
cnf(c_221,plain,
composition(sP2_iProver_def,top) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_126,c_129]) ).
cnf(c_228,plain,
composition(sP3_iProver_def,top) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_127,c_130]) ).
cnf(c_230,plain,
complement(join(complement(X0),complement(X1))) = meet(X1,X0),
inference(superposition,[status(thm)],[c_52,c_55]) ).
cnf(c_232,plain,
meet(X0,complement(X0)) = complement(top),
inference(superposition,[status(thm)],[c_63,c_55]) ).
cnf(c_237,plain,
join(join(complement(X0),complement(X1)),meet(X0,X1)) = top,
inference(superposition,[status(thm)],[c_55,c_63]) ).
cnf(c_240,plain,
complement(top) = zero,
inference(light_normalisation,[status(thm)],[c_232,c_64]) ).
cnf(c_241,plain,
join(complement(X0),join(complement(X1),meet(X0,X1))) = top,
inference(theory_normalisation,[status(thm)],[c_237,c_53,c_52]) ).
cnf(c_247,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(superposition,[status(thm)],[c_240,c_55]) ).
cnf(c_249,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_240,c_63]) ).
cnf(c_251,plain,
complement(join(complement(X0),zero)) = meet(X0,top),
inference(superposition,[status(thm)],[c_240,c_55]) ).
cnf(c_252,plain,
complement(join(zero,complement(X0))) = meet(X0,top),
inference(theory_normalisation,[status(thm)],[c_251,c_53,c_52]) ).
cnf(c_306,plain,
meet(X0,top) = meet(top,X0),
inference(superposition,[status(thm)],[c_252,c_247]) ).
cnf(c_343,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_64,c_115]) ).
cnf(c_345,plain,
join(meet(X0,top),complement(join(complement(top),X0))) = top,
inference(superposition,[status(thm)],[c_306,c_115]) ).
cnf(c_349,plain,
join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_55,c_115]) ).
cnf(c_364,plain,
join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_349,c_53,c_52]) ).
cnf(c_366,plain,
join(meet(X0,top),complement(join(zero,X0))) = top,
inference(light_normalisation,[status(thm)],[c_345,c_240]) ).
cnf(c_404,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_59,c_60]) ).
cnf(c_405,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_59,c_60]) ).
cnf(c_406,plain,
join(converse(X0),converse(X1)) = converse(join(X1,X0)),
inference(superposition,[status(thm)],[c_60,c_52]) ).
cnf(c_414,plain,
converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(superposition,[status(thm)],[c_59,c_61]) ).
cnf(c_415,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_59,c_61]) ).
cnf(c_433,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_63,c_53]) ).
cnf(c_435,plain,
join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_115,c_53]) ).
cnf(c_436,plain,
join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_249,c_53]) ).
cnf(c_469,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_57,c_56]) ).
cnf(c_471,plain,
composition(sP0_iProver_def,composition(top,X0)) = composition(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_125,c_56]) ).
cnf(c_644,plain,
composition(join(sP0_iProver_def,X0),top) = join(sP1_iProver_def,composition(X0,top)),
inference(superposition,[status(thm)],[c_125,c_58]) ).
cnf(c_998,plain,
meet(complement(X0),X0) = complement(top),
inference(superposition,[status(thm)],[c_63,c_230]) ).
cnf(c_1024,plain,
meet(X0,X1) = meet(X1,X0),
inference(superposition,[status(thm)],[c_230,c_55]) ).
cnf(c_1025,plain,
join(meet(X0,complement(X1)),meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_230,c_115]) ).
cnf(c_1026,plain,
meet(complement(X0),X0) = zero,
inference(light_normalisation,[status(thm)],[c_998,c_240]) ).
cnf(c_1028,plain,
join(meet(X0,X1),meet(X1,complement(X0))) = X1,
inference(theory_normalisation,[status(thm)],[c_1025,c_53,c_52]) ).
cnf(c_1031,plain,
meet(sP2_iProver_def,sP3_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_220,c_1024]) ).
cnf(c_1673,plain,
join(zero,meet(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_343,c_230]) ).
cnf(c_1677,plain,
join(top,meet(X0,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_1673,c_436]) ).
cnf(c_1756,plain,
join(sP0_iProver_def,meet(sP2_iProver_def,complement(sP3_iProver_def))) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_1031,c_364]) ).
cnf(c_1764,plain,
join(meet(X0,top),meet(X0,zero)) = X0,
inference(superposition,[status(thm)],[c_240,c_364]) ).
cnf(c_1823,plain,
join(meet(complement(zero),top),complement(top)) = top,
inference(superposition,[status(thm)],[c_63,c_366]) ).
cnf(c_1833,plain,
join(complement(top),meet(complement(zero),top)) = top,
inference(theory_normalisation,[status(thm)],[c_1823,c_53,c_52]) ).
cnf(c_1834,plain,
join(zero,meet(complement(zero),top)) = top,
inference(light_normalisation,[status(thm)],[c_1833,c_240]) ).
cnf(c_2102,plain,
join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_63,c_404]) ).
cnf(c_2263,plain,
join(meet(X0,top),meet(zero,X0)) = X0,
inference(superposition,[status(thm)],[c_1024,c_1764]) ).
cnf(c_2330,plain,
join(meet(complement(zero),top),zero) = complement(zero),
inference(superposition,[status(thm)],[c_64,c_2263]) ).
cnf(c_2335,plain,
join(zero,meet(complement(zero),top)) = complement(zero),
inference(theory_normalisation,[status(thm)],[c_2330,c_53,c_52]) ).
cnf(c_2336,plain,
complement(zero) = top,
inference(light_normalisation,[status(thm)],[c_2335,c_1834]) ).
cnf(c_2526,plain,
complement(join(complement(X0),top)) = meet(X0,zero),
inference(superposition,[status(thm)],[c_2336,c_55]) ).
cnf(c_2533,plain,
complement(join(top,complement(X0))) = meet(X0,zero),
inference(theory_normalisation,[status(thm)],[c_2526,c_53,c_52]) ).
cnf(c_2650,plain,
complement(join(top,top)) = meet(zero,zero),
inference(superposition,[status(thm)],[c_2336,c_2533]) ).
cnf(c_2823,plain,
join(join(top,top),meet(zero,zero)) = top,
inference(superposition,[status(thm)],[c_2650,c_63]) ).
cnf(c_2830,plain,
join(top,join(top,meet(zero,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_2823,c_53,c_52]) ).
cnf(c_3502,plain,
join(top,top) = top,
inference(demodulation,[status(thm)],[c_2830,c_249,c_1677]) ).
cnf(c_3504,plain,
meet(zero,zero) = complement(top),
inference(demodulation,[status(thm)],[c_2650,c_3502]) ).
cnf(c_3505,plain,
meet(zero,zero) = zero,
inference(light_normalisation,[status(thm)],[c_3504,c_240]) ).
cnf(c_3506,plain,
join(top,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_3502,c_53]) ).
cnf(c_3526,plain,
join(top,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_2102,c_3506]) ).
cnf(c_3569,plain,
join(zero,zero) = zero,
inference(superposition,[status(thm)],[c_3505,c_1673]) ).
cnf(c_3597,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_3569,c_53]) ).
cnf(c_3728,plain,
join(meet(X0,join(complement(X1),meet(X0,X1))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_241,c_115]) ).
cnf(c_3742,plain,
join(complement(top),meet(X0,join(complement(X1),meet(X0,X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_3728,c_53,c_52]) ).
cnf(c_3743,plain,
join(zero,meet(X0,join(complement(X1),meet(X0,X1)))) = X0,
inference(light_normalisation,[status(thm)],[c_3742,c_240]) ).
cnf(c_3804,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_1673,c_3597]) ).
cnf(c_3813,plain,
meet(X0,top) = complement(complement(X0)),
inference(demodulation,[status(thm)],[c_252,c_3804]) ).
cnf(c_3821,plain,
meet(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_1673,c_3804]) ).
cnf(c_3915,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_57,c_415]) ).
cnf(c_3939,plain,
composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_3915,c_59]) ).
cnf(c_3992,plain,
join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_3804,c_52]) ).
cnf(c_4076,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_3939,c_57]) ).
cnf(c_4093,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_3939,c_469]) ).
cnf(c_4098,plain,
composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_4093,c_3939]) ).
cnf(c_4537,plain,
join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(superposition,[status(thm)],[c_4098,c_58]) ).
cnf(c_5257,plain,
join(converse(top),top) = converse(converse(top)),
inference(superposition,[status(thm)],[c_3526,c_405]) ).
cnf(c_5258,plain,
join(top,converse(top)) = converse(converse(top)),
inference(theory_normalisation,[status(thm)],[c_5257,c_53,c_52]) ).
cnf(c_5259,plain,
converse(converse(top)) = converse(top),
inference(light_normalisation,[status(thm)],[c_5258,c_3526]) ).
cnf(c_5290,plain,
converse(top) = top,
inference(demodulation,[status(thm)],[c_5259,c_59]) ).
cnf(c_5306,plain,
composition(top,converse(X0)) = converse(composition(X0,top)),
inference(superposition,[status(thm)],[c_5290,c_414]) ).
cnf(c_7006,plain,
join(X0,join(X1,complement(X0))) = join(top,X1),
inference(superposition,[status(thm)],[c_52,c_433]) ).
cnf(c_7008,plain,
join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_63,c_433]) ).
cnf(c_7555,plain,
join(sP0_iProver_def,meet(sP3_iProver_def,complement(sP2_iProver_def))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_1031,c_1028]) ).
cnf(c_9074,plain,
join(join(complement(X0),X1),X0) = join(top,meet(X0,X1)),
inference(superposition,[status(thm)],[c_115,c_7006]) ).
cnf(c_9127,plain,
join(X0,join(X1,complement(X0))) = join(top,meet(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_9074,c_53,c_52]) ).
cnf(c_9128,plain,
join(top,meet(X0,X1)) = join(top,X1),
inference(light_normalisation,[status(thm)],[c_9127,c_7006]) ).
cnf(c_9213,plain,
join(top,complement(X0)) = join(top,zero),
inference(superposition,[status(thm)],[c_64,c_9128]) ).
cnf(c_9234,plain,
join(X0,top) = join(top,zero),
inference(demodulation,[status(thm)],[c_7008,c_9213]) ).
cnf(c_9314,plain,
join(X0,top) = top,
inference(demodulation,[status(thm)],[c_9234,c_3992]) ).
cnf(c_9329,plain,
join(top,X0) = top,
inference(superposition,[status(thm)],[c_9314,c_52]) ).
cnf(c_9333,plain,
join(meet(X0,top),complement(top)) = X0,
inference(superposition,[status(thm)],[c_9314,c_115]) ).
cnf(c_9350,plain,
join(complement(top),meet(X0,top)) = X0,
inference(theory_normalisation,[status(thm)],[c_9333,c_53,c_52]) ).
cnf(c_9351,plain,
join(zero,complement(complement(X0))) = X0,
inference(light_normalisation,[status(thm)],[c_9350,c_240,c_3813]) ).
cnf(c_9358,plain,
join(X0,join(X1,complement(X0))) = top,
inference(demodulation,[status(thm)],[c_7006,c_9329]) ).
cnf(c_9359,plain,
join(X0,join(complement(X0),X1)) = top,
inference(demodulation,[status(thm)],[c_433,c_9329]) ).
cnf(c_9676,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_9351,c_3804]) ).
cnf(c_9683,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(superposition,[status(thm)],[c_55,c_9676]) ).
cnf(c_9693,plain,
join(meet(complement(X0),X1),complement(join(X0,X1))) = complement(X0),
inference(superposition,[status(thm)],[c_9676,c_115]) ).
cnf(c_9694,plain,
complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(superposition,[status(thm)],[c_9676,c_55]) ).
cnf(c_9697,plain,
join(X0,composition(converse(X1),complement(composition(X1,complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_9676,c_79]) ).
cnf(c_9703,plain,
complement(join(complement(X0),X1)) = meet(complement(X1),X0),
inference(superposition,[status(thm)],[c_9676,c_230]) ).
cnf(c_9704,plain,
complement(join(complement(X0),X1)) = meet(X0,complement(X1)),
inference(superposition,[status(thm)],[c_9676,c_55]) ).
cnf(c_9709,plain,
join(complement(join(X0,X1)),meet(complement(X0),X1)) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_9693,c_53,c_52]) ).
cnf(c_10895,plain,
complement(meet(complement(X0),X1)) = join(X0,complement(X1)),
inference(superposition,[status(thm)],[c_9676,c_9683]) ).
cnf(c_10906,plain,
join(X0,complement(meet(X1,X0))) = top,
inference(superposition,[status(thm)],[c_9683,c_9358]) ).
cnf(c_11185,plain,
meet(X0,complement(join(complement(complement(X0)),X1))) = complement(top),
inference(superposition,[status(thm)],[c_9359,c_9704]) ).
cnf(c_11224,plain,
meet(X0,complement(join(X0,X1))) = zero,
inference(light_normalisation,[status(thm)],[c_11185,c_240,c_9676]) ).
cnf(c_12969,plain,
join(X0,join(X1,complement(meet(X2,join(X0,X1))))) = top,
inference(superposition,[status(thm)],[c_10906,c_53]) ).
cnf(c_13600,plain,
join(sP1_iProver_def,composition(meet(sP2_iProver_def,complement(sP3_iProver_def)),top)) = composition(sP2_iProver_def,top),
inference(superposition,[status(thm)],[c_1756,c_644]) ).
cnf(c_13604,plain,
join(sP1_iProver_def,composition(meet(sP3_iProver_def,complement(sP2_iProver_def)),top)) = composition(sP3_iProver_def,top),
inference(superposition,[status(thm)],[c_7555,c_644]) ).
cnf(c_13628,plain,
join(sP1_iProver_def,composition(meet(sP3_iProver_def,complement(sP2_iProver_def)),top)) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_13604,c_228]) ).
cnf(c_13629,plain,
join(sP1_iProver_def,composition(meet(sP2_iProver_def,complement(sP3_iProver_def)),top)) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_13600,c_221]) ).
cnf(c_14441,plain,
meet(X0,meet(complement(X0),X1)) = zero,
inference(superposition,[status(thm)],[c_9694,c_11224]) ).
cnf(c_14670,plain,
meet(sP1_iProver_def,complement(sP3_iProver_def)) = zero,
inference(superposition,[status(thm)],[c_13628,c_11224]) ).
cnf(c_15879,plain,
join(meet(sP3_iProver_def,sP1_iProver_def),zero) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_14670,c_1028]) ).
cnf(c_15881,plain,
join(zero,meet(sP3_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_15879,c_53,c_52]) ).
cnf(c_15949,plain,
meet(sP1_iProver_def,sP3_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_15881,c_1024,c_3804]) ).
cnf(c_15951,plain,
join(sP1_iProver_def,meet(sP3_iProver_def,complement(sP1_iProver_def))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_15949,c_1028]) ).
cnf(c_17661,plain,
join(X0,composition(complement(one),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_63,c_4537]) ).
cnf(c_18505,plain,
composition(top,top) = top,
inference(superposition,[status(thm)],[c_17661,c_9329]) ).
cnf(c_18915,plain,
composition(sP0_iProver_def,top) = composition(sP1_iProver_def,top),
inference(superposition,[status(thm)],[c_18505,c_471]) ).
cnf(c_18918,plain,
composition(sP1_iProver_def,top) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_18915,c_125]) ).
cnf(c_18973,plain,
composition(join(sP1_iProver_def,X0),top) = join(sP1_iProver_def,composition(X0,top)),
inference(superposition,[status(thm)],[c_18918,c_58]) ).
cnf(c_20457,plain,
join(meet(X0,X1),join(meet(complement(X1),X0),X2)) = join(X0,X2),
inference(light_normalisation,[status(thm)],[c_435,c_9703]) ).
cnf(c_20516,plain,
join(meet(complement(X0),X0),join(complement(X0),X1)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_3821,c_20457]) ).
cnf(c_20571,plain,
join(complement(X0),join(X1,meet(complement(X0),X0))) = join(complement(X0),X1),
inference(theory_normalisation,[status(thm)],[c_20516,c_53,c_52]) ).
cnf(c_20572,plain,
join(complement(X0),join(X1,zero)) = join(complement(X0),X1),
inference(light_normalisation,[status(thm)],[c_20571,c_1026]) ).
cnf(c_20573,plain,
join(zero,join(X0,complement(X1))) = join(complement(X1),X0),
inference(theory_normalisation,[status(thm)],[c_20572,c_53,c_52]) ).
cnf(c_29559,plain,
join(sP1_iProver_def,composition(meet(sP3_iProver_def,complement(sP1_iProver_def)),top)) = composition(sP3_iProver_def,top),
inference(superposition,[status(thm)],[c_15951,c_18973]) ).
cnf(c_29623,plain,
join(sP1_iProver_def,composition(meet(sP3_iProver_def,complement(sP1_iProver_def)),top)) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_29559,c_228]) ).
cnf(c_30348,plain,
join(sP1_iProver_def,join(composition(meet(sP3_iProver_def,complement(sP1_iProver_def)),top),X0)) = join(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_29623,c_53]) ).
cnf(c_35370,plain,
meet(X0,join(complement(X1),meet(X0,X1))) = X0,
inference(demodulation,[status(thm)],[c_3743,c_3804]) ).
cnf(c_35391,plain,
meet(X0,join(complement(meet(complement(X0),X1)),zero)) = X0,
inference(superposition,[status(thm)],[c_14441,c_35370]) ).
cnf(c_35517,plain,
meet(X0,join(zero,complement(meet(complement(X0),X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_35391,c_53,c_52]) ).
cnf(c_35518,plain,
meet(X0,join(complement(X1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_35517,c_10895,c_20573]) ).
cnf(c_37106,plain,
join(X0,composition(converse(one),complement(complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_4098,c_9697]) ).
cnf(c_37208,plain,
join(X0,X0) = X0,
inference(light_normalisation,[status(thm)],[c_37106,c_4076,c_4098,c_9676]) ).
cnf(c_37626,plain,
join(complement(sP2_iProver_def),meet(complement(sP1_iProver_def),composition(meet(sP2_iProver_def,complement(sP3_iProver_def)),top))) = complement(sP1_iProver_def),
inference(superposition,[status(thm)],[c_13629,c_9709]) ).
cnf(c_40040,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_37208,c_53]) ).
cnf(c_41033,plain,
join(meet(X0,X1),X1) = X1,
inference(superposition,[status(thm)],[c_1028,c_40040]) ).
cnf(c_41280,plain,
join(X0,meet(X1,X0)) = X0,
inference(theory_normalisation,[status(thm)],[c_41033,c_53,c_52]) ).
cnf(c_42298,plain,
join(X0,join(meet(X1,X0),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_41280,c_53]) ).
cnf(c_43050,plain,
join(X0,join(X1,meet(X2,X0))) = join(X0,X1),
inference(superposition,[status(thm)],[c_52,c_42298]) ).
cnf(c_43724,plain,
join(complement(sP2_iProver_def),sP0_iProver_def) = join(complement(sP2_iProver_def),sP3_iProver_def),
inference(superposition,[status(thm)],[c_7555,c_43050]) ).
cnf(c_43951,plain,
join(sP0_iProver_def,complement(sP2_iProver_def)) = join(sP3_iProver_def,complement(sP2_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_43724,c_53,c_52]) ).
cnf(c_48922,plain,
meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_9676,c_35518]) ).
cnf(c_48984,plain,
meet(X0,join(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_52,c_48922]) ).
cnf(c_50134,plain,
meet(X0,composition(top,X0)) = X0,
inference(superposition,[status(thm)],[c_17661,c_48984]) ).
cnf(c_50189,plain,
meet(sP1_iProver_def,join(sP3_iProver_def,X0)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_30348,c_48984]) ).
cnf(c_99903,plain,
join(complement(sP2_iProver_def),complement(sP1_iProver_def)) = complement(sP1_iProver_def),
inference(superposition,[status(thm)],[c_37626,c_40040]) ).
cnf(c_99929,plain,
join(complement(sP1_iProver_def),complement(sP2_iProver_def)) = complement(sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_99903,c_53,c_52]) ).
cnf(c_114736,plain,
composition(top,converse(sP0_iProver_def)) = converse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_125,c_5306]) ).
cnf(c_114884,plain,
meet(converse(sP0_iProver_def),converse(sP1_iProver_def)) = converse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_114736,c_50134]) ).
cnf(c_116744,plain,
join(converse(sP1_iProver_def),converse(sP0_iProver_def)) = converse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_114884,c_41280]) ).
cnf(c_116748,plain,
join(converse(sP0_iProver_def),converse(sP1_iProver_def)) = converse(sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_116744,c_53,c_52]) ).
cnf(c_119464,plain,
converse(join(sP1_iProver_def,sP0_iProver_def)) = converse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_116748,c_406]) ).
cnf(c_119465,plain,
converse(join(sP0_iProver_def,sP1_iProver_def)) = converse(sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_119464,c_53,c_52]) ).
cnf(c_119488,plain,
join(sP0_iProver_def,sP1_iProver_def) = converse(converse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_119465,c_59]) ).
cnf(c_119948,plain,
join(sP0_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_119488,c_59]) ).
cnf(c_119962,plain,
meet(sP0_iProver_def,complement(sP1_iProver_def)) = zero,
inference(superposition,[status(thm)],[c_119948,c_11224]) ).
cnf(c_120137,plain,
join(meet(sP1_iProver_def,sP0_iProver_def),zero) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_119962,c_1028]) ).
cnf(c_120142,plain,
join(zero,meet(sP1_iProver_def,sP0_iProver_def)) = sP0_iProver_def,
inference(theory_normalisation,[status(thm)],[c_120137,c_53,c_52]) ).
cnf(c_274989,plain,
meet(sP1_iProver_def,join(sP0_iProver_def,complement(sP2_iProver_def))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_43951,c_50189]) ).
cnf(c_280708,plain,
join(sP0_iProver_def,join(complement(sP2_iProver_def),complement(sP1_iProver_def))) = top,
inference(superposition,[status(thm)],[c_274989,c_12969]) ).
cnf(c_280715,plain,
join(sP0_iProver_def,join(complement(sP1_iProver_def),complement(sP2_iProver_def))) = top,
inference(theory_normalisation,[status(thm)],[c_280708,c_53,c_52]) ).
cnf(c_280716,plain,
join(sP0_iProver_def,complement(sP1_iProver_def)) = top,
inference(light_normalisation,[status(thm)],[c_280715,c_99929]) ).
cnf(c_280773,plain,
meet(complement(sP0_iProver_def),sP1_iProver_def) = complement(top),
inference(superposition,[status(thm)],[c_280716,c_9694]) ).
cnf(c_280785,plain,
meet(complement(sP0_iProver_def),sP1_iProver_def) = zero,
inference(light_normalisation,[status(thm)],[c_280773,c_240]) ).
cnf(c_280838,plain,
meet(sP1_iProver_def,complement(sP0_iProver_def)) = zero,
inference(demodulation,[status(thm)],[c_280785,c_1024]) ).
cnf(c_280864,plain,
join(meet(sP1_iProver_def,sP0_iProver_def),zero) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_280838,c_364]) ).
cnf(c_280874,plain,
join(zero,meet(sP1_iProver_def,sP0_iProver_def)) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_280864,c_53,c_52]) ).
cnf(c_280875,plain,
sP0_iProver_def = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_280874,c_120142]) ).
cnf(c_281198,plain,
sP0_iProver_def != sP0_iProver_def,
inference(demodulation,[status(thm)],[c_128,c_280875]) ).
cnf(c_281199,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_281198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : REL019-1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n025.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 20:14:13 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running UEQ theorem proving
% 0.17/0.44 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
% 188.83/24.64 % SZS status Started for theBenchmark.p
% 188.83/24.64 % SZS status Unsatisfiable for theBenchmark.p
% 188.83/24.64
% 188.83/24.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 188.83/24.64
% 188.83/24.64 ------ iProver source info
% 188.83/24.64
% 188.83/24.64 git: date: 2024-05-02 19:28:25 +0000
% 188.83/24.64 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 188.83/24.64 git: non_committed_changes: false
% 188.83/24.64
% 188.83/24.64 ------ Parsing...successful
% 188.83/24.64
% 188.83/24.64
% 188.83/24.64
% 188.83/24.64 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 188.83/24.64
% 188.83/24.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 188.83/24.64
% 188.83/24.64 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 188.83/24.64 ------ Proving...
% 188.83/24.64 ------ Problem Properties
% 188.83/24.64
% 188.83/24.64
% 188.83/24.64 clauses 20
% 188.83/24.64 conjectures 3
% 188.83/24.64 EPR 3
% 188.83/24.64 Horn 20
% 188.83/24.64 unary 20
% 188.83/24.64 binary 0
% 188.83/24.64 lits 20
% 188.83/24.64 lits eq 20
% 188.83/24.64 fd_pure 0
% 188.83/24.64 fd_pseudo 0
% 188.83/24.64 fd_cond 0
% 188.83/24.64 fd_pseudo_cond 0
% 188.83/24.64 AC symbols 1
% 188.83/24.64
% 188.83/24.64 ------ Input Options Time Limit: Unbounded
% 188.83/24.64
% 188.83/24.64
% 188.83/24.64 ------
% 188.83/24.64 Current options:
% 188.83/24.64 ------
% 188.83/24.64
% 188.83/24.64
% 188.83/24.64
% 188.83/24.64
% 188.83/24.64 ------ Proving...
% 188.83/24.64
% 188.83/24.64
% 188.83/24.64 % SZS status Unsatisfiable for theBenchmark.p
% 188.83/24.64
% 188.83/24.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 188.83/24.64
% 188.83/24.65
%------------------------------------------------------------------------------