TSTP Solution File: KLE091+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KLE091+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 02:32:53 EDT 2024
% Result : Theorem 76.05s 11.23s
% Output : CNFRefutation 76.05s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f13,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f14,axiom,
! [X3,X4] : antidomain(multiplication(X3,antidomain(antidomain(X4)))) = addition(antidomain(multiplication(X3,X4)),antidomain(multiplication(X3,antidomain(antidomain(X4))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f17,axiom,
! [X3] : zero = multiplication(X3,coantidomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain1) ).
fof(f19,axiom,
! [X3] : one = addition(coantidomain(coantidomain(X3)),coantidomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain3) ).
fof(f20,axiom,
! [X3] : coantidomain(coantidomain(X3)) = codomain(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain4) ).
fof(f21,conjecture,
! [X3] : codomain(X3) = domain(codomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f22,negated_conjecture,
~ ! [X3] : codomain(X3) = domain(codomain(X3)),
inference(negated_conjecture,[],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f24,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(rectify,[],[f13]) ).
fof(f25,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(rectify,[],[f14]) ).
fof(f26,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(rectify,[],[f15]) ).
fof(f27,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(rectify,[],[f16]) ).
fof(f28,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(rectify,[],[f17]) ).
fof(f30,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(rectify,[],[f19]) ).
fof(f31,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(rectify,[],[f20]) ).
fof(f32,plain,
~ ! [X0] : codomain(X0) = domain(codomain(X0)),
inference(rectify,[],[f22]) ).
fof(f33,plain,
? [X0] : codomain(X0) != domain(codomain(X0)),
inference(ennf_transformation,[],[f32]) ).
fof(f34,plain,
( ? [X0] : codomain(X0) != domain(codomain(X0))
=> codomain(sK0) != domain(codomain(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
codomain(sK0) != domain(codomain(sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f33,f34]) ).
fof(f36,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f37,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f23]) ).
fof(f38,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f39,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f41,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f42,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f43,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f44,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f45,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f46,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f47,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f24]) ).
fof(f48,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(cnf_transformation,[],[f25]) ).
fof(f49,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f50,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f27]) ).
fof(f51,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f53,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f54,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(cnf_transformation,[],[f31]) ).
fof(f55,plain,
codomain(sK0) != domain(codomain(sK0)),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
coantidomain(coantidomain(sK0)) != antidomain(antidomain(coantidomain(coantidomain(sK0)))),
inference(definition_unfolding,[],[f55,f54,f50,f54]) ).
cnf(c_49,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f36]) ).
cnf(c_50,plain,
addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f37]) ).
cnf(c_51,plain,
addition(X0,zero) = X0,
inference(cnf_transformation,[],[f38]) ).
cnf(c_52,plain,
addition(X0,X0) = X0,
inference(cnf_transformation,[],[f39]) ).
cnf(c_54,plain,
multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f41]) ).
cnf(c_55,plain,
multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f42]) ).
cnf(c_56,plain,
addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f43]) ).
cnf(c_57,plain,
addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f44]) ).
cnf(c_58,plain,
multiplication(X0,zero) = zero,
inference(cnf_transformation,[],[f45]) ).
cnf(c_59,plain,
multiplication(zero,X0) = zero,
inference(cnf_transformation,[],[f46]) ).
cnf(c_60,plain,
multiplication(antidomain(X0),X0) = zero,
inference(cnf_transformation,[],[f47]) ).
cnf(c_61,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(cnf_transformation,[],[f48]) ).
cnf(c_62,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(cnf_transformation,[],[f49]) ).
cnf(c_63,plain,
multiplication(X0,coantidomain(X0)) = zero,
inference(cnf_transformation,[],[f51]) ).
cnf(c_65,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(cnf_transformation,[],[f53]) ).
cnf(c_66,negated_conjecture,
antidomain(antidomain(coantidomain(coantidomain(sK0)))) != coantidomain(coantidomain(sK0)),
inference(cnf_transformation,[],[f56]) ).
cnf(c_82,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(theory_normalisation,[status(thm)],[c_62,c_50,c_49]) ).
cnf(c_83,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one,
inference(theory_normalisation,[status(thm)],[c_65,c_50,c_49]) ).
cnf(c_128,plain,
coantidomain(sK0) = sP0_iProver_def,
definition ).
cnf(c_129,plain,
coantidomain(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_130,plain,
antidomain(sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_131,plain,
antidomain(sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_132,negated_conjecture,
sP3_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_66,c_128,c_129,c_130,c_131]) ).
cnf(c_251977,plain,
addition(sP2_iProver_def,antidomain(sP2_iProver_def)) = one,
inference(superposition,[status(thm)],[c_130,c_82]) ).
cnf(c_251978,plain,
addition(sP3_iProver_def,antidomain(sP3_iProver_def)) = one,
inference(superposition,[status(thm)],[c_131,c_82]) ).
cnf(c_251979,plain,
addition(sP2_iProver_def,sP3_iProver_def) = one,
inference(light_normalisation,[status(thm)],[c_251977,c_131]) ).
cnf(c_251984,plain,
antidomain(one) = zero,
inference(superposition,[status(thm)],[c_60,c_54]) ).
cnf(c_251986,plain,
addition(zero,antidomain(zero)) = one,
inference(superposition,[status(thm)],[c_251984,c_82]) ).
cnf(c_251989,plain,
multiplication(sP0_iProver_def,sP1_iProver_def) = zero,
inference(superposition,[status(thm)],[c_129,c_63]) ).
cnf(c_251992,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_251996,plain,
antidomain(zero) = one,
inference(demodulation,[status(thm)],[c_251986,c_251992]) ).
cnf(c_252003,plain,
addition(sP0_iProver_def,coantidomain(sP0_iProver_def)) = one,
inference(superposition,[status(thm)],[c_128,c_83]) ).
cnf(c_252004,plain,
addition(sP1_iProver_def,coantidomain(sP1_iProver_def)) = one,
inference(superposition,[status(thm)],[c_129,c_83]) ).
cnf(c_252006,plain,
addition(sP0_iProver_def,sP1_iProver_def) = one,
inference(light_normalisation,[status(thm)],[c_252003,c_129]) ).
cnf(c_252011,plain,
addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_252012,plain,
addition(antidomain(X0),addition(antidomain(antidomain(X0)),X1)) = addition(one,X1),
inference(superposition,[status(thm)],[c_82,c_50]) ).
cnf(c_252042,plain,
addition(X0,multiplication(X0,X1)) = multiplication(X0,addition(one,X1)),
inference(superposition,[status(thm)],[c_54,c_56]) ).
cnf(c_252044,plain,
addition(zero,multiplication(X0,X1)) = multiplication(X0,addition(zero,X1)),
inference(superposition,[status(thm)],[c_58,c_56]) ).
cnf(c_252046,plain,
multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[status(thm)],[c_60,c_56]) ).
cnf(c_252047,plain,
multiplication(X0,addition(coantidomain(X0),X1)) = addition(zero,multiplication(X0,X1)),
inference(superposition,[status(thm)],[c_63,c_56]) ).
cnf(c_252051,plain,
addition(zero,multiplication(sP0_iProver_def,X0)) = multiplication(sP0_iProver_def,addition(sP1_iProver_def,X0)),
inference(superposition,[status(thm)],[c_251989,c_56]) ).
cnf(c_252087,plain,
multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(superposition,[status(thm)],[c_60,c_57]) ).
cnf(c_252097,plain,
addition(multiplication(X0,X1),zero) = multiplication(addition(X0,zero),X1),
inference(superposition,[status(thm)],[c_59,c_57]) ).
cnf(c_252116,plain,
addition(zero,multiplication(X0,X1)) = multiplication(addition(X0,zero),X1),
inference(theory_normalisation,[status(thm)],[c_252097,c_50,c_49]) ).
cnf(c_252117,plain,
multiplication(X0,addition(zero,X1)) = multiplication(X0,X1),
inference(light_normalisation,[status(thm)],[c_252116,c_51,c_252044]) ).
cnf(c_252132,plain,
addition(sP0_iProver_def,addition(sP1_iProver_def,X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_252006,c_50]) ).
cnf(c_252201,plain,
addition(antidomain(X0),one) = one,
inference(superposition,[status(thm)],[c_82,c_252011]) ).
cnf(c_252203,plain,
addition(sP3_iProver_def,one) = one,
inference(superposition,[status(thm)],[c_251978,c_252011]) ).
cnf(c_252205,plain,
addition(sP1_iProver_def,one) = one,
inference(superposition,[status(thm)],[c_252004,c_252011]) ).
cnf(c_252210,plain,
addition(one,antidomain(X0)) = one,
inference(theory_normalisation,[status(thm)],[c_252201,c_50,c_49]) ).
cnf(c_252226,plain,
addition(antidomain(zero),antidomain(multiplication(sP0_iProver_def,antidomain(antidomain(sP1_iProver_def))))) = antidomain(multiplication(sP0_iProver_def,antidomain(antidomain(sP1_iProver_def)))),
inference(superposition,[status(thm)],[c_251989,c_61]) ).
cnf(c_252236,plain,
addition(antidomain(multiplication(X0,sP1_iProver_def)),antidomain(multiplication(X0,antidomain(sP2_iProver_def)))) = antidomain(multiplication(X0,antidomain(sP2_iProver_def))),
inference(superposition,[status(thm)],[c_130,c_61]) ).
cnf(c_252246,plain,
addition(antidomain(multiplication(X0,sP1_iProver_def)),antidomain(multiplication(X0,sP3_iProver_def))) = antidomain(multiplication(X0,sP3_iProver_def)),
inference(light_normalisation,[status(thm)],[c_252236,c_131]) ).
cnf(c_252248,plain,
addition(one,antidomain(multiplication(sP0_iProver_def,sP3_iProver_def))) = antidomain(multiplication(sP0_iProver_def,sP3_iProver_def)),
inference(light_normalisation,[status(thm)],[c_252226,c_130,c_131,c_251996]) ).
cnf(c_252370,plain,
addition(antidomain(X0),addition(one,X1)) = addition(one,X1),
inference(superposition,[status(thm)],[c_252012,c_252011]) ).
cnf(c_252373,plain,
addition(one,addition(X0,antidomain(X1))) = addition(one,X0),
inference(theory_normalisation,[status(thm)],[c_252370,c_50,c_49]) ).
cnf(c_252885,plain,
multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
inference(demodulation,[status(thm)],[c_252046,c_252044,c_252117]) ).
cnf(c_252899,plain,
multiplication(antidomain(sP2_iProver_def),one) = multiplication(antidomain(sP2_iProver_def),sP3_iProver_def),
inference(superposition,[status(thm)],[c_251979,c_252885]) ).
cnf(c_252901,plain,
multiplication(antidomain(sP0_iProver_def),one) = multiplication(antidomain(sP0_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_252006,c_252885]) ).
cnf(c_252924,plain,
multiplication(sP3_iProver_def,one) = multiplication(sP3_iProver_def,sP3_iProver_def),
inference(light_normalisation,[status(thm)],[c_252899,c_131]) ).
cnf(c_253038,plain,
multiplication(sP3_iProver_def,sP3_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_252924,c_54]) ).
cnf(c_253086,plain,
multiplication(antidomain(sP0_iProver_def),sP1_iProver_def) = antidomain(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_252901,c_54]) ).
cnf(c_253150,plain,
multiplication(X0,addition(coantidomain(X0),X1)) = multiplication(X0,X1),
inference(light_normalisation,[status(thm)],[c_252047,c_252044,c_252117]) ).
cnf(c_253163,plain,
multiplication(sP0_iProver_def,addition(sP1_iProver_def,X0)) = multiplication(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_129,c_253150]) ).
cnf(c_253297,plain,
multiplication(sP0_iProver_def,addition(X0,sP1_iProver_def)) = multiplication(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_49,c_253163]) ).
cnf(c_253440,plain,
multiplication(sP0_iProver_def,one) = multiplication(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_252006,c_253297]) ).
cnf(c_253463,plain,
multiplication(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_253440,c_54]) ).
cnf(c_254881,plain,
multiplication(addition(antidomain(X0),X1),X0) = multiplication(X1,X0),
inference(demodulation,[status(thm)],[c_252087,c_252044,c_252117]) ).
cnf(c_254888,plain,
multiplication(antidomain(antidomain(X0)),X0) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_82,c_254881]) ).
cnf(c_254894,plain,
multiplication(addition(sP3_iProver_def,X0),sP2_iProver_def) = multiplication(X0,sP2_iProver_def),
inference(superposition,[status(thm)],[c_131,c_254881]) ).
cnf(c_254914,plain,
multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(light_normalisation,[status(thm)],[c_254888,c_55]) ).
cnf(c_254923,plain,
multiplication(antidomain(sP2_iProver_def),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_130,c_254914]) ).
cnf(c_254941,plain,
multiplication(sP3_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_254923,c_131]) ).
cnf(c_254950,plain,
multiplication(sP3_iProver_def,addition(one,sP1_iProver_def)) = addition(sP3_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_254941,c_252042]) ).
cnf(c_254960,plain,
multiplication(sP3_iProver_def,addition(sP1_iProver_def,one)) = addition(sP1_iProver_def,sP3_iProver_def),
inference(theory_normalisation,[status(thm)],[c_254950,c_50,c_49]) ).
cnf(c_254961,plain,
addition(sP1_iProver_def,sP3_iProver_def) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_254960,c_253038,c_252205,c_252924]) ).
cnf(c_255017,plain,
addition(one,sP3_iProver_def) = addition(sP0_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_254961,c_252132]) ).
cnf(c_255023,plain,
addition(sP0_iProver_def,sP3_iProver_def) = addition(sP3_iProver_def,one),
inference(theory_normalisation,[status(thm)],[c_255017,c_50,c_49]) ).
cnf(c_255024,plain,
addition(sP0_iProver_def,sP3_iProver_def) = one,
inference(light_normalisation,[status(thm)],[c_255023,c_252203]) ).
cnf(c_255203,plain,
multiplication(addition(X0,sP3_iProver_def),sP2_iProver_def) = multiplication(X0,sP2_iProver_def),
inference(superposition,[status(thm)],[c_49,c_254894]) ).
cnf(c_255821,plain,
multiplication(one,sP2_iProver_def) = multiplication(sP0_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_255024,c_255203]) ).
cnf(c_255880,plain,
multiplication(sP0_iProver_def,sP2_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_255821,c_55]) ).
cnf(c_265951,plain,
addition(one,antidomain(multiplication(X0,sP1_iProver_def))) = addition(one,antidomain(multiplication(X0,sP3_iProver_def))),
inference(superposition,[status(thm)],[c_252246,c_252373]) ).
cnf(c_266174,plain,
antidomain(multiplication(sP0_iProver_def,sP3_iProver_def)) = one,
inference(demodulation,[status(thm)],[c_252248,c_252210,c_265951]) ).
cnf(c_266186,plain,
multiplication(one,multiplication(sP0_iProver_def,sP3_iProver_def)) = zero,
inference(superposition,[status(thm)],[c_266174,c_60]) ).
cnf(c_266211,plain,
multiplication(sP0_iProver_def,sP3_iProver_def) = zero,
inference(demodulation,[status(thm)],[c_266186,c_55]) ).
cnf(c_266224,plain,
addition(multiplication(sP0_iProver_def,X0),zero) = multiplication(sP0_iProver_def,addition(X0,sP3_iProver_def)),
inference(superposition,[status(thm)],[c_266211,c_56]) ).
cnf(c_266252,plain,
addition(zero,multiplication(sP0_iProver_def,X0)) = multiplication(sP0_iProver_def,addition(X0,sP3_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_266224,c_50,c_49]) ).
cnf(c_266253,plain,
multiplication(sP0_iProver_def,addition(X0,sP3_iProver_def)) = multiplication(sP0_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_266252,c_252051,c_253163]) ).
cnf(c_266488,plain,
multiplication(sP0_iProver_def,one) = multiplication(sP0_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_251979,c_266253]) ).
cnf(c_266519,plain,
sP0_iProver_def = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_266488,c_253463,c_255880,c_253440]) ).
cnf(c_266636,plain,
antidomain(sP0_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_131,c_266519]) ).
cnf(c_266648,plain,
multiplication(sP3_iProver_def,sP1_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_253086,c_266636]) ).
cnf(c_266649,plain,
sP1_iProver_def = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_266648,c_254941]) ).
cnf(c_266734,plain,
sP1_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_132,c_266649]) ).
cnf(c_266735,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_266734]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE091+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 00:25:34 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 76.05/11.23 % SZS status Started for theBenchmark.p
% 76.05/11.23 % SZS status Theorem for theBenchmark.p
% 76.05/11.23
% 76.05/11.23 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 76.05/11.23
% 76.05/11.23 ------ iProver source info
% 76.05/11.23
% 76.05/11.23 git: date: 2024-05-02 19:28:25 +0000
% 76.05/11.23 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 76.05/11.23 git: non_committed_changes: false
% 76.05/11.23
% 76.05/11.23 ------ Parsing...
% 76.05/11.23 ------ Clausification by vclausify_rel & Parsing by iProver...
% 76.05/11.23
% 76.05/11.23 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 76.05/11.23
% 76.05/11.23 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 76.05/11.23
% 76.05/11.23 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 76.05/11.23 ------ Proving...
% 76.05/11.23 ------ Problem Properties
% 76.05/11.23
% 76.05/11.23
% 76.05/11.23 clauses 22
% 76.05/11.23 conjectures 1
% 76.05/11.23 EPR 1
% 76.05/11.23 Horn 22
% 76.05/11.23 unary 22
% 76.05/11.23 binary 0
% 76.05/11.23 lits 22
% 76.05/11.23 lits eq 22
% 76.05/11.23 fd_pure 0
% 76.05/11.23 fd_pseudo 0
% 76.05/11.23 fd_cond 0
% 76.05/11.23 fd_pseudo_cond 0
% 76.05/11.23 AC symbols 1
% 76.05/11.23
% 76.05/11.23 ------ Schedule UEQ
% 76.05/11.23
% 76.05/11.23 ------ Option_UEQ Time Limit: 10.
% 76.05/11.23
% 76.05/11.23
% 76.05/11.23 ------
% 76.05/11.23 Current options:
% 76.05/11.23 ------
% 76.05/11.23
% 76.05/11.23
% 76.05/11.23
% 76.05/11.23
% 76.05/11.23 ------ Proving...
% 76.05/11.23 Proof_search_loop: time out after: 3594 full_loop iterations
% 76.05/11.23
% 76.05/11.23 ------ Option_UEQ Time Limit: 15.
% 76.05/11.23
% 76.05/11.23
% 76.05/11.23 ------
% 76.05/11.23 Current options:
% 76.05/11.23 ------
% 76.05/11.23
% 76.05/11.23
% 76.05/11.23
% 76.05/11.23
% 76.05/11.23 ------ Proving...
% 76.05/11.23
% 76.05/11.23
% 76.05/11.23 % SZS status Theorem for theBenchmark.p
% 76.05/11.23
% 76.05/11.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 76.05/11.23
% 76.05/11.24
%------------------------------------------------------------------------------