TSTP Solution File: KLE111+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KLE111+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 10:03:01 EDT 2024
% Result : Theorem 176.78s 23.80s
% Output : CNFRefutation 176.78s
% 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/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f13,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f15,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f17,axiom,
! [X3] : zero = multiplication(X3,coantidomain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain1) ).
fof(f18,axiom,
! [X3,X4] : coantidomain(multiplication(coantidomain(coantidomain(X3)),X4)) = addition(coantidomain(multiplication(X3,X4)),coantidomain(multiplication(coantidomain(coantidomain(X3)),X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain2) ).
fof(f19,axiom,
! [X3] : one = addition(coantidomain(coantidomain(X3)),coantidomain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain3) ).
fof(f20,axiom,
! [X3] : coantidomain(coantidomain(X3)) = codomain(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain4) ).
fof(f21,axiom,
! [X3] : c(X3) = antidomain(domain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement) ).
fof(f23,axiom,
! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f24,axiom,
! [X3,X4] : backward_diamond(X3,X4) = codomain(multiplication(codomain(X4),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',backward_diamond) ).
fof(f25,axiom,
! [X3,X4] : forward_box(X3,X4) = c(forward_diamond(X3,c(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_box) ).
fof(f27,conjecture,
! [X3,X4] : domain(X4) = addition(backward_diamond(X3,forward_box(X3,domain(X4))),domain(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X3,X4] : domain(X4) = addition(backward_diamond(X3,forward_box(X3,domain(X4))),domain(X4)),
inference(negated_conjecture,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f30,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(rectify,[],[f13]) ).
fof(f32,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(rectify,[],[f15]) ).
fof(f33,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(rectify,[],[f16]) ).
fof(f34,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(rectify,[],[f17]) ).
fof(f35,plain,
! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(rectify,[],[f18]) ).
fof(f36,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(rectify,[],[f19]) ).
fof(f37,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(rectify,[],[f20]) ).
fof(f38,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(rectify,[],[f21]) ).
fof(f40,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f23]) ).
fof(f41,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(rectify,[],[f24]) ).
fof(f42,plain,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(rectify,[],[f25]) ).
fof(f44,plain,
~ ! [X0,X1] : domain(X1) = addition(backward_diamond(X0,forward_box(X0,domain(X1))),domain(X1)),
inference(rectify,[],[f28]) ).
fof(f45,plain,
? [X0,X1] : domain(X1) != addition(backward_diamond(X0,forward_box(X0,domain(X1))),domain(X1)),
inference(ennf_transformation,[],[f44]) ).
fof(f46,plain,
( ? [X0,X1] : domain(X1) != addition(backward_diamond(X0,forward_box(X0,domain(X1))),domain(X1))
=> domain(sK1) != addition(backward_diamond(sK0,forward_box(sK0,domain(sK1))),domain(sK1)) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
domain(sK1) != addition(backward_diamond(sK0,forward_box(sK0,domain(sK1))),domain(sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f45,f46]) ).
fof(f48,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f49,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f51,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f52,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f53,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f54,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f55,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f56,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f58,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f59,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f30]) ).
fof(f61,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f62,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f33]) ).
fof(f63,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f64,plain,
! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(cnf_transformation,[],[f35]) ).
fof(f65,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f66,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(cnf_transformation,[],[f37]) ).
fof(f67,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(cnf_transformation,[],[f38]) ).
fof(f69,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f40]) ).
fof(f70,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(cnf_transformation,[],[f41]) ).
fof(f71,plain,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(cnf_transformation,[],[f42]) ).
fof(f73,plain,
domain(sK1) != addition(backward_diamond(sK0,forward_box(sK0,domain(sK1))),domain(sK1)),
inference(cnf_transformation,[],[f47]) ).
fof(f74,plain,
! [X0] : c(X0) = antidomain(antidomain(antidomain(X0))),
inference(definition_unfolding,[],[f67,f62]) ).
fof(f75,plain,
! [X0,X1] : backward_diamond(X0,X1) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),X0))),
inference(definition_unfolding,[],[f70,f66,f66]) ).
fof(f78,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f69,f62,f62]) ).
fof(f79,plain,
! [X0,X1] : forward_box(X0,X1) = antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(antidomain(X1))))))))))),
inference(definition_unfolding,[],[f71,f74,f78,f74]) ).
fof(f80,plain,
antidomain(antidomain(sK1)) != addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))))))))),sK0))),antidomain(antidomain(sK1))),
inference(definition_unfolding,[],[f73,f62,f75,f79,f62,f62]) ).
cnf(c_49,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f48]) ).
cnf(c_50,plain,
addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f49]) ).
cnf(c_51,plain,
addition(X0,zero) = X0,
inference(cnf_transformation,[],[f50]) ).
cnf(c_52,plain,
addition(X0,X0) = X0,
inference(cnf_transformation,[],[f51]) ).
cnf(c_53,plain,
multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f52]) ).
cnf(c_54,plain,
multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f53]) ).
cnf(c_55,plain,
multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f54]) ).
cnf(c_56,plain,
addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f55]) ).
cnf(c_57,plain,
addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f56]) ).
cnf(c_59,plain,
multiplication(zero,X0) = zero,
inference(cnf_transformation,[],[f58]) ).
cnf(c_60,plain,
multiplication(antidomain(X0),X0) = zero,
inference(cnf_transformation,[],[f59]) ).
cnf(c_62,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(cnf_transformation,[],[f61]) ).
cnf(c_63,plain,
multiplication(X0,coantidomain(X0)) = zero,
inference(cnf_transformation,[],[f63]) ).
cnf(c_64,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
inference(cnf_transformation,[],[f64]) ).
cnf(c_65,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(cnf_transformation,[],[f65]) ).
cnf(c_66,negated_conjecture,
addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))))))))),sK0))),antidomain(antidomain(sK1))) != antidomain(antidomain(sK1)),
inference(cnf_transformation,[],[f80]) ).
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_84,negated_conjecture,
addition(antidomain(antidomain(sK1)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))))))))),sK0)))) != antidomain(antidomain(sK1)),
inference(theory_normalisation,[status(thm)],[c_66,c_50,c_49]) ).
cnf(c_129,plain,
antidomain(sK1) = sP0_iProver_def,
definition ).
cnf(c_130,plain,
antidomain(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_131,plain,
antidomain(sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_132,plain,
antidomain(sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_133,plain,
antidomain(sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_134,plain,
antidomain(sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_135,plain,
antidomain(sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_136,plain,
multiplication(sK0,sP6_iProver_def) = sP7_iProver_def,
definition ).
cnf(c_137,plain,
antidomain(sP7_iProver_def) = sP8_iProver_def,
definition ).
cnf(c_138,plain,
antidomain(sP8_iProver_def) = sP9_iProver_def,
definition ).
cnf(c_139,plain,
antidomain(sP9_iProver_def) = sP10_iProver_def,
definition ).
cnf(c_140,plain,
antidomain(sP10_iProver_def) = sP11_iProver_def,
definition ).
cnf(c_141,plain,
antidomain(sP11_iProver_def) = sP12_iProver_def,
definition ).
cnf(c_142,plain,
coantidomain(sP12_iProver_def) = sP13_iProver_def,
definition ).
cnf(c_143,plain,
coantidomain(sP13_iProver_def) = sP14_iProver_def,
definition ).
cnf(c_144,plain,
multiplication(sP14_iProver_def,sK0) = sP15_iProver_def,
definition ).
cnf(c_145,plain,
coantidomain(sP15_iProver_def) = sP16_iProver_def,
definition ).
cnf(c_146,plain,
coantidomain(sP16_iProver_def) = sP17_iProver_def,
definition ).
cnf(c_147,plain,
addition(sP1_iProver_def,sP17_iProver_def) = sP18_iProver_def,
definition ).
cnf(c_148,negated_conjecture,
sP18_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_84,c_131,c_132,c_133,c_134,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_146,c_129,c_130,c_147]) ).
cnf(c_261,plain,
addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_290,plain,
addition(sP0_iProver_def,antidomain(sP0_iProver_def)) = one,
inference(superposition,[status(thm)],[c_129,c_82]) ).
cnf(c_291,plain,
addition(sP1_iProver_def,antidomain(sP1_iProver_def)) = one,
inference(superposition,[status(thm)],[c_130,c_82]) ).
cnf(c_301,plain,
addition(sP1_iProver_def,sP2_iProver_def) = one,
inference(demodulation,[status(thm)],[c_291,c_131]) ).
cnf(c_302,plain,
addition(sP0_iProver_def,sP1_iProver_def) = one,
inference(demodulation,[status(thm)],[c_290,c_130]) ).
cnf(c_305,plain,
addition(sP8_iProver_def,antidomain(sP8_iProver_def)) = one,
inference(superposition,[status(thm)],[c_137,c_82]) ).
cnf(c_306,plain,
addition(sP8_iProver_def,sP9_iProver_def) = one,
inference(demodulation,[status(thm)],[c_305,c_138]) ).
cnf(c_309,plain,
addition(sP9_iProver_def,antidomain(sP9_iProver_def)) = one,
inference(superposition,[status(thm)],[c_138,c_82]) ).
cnf(c_310,plain,
addition(sP9_iProver_def,sP10_iProver_def) = one,
inference(demodulation,[status(thm)],[c_309,c_139]) ).
cnf(c_337,plain,
addition(sP16_iProver_def,coantidomain(sP16_iProver_def)) = one,
inference(superposition,[status(thm)],[c_145,c_83]) ).
cnf(c_339,plain,
addition(sP16_iProver_def,sP17_iProver_def) = one,
inference(demodulation,[status(thm)],[c_337,c_146]) ).
cnf(c_388,plain,
addition(X0,addition(X1,X0)) = addition(X1,X0),
inference(superposition,[status(thm)],[c_52,c_261]) ).
cnf(c_390,plain,
addition(coantidomain(X0),addition(X1,coantidomain(coantidomain(X0)))) = addition(X1,one),
inference(superposition,[status(thm)],[c_83,c_261]) ).
cnf(c_391,plain,
addition(sP1_iProver_def,addition(X0,sP17_iProver_def)) = addition(X0,sP18_iProver_def),
inference(superposition,[status(thm)],[c_147,c_261]) ).
cnf(c_397,plain,
addition(sP0_iProver_def,addition(X0,sP1_iProver_def)) = addition(X0,one),
inference(superposition,[status(thm)],[c_302,c_261]) ).
cnf(c_398,plain,
addition(X0,addition(addition(X0,X1),X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_261,c_52]) ).
cnf(c_401,plain,
addition(X0,addition(X0,addition(X1,X1))) = addition(X0,X1),
inference(theory_normalisation,[status(thm)],[c_398,c_50,c_49]) ).
cnf(c_402,plain,
addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(demodulation,[status(thm)],[c_401,c_52]) ).
cnf(c_423,plain,
multiplication(sP1_iProver_def,sP0_iProver_def) = zero,
inference(superposition,[status(thm)],[c_130,c_60]) ).
cnf(c_424,plain,
multiplication(sP2_iProver_def,sP1_iProver_def) = zero,
inference(superposition,[status(thm)],[c_131,c_60]) ).
cnf(c_429,plain,
multiplication(sP8_iProver_def,sP7_iProver_def) = zero,
inference(superposition,[status(thm)],[c_137,c_60]) ).
cnf(c_430,plain,
multiplication(sP9_iProver_def,sP8_iProver_def) = zero,
inference(superposition,[status(thm)],[c_138,c_60]) ).
cnf(c_431,plain,
multiplication(sP10_iProver_def,sP9_iProver_def) = zero,
inference(superposition,[status(thm)],[c_139,c_60]) ).
cnf(c_446,plain,
coantidomain(one) = zero,
inference(superposition,[status(thm)],[c_63,c_55]) ).
cnf(c_451,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_482,plain,
addition(sP0_iProver_def,addition(sP1_iProver_def,X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_302,c_50]) ).
cnf(c_495,plain,
addition(zero,coantidomain(zero)) = one,
inference(superposition,[status(thm)],[c_446,c_83]) ).
cnf(c_496,plain,
coantidomain(zero) = one,
inference(demodulation,[status(thm)],[c_495,c_451]) ).
cnf(c_561,plain,
multiplication(sP14_iProver_def,multiplication(sK0,X0)) = multiplication(sP15_iProver_def,X0),
inference(superposition,[status(thm)],[c_144,c_53]) ).
cnf(c_564,plain,
multiplication(X0,multiplication(X1,coantidomain(multiplication(X0,X1)))) = zero,
inference(superposition,[status(thm)],[c_53,c_63]) ).
cnf(c_627,plain,
addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X2,X1)),
inference(superposition,[status(thm)],[c_56,c_49]) ).
cnf(c_655,plain,
addition(X0,multiplication(X1,X0)) = multiplication(addition(one,X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_672,plain,
addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X2,X0),X1),
inference(superposition,[status(thm)],[c_57,c_49]) ).
cnf(c_1140,plain,
addition(zero,multiplication(X0,sP0_iProver_def)) = multiplication(addition(sP1_iProver_def,X0),sP0_iProver_def),
inference(superposition,[status(thm)],[c_423,c_57]) ).
cnf(c_1151,plain,
multiplication(addition(sP1_iProver_def,X0),sP0_iProver_def) = multiplication(X0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_1140,c_451]) ).
cnf(c_1160,plain,
addition(multiplication(sP2_iProver_def,X0),zero) = multiplication(sP2_iProver_def,addition(X0,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_424,c_56]) ).
cnf(c_1165,plain,
addition(zero,multiplication(sP2_iProver_def,X0)) = multiplication(sP2_iProver_def,addition(X0,sP1_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_1160,c_50,c_49]) ).
cnf(c_1166,plain,
multiplication(sP2_iProver_def,addition(X0,sP1_iProver_def)) = multiplication(sP2_iProver_def,X0),
inference(demodulation,[status(thm)],[c_1165,c_451]) ).
cnf(c_1611,plain,
addition(zero,multiplication(X0,sP7_iProver_def)) = multiplication(addition(sP8_iProver_def,X0),sP7_iProver_def),
inference(superposition,[status(thm)],[c_429,c_57]) ).
cnf(c_1622,plain,
multiplication(addition(sP8_iProver_def,X0),sP7_iProver_def) = multiplication(X0,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_1611,c_451]) ).
cnf(c_1643,plain,
addition(zero,multiplication(X0,sP8_iProver_def)) = multiplication(addition(sP9_iProver_def,X0),sP8_iProver_def),
inference(superposition,[status(thm)],[c_430,c_57]) ).
cnf(c_1654,plain,
multiplication(addition(sP9_iProver_def,X0),sP8_iProver_def) = multiplication(X0,sP8_iProver_def),
inference(demodulation,[status(thm)],[c_1643,c_451]) ).
cnf(c_1677,plain,
multiplication(sP10_iProver_def,multiplication(sP9_iProver_def,X0)) = multiplication(zero,X0),
inference(superposition,[status(thm)],[c_431,c_53]) ).
cnf(c_1678,plain,
addition(multiplication(sP10_iProver_def,X0),zero) = multiplication(sP10_iProver_def,addition(X0,sP9_iProver_def)),
inference(superposition,[status(thm)],[c_431,c_56]) ).
cnf(c_1680,plain,
multiplication(sP10_iProver_def,multiplication(sP9_iProver_def,X0)) = zero,
inference(demodulation,[status(thm)],[c_1677,c_59]) ).
cnf(c_1683,plain,
addition(zero,multiplication(sP10_iProver_def,X0)) = multiplication(sP10_iProver_def,addition(X0,sP9_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_1678,c_50,c_49]) ).
cnf(c_1684,plain,
multiplication(sP10_iProver_def,addition(X0,sP9_iProver_def)) = multiplication(sP10_iProver_def,X0),
inference(demodulation,[status(thm)],[c_1683,c_451]) ).
cnf(c_3254,plain,
addition(coantidomain(coantidomain(X0)),one) = one,
inference(superposition,[status(thm)],[c_83,c_388]) ).
cnf(c_3264,plain,
addition(sP1_iProver_def,one) = one,
inference(superposition,[status(thm)],[c_302,c_388]) ).
cnf(c_3286,plain,
addition(one,coantidomain(coantidomain(X0))) = one,
inference(theory_normalisation,[status(thm)],[c_3254,c_50,c_49]) ).
cnf(c_4240,plain,
addition(coantidomain(X0),one) = addition(one,one),
inference(superposition,[status(thm)],[c_3286,c_390]) ).
cnf(c_4253,plain,
addition(one,coantidomain(X0)) = addition(one,one),
inference(theory_normalisation,[status(thm)],[c_4240,c_50,c_49]) ).
cnf(c_4254,plain,
addition(one,coantidomain(X0)) = one,
inference(demodulation,[status(thm)],[c_4253,c_52]) ).
cnf(c_4742,plain,
addition(sP1_iProver_def,one) = addition(sP16_iProver_def,sP18_iProver_def),
inference(superposition,[status(thm)],[c_339,c_391]) ).
cnf(c_4749,plain,
addition(sP16_iProver_def,sP18_iProver_def) = one,
inference(demodulation,[status(thm)],[c_4742,c_3264]) ).
cnf(c_4892,plain,
addition(multiplication(X0,X1),multiplication(addition(X0,X2),X1)) = multiplication(addition(X0,X2),X1),
inference(superposition,[status(thm)],[c_57,c_402]) ).
cnf(c_4895,plain,
addition(sP1_iProver_def,sP18_iProver_def) = sP18_iProver_def,
inference(superposition,[status(thm)],[c_147,c_402]) ).
cnf(c_4938,plain,
multiplication(addition(X0,X1),X2) = multiplication(addition(X1,X0),X2),
inference(demodulation,[status(thm)],[c_4892,c_50,c_388,c_672]) ).
cnf(c_4971,plain,
addition(sP18_iProver_def,one) = one,
inference(superposition,[status(thm)],[c_4749,c_388]) ).
cnf(c_5833,plain,
addition(one,sP18_iProver_def) = addition(sP0_iProver_def,sP18_iProver_def),
inference(superposition,[status(thm)],[c_4895,c_482]) ).
cnf(c_5843,plain,
addition(sP0_iProver_def,sP18_iProver_def) = addition(sP18_iProver_def,one),
inference(theory_normalisation,[status(thm)],[c_5833,c_50,c_49]) ).
cnf(c_5844,plain,
addition(sP0_iProver_def,sP18_iProver_def) = one,
inference(demodulation,[status(thm)],[c_5843,c_4971]) ).
cnf(c_6488,plain,
multiplication(sP14_iProver_def,sP7_iProver_def) = multiplication(sP15_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_136,c_561]) ).
cnf(c_8800,plain,
multiplication(one,sP0_iProver_def) = multiplication(sP2_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_301,c_1151]) ).
cnf(c_8813,plain,
multiplication(sP2_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_8800,c_55]) ).
cnf(c_9648,plain,
multiplication(sP2_iProver_def,one) = multiplication(sP2_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_302,c_1166]) ).
cnf(c_9659,plain,
sP0_iProver_def = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_9648,c_54,c_8813]) ).
cnf(c_9679,plain,
multiplication(sP0_iProver_def,sP1_iProver_def) = zero,
inference(demodulation,[status(thm)],[c_424,c_9659]) ).
cnf(c_9682,plain,
antidomain(sP0_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_132,c_9659]) ).
cnf(c_9683,plain,
antidomain(sP1_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_131,c_9659]) ).
cnf(c_9684,plain,
sP1_iProver_def = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_9682,c_130]) ).
cnf(c_9694,plain,
antidomain(sP1_iProver_def) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_133,c_9684]) ).
cnf(c_9744,plain,
sP0_iProver_def = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_9694,c_9683]) ).
cnf(c_9751,plain,
antidomain(sP0_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_134,c_9744]) ).
cnf(c_9752,plain,
sP1_iProver_def = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_9751,c_130]) ).
cnf(c_9763,plain,
antidomain(sP1_iProver_def) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_135,c_9752]) ).
cnf(c_9764,plain,
sP0_iProver_def = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_9763,c_9683]) ).
cnf(c_9770,plain,
multiplication(sP14_iProver_def,sP7_iProver_def) = multiplication(sP15_iProver_def,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_6488,c_9764]) ).
cnf(c_9782,plain,
addition(zero,multiplication(X0,sP1_iProver_def)) = multiplication(addition(sP0_iProver_def,X0),sP1_iProver_def),
inference(superposition,[status(thm)],[c_9679,c_57]) ).
cnf(c_9790,plain,
multiplication(addition(sP0_iProver_def,X0),sP1_iProver_def) = multiplication(X0,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_9782,c_451]) ).
cnf(c_15728,plain,
multiplication(one,sP7_iProver_def) = multiplication(sP9_iProver_def,sP7_iProver_def),
inference(superposition,[status(thm)],[c_306,c_1622]) ).
cnf(c_15746,plain,
multiplication(sP9_iProver_def,sP7_iProver_def) = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_15728,c_55]) ).
cnf(c_15828,plain,
multiplication(sP10_iProver_def,sP7_iProver_def) = zero,
inference(superposition,[status(thm)],[c_15746,c_1680]) ).
cnf(c_15892,plain,
addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(sP10_iProver_def)),sP7_iProver_def))) = coantidomain(multiplication(coantidomain(coantidomain(sP10_iProver_def)),sP7_iProver_def)),
inference(superposition,[status(thm)],[c_15828,c_64]) ).
cnf(c_15915,plain,
coantidomain(multiplication(coantidomain(coantidomain(sP10_iProver_def)),sP7_iProver_def)) = one,
inference(demodulation,[status(thm)],[c_15892,c_496,c_4254]) ).
cnf(c_17088,plain,
multiplication(coantidomain(coantidomain(sP10_iProver_def)),multiplication(sP7_iProver_def,one)) = zero,
inference(superposition,[status(thm)],[c_15915,c_564]) ).
cnf(c_17091,plain,
multiplication(coantidomain(coantidomain(sP10_iProver_def)),sP7_iProver_def) = zero,
inference(demodulation,[status(thm)],[c_17088,c_54]) ).
cnf(c_17448,plain,
multiplication(one,sP8_iProver_def) = multiplication(sP10_iProver_def,sP8_iProver_def),
inference(superposition,[status(thm)],[c_310,c_1654]) ).
cnf(c_17468,plain,
multiplication(sP10_iProver_def,sP8_iProver_def) = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_17448,c_55]) ).
cnf(c_17685,plain,
multiplication(sP10_iProver_def,one) = multiplication(sP10_iProver_def,sP8_iProver_def),
inference(superposition,[status(thm)],[c_306,c_1684]) ).
cnf(c_17703,plain,
sP8_iProver_def = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_17685,c_54,c_17468]) ).
cnf(c_17724,plain,
multiplication(coantidomain(coantidomain(sP8_iProver_def)),sP7_iProver_def) = zero,
inference(demodulation,[status(thm)],[c_17091,c_17703]) ).
cnf(c_17738,plain,
antidomain(sP8_iProver_def) = sP11_iProver_def,
inference(demodulation,[status(thm)],[c_140,c_17703]) ).
cnf(c_17739,plain,
antidomain(sP9_iProver_def) = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_139,c_17703]) ).
cnf(c_17740,plain,
sP9_iProver_def = sP11_iProver_def,
inference(demodulation,[status(thm)],[c_17738,c_138]) ).
cnf(c_17749,plain,
antidomain(sP9_iProver_def) = sP12_iProver_def,
inference(demodulation,[status(thm)],[c_141,c_17740]) ).
cnf(c_17821,plain,
sP8_iProver_def = sP12_iProver_def,
inference(light_normalisation,[status(thm)],[c_17749,c_17739]) ).
cnf(c_17827,plain,
coantidomain(sP8_iProver_def) = sP13_iProver_def,
inference(demodulation,[status(thm)],[c_142,c_17821]) ).
cnf(c_17966,plain,
multiplication(sP14_iProver_def,sP7_iProver_def) = zero,
inference(light_normalisation,[status(thm)],[c_17724,c_143,c_17827]) ).
cnf(c_17967,plain,
multiplication(sP15_iProver_def,sP0_iProver_def) = zero,
inference(demodulation,[status(thm)],[c_9770,c_17966]) ).
cnf(c_18032,plain,
addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(sP15_iProver_def)),sP0_iProver_def))) = coantidomain(multiplication(coantidomain(coantidomain(sP15_iProver_def)),sP0_iProver_def)),
inference(superposition,[status(thm)],[c_17967,c_64]) ).
cnf(c_18059,plain,
coantidomain(multiplication(sP17_iProver_def,sP0_iProver_def)) = one,
inference(demodulation,[status(thm)],[c_18032,c_145,c_146,c_496,c_4254]) ).
cnf(c_18972,plain,
multiplication(sP17_iProver_def,multiplication(sP0_iProver_def,one)) = zero,
inference(superposition,[status(thm)],[c_18059,c_564]) ).
cnf(c_18974,plain,
multiplication(sP17_iProver_def,sP0_iProver_def) = zero,
inference(demodulation,[status(thm)],[c_18972,c_54]) ).
cnf(c_18995,plain,
addition(multiplication(sP17_iProver_def,X0),zero) = multiplication(sP17_iProver_def,addition(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_18974,c_627]) ).
cnf(c_19006,plain,
addition(zero,multiplication(sP17_iProver_def,X0)) = multiplication(sP17_iProver_def,addition(sP0_iProver_def,X0)),
inference(theory_normalisation,[status(thm)],[c_18995,c_50,c_49]) ).
cnf(c_19007,plain,
multiplication(sP17_iProver_def,addition(sP0_iProver_def,X0)) = multiplication(sP17_iProver_def,X0),
inference(demodulation,[status(thm)],[c_19006,c_451]) ).
cnf(c_73525,plain,
multiplication(addition(X0,one),sP1_iProver_def) = multiplication(addition(X0,sP1_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_397,c_9790]) ).
cnf(c_73532,plain,
multiplication(one,sP1_iProver_def) = multiplication(sP18_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_5844,c_9790]) ).
cnf(c_73568,plain,
multiplication(sP18_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_73532,c_55]) ).
cnf(c_98184,plain,
multiplication(sP17_iProver_def,one) = multiplication(sP17_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_302,c_19007]) ).
cnf(c_98237,plain,
multiplication(sP17_iProver_def,sP1_iProver_def) = sP17_iProver_def,
inference(demodulation,[status(thm)],[c_98184,c_54]) ).
cnf(c_98523,plain,
multiplication(addition(one,sP17_iProver_def),sP1_iProver_def) = addition(sP1_iProver_def,sP17_iProver_def),
inference(superposition,[status(thm)],[c_98237,c_655]) ).
cnf(c_98533,plain,
multiplication(addition(sP17_iProver_def,one),sP1_iProver_def) = addition(sP1_iProver_def,sP17_iProver_def),
inference(theory_normalisation,[status(thm)],[c_98523,c_50,c_49]) ).
cnf(c_98534,plain,
sP1_iProver_def = sP18_iProver_def,
inference(demodulation,[status(thm)],[c_98533,c_147,c_4938,c_73568,c_73525]) ).
cnf(c_98647,plain,
sP1_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_148,c_98534]) ).
cnf(c_98648,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_98647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE111+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n024.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 : Thu Jun 20 21:52:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 176.78/23.80 % SZS status Started for theBenchmark.p
% 176.78/23.80 % SZS status Theorem for theBenchmark.p
% 176.78/23.80
% 176.78/23.80 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 176.78/23.80
% 176.78/23.80 ------ iProver source info
% 176.78/23.80
% 176.78/23.80 git: date: 2024-06-12 09:56:46 +0000
% 176.78/23.80 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 176.78/23.80 git: non_committed_changes: false
% 176.78/23.80
% 176.78/23.80 ------ Parsing...
% 176.78/23.80 ------ Clausification by vclausify_rel & Parsing by iProver...
% 176.78/23.80
% 176.78/23.80 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 176.78/23.80
% 176.78/23.80 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 176.78/23.80
% 176.78/23.80 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 176.78/23.80 ------ Proving...
% 176.78/23.80 ------ Problem Properties
% 176.78/23.80
% 176.78/23.80
% 176.78/23.80 clauses 37
% 176.78/23.80 conjectures 1
% 176.78/23.80 EPR 1
% 176.78/23.80 Horn 37
% 176.78/23.80 unary 37
% 176.78/23.80 binary 0
% 176.78/23.80 lits 37
% 176.78/23.80 lits eq 37
% 176.78/23.80 fd_pure 0
% 176.78/23.80 fd_pseudo 0
% 176.78/23.80 fd_cond 0
% 176.78/23.80 fd_pseudo_cond 0
% 176.78/23.80 AC symbols 1
% 176.78/23.80
% 176.78/23.80 ------ Input Options Time Limit: Unbounded
% 176.78/23.80
% 176.78/23.80
% 176.78/23.80 ------
% 176.78/23.80 Current options:
% 176.78/23.80 ------
% 176.78/23.80
% 176.78/23.80
% 176.78/23.80
% 176.78/23.80
% 176.78/23.80 ------ Proving...
% 176.78/23.80
% 176.78/23.80
% 176.78/23.80 % SZS status Theorem for theBenchmark.p
% 176.78/23.80
% 176.78/23.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 176.78/23.80
% 176.78/23.80
%------------------------------------------------------------------------------