TSTP Solution File: KLE078+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KLE078+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 10:02:52 EDT 2024
% Result : Theorem 28.59s 4.68s
% Output : CNFRefutation 28.59s
% 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] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f14,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
zero = domain(zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f17,axiom,
! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain5) ).
fof(f18,conjecture,
! [X3] :
( ! [X4] :
( zero = multiplication(domain(X4),antidomain(X4))
& one = addition(domain(X4),antidomain(X4)) )
=> antidomain(X3) = domain(antidomain(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X3] :
( ! [X4] :
( zero = multiplication(domain(X4),antidomain(X4))
& one = addition(domain(X4),antidomain(X4)) )
=> antidomain(X3) = domain(antidomain(X3)) ),
inference(negated_conjecture,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f21,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(rectify,[],[f13]) ).
fof(f22,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f14]) ).
fof(f23,plain,
! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f15]) ).
fof(f24,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(rectify,[],[f17]) ).
fof(f25,plain,
~ ! [X0] :
( ! [X1] :
( zero = multiplication(domain(X1),antidomain(X1))
& one = addition(domain(X1),antidomain(X1)) )
=> antidomain(X0) = domain(antidomain(X0)) ),
inference(rectify,[],[f19]) ).
fof(f26,plain,
? [X0] :
( antidomain(X0) != domain(antidomain(X0))
& ! [X1] :
( zero = multiplication(domain(X1),antidomain(X1))
& one = addition(domain(X1),antidomain(X1)) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f27,plain,
( ? [X0] :
( antidomain(X0) != domain(antidomain(X0))
& ! [X1] :
( zero = multiplication(domain(X1),antidomain(X1))
& one = addition(domain(X1),antidomain(X1)) ) )
=> ( antidomain(sK0) != domain(antidomain(sK0))
& ! [X1] :
( zero = multiplication(domain(X1),antidomain(X1))
& one = addition(domain(X1),antidomain(X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( antidomain(sK0) != domain(antidomain(sK0))
& ! [X1] :
( zero = multiplication(domain(X1),antidomain(X1))
& one = addition(domain(X1),antidomain(X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f26,f27]) ).
fof(f29,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f30,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f20]) ).
fof(f31,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f32,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f33,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f34,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f35,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f36,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f37,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f39,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f40,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f41,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f22]) ).
fof(f42,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
zero = domain(zero),
inference(cnf_transformation,[],[f16]) ).
fof(f44,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f24]) ).
fof(f45,plain,
! [X1] : one = addition(domain(X1),antidomain(X1)),
inference(cnf_transformation,[],[f28]) ).
fof(f46,plain,
! [X1] : zero = multiplication(domain(X1),antidomain(X1)),
inference(cnf_transformation,[],[f28]) ).
fof(f47,plain,
antidomain(sK0) != domain(antidomain(sK0)),
inference(cnf_transformation,[],[f28]) ).
cnf(c_49,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f29]) ).
cnf(c_50,plain,
addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f30]) ).
cnf(c_51,plain,
addition(X0,zero) = X0,
inference(cnf_transformation,[],[f31]) ).
cnf(c_52,plain,
addition(X0,X0) = X0,
inference(cnf_transformation,[],[f32]) ).
cnf(c_53,plain,
multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f33]) ).
cnf(c_54,plain,
multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f34]) ).
cnf(c_55,plain,
multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f35]) ).
cnf(c_56,plain,
addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f36]) ).
cnf(c_57,plain,
addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f37]) ).
cnf(c_59,plain,
multiplication(zero,X0) = zero,
inference(cnf_transformation,[],[f39]) ).
cnf(c_60,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(cnf_transformation,[],[f40]) ).
cnf(c_61,plain,
domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
inference(cnf_transformation,[],[f41]) ).
cnf(c_62,plain,
addition(domain(X0),one) = one,
inference(cnf_transformation,[],[f42]) ).
cnf(c_63,plain,
domain(zero) = zero,
inference(cnf_transformation,[],[f43]) ).
cnf(c_64,plain,
addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
inference(cnf_transformation,[],[f44]) ).
cnf(c_65,negated_conjecture,
domain(antidomain(sK0)) != antidomain(sK0),
inference(cnf_transformation,[],[f47]) ).
cnf(c_66,negated_conjecture,
multiplication(domain(X0),antidomain(X0)) = zero,
inference(cnf_transformation,[],[f46]) ).
cnf(c_67,negated_conjecture,
addition(domain(X0),antidomain(X0)) = one,
inference(cnf_transformation,[],[f45]) ).
cnf(c_83,plain,
addition(one,domain(X0)) = one,
inference(theory_normalisation,[status(thm)],[c_62,c_50,c_49]) ).
cnf(c_129,plain,
antidomain(sK0) = sP0_iProver_def,
definition ).
cnf(c_130,plain,
domain(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_131,negated_conjecture,
addition(domain(X0),antidomain(X0)) = one,
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_132,negated_conjecture,
multiplication(domain(X0),antidomain(X0)) = zero,
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_133,negated_conjecture,
sP1_iProver_def != sP0_iProver_def,
inference(demodulation,[status(thm)],[c_65,c_129,c_130]) ).
cnf(c_214,plain,
addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_218,plain,
addition(domain(sK0),sP0_iProver_def) = one,
inference(superposition,[status(thm)],[c_129,c_131]) ).
cnf(c_219,plain,
addition(sP0_iProver_def,domain(sK0)) = one,
inference(theory_normalisation,[status(thm)],[c_218,c_50,c_49]) ).
cnf(c_222,plain,
addition(one,sP1_iProver_def) = one,
inference(superposition,[status(thm)],[c_130,c_83]) ).
cnf(c_223,plain,
multiplication(sP1_iProver_def,antidomain(sP0_iProver_def)) = zero,
inference(superposition,[status(thm)],[c_130,c_132]) ).
cnf(c_224,plain,
addition(sP1_iProver_def,antidomain(sP0_iProver_def)) = one,
inference(superposition,[status(thm)],[c_130,c_131]) ).
cnf(c_225,plain,
addition(sP1_iProver_def,one) = one,
inference(theory_normalisation,[status(thm)],[c_222,c_50,c_49]) ).
cnf(c_226,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_240,plain,
domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[status(thm)],[c_55,c_61]) ).
cnf(c_246,plain,
addition(domain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = one,
inference(superposition,[status(thm)],[c_61,c_131]) ).
cnf(c_249,plain,
domain(domain(X0)) = domain(X0),
inference(light_normalisation,[status(thm)],[c_240,c_55]) ).
cnf(c_265,plain,
addition(domain(X0),addition(X1,antidomain(X0))) = addition(X1,one),
inference(superposition,[status(thm)],[c_131,c_214]) ).
cnf(c_289,plain,
addition(domain(sP1_iProver_def),domain(antidomain(sP0_iProver_def))) = domain(one),
inference(superposition,[status(thm)],[c_224,c_64]) ).
cnf(c_292,plain,
multiplication(addition(domain(X0),domain(X1)),antidomain(addition(X0,X1))) = zero,
inference(superposition,[status(thm)],[c_64,c_132]) ).
cnf(c_307,plain,
addition(one,addition(domain(X0),X1)) = addition(one,X1),
inference(superposition,[status(thm)],[c_83,c_50]) ).
cnf(c_323,plain,
multiplication(domain(X0),multiplication(antidomain(X0),X1)) = multiplication(zero,X1),
inference(superposition,[status(thm)],[c_132,c_53]) ).
cnf(c_348,plain,
domain(sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_130,c_249]) ).
cnf(c_351,plain,
multiplication(domain(X0),antidomain(domain(X0))) = zero,
inference(superposition,[status(thm)],[c_249,c_132]) ).
cnf(c_355,plain,
multiplication(sP1_iProver_def,antidomain(sP1_iProver_def)) = zero,
inference(superposition,[status(thm)],[c_348,c_132]) ).
cnf(c_356,plain,
addition(sP1_iProver_def,antidomain(sP1_iProver_def)) = one,
inference(superposition,[status(thm)],[c_348,c_131]) ).
cnf(c_411,plain,
addition(domain(X0),antidomain(X0)) = addition(antidomain(X0),one),
inference(superposition,[status(thm)],[c_52,c_265]) ).
cnf(c_436,plain,
addition(domain(X0),antidomain(X0)) = addition(one,antidomain(X0)),
inference(theory_normalisation,[status(thm)],[c_411,c_50,c_49]) ).
cnf(c_437,plain,
addition(one,antidomain(X0)) = one,
inference(light_normalisation,[status(thm)],[c_436,c_131]) ).
cnf(c_444,plain,
addition(one,sP0_iProver_def) = one,
inference(superposition,[status(thm)],[c_129,c_437]) ).
cnf(c_451,plain,
addition(sP0_iProver_def,one) = one,
inference(theory_normalisation,[status(thm)],[c_444,c_50,c_49]) ).
cnf(c_486,plain,
multiplication(domain(X0),multiplication(antidomain(X0),X1)) = zero,
inference(demodulation,[status(thm)],[c_323,c_59]) ).
cnf(c_491,plain,
multiplication(domain(X0),multiplication(antidomain(domain(X0)),X1)) = zero,
inference(superposition,[status(thm)],[c_249,c_486]) ).
cnf(c_552,plain,
addition(domain(zero),antidomain(multiplication(domain(X0),domain(multiplication(antidomain(X0),X1))))) = one,
inference(superposition,[status(thm)],[c_486,c_246]) ).
cnf(c_583,plain,
addition(zero,antidomain(multiplication(domain(X0),domain(multiplication(antidomain(X0),X1))))) = one,
inference(light_normalisation,[status(thm)],[c_552,c_63]) ).
cnf(c_619,plain,
addition(multiplication(X0,domain(X1)),multiplication(X0,antidomain(X1))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_131,c_56]) ).
cnf(c_620,plain,
addition(multiplication(X0,one),multiplication(X0,domain(X1))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_83,c_56]) ).
cnf(c_623,plain,
addition(multiplication(X0,sP0_iProver_def),multiplication(X0,domain(sK0))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_219,c_56]) ).
cnf(c_624,plain,
addition(multiplication(X0,sP1_iProver_def),multiplication(X0,antidomain(sP0_iProver_def))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_224,c_56]) ).
cnf(c_625,plain,
addition(multiplication(X0,sP1_iProver_def),multiplication(X0,one)) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_225,c_56]) ).
cnf(c_631,plain,
addition(multiplication(X0,one),multiplication(X0,antidomain(X1))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_437,c_56]) ).
cnf(c_643,plain,
addition(multiplication(X0,sP1_iProver_def),X0) = X0,
inference(light_normalisation,[status(thm)],[c_625,c_54]) ).
cnf(c_644,plain,
addition(X0,multiplication(X0,sP1_iProver_def)) = X0,
inference(theory_normalisation,[status(thm)],[c_643,c_50,c_49]) ).
cnf(c_647,plain,
addition(X0,multiplication(X0,antidomain(X1))) = X0,
inference(light_normalisation,[status(thm)],[c_631,c_54]) ).
cnf(c_649,plain,
addition(multiplication(X0,sP1_iProver_def),multiplication(X0,antidomain(sP0_iProver_def))) = X0,
inference(light_normalisation,[status(thm)],[c_624,c_54]) ).
cnf(c_650,plain,
addition(multiplication(X0,sP0_iProver_def),multiplication(X0,domain(sK0))) = X0,
inference(light_normalisation,[status(thm)],[c_623,c_54]) ).
cnf(c_651,plain,
addition(X0,multiplication(X0,domain(X1))) = X0,
inference(light_normalisation,[status(thm)],[c_620,c_54]) ).
cnf(c_652,plain,
addition(multiplication(X0,domain(X1)),multiplication(X0,antidomain(X1))) = X0,
inference(light_normalisation,[status(thm)],[c_619,c_54]) ).
cnf(c_669,plain,
addition(multiplication(domain(X0),X1),multiplication(antidomain(X0),X1)) = multiplication(one,X1),
inference(superposition,[status(thm)],[c_131,c_57]) ).
cnf(c_670,plain,
addition(multiplication(one,X0),multiplication(domain(X1),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_83,c_57]) ).
cnf(c_673,plain,
addition(multiplication(sP0_iProver_def,X0),multiplication(domain(sK0),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_219,c_57]) ).
cnf(c_674,plain,
addition(multiplication(sP1_iProver_def,X0),multiplication(antidomain(sP0_iProver_def),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_224,c_57]) ).
cnf(c_675,plain,
addition(multiplication(sP1_iProver_def,X0),multiplication(one,X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_225,c_57]) ).
cnf(c_680,plain,
addition(multiplication(sP1_iProver_def,X0),multiplication(antidomain(sP1_iProver_def),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_356,c_57]) ).
cnf(c_695,plain,
addition(multiplication(sP1_iProver_def,X0),X0) = X0,
inference(light_normalisation,[status(thm)],[c_675,c_55]) ).
cnf(c_696,plain,
addition(X0,multiplication(sP1_iProver_def,X0)) = X0,
inference(theory_normalisation,[status(thm)],[c_695,c_50,c_49]) ).
cnf(c_699,plain,
addition(multiplication(sP1_iProver_def,X0),multiplication(antidomain(sP1_iProver_def),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_680,c_55]) ).
cnf(c_700,plain,
addition(multiplication(sP1_iProver_def,X0),multiplication(antidomain(sP0_iProver_def),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_674,c_55]) ).
cnf(c_701,plain,
addition(multiplication(sP0_iProver_def,X0),multiplication(domain(sK0),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_673,c_55]) ).
cnf(c_702,plain,
addition(X0,multiplication(domain(X1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_670,c_55]) ).
cnf(c_704,plain,
multiplication(domain(X0),X0) = X0,
inference(demodulation,[status(thm)],[c_60,c_702]) ).
cnf(c_707,plain,
addition(multiplication(X0,sP0_iProver_def),multiplication(X0,one)) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_451,c_56]) ).
cnf(c_714,plain,
addition(multiplication(X0,sP0_iProver_def),X0) = X0,
inference(light_normalisation,[status(thm)],[c_707,c_54]) ).
cnf(c_715,plain,
addition(X0,multiplication(X0,sP0_iProver_def)) = X0,
inference(theory_normalisation,[status(thm)],[c_714,c_50,c_49]) ).
cnf(c_719,plain,
multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))) = multiplication(X0,domain(X1)),
inference(superposition,[status(thm)],[c_61,c_704]) ).
cnf(c_722,plain,
multiplication(sP1_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_130,c_704]) ).
cnf(c_729,plain,
domain(one) = one,
inference(superposition,[status(thm)],[c_704,c_54]) ).
cnf(c_776,plain,
addition(multiplication(domain(X0),antidomain(addition(X0,X1))),multiplication(domain(X1),antidomain(addition(X0,X1)))) = zero,
inference(demodulation,[status(thm)],[c_292,c_57]) ).
cnf(c_884,plain,
addition(multiplication(domain(X0),X1),multiplication(antidomain(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_669,c_55]) ).
cnf(c_893,plain,
addition(zero,multiplication(antidomain(X0),antidomain(domain(X0)))) = antidomain(domain(X0)),
inference(superposition,[status(thm)],[c_351,c_884]) ).
cnf(c_963,plain,
addition(sP1_iProver_def,domain(antidomain(sP0_iProver_def))) = one,
inference(light_normalisation,[status(thm)],[c_289,c_348,c_729]) ).
cnf(c_969,plain,
addition(multiplication(sP1_iProver_def,X0),multiplication(domain(antidomain(sP0_iProver_def)),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_963,c_57]) ).
cnf(c_972,plain,
addition(multiplication(sP1_iProver_def,X0),multiplication(domain(antidomain(sP0_iProver_def)),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_969,c_55]) ).
cnf(c_1090,plain,
addition(X0,addition(multiplication(X0,sP1_iProver_def),X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_644,c_50]) ).
cnf(c_1115,plain,
addition(multiplication(domain(X0),antidomain(X0)),multiplication(domain(multiplication(sP1_iProver_def,X0)),antidomain(X0))) = zero,
inference(superposition,[status(thm)],[c_696,c_776]) ).
cnf(c_1128,plain,
addition(zero,multiplication(domain(multiplication(sP1_iProver_def,X0)),antidomain(X0))) = zero,
inference(light_normalisation,[status(thm)],[c_1115,c_132]) ).
cnf(c_1196,plain,
multiplication(domain(multiplication(sP1_iProver_def,X0)),antidomain(X0)) = zero,
inference(demodulation,[status(thm)],[c_1128,c_226]) ).
cnf(c_1207,plain,
multiplication(domain(multiplication(sP1_iProver_def,sK0)),sP0_iProver_def) = zero,
inference(superposition,[status(thm)],[c_129,c_1196]) ).
cnf(c_1529,plain,
addition(sP1_iProver_def,sP0_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_722,c_715]) ).
cnf(c_1542,plain,
addition(sP0_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_1529,c_50,c_49]) ).
cnf(c_1569,plain,
addition(multiplication(X0,sP0_iProver_def),multiplication(X0,sP1_iProver_def)) = multiplication(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_1542,c_56]) ).
cnf(c_2173,plain,
addition(multiplication(domain(X0),antidomain(X0)),multiplication(domain(multiplication(X0,domain(X1))),antidomain(X0))) = zero,
inference(superposition,[status(thm)],[c_651,c_776]) ).
cnf(c_2193,plain,
addition(zero,multiplication(domain(multiplication(X0,X1)),antidomain(X0))) = zero,
inference(light_normalisation,[status(thm)],[c_2173,c_61,c_132]) ).
cnf(c_2291,plain,
multiplication(domain(multiplication(X0,X1)),antidomain(X0)) = zero,
inference(demodulation,[status(thm)],[c_2193,c_226]) ).
cnf(c_3027,plain,
addition(zero,multiplication(antidomain(multiplication(sP1_iProver_def,sK0)),sP0_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_1207,c_884]) ).
cnf(c_3202,plain,
multiplication(antidomain(X0),antidomain(domain(X0))) = antidomain(domain(X0)),
inference(demodulation,[status(thm)],[c_893,c_226]) ).
cnf(c_3203,plain,
multiplication(sP0_iProver_def,antidomain(domain(sK0))) = antidomain(domain(sK0)),
inference(superposition,[status(thm)],[c_129,c_3202]) ).
cnf(c_3211,plain,
multiplication(antidomain(sP0_iProver_def),antidomain(sP1_iProver_def)) = antidomain(sP1_iProver_def),
inference(superposition,[status(thm)],[c_130,c_3202]) ).
cnf(c_3449,plain,
addition(antidomain(sP0_iProver_def),antidomain(sP1_iProver_def)) = antidomain(sP0_iProver_def),
inference(superposition,[status(thm)],[c_3211,c_647]) ).
cnf(c_5267,plain,
addition(one,multiplication(domain(X0),antidomain(X1))) = addition(one,domain(X0)),
inference(superposition,[status(thm)],[c_647,c_307]) ).
cnf(c_5338,plain,
addition(one,multiplication(domain(X0),antidomain(X1))) = one,
inference(light_normalisation,[status(thm)],[c_5267,c_83]) ).
cnf(c_6251,plain,
addition(sP0_iProver_def,antidomain(domain(sK0))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_3203,c_647]) ).
cnf(c_6265,plain,
addition(sP0_iProver_def,addition(antidomain(domain(sK0)),X0)) = addition(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_6251,c_50]) ).
cnf(c_7810,plain,
addition(sP0_iProver_def,multiplication(sP1_iProver_def,domain(sK0))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_722,c_650]) ).
cnf(c_7844,plain,
addition(domain(sP0_iProver_def),domain(multiplication(sP1_iProver_def,domain(sK0)))) = domain(sP1_iProver_def),
inference(superposition,[status(thm)],[c_7810,c_64]) ).
cnf(c_7849,plain,
addition(sP1_iProver_def,domain(multiplication(sP1_iProver_def,domain(sK0)))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_7844,c_130,c_348]) ).
cnf(c_8359,plain,
addition(sP1_iProver_def,domain(multiplication(sP1_iProver_def,sK0))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_7849,c_61]) ).
cnf(c_8362,plain,
addition(multiplication(domain(sP1_iProver_def),antidomain(sP1_iProver_def)),multiplication(domain(domain(multiplication(sP1_iProver_def,sK0))),antidomain(sP1_iProver_def))) = zero,
inference(superposition,[status(thm)],[c_8359,c_776]) ).
cnf(c_8374,plain,
addition(zero,multiplication(domain(domain(multiplication(sP1_iProver_def,sK0))),antidomain(sP1_iProver_def))) = zero,
inference(light_normalisation,[status(thm)],[c_8362,c_348,c_355]) ).
cnf(c_8379,plain,
addition(zero,multiplication(antidomain(sP1_iProver_def),antidomain(sP0_iProver_def))) = antidomain(sP0_iProver_def),
inference(superposition,[status(thm)],[c_223,c_699]) ).
cnf(c_8454,plain,
multiplication(antidomain(sP1_iProver_def),antidomain(sP0_iProver_def)) = antidomain(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_8379,c_226]) ).
cnf(c_8469,plain,
addition(antidomain(sP1_iProver_def),antidomain(sP0_iProver_def)) = antidomain(sP1_iProver_def),
inference(superposition,[status(thm)],[c_8454,c_647]) ).
cnf(c_8477,plain,
addition(antidomain(sP0_iProver_def),antidomain(sP1_iProver_def)) = antidomain(sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_8469,c_50,c_49]) ).
cnf(c_8478,plain,
antidomain(sP0_iProver_def) = antidomain(sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_8477,c_3449]) ).
cnf(c_8503,plain,
addition(zero,multiplication(domain(domain(multiplication(sP1_iProver_def,sK0))),antidomain(sP0_iProver_def))) = zero,
inference(light_normalisation,[status(thm)],[c_8374,c_8478]) ).
cnf(c_8504,plain,
multiplication(domain(multiplication(sP1_iProver_def,sK0)),antidomain(sP0_iProver_def)) = zero,
inference(demodulation,[status(thm)],[c_8503,c_226,c_249]) ).
cnf(c_8515,plain,
addition(multiplication(domain(multiplication(sP1_iProver_def,sK0)),sP1_iProver_def),zero) = domain(multiplication(sP1_iProver_def,sK0)),
inference(superposition,[status(thm)],[c_8504,c_649]) ).
cnf(c_8520,plain,
addition(zero,multiplication(domain(multiplication(sP1_iProver_def,sK0)),sP1_iProver_def)) = domain(multiplication(sP1_iProver_def,sK0)),
inference(theory_normalisation,[status(thm)],[c_8515,c_50,c_49]) ).
cnf(c_11394,plain,
addition(multiplication(X0,one),multiplication(X0,multiplication(domain(X1),antidomain(X2)))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_5338,c_56]) ).
cnf(c_11406,plain,
addition(X0,multiplication(X0,multiplication(domain(X1),antidomain(X2)))) = X0,
inference(light_normalisation,[status(thm)],[c_11394,c_54]) ).
cnf(c_24783,plain,
antidomain(multiplication(domain(X0),domain(multiplication(antidomain(X0),X1)))) = one,
inference(demodulation,[status(thm)],[c_583,c_226]) ).
cnf(c_26121,plain,
addition(multiplication(sP1_iProver_def,antidomain(antidomain(sP0_iProver_def))),zero) = antidomain(antidomain(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_132,c_972]) ).
cnf(c_26150,plain,
addition(zero,multiplication(sP1_iProver_def,antidomain(antidomain(sP0_iProver_def)))) = antidomain(antidomain(sP0_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_26121,c_50,c_49]) ).
cnf(c_26333,plain,
multiplication(sP1_iProver_def,antidomain(antidomain(sP0_iProver_def))) = antidomain(antidomain(sP0_iProver_def)),
inference(demodulation,[status(thm)],[c_26150,c_226]) ).
cnf(c_30989,plain,
addition(sP0_iProver_def,multiplication(domain(sK0),sP1_iProver_def)) = addition(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_701,c_1090]) ).
cnf(c_31113,plain,
addition(sP0_iProver_def,multiplication(domain(sK0),sP1_iProver_def)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_30989,c_1542]) ).
cnf(c_36768,plain,
addition(zero,multiplication(domain(multiplication(sP1_iProver_def,sK0)),sP1_iProver_def)) = multiplication(domain(multiplication(sP1_iProver_def,sK0)),sP1_iProver_def),
inference(superposition,[status(thm)],[c_1207,c_1569]) ).
cnf(c_36804,plain,
multiplication(domain(multiplication(sP1_iProver_def,sK0)),sP1_iProver_def) = domain(multiplication(sP1_iProver_def,sK0)),
inference(light_normalisation,[status(thm)],[c_36768,c_8520]) ).
cnf(c_50073,plain,
addition(sP0_iProver_def,antidomain(domain(sK0))) = addition(sP0_iProver_def,zero),
inference(superposition,[status(thm)],[c_51,c_6265]) ).
cnf(c_52278,plain,
multiplication(antidomain(multiplication(sP1_iProver_def,sK0)),sP0_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_3027,c_226]) ).
cnf(c_52335,plain,
antidomain(multiplication(domain(multiplication(sP1_iProver_def,sK0)),domain(sP0_iProver_def))) = one,
inference(superposition,[status(thm)],[c_52278,c_24783]) ).
cnf(c_52380,plain,
antidomain(domain(multiplication(sP1_iProver_def,sK0))) = one,
inference(light_normalisation,[status(thm)],[c_52335,c_130,c_36804]) ).
cnf(c_53409,plain,
addition(sP0_iProver_def,multiplication(antidomain(domain(sK0)),multiplication(domain(X0),antidomain(X1)))) = addition(sP0_iProver_def,antidomain(domain(sK0))),
inference(superposition,[status(thm)],[c_11406,c_6265]) ).
cnf(c_53418,plain,
addition(sP0_iProver_def,multiplication(antidomain(domain(sK0)),multiplication(domain(X0),antidomain(X1)))) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_53409,c_6251]) ).
cnf(c_53836,plain,
multiplication(domain(multiplication(sP1_iProver_def,sK0)),multiplication(one,X0)) = zero,
inference(superposition,[status(thm)],[c_52380,c_491]) ).
cnf(c_53873,plain,
multiplication(domain(multiplication(sP1_iProver_def,sK0)),X0) = zero,
inference(light_normalisation,[status(thm)],[c_53836,c_55]) ).
cnf(c_55052,plain,
multiplication(sP1_iProver_def,sK0) = zero,
inference(superposition,[status(thm)],[c_53873,c_704]) ).
cnf(c_55966,plain,
addition(zero,multiplication(antidomain(sP0_iProver_def),sK0)) = sK0,
inference(superposition,[status(thm)],[c_55052,c_700]) ).
cnf(c_56630,plain,
multiplication(domain(zero),multiplication(domain(X0),domain(antidomain(X0)))) = multiplication(domain(X0),domain(antidomain(X0))),
inference(superposition,[status(thm)],[c_132,c_719]) ).
cnf(c_56978,plain,
multiplication(zero,multiplication(domain(X0),domain(antidomain(X0)))) = multiplication(domain(X0),domain(antidomain(X0))),
inference(light_normalisation,[status(thm)],[c_56630,c_63]) ).
cnf(c_58358,plain,
multiplication(antidomain(sP0_iProver_def),sK0) = sK0,
inference(demodulation,[status(thm)],[c_55966,c_226]) ).
cnf(c_59120,plain,
multiplication(domain(X0),domain(antidomain(X0))) = zero,
inference(demodulation,[status(thm)],[c_56978,c_59]) ).
cnf(c_59141,plain,
multiplication(sP1_iProver_def,domain(antidomain(sP1_iProver_def))) = zero,
inference(superposition,[status(thm)],[c_348,c_59120]) ).
cnf(c_59299,plain,
multiplication(sP1_iProver_def,domain(antidomain(sP0_iProver_def))) = zero,
inference(light_normalisation,[status(thm)],[c_59141,c_8478]) ).
cnf(c_60250,plain,
addition(zero,multiplication(sP1_iProver_def,antidomain(antidomain(sP0_iProver_def)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_59299,c_652]) ).
cnf(c_60336,plain,
addition(zero,antidomain(antidomain(sP0_iProver_def))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_60250,c_26333]) ).
cnf(c_61889,plain,
antidomain(antidomain(sP0_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_60336,c_226]) ).
cnf(c_62036,plain,
multiplication(domain(multiplication(antidomain(sP0_iProver_def),X0)),sP1_iProver_def) = zero,
inference(superposition,[status(thm)],[c_61889,c_2291]) ).
cnf(c_62777,plain,
multiplication(domain(sK0),sP1_iProver_def) = zero,
inference(superposition,[status(thm)],[c_58358,c_62036]) ).
cnf(c_63232,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_62777,c_53418,c_53409,c_50073,c_31113,c_133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE078+1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n023.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 22:11:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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
% 28.59/4.68 % SZS status Started for theBenchmark.p
% 28.59/4.68 % SZS status Theorem for theBenchmark.p
% 28.59/4.68
% 28.59/4.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 28.59/4.68
% 28.59/4.68 ------ iProver source info
% 28.59/4.68
% 28.59/4.68 git: date: 2024-06-12 09:56:46 +0000
% 28.59/4.68 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 28.59/4.68 git: non_committed_changes: false
% 28.59/4.68
% 28.59/4.68 ------ Parsing...
% 28.59/4.68 ------ Clausification by vclausify_rel & Parsing by iProver...
% 28.59/4.68
% 28.59/4.68 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 28.59/4.68
% 28.59/4.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 28.59/4.68
% 28.59/4.68 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 28.59/4.68 ------ Proving...
% 28.59/4.68 ------ Problem Properties
% 28.59/4.68
% 28.59/4.68
% 28.59/4.68 clauses 21
% 28.59/4.68 conjectures 3
% 28.59/4.68 EPR 1
% 28.59/4.68 Horn 21
% 28.59/4.68 unary 21
% 28.59/4.68 binary 0
% 28.59/4.68 lits 21
% 28.59/4.68 lits eq 21
% 28.59/4.68 fd_pure 0
% 28.59/4.68 fd_pseudo 0
% 28.59/4.68 fd_cond 0
% 28.59/4.68 fd_pseudo_cond 0
% 28.59/4.68 AC symbols 1
% 28.59/4.68
% 28.59/4.68 ------ Schedule UEQ
% 28.59/4.68
% 28.59/4.68 ------ Option_UEQ Time Limit: 10.
% 28.59/4.68
% 28.59/4.68
% 28.59/4.68 ------
% 28.59/4.68 Current options:
% 28.59/4.68 ------
% 28.59/4.68
% 28.59/4.68
% 28.59/4.68
% 28.59/4.68
% 28.59/4.68 ------ Proving...
% 28.59/4.68
% 28.59/4.68
% 28.59/4.68 % SZS status Theorem for theBenchmark.p
% 28.59/4.68
% 28.59/4.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.59/4.68
% 28.59/4.68
%------------------------------------------------------------------------------