TSTP Solution File: KLE091+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : KLE091+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 : Tue Apr 30 20:24:23 EDT 2024

% Result   : Theorem 12.03s 1.94s
% Output   : CNFRefutation 12.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  121 ( 121 unt;   0 def)
%            Number of atoms       :  121 ( 120 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :  150 ( 149   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B] : addition(A,B) = addition(B,A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A] : addition(A,zero) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A] : addition(A,A) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A] : multiplication(A,one) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [A] : multiplication(one,A) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X0] : multiplication(antidomain(X0),X0) = zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [X0] : multiplication(X0,coantidomain(X0)) = zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,conjecture,
    ! [X0] : domain(codomain(X0)) = codomain(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,negated_conjecture,
    ~ ! [X0] : domain(codomain(X0)) = codomain(X0),
    inference(negated_conjecture,[status(cth)],[f21]) ).

fof(f23,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f24,plain,
    ! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f25,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f26,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f28,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f29,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f30,plain,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f31,plain,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f38,plain,
    ! [X0] : multiplication(antidomain(X0),X0) = zero,
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f39,plain,
    ! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f40,plain,
    ! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f41,plain,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f42,plain,
    ! [X0] : multiplication(X0,coantidomain(X0)) = zero,
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f44,plain,
    ! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f45,plain,
    ! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f46,plain,
    ? [X0] : domain(codomain(X0)) != codomain(X0),
    inference(pre_NNF_transformation,[status(esa)],[f22]) ).

fof(f47,plain,
    domain(codomain(sk0_0)) != codomain(sk0_0),
    inference(skolemization,[status(esa)],[f46]) ).

fof(f48,plain,
    domain(codomain(sk0_0)) != codomain(sk0_0),
    inference(cnf_transformation,[status(esa)],[f47]) ).

fof(f49,plain,
    ! [X0] : domain(antidomain(X0)) = antidomain(domain(X0)),
    inference(paramodulation,[status(thm)],[f41,f41]) ).

fof(f50,plain,
    ! [X0] : codomain(coantidomain(X0)) = coantidomain(codomain(X0)),
    inference(paramodulation,[status(thm)],[f45,f45]) ).

fof(f55,plain,
    ! [X0] : addition(zero,X0) = X0,
    inference(paramodulation,[status(thm)],[f23,f25]) ).

fof(f72,plain,
    ! [X0,X1] : addition(X0,addition(X0,X1)) = addition(X0,X1),
    inference(paramodulation,[status(thm)],[f26,f24]) ).

fof(f97,plain,
    antidomain(one) = zero,
    inference(paramodulation,[status(thm)],[f28,f38]) ).

fof(f98,plain,
    ! [X0] : multiplication(domain(X0),antidomain(X0)) = zero,
    inference(paramodulation,[status(thm)],[f41,f38]) ).

fof(f104,plain,
    domain(one) = antidomain(zero),
    inference(paramodulation,[status(thm)],[f97,f41]) ).

fof(f107,plain,
    ! [X0] : multiplication(coantidomain(X0),codomain(X0)) = zero,
    inference(paramodulation,[status(thm)],[f45,f42]) ).

fof(f143,plain,
    ! [X0,X1] : addition(X0,addition(X1,X0)) = addition(X0,X1),
    inference(paramodulation,[status(thm)],[f23,f72]) ).

fof(f156,plain,
    ! [X0,X1] : multiplication(coantidomain(X0),addition(codomain(X0),X1)) = addition(zero,multiplication(coantidomain(X0),X1)),
    inference(paramodulation,[status(thm)],[f107,f30]) ).

fof(f157,plain,
    ! [X0,X1] : multiplication(coantidomain(X0),addition(codomain(X0),X1)) = multiplication(coantidomain(X0),X1),
    inference(forward_demodulation,[status(thm)],[f55,f156]) ).

fof(f175,plain,
    ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
    inference(paramodulation,[status(thm)],[f28,f30]) ).

fof(f180,plain,
    ! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
    inference(paramodulation,[status(thm)],[f38,f30]) ).

fof(f181,plain,
    ! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = multiplication(antidomain(X0),X1),
    inference(forward_demodulation,[status(thm)],[f25,f180]) ).

fof(f215,plain,
    ! [X0,X1] : multiplication(addition(domain(X0),X1),antidomain(X0)) = addition(zero,multiplication(X1,antidomain(X0))),
    inference(paramodulation,[status(thm)],[f98,f31]) ).

fof(f216,plain,
    ! [X0,X1] : multiplication(addition(domain(X0),X1),antidomain(X0)) = multiplication(X1,antidomain(X0)),
    inference(forward_demodulation,[status(thm)],[f55,f215]) ).

fof(f217,plain,
    ! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
    inference(paramodulation,[status(thm)],[f38,f31]) ).

fof(f218,plain,
    ! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = multiplication(X1,X0),
    inference(forward_demodulation,[status(thm)],[f55,f217]) ).

fof(f232,plain,
    ! [X0,X1] : multiplication(addition(X0,domain(X1)),antidomain(X1)) = addition(multiplication(X0,antidomain(X1)),zero),
    inference(paramodulation,[status(thm)],[f98,f31]) ).

fof(f233,plain,
    ! [X0,X1] : multiplication(addition(X0,domain(X1)),antidomain(X1)) = multiplication(X0,antidomain(X1)),
    inference(forward_demodulation,[status(thm)],[f25,f232]) ).

fof(f241,plain,
    ! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = addition(multiplication(X0,coantidomain(X1)),zero),
    inference(paramodulation,[status(thm)],[f42,f31]) ).

fof(f242,plain,
    ! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = multiplication(X0,coantidomain(X1)),
    inference(forward_demodulation,[status(thm)],[f25,f241]) ).

fof(f259,plain,
    ! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
    inference(forward_demodulation,[status(thm)],[f41,f39]) ).

fof(f260,plain,
    ! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))),
    inference(forward_demodulation,[status(thm)],[f41,f259]) ).

fof(f275,plain,
    ! [X0] : addition(antidomain(zero),antidomain(multiplication(X0,domain(coantidomain(X0))))) = antidomain(multiplication(X0,domain(coantidomain(X0)))),
    inference(paramodulation,[status(thm)],[f42,f260]) ).

fof(f1719,plain,
    ! [X0] : addition(antidomain(X0),antidomain(antidomain(X0))) = one,
    inference(forward_demodulation,[status(thm)],[f23,f40]) ).

fof(f1720,plain,
    ! [X0] : addition(antidomain(X0),domain(X0)) = one,
    inference(forward_demodulation,[status(thm)],[f41,f1719]) ).

fof(f1723,plain,
    addition(zero,domain(one)) = one,
    inference(paramodulation,[status(thm)],[f97,f1720]) ).

fof(f1724,plain,
    domain(one) = one,
    inference(forward_demodulation,[status(thm)],[f55,f1723]) ).

fof(f1725,plain,
    antidomain(zero) = one,
    inference(forward_demodulation,[status(thm)],[f104,f1724]) ).

fof(f1726,plain,
    ! [X0] : addition(domain(X0),domain(antidomain(X0))) = one,
    inference(paramodulation,[status(thm)],[f41,f1720]) ).

fof(f1727,plain,
    ! [X0] : addition(domain(X0),antidomain(domain(X0))) = one,
    inference(forward_demodulation,[status(thm)],[f49,f1726]) ).

fof(f1745,plain,
    ! [X0] : addition(domain(X0),one) = addition(domain(X0),antidomain(X0)),
    inference(paramodulation,[status(thm)],[f1720,f143]) ).

fof(f1746,plain,
    ! [X0] : addition(one,domain(X0)) = addition(domain(X0),antidomain(X0)),
    inference(forward_demodulation,[status(thm)],[f23,f1745]) ).

fof(f1747,plain,
    ! [X0] : addition(one,domain(X0)) = addition(antidomain(X0),domain(X0)),
    inference(forward_demodulation,[status(thm)],[f23,f1746]) ).

fof(f1748,plain,
    ! [X0] : addition(one,domain(X0)) = one,
    inference(forward_demodulation,[status(thm)],[f1720,f1747]) ).

fof(f1749,plain,
    ! [X0] : addition(antidomain(X0),one) = addition(antidomain(X0),domain(X0)),
    inference(paramodulation,[status(thm)],[f1720,f72]) ).

fof(f1750,plain,
    ! [X0] : addition(one,antidomain(X0)) = addition(antidomain(X0),domain(X0)),
    inference(forward_demodulation,[status(thm)],[f23,f1749]) ).

fof(f1751,plain,
    ! [X0] : addition(one,antidomain(X0)) = one,
    inference(forward_demodulation,[status(thm)],[f1720,f1750]) ).

fof(f1768,plain,
    ! [X0] : addition(one,antidomain(multiplication(X0,domain(coantidomain(X0))))) = antidomain(multiplication(X0,domain(coantidomain(X0)))),
    inference(backward_demodulation,[status(thm)],[f1725,f275]) ).

fof(f2006,plain,
    ! [X0] : addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one,
    inference(forward_demodulation,[status(thm)],[f23,f44]) ).

fof(f2007,plain,
    ! [X0] : addition(coantidomain(X0),codomain(X0)) = one,
    inference(forward_demodulation,[status(thm)],[f45,f2006]) ).

fof(f2011,plain,
    ! [X0] : addition(codomain(X0),codomain(coantidomain(X0))) = one,
    inference(paramodulation,[status(thm)],[f45,f2007]) ).

fof(f2012,plain,
    ! [X0] : addition(codomain(X0),coantidomain(codomain(X0))) = one,
    inference(forward_demodulation,[status(thm)],[f50,f2011]) ).

fof(f2023,plain,
    ! [X0] : addition(codomain(X0),one) = addition(codomain(X0),coantidomain(X0)),
    inference(paramodulation,[status(thm)],[f2007,f143]) ).

fof(f2024,plain,
    ! [X0] : addition(one,codomain(X0)) = addition(codomain(X0),coantidomain(X0)),
    inference(forward_demodulation,[status(thm)],[f23,f2023]) ).

fof(f2025,plain,
    ! [X0] : addition(one,codomain(X0)) = addition(coantidomain(X0),codomain(X0)),
    inference(forward_demodulation,[status(thm)],[f23,f2024]) ).

fof(f2026,plain,
    ! [X0] : addition(one,codomain(X0)) = one,
    inference(forward_demodulation,[status(thm)],[f2007,f2025]) ).

fof(f2030,plain,
    ! [X0,X1] : addition(coantidomain(X0),addition(codomain(X0),X1)) = addition(one,X1),
    inference(paramodulation,[status(thm)],[f2007,f24]) ).

fof(f2126,plain,
    ! [X0] : multiplication(one,antidomain(X0)) = multiplication(antidomain(domain(X0)),antidomain(X0)),
    inference(paramodulation,[status(thm)],[f1727,f216]) ).

fof(f2127,plain,
    ! [X0] : antidomain(X0) = multiplication(antidomain(domain(X0)),antidomain(X0)),
    inference(forward_demodulation,[status(thm)],[f29,f2126]) ).

fof(f2369,plain,
    ! [X0] : multiplication(coantidomain(X0),one) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
    inference(paramodulation,[status(thm)],[f2012,f157]) ).

fof(f2370,plain,
    ! [X0] : coantidomain(X0) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
    inference(forward_demodulation,[status(thm)],[f28,f2369]) ).

fof(f2384,plain,
    ! [X0] : one = antidomain(multiplication(X0,domain(coantidomain(X0)))),
    inference(forward_demodulation,[status(thm)],[f1751,f1768]) ).

fof(f2438,plain,
    ! [X0] : multiplication(one,multiplication(X0,domain(coantidomain(X0)))) = zero,
    inference(paramodulation,[status(thm)],[f2384,f38]) ).

fof(f2439,plain,
    ! [X0] : multiplication(X0,domain(coantidomain(X0))) = zero,
    inference(forward_demodulation,[status(thm)],[f29,f2438]) ).

fof(f2569,plain,
    ! [X0,X1] : multiplication(X0,addition(X1,domain(coantidomain(X0)))) = addition(multiplication(X0,X1),zero),
    inference(paramodulation,[status(thm)],[f2439,f30]) ).

fof(f2570,plain,
    ! [X0,X1] : multiplication(X0,addition(X1,domain(coantidomain(X0)))) = multiplication(X0,X1),
    inference(forward_demodulation,[status(thm)],[f25,f2569]) ).

fof(f3563,plain,
    ! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
    inference(paramodulation,[status(thm)],[f1720,f218]) ).

fof(f3564,plain,
    ! [X0] : X0 = multiplication(domain(X0),X0),
    inference(forward_demodulation,[status(thm)],[f29,f3563]) ).

fof(f7752,plain,
    ! [X0,X1] : multiplication(X0,one) = addition(X0,multiplication(X0,codomain(X1))),
    inference(paramodulation,[status(thm)],[f2026,f175]) ).

fof(f7753,plain,
    ! [X0,X1] : X0 = addition(X0,multiplication(X0,codomain(X1))),
    inference(forward_demodulation,[status(thm)],[f28,f7752]) ).

fof(f8069,plain,
    ! [X0] : multiplication(antidomain(domain(X0)),one) = multiplication(antidomain(domain(X0)),antidomain(X0)),
    inference(paramodulation,[status(thm)],[f1720,f181]) ).

fof(f8070,plain,
    ! [X0] : antidomain(domain(X0)) = multiplication(antidomain(domain(X0)),antidomain(X0)),
    inference(forward_demodulation,[status(thm)],[f28,f8069]) ).

fof(f8071,plain,
    ! [X0] : antidomain(domain(X0)) = antidomain(X0),
    inference(forward_demodulation,[status(thm)],[f2127,f8070]) ).

fof(f8201,plain,
    ! [X0] : domain(antidomain(X0)) = antidomain(X0),
    inference(backward_demodulation,[status(thm)],[f8071,f49]) ).

fof(f8382,plain,
    ! [X0] : domain(codomain(X0)) = addition(domain(codomain(X0)),codomain(X0)),
    inference(paramodulation,[status(thm)],[f3564,f7753]) ).

fof(f8383,plain,
    ! [X0] : domain(codomain(X0)) = addition(codomain(X0),domain(codomain(X0))),
    inference(forward_demodulation,[status(thm)],[f23,f8382]) ).

fof(f20604,plain,
    ! [X0] : multiplication(one,coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
    inference(paramodulation,[status(thm)],[f2007,f242]) ).

fof(f20605,plain,
    ! [X0] : coantidomain(codomain(X0)) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
    inference(forward_demodulation,[status(thm)],[f29,f20604]) ).

fof(f20606,plain,
    ! [X0] : coantidomain(codomain(X0)) = coantidomain(X0),
    inference(forward_demodulation,[status(thm)],[f2370,f20605]) ).

fof(f20828,plain,
    ! [X0] : codomain(coantidomain(X0)) = coantidomain(X0),
    inference(backward_demodulation,[status(thm)],[f20606,f50]) ).

fof(f25292,plain,
    ! [X0] : multiplication(X0,one) = multiplication(X0,antidomain(coantidomain(X0))),
    inference(paramodulation,[status(thm)],[f1720,f2570]) ).

fof(f25293,plain,
    ! [X0] : X0 = multiplication(X0,antidomain(coantidomain(X0))),
    inference(forward_demodulation,[status(thm)],[f28,f25292]) ).

fof(f25447,plain,
    ! [X0] : coantidomain(X0) = multiplication(coantidomain(X0),antidomain(codomain(X0))),
    inference(paramodulation,[status(thm)],[f45,f25293]) ).

fof(f51187,plain,
    ! [X0] : addition(coantidomain(X0),domain(codomain(X0))) = addition(one,domain(codomain(X0))),
    inference(paramodulation,[status(thm)],[f8383,f2030]) ).

fof(f51188,plain,
    ! [X0] : addition(coantidomain(X0),domain(codomain(X0))) = one,
    inference(forward_demodulation,[status(thm)],[f1748,f51187]) ).

fof(f51935,plain,
    ! [X0] : multiplication(one,antidomain(codomain(X0))) = multiplication(coantidomain(X0),antidomain(codomain(X0))),
    inference(paramodulation,[status(thm)],[f51188,f233]) ).

fof(f51936,plain,
    ! [X0] : antidomain(codomain(X0)) = multiplication(coantidomain(X0),antidomain(codomain(X0))),
    inference(forward_demodulation,[status(thm)],[f29,f51935]) ).

fof(f51937,plain,
    ! [X0] : antidomain(codomain(X0)) = coantidomain(X0),
    inference(forward_demodulation,[status(thm)],[f25447,f51936]) ).

fof(f52030,plain,
    ! [X0] : antidomain(coantidomain(X0)) = coantidomain(coantidomain(X0)),
    inference(paramodulation,[status(thm)],[f20828,f51937]) ).

fof(f52031,plain,
    ! [X0] : antidomain(coantidomain(X0)) = codomain(X0),
    inference(forward_demodulation,[status(thm)],[f45,f52030]) ).

fof(f52230,plain,
    ! [X0] : domain(codomain(X0)) = antidomain(coantidomain(X0)),
    inference(paramodulation,[status(thm)],[f52031,f8201]) ).

fof(f52231,plain,
    ! [X0] : domain(codomain(X0)) = codomain(X0),
    inference(forward_demodulation,[status(thm)],[f52031,f52230]) ).

fof(f52388,plain,
    codomain(sk0_0) != codomain(sk0_0),
    inference(backward_demodulation,[status(thm)],[f52231,f48]) ).

fof(f52389,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f52388]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KLE091+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Apr 30 00:54:12 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.6.0
% 12.03/1.94  % Refutation found
% 12.03/1.94  % SZS status Theorem for theBenchmark: Theorem is valid
% 12.03/1.94  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 12.87/2.03  % Elapsed time: 1.670937 seconds
% 12.87/2.03  % CPU time: 12.986410 seconds
% 12.87/2.03  % Total memory used: 350.490 MB
% 12.87/2.03  % Net memory used: 343.442 MB
%------------------------------------------------------------------------------