TSTP Solution File: KLE145-10 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : KLE145-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 : Wed May 31 12:15:53 EDT 2023

% Result   : Unsatisfiable 26.50s 3.78s
% Output   : CNFRefutation 27.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  114 ( 114 unt;   0 def)
%            Number of atoms       :  114 ( 113 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-4 aty)
%            Number of variables   :  177 (; 177   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : ifeq3(A,A,B,C) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B,C] : ifeq2(A,A,B,C) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A,B,C] : ifeq(A,A,B,C) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f5,axiom,
    ! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A] : addition(A,zero) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

fof(f9,axiom,
    ! [A] : multiplication(A,one) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [A] : multiplication(one,A) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f15,axiom,
    ! [A] : addition(one,multiplication(star(A),A)) = star(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [A,C,B] : ifeq(leq(addition(multiplication(A,C),B),C),true,leq(multiplication(star(A),B),C),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ! [A] : strong_iteration(A) = addition(star(A),multiplication(strong_iteration(A),zero)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [A,B] : ifeq2(leq(A,B),true,addition(A,B),B) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [A,B] : ifeq3(addition(A,B),B,leq(A,B),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,negated_conjecture,
    star(strong_iteration(sK1_goals_X0)) != strong_iteration(sK1_goals_X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,plain,
    ! [X0,X1,X2] : ifeq3(X0,X0,X1,X2) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f25,plain,
    ! [X0,X1,X2] : ifeq2(X0,X0,X1,X2) = X1,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f26,plain,
    ! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f27,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f28,plain,
    ! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f29,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f30,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f31,plain,
    ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f32,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f33,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f34,plain,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f35,plain,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f36,plain,
    ! [X0] : multiplication(zero,X0) = zero,
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f38,plain,
    ! [X0] : addition(one,multiplication(star(X0),X0)) = star(X0),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f39,plain,
    ! [X0,X1,X2] : ifeq(leq(addition(multiplication(X0,X1),X2),X1),true,leq(multiplication(star(X0),X2),X1),true) = true,
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f41,plain,
    ! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f43,plain,
    ! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f44,plain,
    ! [X0,X1] : ifeq2(leq(X0,X1),true,addition(X0,X1),X1) = X1,
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f45,plain,
    ! [X0,X1] : ifeq3(addition(X0,X1),X1,leq(X0,X1),true) = true,
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f46,plain,
    star(strong_iteration(sK1_goals_X0)) != strong_iteration(sK1_goals_X0),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f48,plain,
    ! [X0] : addition(multiplication(star(X0),X0),one) = star(X0),
    inference(forward_demodulation,[status(thm)],[f27,f38]) ).

fof(f49,plain,
    ! [X0] : strong_iteration(X0) = addition(multiplication(strong_iteration(X0),zero),star(X0)),
    inference(forward_demodulation,[status(thm)],[f27,f43]) ).

fof(f50,plain,
    ! [X0] : X0 = addition(zero,X0),
    inference(paramodulation,[status(thm)],[f29,f27]) ).

fof(f110,plain,
    ! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2),
    inference(paramodulation,[status(thm)],[f27,f28]) ).

fof(f112,plain,
    ! [X0,X1] : addition(X0,addition(X0,X1)) = addition(X0,X1),
    inference(paramodulation,[status(thm)],[f30,f28]) ).

fof(f322,plain,
    ! [X0] : addition(multiplication(star(X0),X0),star(X0)) = addition(multiplication(star(X0),X0),one),
    inference(paramodulation,[status(thm)],[f48,f112]) ).

fof(f323,plain,
    ! [X0] : addition(multiplication(star(X0),X0),star(X0)) = star(X0),
    inference(forward_demodulation,[status(thm)],[f48,f322]) ).

fof(f332,plain,
    ! [X0] : addition(multiplication(X0,strong_iteration(X0)),strong_iteration(X0)) = addition(multiplication(X0,strong_iteration(X0)),one),
    inference(paramodulation,[status(thm)],[f41,f112]) ).

fof(f333,plain,
    ! [X0] : addition(multiplication(X0,strong_iteration(X0)),strong_iteration(X0)) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f41,f332]) ).

fof(f478,plain,
    ! [X0,X1] : ifeq3(addition(X0,X1),addition(X0,X1),leq(X0,addition(X0,X1)),true) = true,
    inference(paramodulation,[status(thm)],[f112,f45]) ).

fof(f479,plain,
    ! [X0,X1] : leq(X0,addition(X0,X1)) = true,
    inference(forward_demodulation,[status(thm)],[f24,f478]) ).

fof(f483,plain,
    ! [X0] : ifeq3(X0,X0,leq(X0,X0),true) = true,
    inference(paramodulation,[status(thm)],[f30,f45]) ).

fof(f484,plain,
    ! [X0] : leq(X0,X0) = true,
    inference(forward_demodulation,[status(thm)],[f24,f483]) ).

fof(f485,plain,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1)),
    inference(paramodulation,[status(thm)],[f27,f34]) ).

fof(f486,plain,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = multiplication(X0,addition(X2,X1)),
    inference(forward_demodulation,[status(thm)],[f34,f485]) ).

fof(f496,plain,
    ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
    inference(paramodulation,[status(thm)],[f32,f34]) ).

fof(f503,plain,
    ! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
    inference(paramodulation,[status(thm)],[f32,f34]) ).

fof(f517,plain,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
    inference(paramodulation,[status(thm)],[f27,f35]) ).

fof(f518,plain,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = multiplication(addition(X1,X0),X2),
    inference(forward_demodulation,[status(thm)],[f35,f517]) ).

fof(f522,plain,
    ! [X0,X1,X2,X3] : multiplication(addition(multiplication(X0,X1),X2),X3) = addition(multiplication(X0,multiplication(X1,X3)),multiplication(X2,X3)),
    inference(paramodulation,[status(thm)],[f31,f35]) ).

fof(f525,plain,
    ! [X0,X1] : multiplication(addition(one,X0),X1) = addition(X1,multiplication(X0,X1)),
    inference(paramodulation,[status(thm)],[f33,f35]) ).

fof(f531,plain,
    ! [X0,X1] : multiplication(addition(X0,one),X1) = addition(multiplication(X0,X1),X1),
    inference(paramodulation,[status(thm)],[f33,f35]) ).

fof(f563,plain,
    ! [X0] : ifeq(leq(strong_iteration(X0),strong_iteration(X0)),true,leq(multiplication(star(X0),strong_iteration(X0)),strong_iteration(X0)),true) = true,
    inference(paramodulation,[status(thm)],[f333,f39]) ).

fof(f564,plain,
    ! [X0] : ifeq(true,true,leq(multiplication(star(X0),strong_iteration(X0)),strong_iteration(X0)),true) = true,
    inference(forward_demodulation,[status(thm)],[f484,f563]) ).

fof(f565,plain,
    ! [X0] : leq(multiplication(star(X0),strong_iteration(X0)),strong_iteration(X0)) = true,
    inference(forward_demodulation,[status(thm)],[f26,f564]) ).

fof(f578,plain,
    ! [X0,X1] : ifeq(leq(multiplication(X0,X1),X1),true,leq(multiplication(star(X0),multiplication(X0,X1)),X1),true) = true,
    inference(paramodulation,[status(thm)],[f30,f39]) ).

fof(f579,plain,
    ! [X0,X1] : ifeq(leq(multiplication(X0,X1),X1),true,leq(multiplication(multiplication(star(X0),X0),X1),X1),true) = true,
    inference(forward_demodulation,[status(thm)],[f31,f578]) ).

fof(f868,plain,
    ! [X0,X1] : leq(X0,addition(X1,X0)) = true,
    inference(paramodulation,[status(thm)],[f27,f479]) ).

fof(f879,plain,
    ! [X0] : leq(one,star(X0)) = true,
    inference(paramodulation,[status(thm)],[f48,f868]) ).

fof(f887,plain,
    ! [X0] : leq(one,strong_iteration(X0)) = true,
    inference(paramodulation,[status(thm)],[f41,f868]) ).

fof(f964,plain,
    ! [X0] : ifeq2(true,true,addition(one,star(X0)),star(X0)) = star(X0),
    inference(paramodulation,[status(thm)],[f879,f44]) ).

fof(f965,plain,
    ! [X0] : addition(one,star(X0)) = star(X0),
    inference(forward_demodulation,[status(thm)],[f25,f964]) ).

fof(f973,plain,
    ! [X0] : ifeq2(true,true,addition(multiplication(star(X0),strong_iteration(X0)),strong_iteration(X0)),strong_iteration(X0)) = strong_iteration(X0),
    inference(paramodulation,[status(thm)],[f565,f44]) ).

fof(f974,plain,
    ! [X0] : addition(multiplication(star(X0),strong_iteration(X0)),strong_iteration(X0)) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f25,f973]) ).

fof(f975,plain,
    ! [X0] : multiplication(addition(star(X0),one),strong_iteration(X0)) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f531,f974]) ).

fof(f976,plain,
    ! [X0] : multiplication(addition(one,star(X0)),strong_iteration(X0)) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f518,f975]) ).

fof(f977,plain,
    ! [X0] : multiplication(star(X0),strong_iteration(X0)) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f965,f976]) ).

fof(f1040,plain,
    ! [X0] : ifeq2(true,true,addition(one,strong_iteration(X0)),strong_iteration(X0)) = strong_iteration(X0),
    inference(paramodulation,[status(thm)],[f887,f44]) ).

fof(f1041,plain,
    ! [X0] : addition(one,strong_iteration(X0)) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f25,f1040]) ).

fof(f1124,plain,
    ! [X0,X1] : multiplication(addition(X0,star(X1)),strong_iteration(X1)) = addition(multiplication(X0,strong_iteration(X1)),strong_iteration(X1)),
    inference(paramodulation,[status(thm)],[f977,f35]) ).

fof(f1125,plain,
    ! [X0,X1] : multiplication(addition(X0,star(X1)),strong_iteration(X1)) = multiplication(addition(X0,one),strong_iteration(X1)),
    inference(forward_demodulation,[status(thm)],[f531,f1124]) ).

fof(f1358,plain,
    ! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = multiplication(addition(multiplication(strong_iteration(X0),zero),one),strong_iteration(X0)),
    inference(paramodulation,[status(thm)],[f49,f1125]) ).

fof(f8099,plain,
    ! [X0] : multiplication(star(X0),addition(X0,one)) = star(X0),
    inference(paramodulation,[status(thm)],[f323,f503]) ).

fof(f8608,plain,
    ! [X0] : multiplication(star(X0),addition(one,X0)) = star(X0),
    inference(paramodulation,[status(thm)],[f486,f8099]) ).

fof(f8710,plain,
    ! [X0] : multiplication(star(strong_iteration(X0)),strong_iteration(X0)) = star(strong_iteration(X0)),
    inference(paramodulation,[status(thm)],[f1041,f8608]) ).

fof(f8766,plain,
    ! [X0,X1] : multiplication(addition(X0,star(X1)),addition(one,X1)) = addition(multiplication(X0,addition(one,X1)),star(X1)),
    inference(paramodulation,[status(thm)],[f8608,f35]) ).

fof(f14232,plain,
    ! [X0,X1,X2] : multiplication(addition(multiplication(X0,zero),X1),X2) = addition(multiplication(X0,zero),multiplication(X1,X2)),
    inference(paramodulation,[status(thm)],[f36,f522]) ).

fof(f14454,plain,
    ! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = addition(multiplication(strong_iteration(X0),zero),multiplication(one,strong_iteration(X0))),
    inference(backward_demodulation,[status(thm)],[f14232,f1358]) ).

fof(f14455,plain,
    ! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = addition(multiplication(one,strong_iteration(X0)),multiplication(strong_iteration(X0),zero)),
    inference(forward_demodulation,[status(thm)],[f27,f14454]) ).

fof(f14456,plain,
    ! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = addition(strong_iteration(X0),multiplication(strong_iteration(X0),zero)),
    inference(forward_demodulation,[status(thm)],[f33,f14455]) ).

fof(f14457,plain,
    ! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = multiplication(strong_iteration(X0),addition(one,zero)),
    inference(forward_demodulation,[status(thm)],[f496,f14456]) ).

fof(f14458,plain,
    ! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = multiplication(strong_iteration(X0),addition(zero,one)),
    inference(forward_demodulation,[status(thm)],[f486,f14457]) ).

fof(f14459,plain,
    ! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = multiplication(strong_iteration(X0),one),
    inference(forward_demodulation,[status(thm)],[f50,f14458]) ).

fof(f14460,plain,
    ! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f32,f14459]) ).

fof(f14471,plain,
    ! [X0,X1] : multiplication(star(X0),X1) = addition(X1,multiplication(star(X0),X1)),
    inference(paramodulation,[status(thm)],[f965,f525]) ).

fof(f15549,plain,
    ! [X0] : multiplication(star(X0),addition(one,X0)) = addition(addition(one,X0),star(X0)),
    inference(paramodulation,[status(thm)],[f8608,f14471]) ).

fof(f15550,plain,
    ! [X0] : star(X0) = addition(addition(one,X0),star(X0)),
    inference(forward_demodulation,[status(thm)],[f8608,f15549]) ).

fof(f16193,plain,
    ! [X0] : multiplication(addition(star(X0),one),addition(one,X0)) = addition(star(X0),addition(one,X0)),
    inference(paramodulation,[status(thm)],[f8608,f531]) ).

fof(f16194,plain,
    ! [X0] : multiplication(addition(one,star(X0)),addition(one,X0)) = addition(star(X0),addition(one,X0)),
    inference(forward_demodulation,[status(thm)],[f518,f16193]) ).

fof(f16195,plain,
    ! [X0] : addition(multiplication(one,addition(one,X0)),star(X0)) = addition(star(X0),addition(one,X0)),
    inference(forward_demodulation,[status(thm)],[f8766,f16194]) ).

fof(f16196,plain,
    ! [X0] : addition(addition(one,X0),star(X0)) = addition(star(X0),addition(one,X0)),
    inference(forward_demodulation,[status(thm)],[f33,f16195]) ).

fof(f16197,plain,
    ! [X0] : star(X0) = addition(star(X0),addition(one,X0)),
    inference(forward_demodulation,[status(thm)],[f15550,f16196]) ).

fof(f16198,plain,
    ! [X0] : star(X0) = addition(addition(one,star(X0)),X0),
    inference(forward_demodulation,[status(thm)],[f110,f16197]) ).

fof(f16199,plain,
    ! [X0] : star(X0) = addition(star(X0),X0),
    inference(forward_demodulation,[status(thm)],[f965,f16198]) ).

fof(f16959,plain,
    ! [X0] : ifeq2(leq(star(X0),X0),true,star(X0),X0) = X0,
    inference(paramodulation,[status(thm)],[f16199,f44]) ).

fof(f22681,plain,
    ! [X0] : ifeq(leq(strong_iteration(X0),strong_iteration(X0)),true,leq(multiplication(multiplication(star(strong_iteration(X0)),strong_iteration(X0)),strong_iteration(X0)),strong_iteration(X0)),true) = true,
    inference(paramodulation,[status(thm)],[f14460,f579]) ).

fof(f22682,plain,
    ! [X0] : ifeq(true,true,leq(multiplication(multiplication(star(strong_iteration(X0)),strong_iteration(X0)),strong_iteration(X0)),strong_iteration(X0)),true) = true,
    inference(forward_demodulation,[status(thm)],[f484,f22681]) ).

fof(f22683,plain,
    ! [X0] : leq(multiplication(multiplication(star(strong_iteration(X0)),strong_iteration(X0)),strong_iteration(X0)),strong_iteration(X0)) = true,
    inference(forward_demodulation,[status(thm)],[f26,f22682]) ).

fof(f22684,plain,
    ! [X0] : leq(multiplication(star(strong_iteration(X0)),strong_iteration(X0)),strong_iteration(X0)) = true,
    inference(forward_demodulation,[status(thm)],[f8710,f22683]) ).

fof(f22685,plain,
    ! [X0] : leq(star(strong_iteration(X0)),strong_iteration(X0)) = true,
    inference(forward_demodulation,[status(thm)],[f8710,f22684]) ).

fof(f23724,plain,
    ! [X0] : ifeq2(true,true,star(strong_iteration(X0)),strong_iteration(X0)) = strong_iteration(X0),
    inference(paramodulation,[status(thm)],[f22685,f16959]) ).

fof(f23725,plain,
    ! [X0] : star(strong_iteration(X0)) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f25,f23724]) ).

fof(f23733,plain,
    strong_iteration(sK1_goals_X0) != strong_iteration(sK1_goals_X0),
    inference(backward_demodulation,[status(thm)],[f23725,f46]) ).

fof(f23734,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f23733]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KLE145-10 : TPTP v8.1.2. Released v7.3.0.
% 0.09/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33  % Computer : n011.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Tue May 30 11:47:42 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.11/0.34  % Drodi V3.5.1
% 26.50/3.78  % Refutation found
% 26.50/3.78  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 26.50/3.78  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 27.90/3.94  % Elapsed time: 3.589388 seconds
% 27.90/3.94  % CPU time: 27.385087 seconds
% 27.90/3.94  % Memory used: 391.642 MB
%------------------------------------------------------------------------------