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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : KLE145-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:58:03 PM UTC 2026

% Result   : Unsatisfiable 37.35s 5.13s
% Output   : CNFRefutation 30.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :   22
% 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    :    6 (   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   :  182 ( 182   !;   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(f14,axiom,
    ! [A] : addition(one,multiplication(A,star(A))) = star(A),
    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(f17,axiom,
    ! [C,A,B] : ifeq(leq(addition(multiplication(C,A),B),C),true,leq(multiplication(B,star(A)),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(thm)],[f1]) ).

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

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

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

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

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

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

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

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

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

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

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

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

fof(f37,plain,
    ! [X0] : addition(one,multiplication(X0,star(X0))) = star(X0),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f38,plain,
    ! [X0] : addition(one,multiplication(star(X0),X0)) = star(X0),
    inference(cnf_transformation,[status(thm)],[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(thm)],[f16]) ).

fof(f40,plain,
    ! [X0,X1,X2] : ifeq(leq(addition(multiplication(X0,X1),X2),X0),true,leq(multiplication(X2,star(X1)),X0),true) = true,
    inference(cnf_transformation,[status(thm)],[f17]) ).

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

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

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

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

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

fof(f50,plain,
    ! [X0] : strong_iteration(X0) = addition(one,multiplication(X0,strong_iteration(X0))),
    inference(forward_demodulation,[status(thm)],[f27,f41]) ).

fof(f55,plain,
    ! [X0] : X0 = addition(zero,X0),
    inference(paramodulation,[status(thm)],[f29,f27]) ).

fof(f97,plain,
    ! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2),
    inference(paramodulation,[status(thm)],[f27,f28]) ).

fof(f99,plain,
    ! [X0,X1] : addition(X0,addition(X0,X1)) = addition(X0,X1),
    inference(paramodulation,[status(thm)],[f30,f28]) ).

fof(f106,plain,
    ! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
    inference(forward_demodulation,[status(thm)],[f28,f97]) ).

fof(f126,plain,
    ! [X0] : addition(one,star(X0)) = addition(one,multiplication(star(X0),X0)),
    inference(paramodulation,[status(thm)],[f38,f99]) ).

fof(f127,plain,
    ! [X0] : addition(one,strong_iteration(X0)) = addition(one,multiplication(X0,strong_iteration(X0))),
    inference(paramodulation,[status(thm)],[f50,f99]) ).

fof(f132,plain,
    ! [X0,X1] : addition(X0,addition(X1,X0)) = addition(X0,X1),
    inference(paramodulation,[status(thm)],[f27,f99]) ).

fof(f143,plain,
    ! [X0] : addition(one,star(X0)) = star(X0),
    inference(forward_demodulation,[status(thm)],[f38,f126]) ).

fof(f145,plain,
    ! [X0] : addition(one,strong_iteration(X0)) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f50,f127]) ).

fof(f158,plain,
    ! [X0] : addition(multiplication(X0,strong_iteration(X0)),strong_iteration(X0)) = addition(multiplication(X0,strong_iteration(X0)),one),
    inference(paramodulation,[status(thm)],[f50,f132]) ).

fof(f159,plain,
    ! [X0] : addition(multiplication(X0,star(X0)),star(X0)) = addition(multiplication(X0,star(X0)),one),
    inference(paramodulation,[status(thm)],[f37,f132]) ).

fof(f178,plain,
    ! [X0] : addition(strong_iteration(X0),multiplication(X0,strong_iteration(X0))) = addition(multiplication(X0,strong_iteration(X0)),one),
    inference(forward_demodulation,[status(thm)],[f27,f158]) ).

fof(f179,plain,
    ! [X0] : addition(strong_iteration(X0),multiplication(X0,strong_iteration(X0))) = addition(one,multiplication(X0,strong_iteration(X0))),
    inference(forward_demodulation,[status(thm)],[f27,f178]) ).

fof(f180,plain,
    ! [X0] : addition(strong_iteration(X0),multiplication(X0,strong_iteration(X0))) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f50,f179]) ).

fof(f181,plain,
    ! [X0] : addition(star(X0),multiplication(X0,star(X0))) = addition(multiplication(X0,star(X0)),one),
    inference(forward_demodulation,[status(thm)],[f27,f159]) ).

fof(f182,plain,
    ! [X0] : addition(star(X0),multiplication(X0,star(X0))) = addition(one,multiplication(X0,star(X0))),
    inference(forward_demodulation,[status(thm)],[f27,f181]) ).

fof(f183,plain,
    ! [X0] : addition(star(X0),multiplication(X0,star(X0))) = star(X0),
    inference(forward_demodulation,[status(thm)],[f37,f182]) ).

fof(f320,plain,
    ! [X0,X1] : ifeq2(leq(X0,X1),true,addition(X1,X0),X1) = X1,
    inference(paramodulation,[status(thm)],[f27,f44]) ).

fof(f583,plain,
    ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
    inference(paramodulation,[status(thm)],[f32,f34]) ).

fof(f587,plain,
    ! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
    inference(paramodulation,[status(thm)],[f32,f34]) ).

fof(f614,plain,
    ! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(X0,multiplication(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f27,f587]) ).

fof(f623,plain,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
    inference(paramodulation,[status(thm)],[f27,f35]) ).

fof(f628,plain,
    ! [X0,X1] : multiplication(addition(one,X0),X1) = addition(X1,multiplication(X0,X1)),
    inference(paramodulation,[status(thm)],[f33,f35]) ).

fof(f630,plain,
    ! [X0,X1,X2,X3] : multiplication(addition(X0,multiplication(X1,X2)),X3) = addition(multiplication(X0,X3),multiplication(X1,multiplication(X2,X3))),
    inference(paramodulation,[status(thm)],[f31,f35]) ).

fof(f632,plain,
    ! [X0,X1] : multiplication(addition(X0,one),X1) = addition(multiplication(X0,X1),X1),
    inference(paramodulation,[status(thm)],[f33,f35]) ).

fof(f647,plain,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = multiplication(addition(X1,X0),X2),
    inference(forward_demodulation,[status(thm)],[f35,f623]) ).

fof(f650,plain,
    ! [X0] : multiplication(addition(one,X0),star(X0)) = star(X0),
    inference(backward_demodulation,[status(thm)],[f628,f183]) ).

fof(f651,plain,
    ! [X0] : multiplication(addition(one,X0),strong_iteration(X0)) = strong_iteration(X0),
    inference(backward_demodulation,[status(thm)],[f628,f180]) ).

fof(f654,plain,
    ! [X0,X1] : multiplication(addition(X0,one),X1) = addition(X1,multiplication(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f27,f632]) ).

fof(f670,plain,
    ! [X0,X1,X2] : ifeq(leq(multiplication(addition(X0,X1),X2),X2),true,leq(multiplication(star(X0),multiplication(X1,X2)),X2),true) = true,
    inference(paramodulation,[status(thm)],[f35,f39]) ).

fof(f730,plain,
    ! [X0] : multiplication(addition(X0,one),strong_iteration(X0)) = strong_iteration(X0),
    inference(paramodulation,[status(thm)],[f27,f651]) ).

fof(f836,plain,
    ! [X0,X1] : ifeq(leq(addition(multiplication(X0,X1),one),X0),true,leq(star(X1),X0),true) = true,
    inference(paramodulation,[status(thm)],[f33,f40]) ).

fof(f849,plain,
    ! [X0,X1] : ifeq(leq(addition(one,multiplication(X0,X1)),X0),true,leq(star(X1),X0),true) = true,
    inference(forward_demodulation,[status(thm)],[f27,f836]) ).

fof(f1797,plain,
    ! [X0] : ifeq3(X0,X0,leq(X0,X0),true) = true,
    inference(paramodulation,[status(thm)],[f30,f45]) ).

fof(f1833,plain,
    ! [X0] : leq(X0,X0) = true,
    inference(forward_demodulation,[status(thm)],[f24,f1797]) ).

fof(f2259,plain,
    ! [X0,X1] : addition(X0,star(X1)) = addition(one,addition(X0,star(X1))),
    inference(paramodulation,[status(thm)],[f143,f106]) ).

fof(f5883,plain,
    ! [X0,X1] : multiplication(X0,star(X1)) = addition(X0,multiplication(X0,star(X1))),
    inference(paramodulation,[status(thm)],[f143,f583]) ).

fof(f6268,plain,
    ! [X0] : multiplication(addition(one,X0),star(X0)) = addition(addition(one,X0),star(X0)),
    inference(paramodulation,[status(thm)],[f650,f5883]) ).

fof(f6318,plain,
    ! [X0] : star(X0) = addition(addition(one,X0),star(X0)),
    inference(forward_demodulation,[status(thm)],[f650,f6268]) ).

fof(f6319,plain,
    ! [X0] : star(X0) = addition(one,addition(X0,star(X0))),
    inference(forward_demodulation,[status(thm)],[f28,f6318]) ).

fof(f6322,plain,
    ! [X0] : star(X0) = addition(X0,star(X0)),
    inference(forward_demodulation,[status(thm)],[f2259,f6319]) ).

fof(f9414,plain,
    ! [X0,X1,X2] : multiplication(addition(X0,multiplication(X1,zero)),X2) = addition(multiplication(X0,X2),multiplication(X1,zero)),
    inference(paramodulation,[status(thm)],[f36,f630]) ).

fof(f11370,plain,
    ! [X0] : ifeq(leq(strong_iteration(X0),strong_iteration(X0)),true,leq(multiplication(star(X0),multiplication(one,strong_iteration(X0))),strong_iteration(X0)),true) = true,
    inference(paramodulation,[status(thm)],[f730,f670]) ).

fof(f11488,plain,
    ! [X0] : ifeq(true,true,leq(multiplication(star(X0),multiplication(one,strong_iteration(X0))),strong_iteration(X0)),true) = true,
    inference(forward_demodulation,[status(thm)],[f1833,f11370]) ).

fof(f11489,plain,
    ! [X0] : leq(multiplication(star(X0),multiplication(one,strong_iteration(X0))),strong_iteration(X0)) = true,
    inference(forward_demodulation,[status(thm)],[f26,f11488]) ).

fof(f11490,plain,
    ! [X0] : leq(multiplication(star(X0),strong_iteration(X0)),strong_iteration(X0)) = true,
    inference(forward_demodulation,[status(thm)],[f33,f11489]) ).

fof(f11720,plain,
    ! [X0] : ifeq2(true,true,addition(strong_iteration(X0),multiplication(star(X0),strong_iteration(X0))),strong_iteration(X0)) = strong_iteration(X0),
    inference(paramodulation,[status(thm)],[f11490,f320]) ).

fof(f11738,plain,
    ! [X0] : addition(strong_iteration(X0),multiplication(star(X0),strong_iteration(X0))) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f25,f11720]) ).

fof(f11739,plain,
    ! [X0] : multiplication(addition(star(X0),one),strong_iteration(X0)) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f654,f11738]) ).

fof(f11740,plain,
    ! [X0] : multiplication(addition(one,star(X0)),strong_iteration(X0)) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f647,f11739]) ).

fof(f11744,plain,
    ! [X0] : multiplication(star(X0),strong_iteration(X0)) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f143,f11740]) ).

fof(f11790,plain,
    ! [X0,X1] : multiplication(addition(star(X0),X1),strong_iteration(X0)) = addition(strong_iteration(X0),multiplication(X1,strong_iteration(X0))),
    inference(paramodulation,[status(thm)],[f11744,f35]) ).

fof(f11853,plain,
    ! [X0,X1] : multiplication(addition(star(X0),X1),strong_iteration(X0)) = multiplication(addition(X1,one),strong_iteration(X0)),
    inference(forward_demodulation,[status(thm)],[f654,f11790]) ).

fof(f28934,plain,
    ! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = multiplication(addition(multiplication(strong_iteration(X0),zero),one),strong_iteration(X0)),
    inference(paramodulation,[status(thm)],[f43,f11853]) ).

fof(f29052,plain,
    ! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = multiplication(addition(one,multiplication(strong_iteration(X0),zero)),strong_iteration(X0)),
    inference(forward_demodulation,[status(thm)],[f647,f28934]) ).

fof(f29053,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)],[f9414,f29052]) ).

fof(f29054,plain,
    ! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = addition(strong_iteration(X0),multiplication(strong_iteration(X0),zero)),
    inference(forward_demodulation,[status(thm)],[f33,f29053]) ).

fof(f29055,plain,
    ! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = multiplication(strong_iteration(X0),addition(zero,one)),
    inference(forward_demodulation,[status(thm)],[f614,f29054]) ).

fof(f29056,plain,
    ! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = multiplication(strong_iteration(X0),one),
    inference(forward_demodulation,[status(thm)],[f55,f29055]) ).

fof(f29057,plain,
    ! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f32,f29056]) ).

fof(f29312,plain,
    ! [X0] : ifeq(leq(addition(one,strong_iteration(X0)),strong_iteration(X0)),true,leq(star(strong_iteration(X0)),strong_iteration(X0)),true) = true,
    inference(paramodulation,[status(thm)],[f29057,f849]) ).

fof(f29375,plain,
    ! [X0] : ifeq(leq(strong_iteration(X0),strong_iteration(X0)),true,leq(star(strong_iteration(X0)),strong_iteration(X0)),true) = true,
    inference(forward_demodulation,[status(thm)],[f145,f29312]) ).

fof(f29376,plain,
    ! [X0] : ifeq(true,true,leq(star(strong_iteration(X0)),strong_iteration(X0)),true) = true,
    inference(forward_demodulation,[status(thm)],[f1833,f29375]) ).

fof(f29378,plain,
    ! [X0] : leq(star(strong_iteration(X0)),strong_iteration(X0)) = true,
    inference(forward_demodulation,[status(thm)],[f26,f29376]) ).

fof(f29461,plain,
    ! [X0] : ifeq2(true,true,addition(strong_iteration(X0),star(strong_iteration(X0))),strong_iteration(X0)) = strong_iteration(X0),
    inference(paramodulation,[status(thm)],[f29378,f320]) ).

fof(f29479,plain,
    ! [X0] : addition(strong_iteration(X0),star(strong_iteration(X0))) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f25,f29461]) ).

fof(f29480,plain,
    strong_iteration(sK1_goals_X0) != strong_iteration(sK1_goals_X0),
    inference(backward_demodulation,[status(thm)],[f29853,f46]) ).

fof(f29853,plain,
    ! [X0] : star(strong_iteration(X0)) = strong_iteration(X0),
    inference(forward_demodulation,[status(thm)],[f6322,f29479]) ).

fof(f29860,plain,
    $false,
    inference(trivial_equality_resolution,[status(thm)],[f29480]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KLE145-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  % Computer : n008.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8046.5625MB
% 0.12/0.36  % OS       : Linux 6.8.0-71-generic
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Sun Sep 20 22:47:09 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  % Drodi V4.1.1
% 37.35/5.13  % Refutation found
% 37.35/5.13  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 37.35/5.13  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.46/6.15  % Elapsed time: 5.770809 seconds
% 3.46/6.15  % CPU time: 40.075065 seconds
% 3.46/6.15  % Total memory used: 624.223 MB
% 3.46/6.15  % Net memory used: 586.284 MB
%------------------------------------------------------------------------------