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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : LCL231-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n007.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 01:07:14 PM UTC 2026

% Result   : Unsatisfiable 242.42s 31.07s
% Output   : CNFRefutation 46.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  116 ( 116 unt;   7 def)
%            Number of atoms       :  116 ( 115 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   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    :   17 (  17 usr;  11 con; 0-4 aty)
%            Number of variables   :  167 ( 167   !;   0   ?)

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

fof(f2,axiom,
    ! [A] : axiom(implies(or(A,A),A)) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

fof(f6,axiom,
    ! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Y] : implies(X,Y) = or(not(X),Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X] : ifeq(axiom(X),true,theorem(X),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [Y,X] : ifeq(theorem(implies(Y,X)),true,ifeq(theorem(Y),true,theorem(X),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    theorem(implies(implies(implies(p,q),implies(p,r)),implies(p,implies(q,r)))) != true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,plain,
    ! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f12,plain,
    ! [X0] : axiom(implies(or(X0,X0),X0)) = true,
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f13,plain,
    ! [X0,X1] : axiom(implies(X0,or(X1,X0))) = true,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f14,plain,
    ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))) = true,
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f15,plain,
    ! [X0,X1,X2] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) = true,
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f16,plain,
    ! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) = true,
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f17,plain,
    ! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f18,plain,
    ! [X0] : ifeq(axiom(X0),true,theorem(X0),true) = true,
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f19,plain,
    ! [X0,X1] : ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true) = true,
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f20,plain,
    theorem(implies(implies(implies(p,q),implies(p,r)),implies(p,implies(q,r)))) != true,
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f21,definition,
    sF3_fnc = implies(p,q),
    introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).

fof(f22,definition,
    sF4_fnc = implies(p,r),
    introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition]) ).

fof(f23,definition,
    sF2_fnc = implies(sF3_fnc,sF4_fnc),
    introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).

fof(f24,definition,
    sF6_fnc = implies(q,r),
    introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition]) ).

fof(f25,definition,
    sF5_fnc = implies(p,sF6_fnc),
    introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition]) ).

fof(f26,definition,
    sF1_fnc = implies(sF2_fnc,sF5_fnc),
    introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).

fof(f27,definition,
    sF0_fnc = theorem(sF1_fnc),
    introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).

fof(f28,plain,
    sF0_fnc != true,
    inference(definition_folding,[],[f20,f27,f26,f25,f24,f23,f22,f21]) ).

fof(f30,plain,
    ! [X0,X1] : axiom(implies(X0,implies(X1,X0))) = true,
    inference(paramodulation,[status(thm)],[f17,f13]) ).

fof(f32,plain,
    axiom(implies(r,sF6_fnc)) = true,
    inference(paramodulation,[status(thm)],[f24,f30]) ).

fof(f43,plain,
    ifeq(true,true,theorem(implies(r,sF6_fnc)),true) = true,
    inference(paramodulation,[status(thm)],[f32,f18]) ).

fof(f45,plain,
    ! [X0,X1] : ifeq(true,true,theorem(implies(or(X0,X1),or(X1,X0))),true) = true,
    inference(paramodulation,[status(thm)],[f14,f18]) ).

fof(f46,plain,
    ! [X0] : ifeq(true,true,theorem(implies(or(X0,X0),X0)),true) = true,
    inference(paramodulation,[status(thm)],[f12,f18]) ).

fof(f47,plain,
    ! [X0,X1] : ifeq(true,true,theorem(implies(X0,implies(X1,X0))),true) = true,
    inference(paramodulation,[status(thm)],[f30,f18]) ).

fof(f48,plain,
    ! [X0,X1] : ifeq(true,true,theorem(implies(X0,or(X1,X0))),true) = true,
    inference(paramodulation,[status(thm)],[f13,f18]) ).

fof(f54,plain,
    theorem(implies(r,sF6_fnc)) = true,
    inference(forward_demodulation,[status(thm)],[f11,f43]) ).

fof(f56,plain,
    ! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f45]) ).

fof(f57,plain,
    ! [X0] : theorem(implies(or(X0,X0),X0)) = true,
    inference(forward_demodulation,[status(thm)],[f11,f46]) ).

fof(f58,plain,
    ! [X0,X1] : theorem(implies(X0,implies(X1,X0))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f47]) ).

fof(f59,plain,
    ! [X0,X1] : theorem(implies(X0,or(X1,X0))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f48]) ).

fof(f92,plain,
    ! [X0,X1,X2] : axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))) = true,
    inference(paramodulation,[status(thm)],[f17,f15]) ).

fof(f97,plain,
    ! [X0,X1,X2] : axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))) = true,
    inference(forward_demodulation,[status(thm)],[f17,f92]) ).

fof(f108,plain,
    ! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))) = true,
    inference(paramodulation,[status(thm)],[f17,f16]) ).

fof(f110,plain,
    ! [X0,X1,X2] : ifeq(true,true,theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),true) = true,
    inference(paramodulation,[status(thm)],[f16,f18]) ).

fof(f111,plain,
    ! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))) = true,
    inference(forward_demodulation,[status(thm)],[f17,f108]) ).

fof(f113,plain,
    ! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f110]) ).

fof(f114,plain,
    ! [X0,X1] : ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),true) = true,
    inference(paramodulation,[status(thm)],[f56,f19]) ).

fof(f123,plain,
    ! [X0,X1] : ifeq(true,true,ifeq(theorem(X0),true,theorem(implies(X1,X0)),true),true) = true,
    inference(paramodulation,[status(thm)],[f58,f19]) ).

fof(f130,plain,
    ! [X0,X1,X2] : ifeq(theorem(implies(implies(or(X0,X1),or(X1,X0)),X2)),true,ifeq(true,true,theorem(X2),true),true) = true,
    inference(paramodulation,[status(thm)],[f56,f19]) ).

fof(f131,plain,
    ! [X0,X1] : ifeq(theorem(implies(implies(or(X0,X0),X0),X1)),true,ifeq(true,true,theorem(X1),true),true) = true,
    inference(paramodulation,[status(thm)],[f57,f19]) ).

fof(f138,plain,
    ! [X0,X1,X2] : ifeq(theorem(implies(implies(X0,or(X1,X0)),X2)),true,ifeq(true,true,theorem(X2),true),true) = true,
    inference(paramodulation,[status(thm)],[f59,f19]) ).

fof(f151,plain,
    ! [X0] : ifeq(theorem(implies(X0,sF1_fnc)),true,ifeq(theorem(X0),true,sF0_fnc,true),true) = true,
    inference(paramodulation,[status(thm)],[f27,f19]) ).

fof(f152,plain,
    ! [X0,X1] : ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true) = true,
    inference(forward_demodulation,[status(thm)],[f11,f114]) ).

fof(f162,plain,
    ! [X0,X1] : ifeq(theorem(X0),true,theorem(implies(X1,X0)),true) = true,
    inference(forward_demodulation,[status(thm)],[f11,f123]) ).

fof(f164,plain,
    ! [X0,X1,X2] : ifeq(theorem(implies(implies(or(X0,X1),or(X1,X0)),X2)),true,theorem(X2),true) = true,
    inference(forward_demodulation,[status(thm)],[f11,f130]) ).

fof(f165,plain,
    ! [X0,X1] : ifeq(theorem(implies(implies(or(X0,X0),X0),X1)),true,theorem(X1),true) = true,
    inference(forward_demodulation,[status(thm)],[f11,f131]) ).

fof(f172,plain,
    ! [X0,X1,X2] : ifeq(theorem(implies(implies(X0,or(X1,X0)),X2)),true,theorem(X2),true) = true,
    inference(forward_demodulation,[status(thm)],[f11,f138]) ).

fof(f326,plain,
    ! [X0,X1,X2] : ifeq(true,true,theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),true) = true,
    inference(paramodulation,[status(thm)],[f97,f18]) ).

fof(f329,plain,
    ! [X0,X1,X2] : theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f326]) ).

fof(f477,plain,
    ! [X0,X1,X2] : ifeq(true,true,theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),true) = true,
    inference(paramodulation,[status(thm)],[f111,f18]) ).

fof(f478,plain,
    ! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f477]) ).

fof(f965,plain,
    ! [X0,X1,X2] : ifeq(true,true,ifeq(theorem(implies(X0,X1)),true,theorem(implies(or(X2,X0),or(X2,X1))),true),true) = true,
    inference(paramodulation,[status(thm)],[f113,f19]) ).

fof(f975,plain,
    ! [X0,X1,X2] : ifeq(theorem(implies(X0,X1)),true,theorem(implies(or(X2,X0),or(X2,X1))),true) = true,
    inference(forward_demodulation,[status(thm)],[f11,f965]) ).

fof(f6916,plain,
    ! [X0,X1,X2] : ifeq(true,true,ifeq(theorem(implies(X0,or(X1,X2))),true,theorem(or(X1,implies(X0,X2))),true),true) = true,
    inference(paramodulation,[status(thm)],[f329,f19]) ).

fof(f6933,plain,
    ! [X0,X1,X2] : ifeq(theorem(implies(X0,or(X1,X2))),true,theorem(or(X1,implies(X0,X2))),true) = true,
    inference(forward_demodulation,[status(thm)],[f11,f6916]) ).

fof(f17495,plain,
    ! [X0,X1,X2] : ifeq(true,true,theorem(implies(implies(X0,or(X1,X2)),implies(X0,or(X2,X1)))),true) = true,
    inference(paramodulation,[status(thm)],[f478,f164]) ).

fof(f17496,plain,
    ! [X0,X1] : ifeq(true,true,theorem(implies(implies(X0,or(X1,X1)),implies(X0,X1))),true) = true,
    inference(paramodulation,[status(thm)],[f478,f165]) ).

fof(f17527,plain,
    ! [X0,X1,X2] : theorem(implies(implies(X0,or(X1,X2)),implies(X0,or(X2,X1)))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f17495]) ).

fof(f17528,plain,
    ! [X0,X1] : theorem(implies(implies(X0,or(X1,X1)),implies(X0,X1))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f17496]) ).

fof(f24540,plain,
    ! [X0] : ifeq(true,true,theorem(implies(or(X0,r),or(X0,sF6_fnc))),true) = true,
    inference(paramodulation,[status(thm)],[f54,f975]) ).

fof(f24721,plain,
    ! [X0] : theorem(implies(or(X0,r),or(X0,sF6_fnc))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f24540]) ).

fof(f24897,plain,
    ! [X0] : theorem(implies(implies(X0,r),or(not(X0),sF6_fnc))) = true,
    inference(paramodulation,[status(thm)],[f17,f24721]) ).

fof(f24934,plain,
    ! [X0] : theorem(implies(implies(X0,r),implies(X0,sF6_fnc))) = true,
    inference(forward_demodulation,[status(thm)],[f17,f24897]) ).

fof(f25337,plain,
    theorem(implies(sF4_fnc,implies(p,sF6_fnc))) = true,
    inference(paramodulation,[status(thm)],[f22,f24934]) ).

fof(f25361,plain,
    theorem(implies(sF4_fnc,sF5_fnc)) = true,
    inference(forward_demodulation,[status(thm)],[f25,f25337]) ).

fof(f25373,plain,
    ! [X0] : ifeq(true,true,theorem(implies(or(X0,sF4_fnc),or(X0,sF5_fnc))),true) = true,
    inference(paramodulation,[status(thm)],[f25361,f975]) ).

fof(f25391,plain,
    ! [X0] : theorem(implies(or(X0,sF4_fnc),or(X0,sF5_fnc))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f25373]) ).

fof(f59308,plain,
    ! [X0,X1] : ifeq(true,true,ifeq(theorem(implies(X0,or(X1,X1))),true,theorem(implies(X0,X1)),true),true) = true,
    inference(paramodulation,[status(thm)],[f17528,f19]) ).

fof(f59340,plain,
    ! [X0,X1] : ifeq(theorem(implies(X0,or(X1,X1))),true,theorem(implies(X0,X1)),true) = true,
    inference(forward_demodulation,[status(thm)],[f11,f59308]) ).

fof(f138154,plain,
    ! [X0] : ifeq(true,true,theorem(or(X0,implies(or(X0,sF4_fnc),sF5_fnc))),true) = true,
    inference(paramodulation,[status(thm)],[f25391,f6933]) ).

fof(f138610,plain,
    ! [X0] : theorem(or(X0,implies(or(X0,sF4_fnc),sF5_fnc))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f138154]) ).

fof(f140342,plain,
    ! [X0] : theorem(implies(X0,implies(or(not(X0),sF4_fnc),sF5_fnc))) = true,
    inference(paramodulation,[status(thm)],[f17,f138610]) ).

fof(f140533,plain,
    ! [X0] : theorem(implies(X0,implies(implies(X0,sF4_fnc),sF5_fnc))) = true,
    inference(forward_demodulation,[status(thm)],[f17,f140342]) ).

fof(f148159,plain,
    theorem(implies(sF3_fnc,implies(sF2_fnc,sF5_fnc))) = true,
    inference(paramodulation,[status(thm)],[f23,f140533]) ).

fof(f148219,plain,
    theorem(implies(sF3_fnc,sF1_fnc)) = true,
    inference(forward_demodulation,[status(thm)],[f26,f148159]) ).

fof(f148251,plain,
    ! [X0] : ifeq(true,true,theorem(implies(or(X0,sF3_fnc),or(X0,sF1_fnc))),true) = true,
    inference(paramodulation,[status(thm)],[f148219,f975]) ).

fof(f148283,plain,
    ! [X0] : theorem(implies(or(X0,sF3_fnc),or(X0,sF1_fnc))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f148251]) ).

fof(f215088,plain,
    ! [X0,X1] : ifeq(true,true,theorem(implies(X0,or(X0,X1))),true) = true,
    inference(paramodulation,[status(thm)],[f17527,f172]) ).

fof(f215160,plain,
    ! [X0,X1] : theorem(implies(X0,or(X0,X1))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f215088]) ).

fof(f221478,plain,
    ! [X0,X1] : ifeq(true,true,theorem(or(X0,implies(X0,X1))),true) = true,
    inference(paramodulation,[status(thm)],[f215160,f6933]) ).

fof(f221532,plain,
    ! [X0,X1] : theorem(or(X0,implies(X0,X1))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f221478]) ).

fof(f221880,plain,
    theorem(or(q,sF6_fnc)) = true,
    inference(paramodulation,[status(thm)],[f24,f221532]) ).

fof(f222319,plain,
    ! [X0] : ifeq(true,true,theorem(implies(X0,or(q,sF6_fnc))),true) = true,
    inference(paramodulation,[status(thm)],[f221880,f162]) ).

fof(f222334,plain,
    ! [X0] : theorem(implies(X0,or(q,sF6_fnc))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f222319]) ).

fof(f226032,plain,
    ! [X0] : ifeq(true,true,theorem(or(q,implies(X0,sF6_fnc))),true) = true,
    inference(paramodulation,[status(thm)],[f222334,f6933]) ).

fof(f226090,plain,
    ! [X0] : theorem(or(q,implies(X0,sF6_fnc))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f226032]) ).

fof(f234745,plain,
    theorem(or(q,sF5_fnc)) = true,
    inference(paramodulation,[status(thm)],[f25,f226090]) ).

fof(f234817,plain,
    ! [X0] : ifeq(true,true,theorem(implies(X0,or(q,sF5_fnc))),true) = true,
    inference(paramodulation,[status(thm)],[f234745,f162]) ).

fof(f234832,plain,
    ! [X0] : theorem(implies(X0,or(q,sF5_fnc))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f234817]) ).

fof(f245057,plain,
    ! [X0] : ifeq(true,true,theorem(or(q,implies(X0,sF5_fnc))),true) = true,
    inference(paramodulation,[status(thm)],[f234832,f6933]) ).

fof(f245115,plain,
    ! [X0] : theorem(or(q,implies(X0,sF5_fnc))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f245057]) ).

fof(f252506,plain,
    theorem(or(q,sF1_fnc)) = true,
    inference(paramodulation,[status(thm)],[f26,f245115]) ).

fof(f252569,plain,
    ifeq(true,true,theorem(or(sF1_fnc,q)),true) = true,
    inference(paramodulation,[status(thm)],[f252506,f152]) ).

fof(f252600,plain,
    theorem(or(sF1_fnc,q)) = true,
    inference(forward_demodulation,[status(thm)],[f11,f252569]) ).

fof(f252916,plain,
    ! [X0] : ifeq(true,true,theorem(implies(X0,or(sF1_fnc,q))),true) = true,
    inference(paramodulation,[status(thm)],[f252600,f162]) ).

fof(f252931,plain,
    ! [X0] : theorem(implies(X0,or(sF1_fnc,q))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f252916]) ).

fof(f260468,plain,
    ! [X0] : ifeq(true,true,theorem(or(sF1_fnc,implies(X0,q))),true) = true,
    inference(paramodulation,[status(thm)],[f252931,f6933]) ).

fof(f260526,plain,
    ! [X0] : theorem(or(sF1_fnc,implies(X0,q))) = true,
    inference(forward_demodulation,[status(thm)],[f11,f260468]) ).

fof(f264760,plain,
    theorem(or(sF1_fnc,sF3_fnc)) = true,
    inference(paramodulation,[status(thm)],[f21,f260526]) ).

fof(f1289100,plain,
    ifeq(true,true,theorem(implies(or(sF1_fnc,sF3_fnc),sF1_fnc)),true) = true,
    inference(paramodulation,[status(thm)],[f148283,f59340]) ).

fof(f1290641,plain,
    theorem(implies(or(sF1_fnc,sF3_fnc),sF1_fnc)) = true,
    inference(forward_demodulation,[status(thm)],[f11,f1289100]) ).

fof(f1293172,plain,
    ifeq(true,true,ifeq(theorem(or(sF1_fnc,sF3_fnc)),true,sF0_fnc,true),true) = true,
    inference(paramodulation,[status(thm)],[f1290641,f151]) ).

fof(f1293246,plain,
    ifeq(theorem(or(sF1_fnc,sF3_fnc)),true,sF0_fnc,true) = true,
    inference(forward_demodulation,[status(thm)],[f11,f1293172]) ).

fof(f1293247,plain,
    ifeq(true,true,sF0_fnc,true) = true,
    inference(forward_demodulation,[status(thm)],[f264760,f1293246]) ).

fof(f1293248,plain,
    sF0_fnc = true,
    inference(forward_demodulation,[status(thm)],[f11,f1293247]) ).

fof(f1293249,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1293248,f28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL231-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n007.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 21 00:11:20 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.37  % Drodi V4.1.1
% 242.42/31.07  % Refutation found
% 242.42/31.07  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 242.42/31.07  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.23/31.98  % Elapsed time: 31.614466 seconds
% 8.23/31.98  % CPU time: 247.036543 seconds
% 8.23/31.98  % Total memory used: 1.392 GB
% 8.23/31.98  % Net memory used: 1.323 GB
%------------------------------------------------------------------------------