%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL239-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 01:09:42 PM UTC 2026
% Result : Unsatisfiable 3.98s 0.99s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL239-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 00:17:05 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 3.98/0.99 % Refutation found
% 3.98/0.99 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.98/0.99 % SZS output start CNFRefutation for theBenchmark
% 3.98/0.99 fof(f1,axiom,(
% 3.98/0.99 (![A,B,C]: (ifeq(A,A,B,C) = B ))),
% 3.98/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.99 fof(f2,axiom,(
% 3.98/0.99 (![A]: (axiom(implies(or(A,A),A)) = true ))),
% 3.98/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.99 fof(f3,axiom,(
% 3.98/0.99 (![A,B]: (axiom(implies(A,or(B,A))) = true ))),
% 3.98/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.99 fof(f4,axiom,(
% 3.98/0.99 (![A,B]: (axiom(implies(or(A,B),or(B,A))) = true ))),
% 3.98/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.99 fof(f5,axiom,(
% 3.98/0.99 (![A,B,C]: (axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) = true ))),
% 3.98/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.99 fof(f7,axiom,(
% 3.98/0.99 (![X,Y]: (implies(X,Y) = or(not(X),Y) ))),
% 3.98/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/0.99 fof(f8,axiom,(
% 3.98/0.99 (![X]: (ifeq(axiom(X),true,theorem(X),true) = true ))),
% 3.98/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/1.00 fof(f9,axiom,(
% 3.98/1.00 (![Y,X]: (ifeq(theorem(implies(Y,X)),true,ifeq(theorem(Y),true,theorem(X),true),true) = true ))),
% 3.98/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/1.00 fof(f10,axiom,(
% 3.98/1.00 (![P,Q]: (and(P,Q) = not(or(not(P),not(Q))) ))),
% 3.98/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/1.00 fof(f11,negated_conjecture,(
% 3.98/1.00 theorem(not(and(p,not(p)))) != true ),
% 3.98/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.98/1.00 fof(f12,plain,(
% 3.98/1.00 ![X0,X1,X2]: (ifeq(X0,X0,X1,X2)=X1)),
% 3.98/1.00 inference(cnf_transformation,[status(thm)],[f1])).
% 3.98/1.00 fof(f13,plain,(
% 3.98/1.00 ![X0]: (axiom(implies(or(X0,X0),X0))=true)),
% 3.98/1.00 inference(cnf_transformation,[status(thm)],[f2])).
% 3.98/1.00 fof(f14,plain,(
% 3.98/1.00 ![X0,X1]: (axiom(implies(X0,or(X1,X0)))=true)),
% 3.98/1.00 inference(cnf_transformation,[status(thm)],[f3])).
% 3.98/1.00 fof(f15,plain,(
% 3.98/1.00 ![X0,X1]: (axiom(implies(or(X0,X1),or(X1,X0)))=true)),
% 3.98/1.00 inference(cnf_transformation,[status(thm)],[f4])).
% 3.98/1.00 fof(f16,plain,(
% 3.98/1.00 ![X0,X1,X2]: (axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))=true)),
% 3.98/1.00 inference(cnf_transformation,[status(thm)],[f5])).
% 3.98/1.00 fof(f18,plain,(
% 3.98/1.00 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 3.98/1.00 inference(cnf_transformation,[status(thm)],[f7])).
% 3.98/1.00 fof(f19,plain,(
% 3.98/1.00 ![X0]: (ifeq(axiom(X0),true,theorem(X0),true)=true)),
% 3.98/1.00 inference(cnf_transformation,[status(thm)],[f8])).
% 3.98/1.00 fof(f20,plain,(
% 3.98/1.00 ![X0,X1]: (ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true)=true)),
% 3.98/1.00 inference(cnf_transformation,[status(thm)],[f9])).
% 3.98/1.00 fof(f21,plain,(
% 3.98/1.00 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 3.98/1.00 inference(cnf_transformation,[status(thm)],[f10])).
% 3.98/1.00 fof(f22,plain,(
% 3.98/1.00 ~theorem(not(and(p,not(p))))=true),
% 3.98/1.00 inference(cnf_transformation,[status(thm)],[f11])).
% 3.98/1.00 fof(f23,definition,(
% 3.98/1.00 sF3_fnc=not(p)),
% 3.98/1.00 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 3.98/1.00 fof(f24,definition,(
% 3.98/1.00 sF2_fnc=and(p,sF3_fnc)),
% 3.98/1.00 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 3.98/1.00 fof(f25,definition,(
% 3.98/1.00 sF1_fnc=not(sF2_fnc)),
% 3.98/1.00 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 3.98/1.00 fof(f26,definition,(
% 3.98/1.00 sF0_fnc=theorem(sF1_fnc)),
% 3.98/1.00 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 3.98/1.00 fof(f27,plain,(
% 3.98/1.00 ~sF0_fnc=true),
% 3.98/1.00 inference(definition_folding,[],[f22,f26,f25,f24,f23])).
% 3.98/1.00 fof(f28,plain,(
% 3.98/1.00 ![X0]: (implies(sF2_fnc,X0)=or(sF1_fnc,X0))),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f25,f18])).
% 3.98/1.00 fof(f29,plain,(
% 3.98/1.00 ![X0]: (implies(p,X0)=or(sF3_fnc,X0))),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f23,f18])).
% 3.98/1.00 fof(f30,plain,(
% 3.98/1.00 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1))))),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f18,f21])).
% 3.98/1.00 fof(f34,plain,(
% 3.98/1.00 ![X0,X1,X2]: (implies(implies(X0,not(X1)),X2)=or(and(X0,X1),X2))),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f30,f18])).
% 3.98/1.00 fof(f47,plain,(
% 3.98/1.00 ![X0,X1]: (axiom(implies(implies(X0,X1),or(X1,not(X0))))=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f18,f15])).
% 3.98/1.00 fof(f152,plain,(
% 3.98/1.00 ![X0,X1]: (ifeq(true,true,theorem(implies(implies(X0,X1),or(X1,not(X0)))),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f47,f19])).
% 3.98/1.00 fof(f154,plain,(
% 3.98/1.00 ![X0,X1,X2]: (ifeq(true,true,theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f16,f19])).
% 3.98/1.00 fof(f155,plain,(
% 3.98/1.00 ![X0,X1]: (ifeq(true,true,theorem(implies(or(X0,X1),or(X1,X0))),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f15,f19])).
% 3.98/1.00 fof(f156,plain,(
% 3.98/1.00 ![X0]: (ifeq(true,true,theorem(implies(or(X0,X0),X0)),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f13,f19])).
% 3.98/1.00 fof(f158,plain,(
% 3.98/1.00 ![X0,X1]: (ifeq(true,true,theorem(implies(X0,or(X1,X0))),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f14,f19])).
% 3.98/1.00 fof(f163,plain,(
% 3.98/1.00 ![X0,X1]: (theorem(implies(implies(X0,X1),or(X1,not(X0))))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f152])).
% 3.98/1.00 fof(f165,plain,(
% 3.98/1.00 ![X0,X1,X2]: (theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f154])).
% 3.98/1.00 fof(f166,plain,(
% 3.98/1.00 ![X0,X1]: (theorem(implies(or(X0,X1),or(X1,X0)))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f155])).
% 3.98/1.00 fof(f167,plain,(
% 3.98/1.00 ![X0]: (theorem(implies(or(X0,X0),X0))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f156])).
% 3.98/1.00 fof(f169,plain,(
% 3.98/1.00 ![X0,X1]: (theorem(implies(X0,or(X1,X0)))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f158])).
% 3.98/1.00 fof(f194,plain,(
% 3.98/1.00 ![X0]: (ifeq(true,true,ifeq(theorem(or(X0,X0)),true,theorem(X0),true),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f167,f20])).
% 3.98/1.00 fof(f195,plain,(
% 3.98/1.00 ![X0,X1]: (ifeq(true,true,ifeq(theorem(X0),true,theorem(or(X1,X0)),true),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f169,f20])).
% 3.98/1.00 fof(f200,plain,(
% 3.98/1.00 ![X0,X1,X2]: (ifeq(theorem(implies(implies(X0,or(X1,X0)),X2)),true,ifeq(true,true,theorem(X2),true),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f169,f20])).
% 3.98/1.00 fof(f207,plain,(
% 3.98/1.00 ![X0]: (ifeq(theorem(implies(X0,sF1_fnc)),true,ifeq(theorem(X0),true,sF0_fnc,true),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f26,f20])).
% 3.98/1.00 fof(f208,plain,(
% 3.98/1.00 ![X0]: (ifeq(theorem(or(X0,X0)),true,theorem(X0),true)=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f194])).
% 3.98/1.00 fof(f209,plain,(
% 3.98/1.00 ![X0,X1]: (ifeq(theorem(X0),true,theorem(or(X1,X0)),true)=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f195])).
% 3.98/1.00 fof(f213,plain,(
% 3.98/1.00 ![X0,X1,X2]: (ifeq(theorem(implies(implies(X0,or(X1,X0)),X2)),true,theorem(X2),true)=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f200])).
% 3.98/1.00 fof(f288,plain,(
% 3.98/1.00 ![X0]: (theorem(implies(implies(sF2_fnc,X0),or(X0,sF1_fnc)))=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f28,f166])).
% 3.98/1.00 fof(f293,plain,(
% 3.98/1.00 ![X0,X1]: (ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f166,f20])).
% 3.98/1.00 fof(f297,plain,(
% 3.98/1.00 ![X0,X1]: (ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true)=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f293])).
% 3.98/1.00 fof(f438,plain,(
% 3.98/1.00 ![X0,X1]: (ifeq(theorem(or(and(X0,X1),sF1_fnc)),true,ifeq(theorem(implies(X0,not(X1))),true,sF0_fnc,true),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f34,f207])).
% 3.98/1.00 fof(f542,plain,(
% 3.98/1.00 ![X0,X1,X2]: (ifeq(true,true,ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f165,f20])).
% 3.98/1.00 fof(f568,plain,(
% 3.98/1.00 ![X0,X1,X2]: (ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true)=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f542])).
% 3.98/1.00 fof(f3174,plain,(
% 3.98/1.00 ![X0]: (ifeq(true,true,theorem(or(or(X0,sF2_fnc),sF1_fnc)),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f288,f213])).
% 3.98/1.00 fof(f3175,plain,(
% 3.98/1.00 ![X0,X1]: (ifeq(true,true,theorem(or(or(X0,X1),not(X1))),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f163,f213])).
% 3.98/1.00 fof(f3240,plain,(
% 3.98/1.00 ![X0]: (theorem(or(or(X0,sF2_fnc),sF1_fnc))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f3174])).
% 3.98/1.00 fof(f3241,plain,(
% 3.98/1.00 ![X0,X1]: (theorem(or(or(X0,X1),not(X1)))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f3175])).
% 3.98/1.00 fof(f3298,plain,(
% 3.98/1.00 ![X0,X1]: (ifeq(true,true,theorem(or(X0,or(or(X1,sF2_fnc),sF1_fnc))),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f3240,f209])).
% 3.98/1.00 fof(f3307,plain,(
% 3.98/1.00 ![X0,X1]: (theorem(or(X0,or(or(X1,sF2_fnc),sF1_fnc)))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f3298])).
% 3.98/1.00 fof(f3476,plain,(
% 3.98/1.00 ![X0,X1,X2]: (ifeq(true,true,theorem(or(X0,or(or(X1,X2),not(X2)))),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f3241,f209])).
% 3.98/1.00 fof(f3485,plain,(
% 3.98/1.00 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,X2),not(X2))))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f3476])).
% 3.98/1.00 fof(f9589,plain,(
% 3.98/1.00 ![X0,X1]: (ifeq(true,true,theorem(or(or(X0,sF2_fnc),or(X1,sF1_fnc))),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f3307,f568])).
% 3.98/1.00 fof(f9591,plain,(
% 3.98/1.00 ![X0,X1,X2]: (ifeq(true,true,theorem(or(or(X0,X1),or(X2,not(X1)))),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f3485,f568])).
% 3.98/1.00 fof(f9695,plain,(
% 3.98/1.00 ![X0,X1]: (theorem(or(or(X0,sF2_fnc),or(X1,sF1_fnc)))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f9589])).
% 3.98/1.00 fof(f9697,plain,(
% 3.98/1.00 ![X0,X1,X2]: (theorem(or(or(X0,X1),or(X2,not(X1))))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f9591])).
% 3.98/1.00 fof(f10068,plain,(
% 3.98/1.00 ![X0,X1]: (ifeq(true,true,theorem(or(or(X0,sF1_fnc),or(X1,sF2_fnc))),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f9695,f297])).
% 3.98/1.00 fof(f10087,plain,(
% 3.98/1.00 ![X0,X1]: (theorem(or(or(X0,sF1_fnc),or(X1,sF2_fnc)))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f10068])).
% 3.98/1.00 fof(f10296,plain,(
% 3.98/1.00 ![X0,X1,X2]: (ifeq(true,true,theorem(or(or(X0,not(X1)),or(X2,X1))),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f9697,f297])).
% 3.98/1.00 fof(f10315,plain,(
% 3.98/1.00 ![X0,X1,X2]: (theorem(or(or(X0,not(X1)),or(X2,X1)))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f10296])).
% 3.98/1.00 fof(f11670,plain,(
% 3.98/1.00 ![X0,X1]: (ifeq(true,true,theorem(or(X0,or(or(X1,sF1_fnc),sF2_fnc))),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f10087,f568])).
% 3.98/1.00 fof(f11691,plain,(
% 3.98/1.00 ![X0,X1]: (theorem(or(X0,or(or(X1,sF1_fnc),sF2_fnc)))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f11670])).
% 3.98/1.00 fof(f12471,plain,(
% 3.98/1.00 ![X0,X1,X2]: (ifeq(true,true,theorem(or(X0,or(or(X1,not(X2)),X2))),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f10315,f568])).
% 3.98/1.00 fof(f12494,plain,(
% 3.98/1.00 ![X0,X1,X2]: (theorem(or(X0,or(or(X1,not(X2)),X2)))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f12471])).
% 3.98/1.00 fof(f13337,plain,(
% 3.98/1.00 ![X0]: (ifeq(true,true,theorem(or(or(X0,sF1_fnc),sF2_fnc)),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f11691,f208])).
% 3.98/1.00 fof(f13360,plain,(
% 3.98/1.00 ![X0]: (theorem(or(or(X0,sF1_fnc),sF2_fnc))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f13337])).
% 3.98/1.00 fof(f13385,plain,(
% 3.98/1.00 ![X0]: (ifeq(true,true,theorem(or(sF2_fnc,or(X0,sF1_fnc))),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f13360,f297])).
% 3.98/1.00 fof(f13406,plain,(
% 3.98/1.00 ![X0]: (theorem(or(sF2_fnc,or(X0,sF1_fnc)))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f13385])).
% 3.98/1.00 fof(f13473,plain,(
% 3.98/1.00 ![X0]: (ifeq(true,true,theorem(or(X0,or(sF2_fnc,sF1_fnc))),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f13406,f568])).
% 3.98/1.00 fof(f13496,plain,(
% 3.98/1.00 ![X0]: (theorem(or(X0,or(sF2_fnc,sF1_fnc)))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f13473])).
% 3.98/1.00 fof(f13614,plain,(
% 3.98/1.00 ifeq(true,true,theorem(or(sF2_fnc,sF1_fnc)),true)=true),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f13496,f208])).
% 3.98/1.00 fof(f13637,plain,(
% 3.98/1.00 theorem(or(sF2_fnc,sF1_fnc))=true),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f13614])).
% 3.98/1.00 fof(f14888,plain,(
% 3.98/1.00 ![X0,X1]: (ifeq(true,true,theorem(or(or(X0,not(X1)),X1)),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f12494,f208])).
% 3.98/1.00 fof(f14911,plain,(
% 3.98/1.00 ![X0,X1]: (theorem(or(or(X0,not(X1)),X1))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f14888])).
% 3.98/1.00 fof(f15016,plain,(
% 3.98/1.00 ![X0,X1]: (ifeq(true,true,theorem(or(X0,or(X1,not(X0)))),true)=true)),
% 3.98/1.00 inference(paramodulation,[status(thm)],[f14911,f297])).
% 3.98/1.00 fof(f15038,plain,(
% 3.98/1.00 ![X0,X1]: (theorem(or(X0,or(X1,not(X0))))=true)),
% 3.98/1.00 inference(forward_demodulation,[status(thm)],[f12,f15016])).
% 3.98/1.00 fof(f15239,plain,(
% 3.98/1.02 ![X0,X1]: (ifeq(true,true,theorem(or(X0,or(X1,not(X1)))),true)=true)),
% 3.98/1.02 inference(paramodulation,[status(thm)],[f15038,f568])).
% 3.98/1.02 fof(f15263,plain,(
% 3.98/1.02 ![X0,X1]: (theorem(or(X0,or(X1,not(X1))))=true)),
% 3.98/1.02 inference(forward_demodulation,[status(thm)],[f12,f15239])).
% 3.98/1.02 fof(f15469,plain,(
% 3.98/1.02 ![X0]: (ifeq(true,true,theorem(or(X0,not(X0))),true)=true)),
% 3.98/1.02 inference(paramodulation,[status(thm)],[f15263,f208])).
% 3.98/1.02 fof(f15492,plain,(
% 3.98/1.02 ![X0]: (theorem(or(X0,not(X0)))=true)),
% 3.98/1.02 inference(forward_demodulation,[status(thm)],[f12,f15469])).
% 3.98/1.02 fof(f15539,plain,(
% 3.98/1.02 theorem(implies(p,not(sF3_fnc)))=true),
% 3.98/1.02 inference(paramodulation,[status(thm)],[f29,f15492])).
% 3.98/1.02 fof(f15605,plain,(
% 3.98/1.02 ifeq(theorem(or(and(p,sF3_fnc),sF1_fnc)),true,ifeq(true,true,sF0_fnc,true),true)=true),
% 3.98/1.02 inference(paramodulation,[status(thm)],[f15539,f438])).
% 3.98/1.02 fof(f15629,plain,(
% 3.98/1.02 ifeq(theorem(or(sF2_fnc,sF1_fnc)),true,ifeq(true,true,sF0_fnc,true),true)=true),
% 3.98/1.02 inference(forward_demodulation,[status(thm)],[f24,f15605])).
% 3.98/1.02 fof(f15630,plain,(
% 3.98/1.02 ifeq(true,true,ifeq(true,true,sF0_fnc,true),true)=true),
% 3.98/1.02 inference(forward_demodulation,[status(thm)],[f13637,f15629])).
% 3.98/1.02 fof(f15631,plain,(
% 3.98/1.02 ifeq(true,true,sF0_fnc,true)=true),
% 3.98/1.02 inference(forward_demodulation,[status(thm)],[f12,f15630])).
% 3.98/1.02 fof(f15632,plain,(
% 3.98/1.02 sF0_fnc=true),
% 3.98/1.02 inference(forward_demodulation,[status(thm)],[f12,f15631])).
% 3.98/1.02 fof(f15633,plain,(
% 3.98/1.02 $false),
% 3.98/1.02 inference(forward_subsumption_resolution,[status(thm)],[f15632,f27])).
% 3.98/1.02 % SZS output end CNFRefutation for theBenchmark.p
% 3.98/1.05 % Elapsed time: 0.671624 seconds
% 3.98/1.05 % CPU time: 5.126595 seconds
% 3.98/1.05 % Total memory used: 184.518 MB
% 3.98/1.05 % Net memory used: 182.245 MB
%------------------------------------------------------------------------------