%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL050-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 01:09:15 PM UTC 2026
% Result : Unsatisfiable 27.81s 3.97s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL050-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.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 00:02:13 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 27.81/3.97 % Refutation found
% 27.81/3.97 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 27.81/3.97 % SZS output start CNFRefutation for theBenchmark
% 27.81/3.97 fof(f1,axiom,(
% 27.81/3.97 (![A,B,C]: (ifeq(A,A,B,C) = B ))),
% 27.81/3.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.81/3.97 fof(f2,axiom,(
% 27.81/3.97 (![X,Y]: (ifeq(is_a_theorem(implies(X,Y)),true,ifeq(is_a_theorem(X),true,is_a_theorem(Y),true),true) = true ))),
% 27.81/3.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.81/3.97 fof(f3,axiom,(
% 27.81/3.97 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) = true ))),
% 27.81/3.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.81/3.97 fof(f4,axiom,(
% 27.81/3.97 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) = true ))),
% 27.81/3.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.81/3.97 fof(f5,axiom,(
% 27.81/3.97 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) = true ))),
% 27.81/3.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.81/3.97 fof(f6,negated_conjecture,(
% 27.81/3.97 is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))) != true ),
% 27.81/3.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.81/3.98 fof(f7,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(X0,X0,X1,X2)=X1)),
% 27.81/3.98 inference(cnf_transformation,[status(thm)],[f1])).
% 27.81/3.98 fof(f8,plain,(
% 27.81/3.98 ![X0,X1]: (ifeq(is_a_theorem(implies(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true)=true)),
% 27.81/3.98 inference(cnf_transformation,[status(thm)],[f2])).
% 27.81/3.98 fof(f9,plain,(
% 27.81/3.98 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))=true)),
% 27.81/3.98 inference(cnf_transformation,[status(thm)],[f3])).
% 27.81/3.98 fof(f10,plain,(
% 27.81/3.98 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0))=true)),
% 27.81/3.98 inference(cnf_transformation,[status(thm)],[f4])).
% 27.81/3.98 fof(f11,plain,(
% 27.81/3.98 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1)))=true)),
% 27.81/3.98 inference(cnf_transformation,[status(thm)],[f5])).
% 27.81/3.98 fof(f12,plain,(
% 27.81/3.98 ~is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c))))=true),
% 27.81/3.98 inference(cnf_transformation,[status(thm)],[f6])).
% 27.81/3.98 fof(f20,plain,(
% 27.81/3.98 ![X0]: (ifeq(true,true,ifeq(is_a_theorem(implies(not(X0),X0)),true,is_a_theorem(X0),true),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f10,f8])).
% 27.81/3.98 fof(f21,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(implies(X1,X2),implies(X0,X2))),true),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f9,f8])).
% 27.81/3.98 fof(f22,plain,(
% 27.81/3.98 ![X0,X1]: (ifeq(true,true,ifeq(is_a_theorem(X0),true,is_a_theorem(implies(not(X0),X1)),true),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f11,f8])).
% 27.81/3.98 fof(f23,plain,(
% 27.81/3.98 ![X0,X1]: (ifeq(is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1)),true,ifeq(true,true,is_a_theorem(X1),true),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f10,f8])).
% 27.81/3.98 fof(f29,plain,(
% 27.81/3.98 ![X0]: (ifeq(is_a_theorem(implies(not(X0),X0)),true,is_a_theorem(X0),true)=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f20])).
% 27.81/3.98 fof(f30,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(implies(X1,X2),implies(X0,X2))),true)=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f21])).
% 27.81/3.98 fof(f31,plain,(
% 27.81/3.98 ![X0,X1]: (ifeq(is_a_theorem(X0),true,is_a_theorem(implies(not(X0),X1)),true)=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f22])).
% 27.81/3.98 fof(f32,plain,(
% 27.81/3.98 ![X0,X1]: (ifeq(is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1)),true,is_a_theorem(X1),true)=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f23])).
% 27.81/3.98 fof(f120,plain,(
% 27.81/3.98 ![X0,X1]: (ifeq(true,true,is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f10,f30])).
% 27.81/3.98 fof(f121,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f9,f30])).
% 27.81/3.98 fof(f122,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f11,f30])).
% 27.81/3.98 fof(f130,plain,(
% 27.81/3.98 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f120])).
% 27.81/3.98 fof(f131,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f121])).
% 27.81/3.98 fof(f132,plain,(
% 27.81/3.98 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f122])).
% 27.81/3.98 fof(f140,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(implies(not(X0),X0),X1)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f130,f8])).
% 27.81/3.98 fof(f145,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(implies(not(X0),X0),X1)),X2)),true,is_a_theorem(X2),true)=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f140])).
% 27.81/3.98 fof(f148,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,ifeq(is_a_theorem(implies(implies(not(X0),X1),X2)),true,is_a_theorem(implies(X0,X2)),true),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f132,f8])).
% 27.81/3.98 fof(f153,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (ifeq(is_a_theorem(implies(implies(implies(implies(not(X0),X1),X2),implies(X0,X2)),X3)),true,ifeq(true,true,is_a_theorem(X3),true),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f132,f8])).
% 27.81/3.98 fof(f155,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(is_a_theorem(implies(implies(not(X0),X1),X2)),true,is_a_theorem(implies(X0,X2)),true)=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f148])).
% 27.81/3.98 fof(f158,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (ifeq(is_a_theorem(implies(implies(implies(implies(not(X0),X1),X2),implies(X0,X2)),X3)),true,is_a_theorem(X3),true)=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f153])).
% 27.81/3.98 fof(f223,plain,(
% 27.81/3.98 ![X0]: (ifeq(true,true,is_a_theorem(implies(X0,X0)),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f132,f32])).
% 27.81/3.98 fof(f241,plain,(
% 27.81/3.98 ![X0]: (is_a_theorem(implies(X0,X0))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f223])).
% 27.81/3.98 fof(f268,plain,(
% 27.81/3.98 ![X0,X1]: (ifeq(true,true,is_a_theorem(implies(not(implies(X0,X0)),X1)),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f241,f31])).
% 27.81/3.98 fof(f275,plain,(
% 27.81/3.98 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X0)),X1))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f268])).
% 27.81/3.98 fof(f288,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f275,f30])).
% 27.81/3.98 fof(f299,plain,(
% 27.81/3.98 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f288])).
% 27.81/3.98 fof(f1974,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f299,f155])).
% 27.81/3.98 fof(f2038,plain,(
% 27.81/3.98 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f1974])).
% 27.81/3.98 fof(f2126,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (ifeq(true,true,is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f2038,f30])).
% 27.81/3.98 fof(f2154,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f2126])).
% 27.81/3.98 fof(f2681,plain,(
% 27.81/3.98 ![X0,X1]: (ifeq(true,true,is_a_theorem(implies(X0,implies(X1,X1))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f2154,f32])).
% 27.81/3.98 fof(f2721,plain,(
% 27.81/3.98 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f2681])).
% 27.81/3.98 fof(f2838,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f2721,f30])).
% 27.81/3.98 fof(f2866,plain,(
% 27.81/3.98 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f2838])).
% 27.81/3.98 fof(f3014,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X3,X3),X1),X2))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f2866,f30])).
% 27.81/3.98 fof(f3015,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,X0),X1)),true,is_a_theorem(implies(X2,X1)),true),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f2866,f8])).
% 27.81/3.98 fof(f3037,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X3,X3),X1),X2)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f3014])).
% 27.81/3.98 fof(f3038,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(is_a_theorem(implies(implies(X0,X0),X1)),true,is_a_theorem(implies(X2,X1)),true)=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f3015])).
% 27.81/3.98 fof(f3262,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)),true,is_a_theorem(implies(implies(X2,X0),X3)),true),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f131,f8])).
% 27.81/3.98 fof(f3285,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)),true,is_a_theorem(implies(implies(X2,X0),X3)),true)=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f3262])).
% 27.81/3.98 fof(f3795,plain,(
% 27.81/3.98 ![X0,X1]: (ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f3037,f32])).
% 27.81/3.98 fof(f3829,plain,(
% 27.81/3.98 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f3795])).
% 27.81/3.98 fof(f3864,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),X1))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f3829,f30])).
% 27.81/3.98 fof(f3890,plain,(
% 27.81/3.98 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),X1)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f3864])).
% 27.81/3.98 fof(f4537,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f3890,f3038])).
% 27.81/3.98 fof(f4538,plain,(
% 27.81/3.98 ![X0,X1]: (ifeq(true,true,is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f130,f3038])).
% 27.81/3.98 fof(f4640,plain,(
% 27.81/3.98 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f4537])).
% 27.81/3.98 fof(f4641,plain,(
% 27.81/3.98 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f4538])).
% 27.81/3.98 fof(f5245,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f4641,f30])).
% 27.81/3.98 fof(f5279,plain,(
% 27.81/3.98 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f5245])).
% 27.81/3.98 fof(f5386,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (ifeq(true,true,is_a_theorem(implies(implies(implies(implies(implies(X0,X0),X1),X1),X2),implies(X3,X2))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f4640,f30])).
% 27.81/3.98 fof(f5420,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X0),X1),X1),X2),implies(X3,X2)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f5386])).
% 27.81/3.98 fof(f17851,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (ifeq(true,true,is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X3,implies(X0,X2)))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f5420,f3285])).
% 27.81/3.98 fof(f17853,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f5279,f3285])).
% 27.81/3.98 fof(f18022,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X3,implies(X0,X2))))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f17851])).
% 27.81/3.98 fof(f18024,plain,(
% 27.81/3.98 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1))))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f17853])).
% 27.81/3.98 fof(f18478,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X1,X0),X0)))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f18024,f3285])).
% 27.81/3.98 fof(f18582,plain,(
% 27.81/3.98 ![X0,X1,X2]: (is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X1,X0),X0))))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f18478])).
% 27.81/3.98 fof(f19531,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X0),X0)))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f18582,f155])).
% 27.81/3.98 fof(f19612,plain,(
% 27.81/3.98 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X0),X0))))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f19531])).
% 27.81/3.98 fof(f19830,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (ifeq(true,true,is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),X2)),X3),implies(X2,X3))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f19612,f30])).
% 27.81/3.98 fof(f19872,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),X2)),X3),implies(X2,X3)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f19830])).
% 27.81/3.98 fof(f20297,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,implies(implies(X1,X3),X3)))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f18022,f3285])).
% 27.81/3.98 fof(f20406,plain,(
% 27.81/3.98 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,implies(implies(X1,X3),X3))))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f20297])).
% 27.81/3.98 fof(f27835,plain,(
% 27.81/3.98 ![X0,X1]: (ifeq(true,true,is_a_theorem(implies(X0,implies(implies(X1,X0),X0))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f19872,f32])).
% 27.81/3.98 fof(f27944,plain,(
% 27.81/3.98 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f27835])).
% 27.81/3.98 fof(f28123,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X1,X2))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f27944,f30])).
% 27.81/3.98 fof(f28172,plain,(
% 27.81/3.98 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X1,X2)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f28123])).
% 27.81/3.98 fof(f29257,plain,(
% 27.81/3.98 ![X0,X1]: (ifeq(true,true,is_a_theorem(implies(X0,implies(X1,X0))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f28172,f158])).
% 27.81/3.98 fof(f29361,plain,(
% 27.81/3.98 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f29257])).
% 27.81/3.98 fof(f29654,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f29361,f30])).
% 27.81/3.98 fof(f29705,plain,(
% 27.81/3.98 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f29654])).
% 27.81/3.98 fof(f30922,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,X1),X2)),true,is_a_theorem(implies(X1,X2)),true),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f29705,f8])).
% 27.81/3.98 fof(f30967,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(is_a_theorem(implies(implies(X0,X1),X2)),true,is_a_theorem(implies(X1,X2)),true)=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f30922])).
% 27.81/3.98 fof(f44903,plain,(
% 27.81/3.98 ![X0,X1,X2]: (ifeq(true,true,is_a_theorem(implies(X0,implies(implies(implies(implies(not(X1),X1),X1),X2),X2))),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f20406,f145])).
% 27.81/3.98 fof(f45030,plain,(
% 27.81/3.98 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(implies(not(X1),X1),X1),X2),X2)))=true)),
% 27.81/3.98 inference(forward_demodulation,[status(thm)],[f7,f44903])).
% 27.81/3.98 fof(f46801,plain,(
% 27.81/3.98 ![X0,X1]: (ifeq(true,true,is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),true)=true)),
% 27.81/3.98 inference(paramodulation,[status(thm)],[f45030,f29])).
% 27.81/3.98 fof(f46944,plain,(
% 27.81/3.98 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1))=true)),
% 26.76/4.02 inference(forward_demodulation,[status(thm)],[f7,f46801])).
% 26.76/4.02 fof(f47043,plain,(
% 26.76/4.02 ![X0,X1]: (ifeq(true,true,is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),true)=true)),
% 26.76/4.02 inference(paramodulation,[status(thm)],[f46944,f3285])).
% 26.76/4.02 fof(f47164,plain,(
% 26.76/4.02 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1)))=true)),
% 26.76/4.02 inference(forward_demodulation,[status(thm)],[f7,f47043])).
% 26.76/4.02 fof(f48147,plain,(
% 26.76/4.02 ![X0,X1]: (ifeq(true,true,is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),true)=true)),
% 26.76/4.02 inference(paramodulation,[status(thm)],[f47164,f3285])).
% 26.76/4.02 fof(f48276,plain,(
% 26.76/4.02 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0)))=true)),
% 26.76/4.02 inference(forward_demodulation,[status(thm)],[f7,f48147])).
% 26.76/4.02 fof(f76209,plain,(
% 26.76/4.02 ![X0,X1]: (ifeq(true,true,is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),true)=true)),
% 26.76/4.02 inference(paramodulation,[status(thm)],[f48276,f30967])).
% 26.76/4.02 fof(f76668,plain,(
% 26.76/4.02 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))=true)),
% 26.76/4.02 inference(forward_demodulation,[status(thm)],[f7,f76209])).
% 26.76/4.02 fof(f77133,plain,(
% 26.76/4.02 ![X0,X1,X2]: (ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),true)=true)),
% 26.76/4.02 inference(paramodulation,[status(thm)],[f76668,f30])).
% 26.76/4.02 fof(f77213,plain,(
% 26.76/4.02 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)))=true)),
% 26.76/4.02 inference(forward_demodulation,[status(thm)],[f7,f77133])).
% 26.76/4.02 fof(f84466,plain,(
% 26.76/4.02 ![X0,X1,X2]: (ifeq(true,true,is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),true)=true)),
% 26.76/4.02 inference(paramodulation,[status(thm)],[f77213,f3285])).
% 26.76/4.02 fof(f84634,plain,(
% 26.76/4.02 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))=true)),
% 26.76/4.02 inference(forward_demodulation,[status(thm)],[f7,f84466])).
% 26.76/4.02 fof(f106344,plain,(
% 26.76/4.02 ~true=true),
% 26.76/4.02 inference(backward_demodulation,[status(thm)],[f84634,f12])).
% 26.76/4.02 fof(f106669,plain,(
% 26.76/4.02 $false),
% 26.76/4.02 inference(trivial_equality_resolution,[status(thm)],[f106344])).
% 26.76/4.02 % SZS output end CNFRefutation for theBenchmark.p
% 5.77/4.11 % Elapsed time: 3.728999 seconds
% 5.77/4.11 % CPU time: 29.319823 seconds
% 5.77/4.11 % Total memory used: 554.466 MB
% 5.77/4.11 % Net memory used: 541.453 MB
%------------------------------------------------------------------------------