%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV089+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 02:50:03 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV089+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 08:30:04 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f2,axiom,(
% 0.13/0.40 (! [X,Y,Z] :( ( gt(X,Y)& gt(Y,Z) )=> gt(X,Z) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,axiom,(
% 0.13/0.40 (! [X] : ~ gt(X,X) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f40,axiom,(
% 0.13/0.40 (! [X] : pred(succ(X)) = X )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f45,axiom,(
% 0.13/0.40 (! [X,U,V,VAL] : a_select3(tptp_update3(X,U,V,VAL),U,V) = VAL )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f46,axiom,(
% 0.13/0.40 (! [I,J,U,V,X,VAL,VAL2] :( ( I != U& J = V& a_select3(X,U,V) = VAL )=> a_select3(tptp_update3(X,I,J,VAL2),U,V) = VAL ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f48,axiom,(
% 0.13/0.40 (! [X,U,VAL] : a_select2(tptp_update2(X,U,VAL),U) = VAL )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f49,axiom,(
% 0.13/0.40 (! [I,U,X,VAL,VAL2] :( ( I != U& a_select2(X,U) = VAL )=> a_select2(tptp_update2(X,I,VAL2),U) = VAL ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f53,conjecture,(
% 0.13/0.40 ( true=> ( a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) = use& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) = use& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) = use& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) = use& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) = use& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) = use ) ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f54,negated_conjecture,(
% 0.13/0.40 ~(( true=> ( a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) = use& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) = use& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) = use& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) = use& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) = use& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) = use ) ) )),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f53])).
% 0.13/0.40 fof(f55,axiom,(
% 0.13/0.40 gt(n5,n4) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f64,axiom,(
% 0.13/0.40 gt(n1,n0) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f69,axiom,(
% 0.13/0.40 gt(n2,n1) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f74,axiom,(
% 0.13/0.40 gt(n4,n3) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f75,axiom,(
% 0.13/0.40 gt(n5,n3) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f84,axiom,(
% 0.13/0.40 succ(n0) = n1 ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f85,axiom,(
% 0.13/0.40 succ(succ(n0)) = n2 ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f88,plain,(
% 0.13/0.40 ![X,Y,Z]: ((~gt(X,Y)|~gt(Y,Z))|gt(X,Z))),
% 0.13/0.41 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.41 fof(f89,plain,(
% 0.13/0.41 ![X,Z]: ((![Y]: (~gt(X,Y)|~gt(Y,Z)))|gt(X,Z))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f88])).
% 0.13/0.41 fof(f90,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~gt(X0,X1)|~gt(X1,X2)|gt(X0,X2))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f89])).
% 0.13/0.41 fof(f91,plain,(
% 0.13/0.41 ![X0]: (~gt(X0,X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.41 fof(f211,plain,(
% 0.13/0.41 ![X0]: (pred(succ(X0))=X0)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.41 fof(f222,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (a_select3(tptp_update3(X0,X1,X2,X3),X1,X2)=X3)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f45])).
% 0.13/0.41 fof(f223,plain,(
% 0.13/0.41 ![I,J,U,V,X,VAL,VAL2]: (((I=U|~J=V)|~a_select3(X,U,V)=VAL)|a_select3(tptp_update3(X,I,J,VAL2),U,V)=VAL)),
% 0.13/0.41 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.13/0.41 fof(f224,plain,(
% 0.13/0.41 ![I,J,U,V,X,VAL]: (((I=U|~J=V)|~a_select3(X,U,V)=VAL)|(![VAL2]: a_select3(tptp_update3(X,I,J,VAL2),U,V)=VAL))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f223])).
% 0.13/0.41 fof(f225,plain,(
% 0.13/0.41 ![X0,X1,X2,X3,X4,X5,X6]: (X0=X1|~X2=X3|~a_select3(X4,X1,X3)=X5|a_select3(tptp_update3(X4,X0,X2,X6),X1,X3)=X5)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f224])).
% 0.13/0.41 fof(f233,plain,(
% 0.13/0.41 ![X0,X1,X2]: (a_select2(tptp_update2(X0,X1,X2),X1)=X2)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/0.41 fof(f234,plain,(
% 0.13/0.41 ![I,U,X,VAL,VAL2]: ((I=U|~a_select2(X,U)=VAL)|a_select2(tptp_update2(X,I,VAL2),U)=VAL)),
% 0.13/0.41 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.13/0.41 fof(f235,plain,(
% 0.13/0.41 ![I,U,X,VAL]: ((I=U|~a_select2(X,U)=VAL)|(![VAL2]: a_select2(tptp_update2(X,I,VAL2),U)=VAL))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f234])).
% 0.13/0.41 fof(f236,plain,(
% 0.13/0.41 ![X0,X1,X2,X3,X4]: (X0=X1|~a_select2(X2,X1)=X3|a_select2(tptp_update2(X2,X0,X4),X1)=X3)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f235])).
% 0.13/0.41 fof(f244,plain,(
% 0.13/0.41 (true&(((((~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0)=use|~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)=use)|~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)=use)|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3)=use)|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use)|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5)=use))),
% 0.13/0.41 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.13/0.41 fof(f246,plain,(
% 0.13/0.41 ~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0)=use|~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)=use|~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5)=use),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f244])).
% 0.13/0.41 fof(f247,plain,(
% 0.13/0.41 gt(n5,n4)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f55])).
% 0.13/0.41 fof(f256,plain,(
% 0.13/0.41 gt(n1,n0)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f64])).
% 0.13/0.41 fof(f261,plain,(
% 0.13/0.41 gt(n2,n1)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f69])).
% 0.13/0.41 fof(f266,plain,(
% 0.13/0.41 gt(n4,n3)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f74])).
% 0.13/0.41 fof(f267,plain,(
% 0.13/0.41 gt(n5,n3)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/0.41 fof(f282,plain,(
% 0.13/0.41 succ(n0)=n1),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f84])).
% 0.13/0.41 fof(f283,plain,(
% 0.13/0.41 succ(succ(n0))=n2),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f85])).
% 0.13/0.41 fof(f328,plain,(
% 0.13/0.41 ![X0,X1,X2,X3,X4]: (X0=X1|a_select3(tptp_update3(X2,X0,X3,X4),X1,X3)=a_select3(X2,X1,X3))),
% 0.13/0.41 inference(destructive_equality_resolution,[status(thm)],[f225])).
% 0.13/0.41 fof(f329,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (X0=X1|a_select2(tptp_update2(X2,X0,X3),X1)=a_select2(X2,X1))),
% 0.13/0.41 inference(destructive_equality_resolution,[status(thm)],[f236])).
% 0.13/0.41 fof(f330,plain,(
% 0.13/0.41 ~use=use|~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)=use|~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5)=use),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f222,f246])).
% 0.13/0.41 fof(f331,plain,(
% 0.13/0.41 ~use=use|~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)=use|~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)=use|~use=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5)=use),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f233,f330])).
% 0.13/0.41 fof(f332,plain,(
% 0.13/0.41 ~use=use|~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)=use|~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5)=use),
% 0.13/0.41 inference(duplicate_literals_removal,[status(thm)],[f331])).
% 0.13/0.41 fof(f333,plain,(
% 0.13/0.41 ~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)=use|~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5)=use),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f332])).
% 0.13/0.41 fof(f339,plain,(
% 0.13/0.41 succ(n1)=n2),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f282,f283])).
% 0.13/0.41 fof(f342,plain,(
% 0.13/0.41 ~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)=use|~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n2,n0)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5)=use|n0=n2),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f328,f333])).
% 0.13/0.41 fof(f349,plain,(
% 0.13/0.41 ![X0,X1]: (~gt(X0,X1)|~gt(X1,X0))),
% 0.13/0.41 inference(resolution,[status(thm)],[f90,f91])).
% 0.13/0.41 fof(f351,plain,(
% 0.13/0.41 ~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)=use|~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n2,n0)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5)=use|n0=n2|n3=n5),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f329,f342])).
% 0.13/0.41 fof(f358,plain,(
% 0.13/0.41 ~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)=use|~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n2,n0)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5)=use|n0=n2|n3=n5|n1=n2),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f328,f351])).
% 0.13/0.41 fof(f359,plain,(
% 0.13/0.41 ~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)=use|~a_select3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n2,n0)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5)=use|n0=n2|n3=n5|n1=n2|n0=n2),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f328,f358])).
% 0.13/0.41 fof(f360,plain,(
% 0.13/0.41 ~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)=use|~use=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5)=use|n0=n2|n3=n5|n1=n2|n0=n2),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f222,f359])).
% 0.13/0.41 fof(f361,plain,(
% 0.13/0.41 ~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)=use|~use=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5)=use|n0=n2|n3=n5|n1=n2),
% 0.13/0.41 inference(duplicate_literals_removal,[status(thm)],[f360])).
% 0.13/0.41 fof(f362,plain,(
% 0.13/0.41 ~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5)=use|n0=n2|n3=n5|n1=n2),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f361])).
% 0.13/0.41 fof(f363,plain,(
% 0.13/0.41 ~a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n1,n0)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5)=use|n0=n2|n3=n5|n1=n2|n0=n1),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f328,f362])).
% 0.13/0.41 fof(f364,plain,(
% 0.13/0.41 ~use=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5)=use|n0=n2|n3=n5|n1=n2|n0=n1),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f222,f363])).
% 0.13/0.41 fof(f365,plain,(
% 0.13/0.41 ~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5)=use|n0=n2|n3=n5|n1=n2|n0=n1),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f364])).
% 0.13/0.41 fof(f370,plain,(
% 0.13/0.41 pred(n1)=n0),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f282,f211])).
% 0.13/0.41 fof(f372,plain,(
% 0.13/0.41 pred(n2)=n1),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f339,f211])).
% 0.13/0.41 fof(f383,plain,(
% 0.13/0.41 ~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n5)=use|n0=n2|n3=n5|n1=n2|n0=n1|n4=n5),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f329,f365])).
% 0.13/0.41 fof(f384,plain,(
% 0.13/0.41 ~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n5)=use|n0=n2|n3=n5|n1=n2|n0=n1|n4=n5|n3=n5),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f329,f383])).
% 0.13/0.41 fof(f385,plain,(
% 0.13/0.41 ~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~use=use|n0=n2|n3=n5|n1=n2|n0=n1|n4=n5|n3=n5),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f233,f384])).
% 0.13/0.41 fof(f386,plain,(
% 0.13/0.41 ~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|~use=use|n0=n2|n3=n5|n1=n2|n0=n1|n4=n5),
% 0.13/0.41 inference(duplicate_literals_removal,[status(thm)],[f385])).
% 0.13/0.41 fof(f387,plain,(
% 0.13/0.41 ~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4)=use|n0=n2|n3=n5|n1=n2|n0=n1|n4=n5),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f386])).
% 0.13/0.41 fof(f388,plain,(
% 0.13/0.41 ~a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n4)=use|n0=n2|n3=n5|n1=n2|n0=n1|n4=n5|n3=n4),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f329,f387])).
% 0.13/0.41 fof(f389,plain,(
% 0.13/0.41 ~use=use|n0=n2|n3=n5|n1=n2|n0=n1|n4=n5|n3=n4),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f233,f388])).
% 0.13/0.41 fof(f390,plain,(
% 0.13/0.41 n0=n2|n3=n5|n1=n2|n0=n1|n4=n5|n3=n4),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f389])).
% 0.13/0.41 fof(f409,plain,(
% 0.13/0.41 ~gt(n1,n2)),
% 0.13/0.41 inference(resolution,[status(thm)],[f349,f261])).
% 0.13/0.41 fof(f470,plain,(
% 0.13/0.41 gt(n4,n4)|n0=n2|n3=n5|n1=n2|n0=n1|n3=n4),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f390,f247])).
% 0.13/0.41 fof(f483,plain,(
% 0.13/0.41 n0=n2|n3=n5|n1=n2|n0=n1|n3=n4),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f470,f91])).
% 0.13/0.41 fof(f490,plain,(
% 0.13/0.41 gt(n3,n3)|n0=n2|n1=n2|n0=n1|n3=n4),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f483,f267])).
% 0.13/0.41 fof(f505,plain,(
% 0.13/0.41 n0=n2|n1=n2|n0=n1|n3=n4),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f490,f91])).
% 0.13/0.41 fof(f517,plain,(
% 0.13/0.41 gt(n3,n3)|n0=n2|n1=n2|n0=n1),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f505,f266])).
% 0.13/0.41 fof(f533,plain,(
% 0.13/0.41 n0=n2|n1=n2|n0=n1),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f517,f91])).
% 0.13/0.41 fof(f601,plain,(
% 0.13/0.41 pred(n1)=n1|n0=n2|n0=n1),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f533,f372])).
% 0.13/0.41 fof(f617,plain,(
% 0.13/0.41 n0=n1|n0=n2|n0=n1),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f370,f601])).
% 0.13/0.41 fof(f618,plain,(
% 0.13/0.41 n0=n1|n0=n2),
% 0.13/0.41 inference(duplicate_literals_removal,[status(thm)],[f617])).
% 0.13/0.41 fof(f630,plain,(
% 0.13/0.41 ~gt(n1,n0)|n0=n1),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f618,f409])).
% 0.13/0.41 fof(f660,plain,(
% 0.13/0.41 succ(n0)=n2),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f697,f339])).
% 0.13/0.41 fof(f668,plain,(
% 0.13/0.41 gt(n2,n0)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f697,f261])).
% 0.13/0.41 fof(f697,plain,(
% 0.13/0.41 n0=n1),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f630,f256])).
% 0.13/0.41 fof(f755,plain,(
% 0.13/0.41 n1=n2),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f282,f660])).
% 0.13/0.41 fof(f774,plain,(
% 0.13/0.41 n0=n2),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f697,f755])).
% 0.13/0.41 fof(f796,plain,(
% 0.13/0.41 gt(n0,n0)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f774,f668])).
% 0.13/0.41 fof(f797,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f796,f91])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.078595 seconds
% 0.13/0.44 % CPU time: 0.297424 seconds
% 0.13/0.44 % Total memory used: 110.942 MB
% 0.13/0.44 % Net memory used: 110.522 MB
%------------------------------------------------------------------------------