%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC416+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 02:42:25 PM UTC 2026
% Result : Theorem 16.51s 2.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC416+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:22:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 16.51/2.58 % Refutation found
% 16.51/2.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.51/2.58 % SZS output start CNFRefutation for theBenchmark
% 16.51/2.58 fof(f15,axiom,(
% 16.51/2.58 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 16.51/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.51/2.58 fof(f16,axiom,(
% 16.51/2.58 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 16.51/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.51/2.58 fof(f17,axiom,(
% 16.51/2.58 ssList(nil) ),
% 16.51/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.51/2.58 fof(f21,axiom,(
% 16.51/2.58 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> nil != cons(V,U) ) )) )),
% 16.51/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.51/2.58 fof(f23,axiom,(
% 16.51/2.58 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> hd(cons(V,U)) = V ) )) )),
% 16.51/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.51/2.58 fof(f81,axiom,(
% 16.51/2.58 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> cons(V,U) = app(cons(V,nil),U) ) )) )),
% 16.51/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.51/2.58 fof(f96,conjecture,(
% 16.51/2.58 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& V = Y& (? [Z] :( ssList(Z)& app(Z,U) = Y& (? [X1] :( ssItem(X1)& cons(X1,nil) = Z& hd(V) = X1& neq(nil,V) ) )) )))| (! [X2] :( ssItem(X2)=> app(cons(X2,nil),W) != X ) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 16.51/2.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.51/2.58 fof(f97,negated_conjecture,(
% 16.51/2.58 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& V = Y& (? [Z] :( ssList(Z)& app(Z,U) = Y& (? [X1] :( ssItem(X1)& cons(X1,nil) = Z& hd(V) = X1& neq(nil,V) ) )) )))| (! [X2] :( ssItem(X2)=> app(cons(X2,nil),W) != X ) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 16.51/2.58 inference(negated_conjecture,[status(cth)],[f96])).
% 16.51/2.58 fof(f217,plain,(
% 16.51/2.58 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 16.51/2.58 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 16.51/2.58 fof(f218,plain,(
% 16.51/2.58 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 16.51/2.58 inference(NNF_transformation,[status(thm)],[f217])).
% 16.51/2.58 fof(f220,plain,(
% 16.51/2.58 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 16.51/2.58 inference(cnf_transformation,[status(thm)],[f218])).
% 16.51/2.58 fof(f221,plain,(
% 16.51/2.58 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 16.51/2.58 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 16.51/2.58 fof(f222,plain,(
% 16.51/2.58 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 16.51/2.58 inference(cnf_transformation,[status(thm)],[f221])).
% 16.51/2.58 fof(f223,plain,(
% 16.51/2.58 ssList(nil)),
% 16.51/2.58 inference(cnf_transformation,[status(thm)],[f17])).
% 16.51/2.58 fof(f234,plain,(
% 16.51/2.58 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|~nil=cons(V,U))))),
% 16.51/2.58 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 16.51/2.58 fof(f235,plain,(
% 16.51/2.58 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~nil=cons(X1,X0))),
% 16.51/2.58 inference(cnf_transformation,[status(thm)],[f234])).
% 16.51/2.58 fof(f238,plain,(
% 16.51/2.58 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|hd(cons(V,U))=V)))),
% 16.51/2.58 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 16.51/2.58 fof(f239,plain,(
% 16.51/2.58 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|hd(cons(X1,X0))=X1)),
% 16.51/2.58 inference(cnf_transformation,[status(thm)],[f238])).
% 16.51/2.58 fof(f379,plain,(
% 16.51/2.58 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|cons(V,U)=app(cons(V,nil),U))))),
% 16.51/2.58 inference(pre_NNF_transformation,[status(thm)],[f81])).
% 16.51/2.58 fof(f380,plain,(
% 16.51/2.58 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|cons(X1,X0)=app(cons(X1,nil),X0))),
% 16.51/2.58 inference(cnf_transformation,[status(thm)],[f379])).
% 16.51/2.58 fof(f415,plain,(
% 16.51/2.58 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(((neq(V,nil)&(![Y]: ((~ssList(Y)|~V=Y)|(![Z]: ((~ssList(Z)|~app(Z,U)=Y)|(![X1]: (((~ssItem(X1)|~cons(X1,nil)=Z)|~hd(V)=X1)|~neq(nil,V))))))))&(?[X2]: (ssItem(X2)&app(cons(X2,nil),W)=X)))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 16.51/2.58 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 16.51/2.58 fof(f416,definition,(
% 16.51/2.58 ![U,V,W,X]: (sP0_prd(X,W,V,U)<=>((neq(V,nil)&(![Y]: ((~ssList(Y)|~V=Y)|(![Z]: ((~ssList(Z)|~app(Z,U)=Y)|(![X1]: (((~ssItem(X1)|~cons(X1,nil)=Z)|~hd(V)=X1)|~neq(nil,V))))))))&(?[X2]: (ssItem(X2)&app(cons(X2,nil),W)=X))))),
% 16.51/2.58 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 16.51/2.58 fof(f417,plain,(
% 16.51/2.58 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(sP0_prd(X,W,V,U)|(neq(V,nil)&~neq(X,nil)))))))))))),
% 16.51/2.58 inference(formula_renaming,[status(thm)],[f415,f416])).
% 16.51/2.58 fof(f418,plain,(
% 16.51/2.58 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(sP0_prd(sK50_skl,sK49_skl,sK48_skl,sK47_skl)|(neq(sK48_skl,nil)&~neq(sK50_skl,nil))))))))),
% 16.51/2.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl)],[f417])).
% 16.51/2.58 fof(f419,plain,(
% 16.51/2.58 ssList(sK47_skl)),
% 16.51/2.58 inference(cnf_transformation,[status(thm)],[f418])).
% 16.51/2.58 fof(f420,plain,(
% 16.51/2.58 ssList(sK48_skl)),
% 16.51/2.58 inference(cnf_transformation,[status(thm)],[f418])).
% 16.51/2.58 fof(f423,plain,(
% 16.51/2.58 sK48_skl=sK50_skl),
% 16.51/2.58 inference(cnf_transformation,[status(thm)],[f418])).
% 16.51/2.58 fof(f424,plain,(
% 16.51/2.58 sK47_skl=sK49_skl),
% 16.51/2.59 inference(cnf_transformation,[status(thm)],[f418])).
% 16.51/2.59 fof(f425,plain,(
% 16.51/2.59 sP0_prd(sK50_skl,sK49_skl,sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 16.51/2.59 inference(cnf_transformation,[status(thm)],[f418])).
% 16.51/2.59 fof(f426,plain,(
% 16.51/2.59 sP0_prd(sK50_skl,sK49_skl,sK48_skl,sK47_skl)|~neq(sK50_skl,nil)),
% 16.51/2.59 inference(cnf_transformation,[status(thm)],[f418])).
% 16.51/2.59 fof(f427,plain,(
% 16.51/2.59 ![U,V,W,X]: ((~sP0_prd(X,W,V,U)|((neq(V,nil)&(![Y]: ((~ssList(Y)|~V=Y)|(![Z]: ((~ssList(Z)|~app(Z,U)=Y)|(![X1]: (((~ssItem(X1)|~cons(X1,nil)=Z)|~hd(V)=X1)|~neq(nil,V))))))))&(?[X2]: (ssItem(X2)&app(cons(X2,nil),W)=X))))&(sP0_prd(X,W,V,U)|((~neq(V,nil)|(?[Y]: ((ssList(Y)&V=Y)&(?[Z]: ((ssList(Z)&app(Z,U)=Y)&(?[X1]: (((ssItem(X1)&cons(X1,nil)=Z)&hd(V)=X1)&neq(nil,V))))))))|(![X2]: (~ssItem(X2)|~app(cons(X2,nil),W)=X)))))),
% 16.51/2.59 inference(NNF_transformation,[status(thm)],[f416])).
% 16.51/2.59 fof(f428,plain,(
% 16.51/2.59 (![U,V,W,X]: (~sP0_prd(X,W,V,U)|((neq(V,nil)&(![Y]: ((~ssList(Y)|~V=Y)|(![Z]: ((~ssList(Z)|~app(Z,U)=Y)|((![X1]: ((~ssItem(X1)|~cons(X1,nil)=Z)|~hd(V)=X1))|~neq(nil,V)))))))&(?[X2]: (ssItem(X2)&app(cons(X2,nil),W)=X)))))&(![U,V,W,X]: (sP0_prd(X,W,V,U)|((~neq(V,nil)|(?[Y]: ((ssList(Y)&V=Y)&(?[Z]: ((ssList(Z)&app(Z,U)=Y)&((?[X1]: ((ssItem(X1)&cons(X1,nil)=Z)&hd(V)=X1))&neq(nil,V)))))))|(![X2]: (~ssItem(X2)|~app(cons(X2,nil),W)=X)))))),
% 16.51/2.59 inference(miniscoping,[status(thm)],[f427])).
% 16.51/2.59 fof(f429,plain,(
% 16.51/2.59 (![U,V,W,X]: (~sP0_prd(X,W,V,U)|((neq(V,nil)&(![Y]: ((~ssList(Y)|~V=Y)|(![Z]: ((~ssList(Z)|~app(Z,U)=Y)|((![X1]: ((~ssItem(X1)|~cons(X1,nil)=Z)|~hd(V)=X1))|~neq(nil,V)))))))&(ssItem(sK51_skl(X,W,V,U))&app(cons(sK51_skl(X,W,V,U),nil),W)=X))))&(![U,V,W,X]: (sP0_prd(X,W,V,U)|((~neq(V,nil)|((ssList(sK52_skl(X,W,V,U))&V=sK52_skl(X,W,V,U))&((ssList(sK53_skl(X,W,V,U))&app(sK53_skl(X,W,V,U),U)=sK52_skl(X,W,V,U))&(((ssItem(sK54_skl(X,W,V,U))&cons(sK54_skl(X,W,V,U),nil)=sK53_skl(X,W,V,U))&hd(V)=sK54_skl(X,W,V,U))&neq(nil,V)))))|(![X2]: (~ssItem(X2)|~app(cons(X2,nil),W)=X)))))),
% 16.51/2.59 inference(skolemize,[status(esa),new_symbols(skolem,[sK51_skl,sK52_skl,sK53_skl,sK54_skl]),skolemize(X2,sK51_skl(X,W,V,U)),skolemize(Y,sK52_skl(X,W,V,U)),skolemize(Z,sK53_skl(X,W,V,U)),skolemize(X1,sK54_skl(X,W,V,U))],[f428])).
% 16.51/2.59 fof(f431,plain,(
% 16.51/2.59 ![X0,X1,X2,X3,X4,X5,X6]: (~sP0_prd(X0,X1,X2,X3)|~ssList(X4)|~X2=X4|~ssList(X5)|~app(X5,X3)=X4|~ssItem(X6)|~cons(X6,nil)=X5|~hd(X2)=X6|~neq(nil,X2))),
% 16.51/2.59 inference(cnf_transformation,[status(thm)],[f429])).
% 16.51/2.59 fof(f432,plain,(
% 16.51/2.59 ![X0,X1,X2,X3]: (~sP0_prd(X0,X1,X2,X3)|ssItem(sK51_skl(X0,X1,X2,X3)))),
% 16.51/2.59 inference(cnf_transformation,[status(thm)],[f429])).
% 16.51/2.59 fof(f433,plain,(
% 16.51/2.59 ![X0,X1,X2,X3]: (~sP0_prd(X0,X1,X2,X3)|app(cons(sK51_skl(X0,X1,X2,X3),nil),X1)=X0)),
% 16.51/2.59 inference(cnf_transformation,[status(thm)],[f429])).
% 16.51/2.59 fof(f476,plain,(
% 16.51/2.59 sP0_prd(sK48_skl,sK49_skl,sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 16.51/2.59 inference(forward_demodulation,[status(thm)],[f423,f425])).
% 16.51/2.59 fof(f477,plain,(
% 16.51/2.59 sP0_prd(sK48_skl,sK47_skl,sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 16.51/2.59 inference(forward_demodulation,[status(thm)],[f424,f476])).
% 16.51/2.59 fof(f478,plain,(
% 16.51/2.59 sP0_prd(sK48_skl,sK49_skl,sK48_skl,sK47_skl)|~neq(sK50_skl,nil)),
% 16.51/2.59 inference(forward_demodulation,[status(thm)],[f423,f426])).
% 16.51/2.59 fof(f479,plain,(
% 16.51/2.59 sP0_prd(sK48_skl,sK47_skl,sK48_skl,sK47_skl)|~neq(sK50_skl,nil)),
% 16.51/2.59 inference(forward_demodulation,[status(thm)],[f424,f478])).
% 16.51/2.59 fof(f480,plain,(
% 16.51/2.59 sP0_prd(sK48_skl,sK47_skl,sK48_skl,sK47_skl)|~neq(sK48_skl,nil)),
% 16.51/2.59 inference(forward_demodulation,[status(thm)],[f423,f479])).
% 16.51/2.59 fof(f481,plain,(
% 16.51/2.59 sP0_prd(sK48_skl,sK47_skl,sK48_skl,sK47_skl)),
% 16.51/2.59 inference(forward_subsumption_resolution,[status(thm)],[f480,f477])).
% 16.51/2.59 fof(f482,plain,(
% 16.51/2.59 ![X0,X1,X2,X3]: (~sP0_prd(X0,X1,app(cons(X2,nil),X3),X3)|~ssList(app(cons(X2,nil),X3))|~ssList(cons(X2,nil))|~ssItem(X2)|~hd(app(cons(X2,nil),X3))=X2|~neq(nil,app(cons(X2,nil),X3)))),
% 16.51/2.59 inference(destructive_equality_resolution,[status(thm)],[f431])).
% 16.51/2.59 fof(f513,plain,(
% 16.51/2.59 ssItem(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl))),
% 16.51/2.59 inference(resolution,[status(thm)],[f432,f481])).
% 16.51/2.59 fof(f520,plain,(
% 16.51/2.59 app(cons(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl),nil),sK47_skl)=sK48_skl),
% 16.51/2.59 inference(resolution,[status(thm)],[f433,f481])).
% 16.51/2.59 fof(f528,plain,(
% 16.51/2.59 ![X0]: (~ssItem(X0)|ssList(cons(X0,nil)))),
% 16.51/2.59 inference(resolution,[status(thm)],[f222,f223])).
% 16.51/2.59 fof(f531,plain,(
% 16.51/2.59 ![X0,X1,X2,X3]: (~sP0_prd(X0,X1,app(cons(X2,nil),X3),X3)|~ssList(app(cons(X2,nil),X3))|~ssItem(X2)|~hd(app(cons(X2,nil),X3))=X2|~neq(nil,app(cons(X2,nil),X3)))),
% 16.51/2.59 inference(backward_subsumption_resolution,[status(thm)],[f482,f528])).
% 16.51/2.59 fof(f535,plain,(
% 16.51/2.59 ![X0]: (~ssItem(X0)|~nil=cons(X0,sK47_skl))),
% 16.51/2.59 inference(resolution,[status(thm)],[f235,f419])).
% 16.51/2.59 fof(f550,plain,(
% 16.51/2.59 ~nil=cons(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl),sK47_skl)),
% 16.51/2.59 inference(resolution,[status(thm)],[f535,f513])).
% 16.51/2.59 fof(f633,plain,(
% 16.51/2.59 ![X0]: (~ssItem(X0)|hd(cons(X0,sK47_skl))=X0)),
% 16.51/2.59 inference(resolution,[status(thm)],[f239,f419])).
% 16.51/2.59 fof(f971,plain,(
% 16.51/2.59 ![X0]: (~ssItem(X0)|cons(X0,sK47_skl)=app(cons(X0,nil),sK47_skl))),
% 16.51/2.59 inference(resolution,[status(thm)],[f380,f419])).
% 16.51/2.59 fof(f999,plain,(
% 16.51/2.59 cons(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl),sK47_skl)=app(cons(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl),nil),sK47_skl)),
% 16.51/2.59 inference(resolution,[status(thm)],[f971,f513])).
% 16.51/2.59 fof(f1003,plain,(
% 16.51/2.59 ~nil=sK48_skl),
% 16.51/2.59 inference(backward_demodulation,[status(thm)],[f1010,f550])).
% 16.51/2.59 fof(f1010,plain,(
% 16.51/2.59 cons(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl),sK47_skl)=sK48_skl),
% 16.51/2.59 inference(forward_demodulation,[status(thm)],[f520,f999])).
% 16.51/2.59 fof(f1282,plain,(
% 16.51/2.59 ![X0,X1]: (~sP0_prd(X0,X1,app(cons(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl),nil),sK47_skl),sK47_skl)|~ssList(sK48_skl)|~ssItem(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl))|~hd(app(cons(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl),nil),sK47_skl))=sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl)|~neq(nil,app(cons(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl),nil),sK47_skl)))),
% 16.51/2.59 inference(paramodulation,[status(thm)],[f520,f531])).
% 16.51/2.59 fof(f1284,plain,(
% 16.51/2.59 ![X0,X1]: (~sP0_prd(X0,X1,sK48_skl,sK47_skl)|~ssList(sK48_skl)|~ssItem(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl))|~hd(app(cons(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl),nil),sK47_skl))=sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl)|~neq(nil,app(cons(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl),nil),sK47_skl)))),
% 16.51/2.59 inference(forward_demodulation,[status(thm)],[f520,f1282])).
% 16.51/2.59 fof(f1285,plain,(
% 16.51/2.59 ![X0,X1]: (~sP0_prd(X0,X1,sK48_skl,sK47_skl)|~ssList(sK48_skl)|~ssItem(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl))|~hd(sK48_skl)=sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl)|~neq(nil,app(cons(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl),nil),sK47_skl)))),
% 16.51/2.59 inference(forward_demodulation,[status(thm)],[f520,f1284])).
% 16.51/2.59 fof(f1286,plain,(
% 16.51/2.59 ![X0,X1]: (~sP0_prd(X0,X1,sK48_skl,sK47_skl)|~ssList(sK48_skl)|~ssItem(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl))|~hd(sK48_skl)=sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl)|~neq(nil,sK48_skl))),
% 16.51/2.59 inference(forward_demodulation,[status(thm)],[f520,f1285])).
% 16.51/2.59 fof(f1287,plain,(
% 16.51/2.59 ![X0,X1]: (~sP0_prd(X0,X1,sK48_skl,sK47_skl)|~ssItem(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl))|~hd(sK48_skl)=sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl)|~neq(nil,sK48_skl))),
% 16.51/2.59 inference(forward_subsumption_resolution,[status(thm)],[f1286,f420])).
% 9.73/2.61 fof(f2523,plain,(
% 9.73/2.61 hd(cons(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl),sK47_skl))=sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl)),
% 9.73/2.61 inference(resolution,[status(thm)],[f633,f513])).
% 9.73/2.61 fof(f2543,plain,(
% 9.73/2.61 ssItem(hd(sK48_skl))),
% 9.73/2.61 inference(backward_demodulation,[status(thm)],[f2606,f513])).
% 9.73/2.61 fof(f2585,plain,(
% 9.73/2.61 ![X0,X1]: (~sP0_prd(X0,X1,sK48_skl,sK47_skl)|~ssItem(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl))|~hd(sK48_skl)=hd(sK48_skl)|~neq(nil,sK48_skl))),
% 9.73/2.61 inference(backward_demodulation,[status(thm)],[f2606,f1287])).
% 9.73/2.61 fof(f2606,plain,(
% 9.73/2.61 hd(sK48_skl)=sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl)),
% 9.73/2.61 inference(forward_demodulation,[status(thm)],[f1010,f2523])).
% 9.73/2.61 fof(f2638,plain,(
% 9.73/2.61 ![X0,X1]: (~sP0_prd(X0,X1,sK48_skl,sK47_skl)|~ssItem(hd(sK48_skl))|~hd(sK48_skl)=hd(sK48_skl)|~neq(nil,sK48_skl))),
% 9.73/2.61 inference(forward_demodulation,[status(thm)],[f2606,f2585])).
% 9.73/2.61 fof(f2639,plain,(
% 9.73/2.61 ![X0,X1]: (~sP0_prd(X0,X1,sK48_skl,sK47_skl)|~ssItem(hd(sK48_skl))|~neq(nil,sK48_skl))),
% 9.73/2.61 inference(trivial_equality_resolution,[status(thm)],[f2638])).
% 9.73/2.61 fof(f2640,plain,(
% 9.73/2.61 ![X0,X1]: (~sP0_prd(X0,X1,sK48_skl,sK47_skl)|~neq(nil,sK48_skl))),
% 9.73/2.61 inference(forward_subsumption_resolution,[status(thm)],[f2639,f2543])).
% 9.73/2.61 fof(f2681,plain,(
% 9.73/2.61 ![X0,X1]: (~sP0_prd(X0,X1,sK48_skl,sK47_skl)|~ssList(nil)|~ssList(sK48_skl)|nil=sK48_skl)),
% 9.73/2.61 inference(resolution,[status(thm)],[f2640,f220])).
% 9.73/2.61 fof(f2682,plain,(
% 9.73/2.61 ![X0,X1]: (~sP0_prd(X0,X1,sK48_skl,sK47_skl)|~ssList(sK48_skl)|nil=sK48_skl)),
% 9.73/2.61 inference(forward_subsumption_resolution,[status(thm)],[f2681,f223])).
% 9.73/2.61 fof(f2688,plain,(
% 9.73/2.61 ![X0,X1]: (~sP0_prd(X0,X1,sK48_skl,sK47_skl)|nil=sK48_skl)),
% 9.73/2.61 inference(resolution,[status(thm)],[f2682,f420])).
% 9.73/2.61 fof(f2690,plain,(
% 9.73/2.61 ![X0,X1]: (~sP0_prd(X0,X1,sK48_skl,sK47_skl))),
% 9.73/2.61 inference(forward_subsumption_resolution,[status(thm)],[f2688,f1003])).
% 9.73/2.61 fof(f2691,plain,(
% 9.73/2.61 $false),
% 9.73/2.61 inference(backward_subsumption_resolution,[status(thm)],[f481,f2690])).
% 9.73/2.61 % SZS output end CNFRefutation for theBenchmark.p
% 9.73/2.64 % Elapsed time: 2.258523 seconds
% 9.73/2.64 % CPU time: 17.536428 seconds
% 9.73/2.64 % Total memory used: 292.980 MB
% 9.73/2.64 % Net memory used: 279.816 MB
%------------------------------------------------------------------------------