%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC060+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 : n008.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 02:41:28 PM UTC 2026
% Result : Theorem 0.19s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC060+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n008.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 07:52:39 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.19/0.50 % Refutation found
% 0.19/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.50 fof(f4,axiom,(
% 0.19/0.50 (! [U] :( ssList(U)=> ( singletonP(U)<=> (? [V] :( ssItem(V)& cons(V,nil) = U ) )) ) )),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f5,axiom,(
% 0.19/0.50 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f6,axiom,(
% 0.19/0.50 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( rearsegP(U,V)<=> (? [W] :( ssList(W)& app(W,V) = U ) )) ) )) )),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f7,axiom,(
% 0.19/0.50 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f17,axiom,(
% 0.19/0.50 ssList(nil) ),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f42,axiom,(
% 0.19/0.50 (! [U] :( ssList(U)=> frontsegP(U,U) ) )),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f45,axiom,(
% 0.19/0.50 (! [U] :( ssList(U)=> frontsegP(U,nil) ) )),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f49,axiom,(
% 0.19/0.50 (! [U] :( ssList(U)=> rearsegP(U,U) ) )),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f51,axiom,(
% 0.19/0.50 (! [U] :( ssList(U)=> rearsegP(U,nil) ) )),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f53,axiom,(
% 0.19/0.50 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( segmentP(U,V)& segmentP(V,W) )=> segmentP(U,W) ) ) )) )) )),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f54,axiom,(
% 0.19/0.50 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( segmentP(U,V)& segmentP(V,U) )=> U = V ) ) )) )),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f55,axiom,(
% 0.19/0.50 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f58,axiom,(
% 0.19/0.50 (! [U] :( ssList(U)=> ( segmentP(nil,U)<=> nil = U ) ) )),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f96,conjecture,(
% 0.19/0.50 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ) )) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ segmentP(X,W) ) ) ) )) )) )) )),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f97,negated_conjecture,(
% 0.19/0.50 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ) )) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ segmentP(X,W) ) ) ) )) )) )) ))),
% 0.19/0.50 inference(negated_conjecture,[status(cth)],[f96])).
% 0.19/0.50 fof(f113,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|(singletonP(U)<=>(?[V]: (ssItem(V)&cons(V,nil)=U))))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.19/0.50 fof(f114,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|((~singletonP(U)|(?[V]: (ssItem(V)&cons(V,nil)=U)))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.19/0.50 inference(NNF_transformation,[status(thm)],[f113])).
% 0.19/0.50 fof(f115,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|((~singletonP(U)|(ssItem(sK4_skl(U))&cons(sK4_skl(U),nil)=U))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.19/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(V,sK4_skl(U))],[f114])).
% 0.19/0.50 fof(f116,plain,(
% 0.19/0.50 ![X0]: (~ssList(X0)|~singletonP(X0)|ssItem(sK4_skl(X0)))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f115])).
% 0.19/0.50 fof(f119,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.19/0.50 fof(f120,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(?[W]: (ssList(W)&app(V,W)=U)))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.19/0.50 inference(NNF_transformation,[status(thm)],[f119])).
% 0.19/0.50 fof(f121,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(ssList(sK5_skl(V,U))&app(V,sK5_skl(V,U))=U))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.19/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(W,sK5_skl(V,U))],[f120])).
% 0.19/0.50 fof(f122,plain,(
% 0.19/0.50 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|ssList(sK5_skl(X1,X0)))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f121])).
% 0.19/0.50 fof(f123,plain,(
% 0.19/0.50 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sK5_skl(X1,X0))=X0)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f121])).
% 0.19/0.50 fof(f125,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(rearsegP(U,V)<=>(?[W]: (ssList(W)&app(W,V)=U))))))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.19/0.50 fof(f126,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|(?[W]: (ssList(W)&app(W,V)=U)))&(rearsegP(U,V)|(![W]: (~ssList(W)|~app(W,V)=U)))))))),
% 0.19/0.50 inference(NNF_transformation,[status(thm)],[f125])).
% 0.19/0.50 fof(f127,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|(ssList(sK6_skl(V,U))&app(sK6_skl(V,U),V)=U))&(rearsegP(U,V)|(![W]: (~ssList(W)|~app(W,V)=U)))))))),
% 0.19/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(W,sK6_skl(V,U))],[f126])).
% 0.19/0.50 fof(f128,plain,(
% 0.19/0.50 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|ssList(sK6_skl(X1,X0)))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f127])).
% 0.19/0.50 fof(f129,plain,(
% 0.19/0.50 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|app(sK6_skl(X1,X0),X1)=X0)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f127])).
% 0.19/0.50 fof(f131,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.19/0.50 fof(f132,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U)))))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.19/0.50 inference(NNF_transformation,[status(thm)],[f131])).
% 0.19/0.50 fof(f133,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(ssList(sK7_skl(V,U))&(ssList(sK8_skl(V,U))&app(app(sK7_skl(V,U),V),sK8_skl(V,U))=U)))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.19/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132])).
% 0.19/0.50 fof(f134,plain,(
% 0.19/0.50 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|ssList(sK7_skl(X1,X0)))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f133])).
% 0.19/0.50 fof(f135,plain,(
% 0.19/0.50 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|ssList(sK8_skl(X1,X0)))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f133])).
% 0.19/0.50 fof(f223,plain,(
% 0.19/0.50 ssList(nil)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f17])).
% 0.19/0.50 fof(f285,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|frontsegP(U,U))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.19/0.50 fof(f286,plain,(
% 0.19/0.50 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f285])).
% 0.19/0.50 fof(f294,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|frontsegP(U,nil))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.19/0.50 fof(f295,plain,(
% 0.19/0.50 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f294])).
% 0.19/0.50 fof(f304,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|rearsegP(U,U))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.19/0.50 fof(f305,plain,(
% 0.19/0.50 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f304])).
% 0.19/0.50 fof(f308,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|rearsegP(U,nil))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(thm)],[f51])).
% 0.19/0.50 fof(f309,plain,(
% 0.19/0.50 ![X0]: (~ssList(X0)|rearsegP(X0,nil))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f308])).
% 0.19/0.50 fof(f314,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~segmentP(U,V)|~segmentP(V,W))|segmentP(U,W)))))))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.19/0.50 fof(f315,plain,(
% 0.19/0.50 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~segmentP(X0,X1)|~segmentP(X1,X2)|segmentP(X0,X2))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f314])).
% 0.19/0.50 fof(f316,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|~segmentP(V,U))|U=V))))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.19/0.50 fof(f317,plain,(
% 0.19/0.50 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|~segmentP(X1,X0)|X0=X1)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f316])).
% 0.19/0.50 fof(f318,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(thm)],[f55])).
% 0.19/0.50 fof(f319,plain,(
% 0.19/0.50 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f318])).
% 0.19/0.50 fof(f324,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|(segmentP(nil,U)<=>nil=U))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 0.19/0.50 fof(f325,plain,(
% 0.19/0.50 ![U]: (~ssList(U)|((~segmentP(nil,U)|nil=U)&(segmentP(nil,U)|~nil=U)))),
% 0.19/0.50 inference(NNF_transformation,[status(thm)],[f324])).
% 0.19/0.50 fof(f326,plain,(
% 0.19/0.50 ![X0]: (~ssList(X0)|~segmentP(nil,X0)|nil=X0)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f325])).
% 0.19/0.50 fof(f415,plain,(
% 0.19/0.50 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&((nil=V&~nil=U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))))&((nil=X&nil=W)|(neq(W,nil)&segmentP(X,W)))))))))))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.19/0.50 fof(f416,definition,(
% 0.19/0.50 ![U,V]: (sP0_prd(V,U)<=>(nil=V&~nil=U))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.19/0.50 fof(f417,definition,(
% 0.19/0.50 ![W,X]: (sP1_prd(X,W)<=>(nil=X&nil=W))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.19/0.50 fof(f418,plain,(
% 0.19/0.50 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&(sP0_prd(V,U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))))&(sP1_prd(X,W)|(neq(W,nil)&segmentP(X,W))))))))))),
% 0.19/0.50 inference(formula_renaming,[status(thm)],[f415,f417,f416])).
% 0.19/0.50 fof(f419,plain,(
% 0.19/0.50 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&((((ssList(sK50_skl)&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&(sP0_prd(sK48_skl,sK47_skl)|(neq(sK48_skl,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sK48_skl,Y))|~segmentP(sK47_skl,Y))))))&(sP1_prd(sK50_skl,sK49_skl)|(neq(sK49_skl,nil)&segmentP(sK50_skl,sK49_skl)))))))),
% 0.19/0.50 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)],[f418])).
% 0.19/0.50 fof(f422,plain,(
% 0.19/0.50 ssList(sK49_skl)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f419])).
% 0.19/0.50 fof(f423,plain,(
% 0.19/0.50 ssList(sK50_skl)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f419])).
% 0.19/0.50 fof(f424,plain,(
% 0.19/0.50 sK48_skl=sK50_skl),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f419])).
% 0.19/0.50 fof(f425,plain,(
% 0.19/0.50 sK47_skl=sK49_skl),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f419])).
% 0.19/0.50 fof(f426,plain,(
% 0.19/0.50 sP0_prd(sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f419])).
% 0.19/0.50 fof(f427,plain,(
% 0.19/0.50 ![X0]: (sP0_prd(sK48_skl,sK47_skl)|~ssList(X0)|~neq(X0,nil)|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f419])).
% 0.19/0.50 fof(f428,plain,(
% 0.19/0.50 sP1_prd(sK50_skl,sK49_skl)|neq(sK49_skl,nil)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f419])).
% 0.19/0.50 fof(f429,plain,(
% 0.19/0.50 sP1_prd(sK50_skl,sK49_skl)|segmentP(sK50_skl,sK49_skl)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f419])).
% 0.19/0.50 fof(f430,plain,(
% 0.19/0.50 ![U,V]: ((~sP0_prd(V,U)|(nil=V&~nil=U))&(sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.19/0.50 inference(NNF_transformation,[status(thm)],[f416])).
% 0.19/0.50 fof(f431,plain,(
% 0.19/0.50 (![U,V]: (~sP0_prd(V,U)|(nil=V&~nil=U)))&(![U,V]: (sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.19/0.50 inference(miniscoping,[status(thm)],[f430])).
% 0.19/0.50 fof(f432,plain,(
% 0.19/0.50 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f431])).
% 0.19/0.50 fof(f433,plain,(
% 0.19/0.50 ![X0,X1]: (~sP0_prd(X0,X1)|~nil=X1)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f431])).
% 0.19/0.50 fof(f435,plain,(
% 0.19/0.50 ![W,X]: ((~sP1_prd(X,W)|(nil=X&nil=W))&(sP1_prd(X,W)|(~nil=X|~nil=W)))),
% 0.19/0.50 inference(NNF_transformation,[status(thm)],[f417])).
% 0.19/0.50 fof(f436,plain,(
% 0.19/0.50 (![W,X]: (~sP1_prd(X,W)|(nil=X&nil=W)))&(![W,X]: (sP1_prd(X,W)|(~nil=X|~nil=W)))),
% 0.19/0.50 inference(miniscoping,[status(thm)],[f435])).
% 0.19/0.50 fof(f437,plain,(
% 0.19/0.50 ![X0,X1]: (~sP1_prd(X0,X1)|nil=X0)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f436])).
% 0.19/0.50 fof(f438,plain,(
% 0.19/0.50 ![X0,X1]: (~sP1_prd(X0,X1)|nil=X1)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f436])).
% 0.19/0.50 fof(f440,definition,(
% 0.19/0.50 sQ0_spl <=> (sP0_prd(sK48_skl,sK47_skl))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f441,plain,(
% 0.19/0.50 sP0_prd(sK48_skl,sK47_skl)|~sQ0_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f440])).
% 0.19/0.50 fof(f443,definition,(
% 0.19/0.50 sQ1_spl <=> (neq(sK48_skl,nil))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f444,plain,(
% 0.19/0.50 neq(sK48_skl,nil)|~sQ1_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f443])).
% 0.19/0.50 fof(f446,plain,(
% 0.19/0.50 sQ0_spl|sQ1_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f426,f440,f443])).
% 0.19/0.50 fof(f447,definition,(
% 0.19/0.50 ![X0]: (sQ2_spl <=> (~ssList(X0)|~neq(X0,nil)|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f448,plain,(
% 0.19/0.50 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0)|~sQ2_spl)),
% 0.19/0.50 inference(component_clause,[status(thm)],[f447])).
% 0.19/0.50 fof(f450,plain,(
% 0.19/0.50 sQ0_spl|sQ2_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f427,f440,f447])).
% 0.19/0.50 fof(f451,definition,(
% 0.19/0.50 sQ3_spl <=> (sP1_prd(sK50_skl,sK49_skl))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f452,plain,(
% 0.19/0.50 sP1_prd(sK50_skl,sK49_skl)|~sQ3_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f451])).
% 0.19/0.50 fof(f454,definition,(
% 0.19/0.50 sQ4_spl <=> (neq(sK49_skl,nil))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f455,plain,(
% 0.19/0.50 neq(sK49_skl,nil)|~sQ4_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f454])).
% 0.19/0.50 fof(f457,plain,(
% 0.19/0.50 sQ3_spl|sQ4_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f428,f451,f454])).
% 0.19/0.50 fof(f458,definition,(
% 0.19/0.50 sQ5_spl <=> (segmentP(sK50_skl,sK49_skl))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f459,plain,(
% 0.19/0.50 segmentP(sK50_skl,sK49_skl)|~sQ5_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f458])).
% 0.19/0.50 fof(f461,plain,(
% 0.19/0.50 sQ3_spl|sQ5_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f429,f451,f458])).
% 0.19/0.50 fof(f492,plain,(
% 0.19/0.50 ![X0]: (~sP0_prd(X0,nil))),
% 0.19/0.50 inference(destructive_equality_resolution,[status(thm)],[f433])).
% 0.19/0.50 fof(f497,plain,(
% 0.19/0.50 sP0_prd(sK50_skl,sK47_skl)|~sQ0_spl),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f424,f441])).
% 0.19/0.50 fof(f498,plain,(
% 0.19/0.50 sP0_prd(sK50_skl,sK49_skl)|~sQ0_spl),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f425,f497])).
% 0.19/0.50 fof(f499,plain,(
% 0.19/0.50 segmentP(nil,nil)),
% 0.19/0.50 inference(resolution,[status(thm)],[f319,f223])).
% 0.19/0.50 fof(f500,plain,(
% 0.19/0.50 segmentP(sK50_skl,sK50_skl)),
% 0.19/0.50 inference(resolution,[status(thm)],[f319,f423])).
% 0.19/0.50 fof(f501,plain,(
% 0.19/0.50 segmentP(sK49_skl,sK49_skl)),
% 0.19/0.50 inference(resolution,[status(thm)],[f319,f422])).
% 0.19/0.50 fof(f506,plain,(
% 0.19/0.50 nil=sK50_skl|~sQ0_spl),
% 0.19/0.50 inference(resolution,[status(thm)],[f432,f498])).
% 0.19/0.50 fof(f518,plain,(
% 0.19/0.50 ![X0]: (~sP0_prd(X0,sK50_skl)|~sQ0_spl)),
% 0.19/0.50 inference(backward_demodulation,[status(thm)],[f506,f492])).
% 0.19/0.50 fof(f528,plain,(
% 0.19/0.50 ![X0,X1]: (~sP1_prd(X0,X1)|sK50_skl=X1|~sQ0_spl)),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f506,f438])).
% 0.19/0.50 fof(f530,plain,(
% 0.19/0.50 sK50_skl=sK49_skl|~sQ0_spl|~sQ3_spl),
% 0.19/0.50 inference(resolution,[status(thm)],[f528,f452])).
% 0.19/0.50 fof(f532,plain,(
% 0.19/0.50 sP0_prd(sK50_skl,sK50_skl)|~sQ3_spl|~sQ0_spl),
% 0.19/0.50 inference(backward_demodulation,[status(thm)],[f530,f498])).
% 0.19/0.50 fof(f537,plain,(
% 0.19/0.50 $false|~sQ3_spl|~sQ0_spl),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f532,f518])).
% 0.19/0.50 fof(f538,plain,(
% 0.19/0.50 ~sQ3_spl|~sQ0_spl),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f537])).
% 0.19/0.50 fof(f541,plain,(
% 0.19/0.50 ![X0]: (~ssList(X0)|~ssList(sK50_skl)|~ssList(sK50_skl)|~segmentP(X0,sK50_skl)|segmentP(X0,sK50_skl))),
% 0.19/0.50 inference(resolution,[status(thm)],[f315,f500])).
% 0.19/0.50 fof(f544,definition,(
% 0.19/0.50 ![X0]: (sQ6_spl <=> (~ssList(X0)|~segmentP(X0,sK50_skl)|segmentP(X0,sK50_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f547,definition,(
% 0.19/0.50 sQ7_spl <=> (ssList(sK50_skl))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f549,plain,(
% 0.19/0.50 ~ssList(sK50_skl)|sQ7_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f547])).
% 0.19/0.50 fof(f550,plain,(
% 0.19/0.50 sQ6_spl|~sQ7_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f541,f544,f547])).
% 0.19/0.50 fof(f553,plain,(
% 0.19/0.50 neq(sK50_skl,nil)|~sQ1_spl),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f424,f444])).
% 0.19/0.50 fof(f554,plain,(
% 0.19/0.50 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK50_skl,X0)|~segmentP(sK47_skl,X0)|~sQ2_spl)),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f424,f448])).
% 0.19/0.50 fof(f560,plain,(
% 0.19/0.50 ![X0]: (~ssList(X0)|~ssList(sK49_skl)|~ssList(sK49_skl)|~segmentP(X0,sK49_skl)|segmentP(X0,sK49_skl))),
% 0.19/0.50 inference(resolution,[status(thm)],[f501,f315])).
% 0.19/0.50 fof(f561,definition,(
% 0.19/0.50 ![X0]: (sQ8_spl <=> (~ssList(X0)|~segmentP(X0,sK49_skl)|segmentP(X0,sK49_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f564,definition,(
% 0.19/0.50 sQ9_spl <=> (ssList(sK49_skl))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f566,plain,(
% 0.19/0.50 ~ssList(sK49_skl)|sQ9_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f564])).
% 0.19/0.50 fof(f567,plain,(
% 0.19/0.50 sQ8_spl|~sQ9_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f560,f561,f564])).
% 0.19/0.50 fof(f608,plain,(
% 0.19/0.50 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK50_skl,X0)|~segmentP(sK49_skl,X0)|~sQ2_spl)),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f425,f554])).
% 0.19/0.50 fof(f609,plain,(
% 0.19/0.50 ~ssList(sK50_skl)|~segmentP(sK50_skl,sK50_skl)|~segmentP(sK49_skl,sK50_skl)|~sQ2_spl|~sQ1_spl),
% 0.19/0.50 inference(resolution,[status(thm)],[f608,f553])).
% 0.19/0.50 fof(f610,definition,(
% 0.19/0.50 sQ19_spl <=> (segmentP(sK50_skl,sK50_skl))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f612,plain,(
% 0.19/0.50 ~segmentP(sK50_skl,sK50_skl)|sQ19_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f610])).
% 0.19/0.50 fof(f613,definition,(
% 0.19/0.50 sQ20_spl <=> (segmentP(sK49_skl,sK50_skl))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f615,plain,(
% 0.19/0.50 ~segmentP(sK49_skl,sK50_skl)|sQ20_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f613])).
% 0.19/0.50 fof(f616,plain,(
% 0.19/0.50 ~sQ7_spl|~sQ19_spl|~sQ20_spl|~sQ2_spl|~sQ1_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f609,f547,f610,f613,f447,f443])).
% 0.19/0.50 fof(f617,plain,(
% 0.19/0.50 $false|sQ7_spl),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f549,f423])).
% 0.19/0.50 fof(f618,plain,(
% 0.19/0.50 sQ7_spl),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f617])).
% 0.19/0.50 fof(f619,plain,(
% 0.19/0.50 $false|sQ19_spl),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f612,f500])).
% 0.19/0.50 fof(f620,plain,(
% 0.19/0.50 sQ19_spl),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f619])).
% 0.19/0.50 fof(f621,plain,(
% 0.19/0.50 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(nil)|~segmentP(X0,nil)|segmentP(X0,nil))),
% 0.19/0.50 inference(resolution,[status(thm)],[f499,f315])).
% 0.19/0.50 fof(f622,definition,(
% 0.19/0.50 ![X0]: (sQ21_spl <=> (~ssList(X0)|~segmentP(X0,nil)|segmentP(X0,nil)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f625,definition,(
% 0.19/0.50 sQ22_spl <=> (ssList(nil))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f627,plain,(
% 0.19/0.50 ~ssList(nil)|sQ22_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f625])).
% 0.19/0.50 fof(f628,plain,(
% 0.19/0.50 sQ21_spl|~sQ22_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f621,f622,f625])).
% 0.19/0.50 fof(f629,plain,(
% 0.19/0.50 ![X0]: (~ssList(sK49_skl)|~ssList(X0)|~ssList(sK50_skl)|~segmentP(sK49_skl,X0)|~segmentP(X0,sK50_skl)|sQ20_spl)),
% 0.19/0.50 inference(resolution,[status(thm)],[f615,f315])).
% 0.19/0.50 fof(f630,definition,(
% 0.19/0.50 ![X0]: (sQ23_spl <=> (~ssList(X0)|~segmentP(sK49_skl,X0)|~segmentP(X0,sK50_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f633,plain,(
% 0.19/0.50 ~sQ9_spl|sQ23_spl|~sQ7_spl|sQ20_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f629,f564,f630,f547,f613])).
% 0.19/0.50 fof(f634,plain,(
% 0.19/0.50 $false|sQ9_spl),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f566,f422])).
% 0.19/0.50 fof(f635,plain,(
% 0.19/0.50 sQ9_spl),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f634])).
% 0.19/0.50 fof(f637,plain,(
% 0.19/0.50 nil=sK49_skl|~sQ3_spl),
% 0.19/0.50 inference(resolution,[status(thm)],[f438,f452])).
% 0.19/0.50 fof(f656,plain,(
% 0.19/0.50 ~ssList(sK49_skl)|~ssList(sK49_skl)|~segmentP(sK49_skl,sK49_skl)|sK49_skl=sK49_skl),
% 0.19/0.50 inference(resolution,[status(thm)],[f317,f501])).
% 0.19/0.50 fof(f657,plain,(
% 0.19/0.50 ~ssList(sK50_skl)|~ssList(sK50_skl)|~segmentP(sK50_skl,sK50_skl)|sK50_skl=sK50_skl),
% 0.19/0.50 inference(resolution,[status(thm)],[f317,f500])).
% 0.19/0.50 fof(f659,definition,(
% 0.19/0.50 sQ24_spl <=> (segmentP(sK49_skl,sK49_skl))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f661,plain,(
% 0.19/0.50 ~segmentP(sK49_skl,sK49_skl)|sQ24_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f659])).
% 0.19/0.50 fof(f662,definition,(
% 0.19/0.50 sQ25_spl <=> (sK49_skl=sK49_skl)),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f665,plain,(
% 0.19/0.50 ~sQ9_spl|~sQ24_spl|sQ25_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f656,f564,f659,f662])).
% 0.19/0.50 fof(f666,definition,(
% 0.19/0.50 sQ26_spl <=> (sK50_skl=sK50_skl)),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f669,plain,(
% 0.19/0.50 ~sQ7_spl|~sQ19_spl|sQ26_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f657,f547,f610,f666])).
% 0.19/0.50 fof(f671,plain,(
% 0.19/0.50 $false|sQ24_spl),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f661,f501])).
% 0.19/0.50 fof(f672,plain,(
% 0.19/0.50 sQ24_spl),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f671])).
% 0.19/0.50 fof(f675,plain,(
% 0.19/0.50 frontsegP(sK49_skl,sK49_skl)),
% 0.19/0.50 inference(resolution,[status(thm)],[f286,f422])).
% 0.19/0.50 fof(f676,plain,(
% 0.19/0.50 frontsegP(sK50_skl,sK50_skl)),
% 0.19/0.50 inference(resolution,[status(thm)],[f286,f423])).
% 0.19/0.50 fof(f677,plain,(
% 0.19/0.50 rearsegP(sK49_skl,sK49_skl)),
% 0.19/0.50 inference(resolution,[status(thm)],[f305,f422])).
% 0.19/0.50 fof(f678,plain,(
% 0.19/0.50 rearsegP(sK50_skl,sK50_skl)),
% 0.19/0.50 inference(resolution,[status(thm)],[f305,f423])).
% 0.19/0.50 fof(f683,plain,(
% 0.19/0.50 ~ssList(sK50_skl)|~ssList(sK50_skl)|ssList(sK5_skl(sK50_skl,sK50_skl))),
% 0.19/0.50 inference(resolution,[status(thm)],[f122,f676])).
% 0.19/0.50 fof(f684,plain,(
% 0.19/0.50 ~ssList(sK49_skl)|~ssList(sK49_skl)|ssList(sK5_skl(sK49_skl,sK49_skl))),
% 0.19/0.50 inference(resolution,[status(thm)],[f122,f675])).
% 0.19/0.50 fof(f685,definition,(
% 0.19/0.50 sQ27_spl <=> (ssList(sK5_skl(sK50_skl,sK50_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f686,plain,(
% 0.19/0.50 ssList(sK5_skl(sK50_skl,sK50_skl))|~sQ27_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f685])).
% 0.19/0.50 fof(f688,plain,(
% 0.19/0.50 ~sQ7_spl|sQ27_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f683,f547,f685])).
% 0.19/0.50 fof(f689,definition,(
% 0.19/0.50 sQ28_spl <=> (ssList(sK5_skl(sK49_skl,sK49_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f690,plain,(
% 0.19/0.50 ssList(sK5_skl(sK49_skl,sK49_skl))|~sQ28_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f689])).
% 0.19/0.50 fof(f692,plain,(
% 0.19/0.50 ~sQ9_spl|sQ28_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f684,f564,f689])).
% 0.19/0.50 fof(f693,plain,(
% 0.19/0.50 ~ssList(sK50_skl)|~ssList(sK50_skl)|app(sK50_skl,sK5_skl(sK50_skl,sK50_skl))=sK50_skl),
% 0.19/0.50 inference(resolution,[status(thm)],[f123,f676])).
% 0.19/0.50 fof(f694,plain,(
% 0.19/0.50 ~ssList(sK49_skl)|~ssList(sK49_skl)|app(sK49_skl,sK5_skl(sK49_skl,sK49_skl))=sK49_skl),
% 0.19/0.50 inference(resolution,[status(thm)],[f123,f675])).
% 0.19/0.50 fof(f695,definition,(
% 0.19/0.50 sQ29_spl <=> (app(sK50_skl,sK5_skl(sK50_skl,sK50_skl))=sK50_skl)),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f698,plain,(
% 0.19/0.50 ~sQ7_spl|sQ29_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f693,f547,f695])).
% 0.19/0.50 fof(f699,definition,(
% 0.19/0.50 sQ30_spl <=> (app(sK49_skl,sK5_skl(sK49_skl,sK49_skl))=sK49_skl)),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f702,plain,(
% 0.19/0.50 ~sQ9_spl|sQ30_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f694,f564,f699])).
% 0.19/0.50 fof(f703,plain,(
% 0.19/0.50 ![X0,X1]: (~sP1_prd(X0,X1)|sK49_skl=X0|~sQ3_spl)),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f637,f437])).
% 0.19/0.50 fof(f705,plain,(
% 0.19/0.50 sK49_skl=sK50_skl|~sQ3_spl),
% 0.19/0.50 inference(resolution,[status(thm)],[f703,f452])).
% 0.19/0.50 fof(f721,plain,(
% 0.19/0.50 ~segmentP(sK50_skl,sK50_skl)|~sQ3_spl|sQ20_spl),
% 0.19/0.50 inference(backward_demodulation,[status(thm)],[f705,f615])).
% 0.19/0.50 fof(f731,plain,(
% 0.19/0.50 ~sQ19_spl|~sQ3_spl|sQ20_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f721,f610,f451,f613])).
% 0.19/0.50 fof(f747,plain,(
% 0.19/0.50 ![X0]: (~ssList(X0)|~segmentP(sK50_skl,X0)|nil=X0|~sQ0_spl)),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f506,f326])).
% 0.19/0.50 fof(f748,plain,(
% 0.19/0.50 ![X0]: (~ssList(X0)|~segmentP(sK50_skl,X0)|sK50_skl=X0|~sQ0_spl)),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f506,f747])).
% 0.19/0.50 fof(f767,plain,(
% 0.19/0.50 ~ssList(sK49_skl)|sK50_skl=sK49_skl|~sQ5_spl|~sQ0_spl),
% 0.19/0.50 inference(resolution,[status(thm)],[f459,f748])).
% 0.19/0.50 fof(f770,definition,(
% 0.19/0.50 sQ32_spl <=> (sK50_skl=sK49_skl)),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f771,plain,(
% 0.19/0.50 sK50_skl=sK49_skl|~sQ32_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f770])).
% 0.19/0.50 fof(f773,plain,(
% 0.19/0.50 ~sQ9_spl|sQ32_spl|~sQ5_spl|~sQ0_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f767,f564,f770,f458,f440])).
% 0.19/0.50 fof(f779,plain,(
% 0.19/0.50 ~ssList(sK50_skl)|~ssList(sK50_skl)|ssList(sK6_skl(sK50_skl,sK50_skl))),
% 0.19/0.50 inference(resolution,[status(thm)],[f128,f678])).
% 0.19/0.50 fof(f780,definition,(
% 0.19/0.50 sQ34_spl <=> (ssList(sK6_skl(sK50_skl,sK50_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f783,plain,(
% 0.19/0.50 ~sQ7_spl|sQ34_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f779,f547,f780])).
% 0.19/0.50 fof(f784,plain,(
% 0.19/0.50 ~ssList(sK50_skl)|~ssList(sK50_skl)|app(sK6_skl(sK50_skl,sK50_skl),sK50_skl)=sK50_skl),
% 0.19/0.50 inference(resolution,[status(thm)],[f129,f678])).
% 0.19/0.50 fof(f785,definition,(
% 0.19/0.50 sQ35_spl <=> (app(sK6_skl(sK50_skl,sK50_skl),sK50_skl)=sK50_skl)),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f788,plain,(
% 0.19/0.50 ~sQ7_spl|sQ35_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f784,f547,f785])).
% 0.19/0.50 fof(f789,plain,(
% 0.19/0.50 ~ssList(sK49_skl)|~ssList(sK49_skl)|app(sK6_skl(sK49_skl,sK49_skl),sK49_skl)=sK49_skl),
% 0.19/0.50 inference(resolution,[status(thm)],[f677,f129])).
% 0.19/0.50 fof(f790,plain,(
% 0.19/0.50 ~ssList(sK49_skl)|~ssList(sK49_skl)|ssList(sK6_skl(sK49_skl,sK49_skl))),
% 0.19/0.50 inference(resolution,[status(thm)],[f677,f128])).
% 0.19/0.50 fof(f791,definition,(
% 0.19/0.50 sQ36_spl <=> (app(sK6_skl(sK49_skl,sK49_skl),sK49_skl)=sK49_skl)),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f794,plain,(
% 0.19/0.50 ~sQ9_spl|sQ36_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f789,f564,f791])).
% 0.19/0.50 fof(f795,definition,(
% 0.19/0.50 sQ37_spl <=> (ssList(sK6_skl(sK49_skl,sK49_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f798,plain,(
% 0.19/0.50 ~sQ9_spl|sQ37_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f790,f564,f795])).
% 0.19/0.50 fof(f807,plain,(
% 0.19/0.50 rearsegP(nil,nil)),
% 0.19/0.50 inference(resolution,[status(thm)],[f223,f305])).
% 0.19/0.50 fof(f808,plain,(
% 0.19/0.50 frontsegP(nil,nil)),
% 0.19/0.50 inference(resolution,[status(thm)],[f223,f286])).
% 0.19/0.50 fof(f814,plain,(
% 0.19/0.50 ~ssList(nil)|~ssList(nil)|~segmentP(nil,nil)|nil=nil),
% 0.19/0.50 inference(resolution,[status(thm)],[f499,f317])).
% 0.19/0.50 fof(f816,definition,(
% 0.19/0.50 sQ38_spl <=> (segmentP(nil,nil))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f818,plain,(
% 0.19/0.50 ~segmentP(nil,nil)|sQ38_spl),
% 0.19/0.50 inference(component_clause,[status(thm)],[f816])).
% 0.19/0.50 fof(f819,definition,(
% 0.19/0.50 sQ39_spl <=> (nil=nil)),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f822,plain,(
% 0.19/0.50 ~sQ22_spl|~sQ38_spl|sQ39_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f814,f625,f816,f819])).
% 0.19/0.50 fof(f824,plain,(
% 0.19/0.50 $false|sQ22_spl),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f627,f223])).
% 0.19/0.50 fof(f825,plain,(
% 0.19/0.50 sQ22_spl),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f824])).
% 0.19/0.50 fof(f826,plain,(
% 0.19/0.50 $false|sQ38_spl),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f818,f499])).
% 0.19/0.50 fof(f827,plain,(
% 0.19/0.50 sQ38_spl),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f826])).
% 0.19/0.50 fof(f831,plain,(
% 0.19/0.50 ~ssList(nil)|~ssList(nil)|app(sK6_skl(nil,nil),nil)=nil),
% 0.19/0.50 inference(resolution,[status(thm)],[f807,f129])).
% 0.19/0.50 fof(f832,plain,(
% 0.19/0.50 ~ssList(nil)|~ssList(nil)|ssList(sK6_skl(nil,nil))),
% 0.19/0.50 inference(resolution,[status(thm)],[f807,f128])).
% 0.19/0.50 fof(f833,definition,(
% 0.19/0.50 sQ40_spl <=> (app(sK6_skl(nil,nil),nil)=nil)),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f836,plain,(
% 0.19/0.50 ~sQ22_spl|sQ40_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f831,f625,f833])).
% 0.19/0.50 fof(f837,definition,(
% 0.19/0.50 sQ41_spl <=> (ssList(sK6_skl(nil,nil)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f840,plain,(
% 0.19/0.50 ~sQ22_spl|sQ41_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f832,f625,f837])).
% 0.19/0.50 fof(f841,plain,(
% 0.19/0.50 ~ssList(nil)|~ssList(nil)|app(nil,sK5_skl(nil,nil))=nil),
% 0.19/0.50 inference(resolution,[status(thm)],[f808,f123])).
% 0.19/0.50 fof(f842,plain,(
% 0.19/0.50 ~ssList(nil)|~ssList(nil)|ssList(sK5_skl(nil,nil))),
% 0.19/0.50 inference(resolution,[status(thm)],[f808,f122])).
% 0.19/0.50 fof(f843,definition,(
% 0.19/0.50 sQ42_spl <=> (app(nil,sK5_skl(nil,nil))=nil)),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f846,plain,(
% 0.19/0.50 ~sQ22_spl|sQ42_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f841,f625,f843])).
% 0.19/0.50 fof(f847,definition,(
% 0.19/0.50 sQ43_spl <=> (ssList(sK5_skl(nil,nil)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f850,plain,(
% 0.19/0.50 ~sQ22_spl|sQ43_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f842,f625,f847])).
% 0.19/0.50 fof(f853,plain,(
% 0.19/0.50 frontsegP(sK49_skl,nil)),
% 0.19/0.50 inference(resolution,[status(thm)],[f295,f422])).
% 0.19/0.50 fof(f854,plain,(
% 0.19/0.50 frontsegP(sK50_skl,nil)),
% 0.19/0.50 inference(resolution,[status(thm)],[f295,f423])).
% 0.19/0.50 fof(f855,plain,(
% 0.19/0.50 ~ssList(sK49_skl)|~ssList(nil)|app(nil,sK5_skl(nil,sK49_skl))=sK49_skl),
% 0.19/0.50 inference(resolution,[status(thm)],[f853,f123])).
% 0.19/0.50 fof(f856,plain,(
% 0.19/0.50 ~ssList(sK49_skl)|~ssList(nil)|ssList(sK5_skl(nil,sK49_skl))),
% 0.19/0.50 inference(resolution,[status(thm)],[f853,f122])).
% 0.19/0.50 fof(f857,definition,(
% 0.19/0.50 sQ44_spl <=> (app(nil,sK5_skl(nil,sK49_skl))=sK49_skl)),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f860,plain,(
% 0.19/0.50 ~sQ9_spl|~sQ22_spl|sQ44_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f855,f564,f625,f857])).
% 0.19/0.50 fof(f861,definition,(
% 0.19/0.50 sQ45_spl <=> (ssList(sK5_skl(nil,sK49_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f864,plain,(
% 0.19/0.50 ~sQ9_spl|~sQ22_spl|sQ45_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f856,f564,f625,f861])).
% 0.19/0.50 fof(f865,plain,(
% 0.19/0.50 ~ssList(sK50_skl)|~ssList(nil)|app(nil,sK5_skl(nil,sK50_skl))=sK50_skl),
% 0.19/0.50 inference(resolution,[status(thm)],[f854,f123])).
% 0.19/0.50 fof(f866,plain,(
% 0.19/0.50 ~ssList(sK50_skl)|~ssList(nil)|ssList(sK5_skl(nil,sK50_skl))),
% 0.19/0.50 inference(resolution,[status(thm)],[f854,f122])).
% 0.19/0.50 fof(f867,definition,(
% 0.19/0.50 sQ46_spl <=> (app(nil,sK5_skl(nil,sK50_skl))=sK50_skl)),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f870,plain,(
% 0.19/0.50 ~sQ7_spl|~sQ22_spl|sQ46_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f865,f547,f625,f867])).
% 0.19/0.50 fof(f871,definition,(
% 0.19/0.50 sQ47_spl <=> (ssList(sK5_skl(nil,sK50_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f874,plain,(
% 0.19/0.50 ~sQ7_spl|~sQ22_spl|sQ47_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f866,f547,f625,f871])).
% 0.19/0.50 fof(f876,plain,(
% 0.19/0.50 rearsegP(sK49_skl,nil)),
% 0.19/0.50 inference(resolution,[status(thm)],[f309,f422])).
% 0.19/0.50 fof(f877,plain,(
% 0.19/0.50 rearsegP(sK50_skl,nil)),
% 0.19/0.50 inference(resolution,[status(thm)],[f309,f423])).
% 0.19/0.50 fof(f878,plain,(
% 0.19/0.50 ~ssList(nil)|~ssList(nil)|ssList(sK7_skl(nil,nil))),
% 0.19/0.50 inference(resolution,[status(thm)],[f134,f499])).
% 0.19/0.50 fof(f879,plain,(
% 0.19/0.50 ~ssList(sK49_skl)|~ssList(sK49_skl)|ssList(sK7_skl(sK49_skl,sK49_skl))),
% 0.19/0.50 inference(resolution,[status(thm)],[f134,f501])).
% 0.19/0.50 fof(f881,plain,(
% 0.19/0.50 ~ssList(sK50_skl)|~ssList(sK50_skl)|ssList(sK7_skl(sK50_skl,sK50_skl))),
% 0.19/0.50 inference(resolution,[status(thm)],[f134,f500])).
% 0.19/0.50 fof(f883,definition,(
% 0.19/0.50 sQ48_spl <=> (ssList(sK7_skl(nil,nil)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f886,plain,(
% 0.19/0.50 ~sQ22_spl|sQ48_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f878,f625,f883])).
% 0.19/0.50 fof(f887,definition,(
% 0.19/0.50 sQ49_spl <=> (ssList(sK7_skl(sK49_skl,sK49_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f890,plain,(
% 0.19/0.50 ~sQ9_spl|sQ49_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f879,f564,f887])).
% 0.19/0.50 fof(f895,definition,(
% 0.19/0.50 sQ51_spl <=> (ssList(sK7_skl(sK50_skl,sK50_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f898,plain,(
% 0.19/0.50 ~sQ7_spl|sQ51_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f881,f547,f895])).
% 0.19/0.50 fof(f900,plain,(
% 0.19/0.50 ~ssList(nil)|~ssList(nil)|ssList(sK8_skl(nil,nil))),
% 0.19/0.50 inference(resolution,[status(thm)],[f135,f499])).
% 0.19/0.50 fof(f901,plain,(
% 0.19/0.50 ~ssList(sK49_skl)|~ssList(sK49_skl)|ssList(sK8_skl(sK49_skl,sK49_skl))),
% 0.19/0.50 inference(resolution,[status(thm)],[f135,f501])).
% 0.19/0.50 fof(f903,plain,(
% 0.19/0.50 ~ssList(sK50_skl)|~ssList(sK50_skl)|ssList(sK8_skl(sK50_skl,sK50_skl))),
% 0.19/0.50 inference(resolution,[status(thm)],[f135,f500])).
% 0.19/0.50 fof(f905,definition,(
% 0.19/0.50 sQ52_spl <=> (ssList(sK8_skl(nil,nil)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f908,plain,(
% 0.19/0.50 ~sQ22_spl|sQ52_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f900,f625,f905])).
% 0.19/0.50 fof(f909,definition,(
% 0.19/0.50 sQ53_spl <=> (ssList(sK8_skl(sK49_skl,sK49_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f912,plain,(
% 0.19/0.50 ~sQ9_spl|sQ53_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f901,f564,f909])).
% 0.19/0.50 fof(f917,definition,(
% 0.19/0.50 sQ55_spl <=> (ssList(sK8_skl(sK50_skl,sK50_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f920,plain,(
% 0.19/0.50 ~sQ7_spl|sQ55_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f903,f547,f917])).
% 0.19/0.50 fof(f922,plain,(
% 0.19/0.50 ~ssList(sK49_skl)|~ssList(nil)|app(sK6_skl(nil,sK49_skl),nil)=sK49_skl),
% 0.19/0.50 inference(resolution,[status(thm)],[f876,f129])).
% 0.19/0.50 fof(f923,plain,(
% 0.19/0.50 ~ssList(sK49_skl)|~ssList(nil)|ssList(sK6_skl(nil,sK49_skl))),
% 0.19/0.50 inference(resolution,[status(thm)],[f876,f128])).
% 0.19/0.50 fof(f924,definition,(
% 0.19/0.50 sQ56_spl <=> (app(sK6_skl(nil,sK49_skl),nil)=sK49_skl)),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f927,plain,(
% 0.19/0.50 ~sQ9_spl|~sQ22_spl|sQ56_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f922,f564,f625,f924])).
% 0.19/0.50 fof(f928,definition,(
% 0.19/0.50 sQ57_spl <=> (ssList(sK6_skl(nil,sK49_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f931,plain,(
% 0.19/0.50 ~sQ9_spl|~sQ22_spl|sQ57_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f923,f564,f625,f928])).
% 0.19/0.50 fof(f932,plain,(
% 0.19/0.50 ~ssList(sK50_skl)|~ssList(nil)|app(sK6_skl(nil,sK50_skl),nil)=sK50_skl),
% 0.19/0.50 inference(resolution,[status(thm)],[f877,f129])).
% 0.19/0.50 fof(f933,plain,(
% 0.19/0.50 ~ssList(sK50_skl)|~ssList(nil)|ssList(sK6_skl(nil,sK50_skl))),
% 0.19/0.50 inference(resolution,[status(thm)],[f877,f128])).
% 0.19/0.50 fof(f934,definition,(
% 0.19/0.50 sQ58_spl <=> (app(sK6_skl(nil,sK50_skl),nil)=sK50_skl)),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f937,plain,(
% 0.19/0.50 ~sQ7_spl|~sQ22_spl|sQ58_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f932,f547,f625,f934])).
% 0.19/0.50 fof(f938,definition,(
% 0.19/0.50 sQ59_spl <=> (ssList(sK6_skl(nil,sK50_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f941,plain,(
% 0.19/0.50 ~sQ7_spl|~sQ22_spl|sQ59_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f933,f547,f625,f938])).
% 0.19/0.50 fof(f947,plain,(
% 0.19/0.50 ~singletonP(sK5_skl(sK50_skl,sK50_skl))|ssItem(sK4_skl(sK5_skl(sK50_skl,sK50_skl)))|~sQ27_spl),
% 0.19/0.50 inference(resolution,[status(thm)],[f686,f116])).
% 0.19/0.50 fof(f950,definition,(
% 0.19/0.50 sQ60_spl <=> (singletonP(sK5_skl(sK50_skl,sK50_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f953,definition,(
% 0.19/0.50 sQ61_spl <=> (ssItem(sK4_skl(sK5_skl(sK50_skl,sK50_skl))))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.19/0.50 fof(f956,plain,(
% 0.19/0.50 ~sQ60_spl|sQ61_spl|~sQ27_spl),
% 0.19/0.50 inference(split_clause,[status(thm)],[f947,f950,f953,f685])).
% 0.19/0.50 fof(f962,plain,(
% 0.19/0.50 ~singletonP(sK5_skl(sK49_skl,sK49_skl))|ssItem(sK4_skl(sK5_skl(sK49_skl,sK49_skl)))|~sQ28_spl),
% 0.19/0.50 inference(resolution,[status(thm)],[f690,f116])).
% 0.19/0.50 fof(f965,definition,(
% 0.19/0.50 sQ62_spl <=> (singletonP(sK5_skl(sK49_skl,sK49_skl)))),
% 0.19/0.50 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.19/0.51 fof(f968,definition,(
% 0.19/0.51 sQ63_spl <=> (ssItem(sK4_skl(sK5_skl(sK49_skl,sK49_skl))))),
% 0.19/0.51 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.19/0.51 fof(f971,plain,(
% 0.19/0.51 ~sQ62_spl|sQ63_spl|~sQ28_spl),
% 0.19/0.51 inference(split_clause,[status(thm)],[f962,f965,f968,f689])).
% 0.19/0.51 fof(f979,plain,(
% 0.19/0.51 ~ssList(sK49_skl)|~segmentP(sK50_skl,sK49_skl)|~segmentP(sK49_skl,sK49_skl)|~sQ2_spl|~sQ4_spl),
% 0.19/0.51 inference(resolution,[status(thm)],[f608,f455])).
% 0.19/0.51 fof(f981,plain,(
% 0.19/0.51 ~sQ9_spl|~sQ5_spl|~sQ24_spl|~sQ2_spl|~sQ4_spl),
% 0.19/0.51 inference(split_clause,[status(thm)],[f979,f564,f458,f659,f447,f454])).
% 0.19/0.51 fof(f1035,plain,(
% 0.19/0.51 sP0_prd(sK50_skl,sK50_skl)|~sQ32_spl|~sQ0_spl),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f771,f498])).
% 0.19/0.51 fof(f1036,plain,(
% 0.19/0.51 $false|~sQ32_spl|~sQ0_spl),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1035,f518])).
% 0.19/0.51 fof(f1037,plain,(
% 0.19/0.51 ~sQ32_spl|~sQ0_spl),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f1036])).
% 0.19/0.51 fof(f1038,plain,(
% 0.19/0.51 $false),
% 0.19/0.51 inference(sat_refutation,[status(thm)],[f446,f450,f457,f461,f538,f550,f567,f616,f618,f620,f628,f633,f635,f665,f669,f672,f688,f692,f698,f702,f731,f773,f783,f788,f794,f798,f822,f825,f827,f836,f840,f846,f850,f860,f864,f870,f874,f886,f890,f898,f908,f912,f920,f927,f931,f937,f941,f956,f971,f981,f1037])).
% 0.19/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.58 % Elapsed time: 0.124879 seconds
% 0.25/0.58 % CPU time: 0.158420 seconds
% 0.25/0.58 % Total memory used: 24.466 MB
% 0.25/0.58 % Net memory used: 24.430 MB
%------------------------------------------------------------------------------