%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC085+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 02:41:32 PM UTC 2026
% Result : Theorem 0.27s 0.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC085+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n001.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 07:59:59 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.27/0.67 % Refutation found
% 0.27/0.67 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.27/0.67 % SZS output start CNFRefutation for theBenchmark
% 0.27/0.67 fof(f5,axiom,(
% 0.27/0.67 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.27/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.67 fof(f7,axiom,(
% 0.27/0.67 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.27/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.67 fof(f15,axiom,(
% 0.27/0.67 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.27/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.67 fof(f17,axiom,(
% 0.27/0.67 ssList(nil) ),
% 0.27/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.67 fof(f28,axiom,(
% 0.27/0.67 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.27/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.67 fof(f84,axiom,(
% 0.27/0.67 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.27/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.67 fof(f96,conjecture,(
% 0.27/0.67 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) ) )) )) )) )),
% 0.27/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.67 fof(f97,negated_conjecture,(
% 0.27/0.67 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) ) )) )) )) ))),
% 0.27/0.67 inference(negated_conjecture,[status(cth)],[f96])).
% 0.27/0.67 fof(f119,plain,(
% 0.27/0.67 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.27/0.67 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.27/0.67 fof(f120,plain,(
% 0.27/0.67 ![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)))))))),
% 0.27/0.67 inference(NNF_transformation,[status(thm)],[f119])).
% 0.27/0.67 fof(f121,plain,(
% 0.27/0.67 ![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)))))))),
% 0.27/0.67 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(W,sK5_skl(V,U))],[f120])).
% 0.27/0.67 fof(f122,plain,(
% 0.27/0.67 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|ssList(sK5_skl(X1,X0)))),
% 0.27/0.67 inference(cnf_transformation,[status(thm)],[f121])).
% 0.27/0.67 fof(f123,plain,(
% 0.27/0.67 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sK5_skl(X1,X0))=X0)),
% 0.27/0.67 inference(cnf_transformation,[status(thm)],[f121])).
% 0.27/0.67 fof(f131,plain,(
% 0.27/0.67 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.27/0.67 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.27/0.67 fof(f132,plain,(
% 0.27/0.67 ![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)))))))))),
% 0.27/0.67 inference(NNF_transformation,[status(thm)],[f131])).
% 0.27/0.67 fof(f133,plain,(
% 0.27/0.67 ![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)))))))))),
% 0.27/0.67 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132])).
% 0.27/0.67 fof(f137,plain,(
% 0.27/0.67 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.27/0.67 inference(cnf_transformation,[status(thm)],[f133])).
% 0.27/0.67 fof(f217,plain,(
% 0.27/0.67 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.27/0.67 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.27/0.67 fof(f218,plain,(
% 0.27/0.67 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.27/0.67 inference(NNF_transformation,[status(thm)],[f217])).
% 0.27/0.67 fof(f219,plain,(
% 0.27/0.67 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.27/0.67 inference(cnf_transformation,[status(thm)],[f218])).
% 0.27/0.67 fof(f223,plain,(
% 0.27/0.67 ssList(nil)),
% 0.27/0.67 inference(cnf_transformation,[status(thm)],[f17])).
% 0.27/0.67 fof(f248,plain,(
% 0.27/0.67 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.27/0.67 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.27/0.67 fof(f249,plain,(
% 0.27/0.67 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.27/0.67 inference(cnf_transformation,[status(thm)],[f248])).
% 0.27/0.67 fof(f388,plain,(
% 0.27/0.67 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.27/0.67 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 0.27/0.67 fof(f389,plain,(
% 0.27/0.67 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.27/0.67 inference(cnf_transformation,[status(thm)],[f388])).
% 0.27/0.67 fof(f415,plain,(
% 0.27/0.67 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&neq(V,nil))&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&((nil=X&nil=W)|(neq(W,nil)&frontsegP(X,W))))))))))))),
% 0.27/0.67 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.27/0.67 fof(f416,definition,(
% 0.27/0.67 ![W,X]: (sP0_prd(X,W)<=>(nil=X&nil=W))),
% 0.27/0.67 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.27/0.67 fof(f417,plain,(
% 0.27/0.67 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&neq(V,nil))&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(sP0_prd(X,W)|(neq(W,nil)&frontsegP(X,W)))))))))))),
% 0.27/0.67 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.27/0.67 fof(f418,plain,(
% 0.27/0.67 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&neq(sK48_skl,nil))&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sK48_skl,Y))|~segmentP(sK47_skl,Y))))&(sP0_prd(sK50_skl,sK49_skl)|(neq(sK49_skl,nil)&frontsegP(sK50_skl,sK49_skl))))))))),
% 0.27/0.67 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])).
% 0.27/0.67 fof(f419,plain,(
% 0.27/0.67 ssList(sK47_skl)),
% 0.27/0.67 inference(cnf_transformation,[status(thm)],[f418])).
% 0.27/0.67 fof(f420,plain,(
% 0.27/0.67 ssList(sK48_skl)),
% 0.27/0.67 inference(cnf_transformation,[status(thm)],[f418])).
% 0.27/0.67 fof(f423,plain,(
% 0.27/0.67 sK48_skl=sK50_skl),
% 0.27/0.67 inference(cnf_transformation,[status(thm)],[f418])).
% 0.27/0.67 fof(f424,plain,(
% 0.27/0.67 sK47_skl=sK49_skl),
% 0.27/0.67 inference(cnf_transformation,[status(thm)],[f418])).
% 0.27/0.67 fof(f425,plain,(
% 0.27/0.67 neq(sK48_skl,nil)),
% 0.27/0.67 inference(cnf_transformation,[status(thm)],[f418])).
% 0.27/0.67 fof(f426,plain,(
% 0.27/0.67 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0))),
% 0.27/0.67 inference(cnf_transformation,[status(thm)],[f418])).
% 0.27/0.67 fof(f427,plain,(
% 0.27/0.67 sP0_prd(sK50_skl,sK49_skl)|neq(sK49_skl,nil)),
% 0.27/0.67 inference(cnf_transformation,[status(thm)],[f418])).
% 0.27/0.67 fof(f428,plain,(
% 0.27/0.67 sP0_prd(sK50_skl,sK49_skl)|frontsegP(sK50_skl,sK49_skl)),
% 0.27/0.67 inference(cnf_transformation,[status(thm)],[f418])).
% 0.27/0.67 fof(f429,plain,(
% 0.27/0.67 ![W,X]: ((~sP0_prd(X,W)|(nil=X&nil=W))&(sP0_prd(X,W)|(~nil=X|~nil=W)))),
% 0.27/0.67 inference(NNF_transformation,[status(thm)],[f416])).
% 0.27/0.67 fof(f430,plain,(
% 0.27/0.67 (![W,X]: (~sP0_prd(X,W)|(nil=X&nil=W)))&(![W,X]: (sP0_prd(X,W)|(~nil=X|~nil=W)))),
% 0.27/0.67 inference(miniscoping,[status(thm)],[f429])).
% 0.27/0.67 fof(f431,plain,(
% 0.27/0.67 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.27/0.67 inference(cnf_transformation,[status(thm)],[f430])).
% 0.27/0.67 fof(f434,definition,(
% 0.27/0.67 sQ0_spl <=> (sP0_prd(sK50_skl,sK49_skl))),
% 0.27/0.67 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.27/0.67 fof(f435,plain,(
% 0.27/0.67 sP0_prd(sK50_skl,sK49_skl)|~sQ0_spl),
% 0.27/0.67 inference(component_clause,[status(thm)],[f434])).
% 0.27/0.67 fof(f437,definition,(
% 0.27/0.67 sQ1_spl <=> (neq(sK49_skl,nil))),
% 0.27/0.67 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.27/0.67 fof(f438,plain,(
% 0.27/0.67 neq(sK49_skl,nil)|~sQ1_spl),
% 0.27/0.67 inference(component_clause,[status(thm)],[f437])).
% 0.27/0.67 fof(f440,plain,(
% 0.27/0.67 sQ0_spl|sQ1_spl),
% 0.27/0.67 inference(split_clause,[status(thm)],[f427,f434,f437])).
% 0.27/0.67 fof(f441,definition,(
% 0.27/0.67 sQ2_spl <=> (frontsegP(sK50_skl,sK49_skl))),
% 0.27/0.67 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.27/0.67 fof(f442,plain,(
% 0.27/0.67 frontsegP(sK50_skl,sK49_skl)|~sQ2_spl),
% 0.27/0.67 inference(component_clause,[status(thm)],[f441])).
% 0.27/0.67 fof(f444,plain,(
% 0.27/0.67 sQ0_spl|sQ2_spl),
% 0.27/0.67 inference(split_clause,[status(thm)],[f428,f434,f441])).
% 0.27/0.67 fof(f451,plain,(
% 0.27/0.67 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.27/0.67 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.27/0.67 fof(f460,plain,(
% 0.27/0.67 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.27/0.67 inference(destructive_equality_resolution,[status(thm)],[f219])).
% 0.27/0.67 fof(f461,plain,(
% 0.27/0.67 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.27/0.67 inference(duplicate_literals_removal,[status(thm)],[f460])).
% 0.27/0.67 fof(f480,plain,(
% 0.27/0.67 sP0_prd(sK48_skl,sK49_skl)|~sQ0_spl),
% 0.27/0.67 inference(forward_demodulation,[status(thm)],[f423,f435])).
% 0.27/0.67 fof(f481,plain,(
% 0.27/0.67 sP0_prd(sK48_skl,sK47_skl)|~sQ0_spl),
% 0.27/0.67 inference(forward_demodulation,[status(thm)],[f424,f480])).
% 0.27/0.67 fof(f482,plain,(
% 0.27/0.67 nil=sK48_skl|~sQ0_spl),
% 0.27/0.67 inference(resolution,[status(thm)],[f431,f481])).
% 0.27/0.67 fof(f485,plain,(
% 0.27/0.67 neq(nil,nil)|~sQ0_spl),
% 0.27/0.67 inference(backward_demodulation,[status(thm)],[f482,f425])).
% 0.27/0.67 fof(f494,plain,(
% 0.27/0.67 ~ssList(nil)|~sQ0_spl),
% 0.27/0.67 inference(resolution,[status(thm)],[f485,f461])).
% 0.27/0.67 fof(f495,plain,(
% 0.27/0.67 $false|~sQ0_spl),
% 0.27/0.67 inference(forward_subsumption_resolution,[status(thm)],[f494,f223])).
% 0.27/0.67 fof(f496,plain,(
% 0.27/0.67 ~sQ0_spl),
% 0.27/0.67 inference(contradiction_clause,[status(thm)],[f495])).
% 0.27/0.67 fof(f497,plain,(
% 0.27/0.67 neq(sK47_skl,nil)|~sQ1_spl),
% 0.27/0.67 inference(forward_demodulation,[status(thm)],[f424,f438])).
% 0.27/0.67 fof(f498,plain,(
% 0.27/0.67 frontsegP(sK50_skl,sK47_skl)|~sQ2_spl),
% 0.27/0.67 inference(forward_demodulation,[status(thm)],[f424,f442])).
% 0.27/0.67 fof(f499,plain,(
% 0.27/0.67 frontsegP(sK48_skl,sK47_skl)|~sQ2_spl),
% 0.27/0.67 inference(backward_demodulation,[status(thm)],[f423,f498])).
% 0.27/0.67 fof(f524,plain,(
% 0.27/0.67 app(nil,sK47_skl)=sK47_skl),
% 0.27/0.67 inference(resolution,[status(thm)],[f249,f419])).
% 0.27/0.67 fof(f529,definition,(
% 0.27/0.67 sQ8_spl <=> (ssList(sK48_skl))),
% 0.27/0.67 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.27/0.67 fof(f531,plain,(
% 0.27/0.67 ~ssList(sK48_skl)|sQ8_spl),
% 0.27/0.67 inference(component_clause,[status(thm)],[f529])).
% 0.27/0.67 fof(f532,definition,(
% 0.27/0.67 sQ9_spl <=> (ssList(nil))),
% 0.27/0.67 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.27/0.67 fof(f534,plain,(
% 0.27/0.67 ~ssList(nil)|sQ9_spl),
% 0.27/0.67 inference(component_clause,[status(thm)],[f532])).
% 0.27/0.67 fof(f536,plain,(
% 0.27/0.67 $false|sQ9_spl),
% 0.27/0.67 inference(forward_subsumption_resolution,[status(thm)],[f534,f223])).
% 0.27/0.67 fof(f537,plain,(
% 0.27/0.67 sQ9_spl),
% 0.27/0.67 inference(contradiction_clause,[status(thm)],[f536])).
% 0.27/0.67 fof(f545,plain,(
% 0.27/0.67 ![X0]: (~ssList(app(sK47_skl,X0))|~ssList(sK47_skl)|segmentP(app(app(nil,sK47_skl),X0),sK47_skl)|~ssList(nil)|~ssList(X0))),
% 0.27/0.67 inference(paramodulation,[status(thm)],[f524,f451])).
% 0.27/0.67 fof(f546,definition,(
% 0.27/0.67 ![X0]: (sQ11_spl <=> (~ssList(app(sK47_skl,X0))|segmentP(app(app(nil,sK47_skl),X0),sK47_skl)|~ssList(X0)))),
% 0.27/0.67 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.27/0.67 fof(f547,plain,(
% 0.27/0.67 ![X0]: (~ssList(app(sK47_skl,X0))|segmentP(app(app(nil,sK47_skl),X0),sK47_skl)|~ssList(X0)|~sQ11_spl)),
% 0.27/0.67 inference(component_clause,[status(thm)],[f546])).
% 0.27/0.67 fof(f549,definition,(
% 0.27/0.67 sQ12_spl <=> (ssList(sK47_skl))),
% 0.27/0.67 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.27/0.67 fof(f551,plain,(
% 0.27/0.67 ~ssList(sK47_skl)|sQ12_spl),
% 0.27/0.67 inference(component_clause,[status(thm)],[f549])).
% 0.27/0.67 fof(f552,plain,(
% 0.27/0.67 sQ11_spl|~sQ12_spl|~sQ9_spl),
% 0.27/0.67 inference(split_clause,[status(thm)],[f545,f546,f549,f532])).
% 0.27/0.67 fof(f553,plain,(
% 0.27/0.67 ![X0]: (~ssList(app(sK47_skl,X0))|segmentP(app(sK47_skl,X0),sK47_skl)|~ssList(X0)|~sQ11_spl)),
% 0.27/0.67 inference(forward_demodulation,[status(thm)],[f524,f547])).
% 0.27/0.67 fof(f570,plain,(
% 0.27/0.67 $false|sQ8_spl),
% 0.27/0.67 inference(forward_subsumption_resolution,[status(thm)],[f531,f420])).
% 0.27/0.67 fof(f571,plain,(
% 0.27/0.67 sQ8_spl),
% 0.27/0.67 inference(contradiction_clause,[status(thm)],[f570])).
% 0.27/0.67 fof(f639,plain,(
% 0.27/0.67 $false|sQ12_spl),
% 0.27/0.67 inference(forward_subsumption_resolution,[status(thm)],[f551,f419])).
% 0.27/0.67 fof(f640,plain,(
% 0.27/0.67 sQ12_spl),
% 0.27/0.67 inference(contradiction_clause,[status(thm)],[f639])).
% 0.27/0.67 fof(f686,plain,(
% 0.27/0.67 ~ssList(sK48_skl)|~ssList(sK47_skl)|app(sK47_skl,sK5_skl(sK47_skl,sK48_skl))=sK48_skl|~sQ2_spl),
% 0.27/0.67 inference(resolution,[status(thm)],[f123,f499])).
% 0.27/0.67 fof(f691,definition,(
% 0.27/0.67 sQ31_spl <=> (app(sK47_skl,sK5_skl(sK47_skl,sK48_skl))=sK48_skl)),
% 0.27/0.67 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.27/0.67 fof(f692,plain,(
% 0.27/0.67 app(sK47_skl,sK5_skl(sK47_skl,sK48_skl))=sK48_skl|~sQ31_spl),
% 0.27/0.67 inference(component_clause,[status(thm)],[f691])).
% 0.27/0.67 fof(f694,plain,(
% 0.27/0.67 ~sQ8_spl|~sQ12_spl|sQ31_spl|~sQ2_spl),
% 0.27/0.67 inference(split_clause,[status(thm)],[f686,f529,f549,f691,f441])).
% 0.27/0.67 fof(f715,definition,(
% 0.27/0.67 sQ34_spl <=> (ssList(sK5_skl(sK47_skl,sK48_skl)))),
% 0.27/0.67 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.27/0.67 fof(f717,plain,(
% 0.27/0.67 ~ssList(sK5_skl(sK47_skl,sK48_skl))|sQ34_spl),
% 0.27/0.67 inference(component_clause,[status(thm)],[f715])).
% 0.27/0.67 fof(f723,plain,(
% 0.27/0.67 ~ssList(sK48_skl)|~ssList(sK47_skl)|~frontsegP(sK48_skl,sK47_skl)|sQ34_spl),
% 0.27/0.67 inference(resolution,[status(thm)],[f717,f122])).
% 0.27/0.67 fof(f724,definition,(
% 0.27/0.67 sQ36_spl <=> (frontsegP(sK48_skl,sK47_skl))),
% 0.27/0.67 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.27/0.67 fof(f726,plain,(
% 0.27/0.67 ~frontsegP(sK48_skl,sK47_skl)|sQ36_spl),
% 0.27/0.67 inference(component_clause,[status(thm)],[f724])).
% 0.27/0.67 fof(f727,plain,(
% 0.27/0.67 ~sQ8_spl|~sQ12_spl|~sQ36_spl|sQ34_spl),
% 0.27/0.67 inference(split_clause,[status(thm)],[f723,f529,f549,f724,f715])).
% 0.27/0.67 fof(f729,plain,(
% 0.27/0.67 $false|~sQ2_spl|sQ36_spl),
% 0.27/0.67 inference(forward_subsumption_resolution,[status(thm)],[f726,f499])).
% 0.27/0.67 fof(f730,plain,(
% 0.27/0.67 ~sQ2_spl|sQ36_spl),
% 0.27/0.67 inference(contradiction_clause,[status(thm)],[f729])).
% 0.27/0.67 fof(f806,plain,(
% 0.27/0.67 app(sK47_skl,nil)=sK47_skl),
% 0.27/0.67 inference(resolution,[status(thm)],[f389,f419])).
% 0.27/0.67 fof(f886,plain,(
% 0.27/0.67 ~ssList(sK47_skl)|segmentP(app(sK47_skl,nil),sK47_skl)|~ssList(nil)|~sQ11_spl),
% 0.27/0.67 inference(paramodulation,[status(thm)],[f806,f553])).
% 0.27/0.67 fof(f888,plain,(
% 0.27/0.67 ~ssList(sK48_skl)|segmentP(app(sK47_skl,sK5_skl(sK47_skl,sK48_skl)),sK47_skl)|~ssList(sK5_skl(sK47_skl,sK48_skl))|~sQ11_spl|~sQ31_spl),
% 0.27/0.67 inference(paramodulation,[status(thm)],[f692,f553])).
% 0.27/0.67 fof(f889,definition,(
% 0.27/0.67 sQ57_spl <=> (segmentP(app(sK47_skl,nil),sK47_skl))),
% 0.27/0.67 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.27/0.67 fof(f890,plain,(
% 0.27/0.67 segmentP(app(sK47_skl,nil),sK47_skl)|~sQ57_spl),
% 0.27/0.67 inference(component_clause,[status(thm)],[f889])).
% 0.27/0.67 fof(f892,plain,(
% 0.27/0.67 ~sQ12_spl|sQ57_spl|~sQ9_spl|~sQ11_spl),
% 0.27/0.67 inference(split_clause,[status(thm)],[f886,f549,f889,f532,f546])).
% 0.27/0.67 fof(f897,definition,(
% 0.27/0.67 sQ59_spl <=> (segmentP(app(sK47_skl,sK5_skl(sK47_skl,sK48_skl)),sK47_skl))),
% 0.27/0.67 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.27/0.67 fof(f898,plain,(
% 0.27/0.67 segmentP(app(sK47_skl,sK5_skl(sK47_skl,sK48_skl)),sK47_skl)|~sQ59_spl),
% 0.27/0.67 inference(component_clause,[status(thm)],[f897])).
% 0.27/0.67 fof(f900,plain,(
% 0.27/0.67 ~sQ8_spl|sQ59_spl|~sQ34_spl|~sQ11_spl|~sQ31_spl),
% 0.27/0.67 inference(split_clause,[status(thm)],[f888,f529,f897,f715,f546,f691])).
% 0.27/0.67 fof(f901,plain,(
% 0.27/0.67 segmentP(sK47_skl,sK47_skl)|~sQ57_spl),
% 0.27/0.67 inference(forward_demodulation,[status(thm)],[f806,f890])).
% 0.27/0.67 fof(f902,plain,(
% 0.27/0.67 segmentP(sK48_skl,sK47_skl)|~sQ31_spl|~sQ59_spl),
% 0.27/0.67 inference(forward_demodulation,[status(thm)],[f692,f898])).
% 0.27/0.67 fof(f904,plain,(
% 0.27/0.67 ~ssList(sK47_skl)|~neq(sK47_skl,nil)|~segmentP(sK47_skl,sK47_skl)|~sQ31_spl|~sQ59_spl),
% 0.27/0.67 inference(resolution,[status(thm)],[f902,f426])).
% 0.27/0.67 fof(f905,definition,(
% 0.27/0.67 sQ60_spl <=> (neq(sK47_skl,nil))),
% 0.27/0.67 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.27/0.67 fof(f907,plain,(
% 0.27/0.67 ~neq(sK47_skl,nil)|sQ60_spl),
% 0.27/0.67 inference(component_clause,[status(thm)],[f905])).
% 0.27/0.67 fof(f908,definition,(
% 0.27/0.67 sQ61_spl <=> (segmentP(sK47_skl,sK47_skl))),
% 0.27/0.67 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.27/0.67 fof(f910,plain,(
% 0.27/0.67 ~segmentP(sK47_skl,sK47_skl)|sQ61_spl),
% 0.27/0.67 inference(component_clause,[status(thm)],[f908])).
% 0.27/0.67 fof(f911,plain,(
% 0.27/0.67 ~sQ12_spl|~sQ60_spl|~sQ61_spl|~sQ31_spl|~sQ59_spl),
% 0.27/0.67 inference(split_clause,[status(thm)],[f904,f549,f905,f908,f691,f897])).
% 0.27/0.67 fof(f912,plain,(
% 0.27/0.67 $false|~sQ1_spl|sQ60_spl),
% 0.27/0.67 inference(forward_subsumption_resolution,[status(thm)],[f907,f497])).
% 0.27/0.67 fof(f913,plain,(
% 0.27/0.67 ~sQ1_spl|sQ60_spl),
% 0.27/0.67 inference(contradiction_clause,[status(thm)],[f912])).
% 0.27/0.67 fof(f914,plain,(
% 0.27/0.67 $false|~sQ57_spl|sQ61_spl),
% 0.27/0.67 inference(forward_subsumption_resolution,[status(thm)],[f910,f901])).
% 0.27/0.68 fof(f915,plain,(
% 0.27/0.68 ~sQ57_spl|sQ61_spl),
% 0.27/0.68 inference(contradiction_clause,[status(thm)],[f914])).
% 0.27/0.68 fof(f916,plain,(
% 0.27/0.68 $false),
% 0.27/0.68 inference(sat_refutation,[status(thm)],[f440,f444,f496,f537,f552,f571,f640,f694,f727,f730,f892,f900,f911,f913,f915])).
% 0.27/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 0.27/0.70 % Elapsed time: 0.243491 seconds
% 0.27/0.70 % CPU time: 1.574267 seconds
% 0.27/0.70 % Total memory used: 126.907 MB
% 0.27/0.70 % Net memory used: 125.777 MB
%------------------------------------------------------------------------------