%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC068+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 : n005.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 02:41:29 PM UTC 2026
% Result : Theorem 0.18s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC068+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
% 0.14/0.40 % Computer : n005.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 21 07:53:02 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.18/0.44 % Drodi V4.1.1
% 0.18/0.44 % Refutation found
% 0.18/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.44 fof(f7,axiom,(
% 0.18/0.44 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.18/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f15,axiom,(
% 0.18/0.44 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.18/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f17,axiom,(
% 0.18/0.44 ssList(nil) ),
% 0.18/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f55,axiom,(
% 0.18/0.44 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.18/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f84,axiom,(
% 0.18/0.44 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.18/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f96,conjecture,(
% 0.18/0.44 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( app(X,X) != W| V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| ( nil = V& nil = U ) ) ) )) )) )) )),
% 0.18/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f97,negated_conjecture,(
% 0.18/0.44 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( app(X,X) != W| V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| ( nil = V& nil = U ) ) ) )) )) )) ))),
% 0.18/0.44 inference(negated_conjecture,[status(cth)],[f96])).
% 0.18/0.44 fof(f131,plain,(
% 0.18/0.44 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.18/0.44 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.18/0.44 fof(f132,plain,(
% 0.18/0.44 ![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)))))))))),
% 0.18/0.44 inference(NNF_transformation,[status(thm)],[f131])).
% 0.18/0.44 fof(f133,plain,(
% 0.18/0.44 ![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)))))))))),
% 0.18/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132])).
% 0.18/0.44 fof(f137,plain,(
% 0.18/0.44 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f133])).
% 0.18/0.44 fof(f217,plain,(
% 0.18/0.44 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.18/0.44 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.18/0.44 fof(f218,plain,(
% 0.18/0.44 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.18/0.44 inference(NNF_transformation,[status(thm)],[f217])).
% 0.18/0.44 fof(f220,plain,(
% 0.18/0.44 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f218])).
% 0.18/0.44 fof(f223,plain,(
% 0.18/0.44 ssList(nil)),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f17])).
% 0.18/0.44 fof(f318,plain,(
% 0.18/0.44 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.18/0.44 inference(pre_NNF_transformation,[status(thm)],[f55])).
% 0.18/0.44 fof(f319,plain,(
% 0.18/0.44 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f318])).
% 0.18/0.44 fof(f388,plain,(
% 0.18/0.44 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.18/0.44 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 0.18/0.44 fof(f389,plain,(
% 0.18/0.44 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f388])).
% 0.18/0.44 fof(f415,plain,(
% 0.18/0.44 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((app(X,X)=W&V=X)&U=W)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(~nil=V|~nil=U))))))))))),
% 0.18/0.44 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.18/0.44 fof(f416,plain,(
% 0.18/0.44 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((((app(sK50_skl,sK50_skl)=sK49_skl&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sK48_skl,Y))|~segmentP(sK47_skl,Y))))&(~nil=sK48_skl|~nil=sK47_skl))))))),
% 0.18/0.44 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)],[f415])).
% 0.18/0.44 fof(f419,plain,(
% 0.18/0.44 ssList(sK49_skl)),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.44 fof(f420,plain,(
% 0.18/0.44 ssList(sK50_skl)),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.44 fof(f421,plain,(
% 0.18/0.44 app(sK50_skl,sK50_skl)=sK49_skl),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.44 fof(f422,plain,(
% 0.18/0.44 sK48_skl=sK50_skl),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.44 fof(f423,plain,(
% 0.18/0.44 sK47_skl=sK49_skl),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.44 fof(f424,plain,(
% 0.18/0.44 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0))),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.44 fof(f425,plain,(
% 0.18/0.44 ~nil=sK48_skl|~nil=sK47_skl),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.44 fof(f426,definition,(
% 0.18/0.44 sQ0_spl <=> (nil=sK48_skl)),
% 0.18/0.44 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.18/0.44 fof(f427,plain,(
% 0.18/0.44 nil=sK48_skl|~sQ0_spl),
% 0.18/0.44 inference(component_clause,[status(thm)],[f426])).
% 0.18/0.44 fof(f428,plain,(
% 0.18/0.44 ~nil=sK48_skl|sQ0_spl),
% 0.18/0.44 inference(component_clause,[status(thm)],[f426])).
% 0.18/0.44 fof(f429,definition,(
% 0.18/0.44 sQ1_spl <=> (nil=sK47_skl)),
% 0.18/0.44 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.18/0.44 fof(f431,plain,(
% 0.18/0.44 ~nil=sK47_skl|sQ1_spl),
% 0.18/0.44 inference(component_clause,[status(thm)],[f429])).
% 0.18/0.44 fof(f432,plain,(
% 0.18/0.44 ~sQ0_spl|~sQ1_spl),
% 0.18/0.44 inference(split_clause,[status(thm)],[f425,f426,f429])).
% 0.18/0.44 fof(f439,plain,(
% 0.18/0.44 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.18/0.44 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.18/0.44 fof(f465,plain,(
% 0.18/0.44 ~nil=sK50_skl|sQ0_spl),
% 0.18/0.44 inference(forward_demodulation,[status(thm)],[f422,f428])).
% 0.18/0.44 fof(f467,plain,(
% 0.18/0.44 segmentP(sK50_skl,sK50_skl)),
% 0.18/0.44 inference(resolution,[status(thm)],[f319,f420])).
% 0.18/0.44 fof(f472,plain,(
% 0.18/0.44 ![X0]: (~ssList(app(sK49_skl,X0))|~ssList(sK50_skl)|segmentP(app(app(sK50_skl,sK50_skl),X0),sK50_skl)|~ssList(sK50_skl)|~ssList(X0))),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f421,f439])).
% 0.18/0.44 fof(f473,definition,(
% 0.18/0.44 ![X0]: (sQ2_spl <=> (~ssList(app(sK49_skl,X0))|segmentP(app(app(sK50_skl,sK50_skl),X0),sK50_skl)|~ssList(X0)))),
% 0.18/0.44 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.18/0.44 fof(f474,plain,(
% 0.18/0.44 ![X0]: (~ssList(app(sK49_skl,X0))|segmentP(app(app(sK50_skl,sK50_skl),X0),sK50_skl)|~ssList(X0)|~sQ2_spl)),
% 0.18/0.44 inference(component_clause,[status(thm)],[f473])).
% 0.18/0.44 fof(f476,definition,(
% 0.18/0.44 sQ3_spl <=> (ssList(sK50_skl))),
% 0.18/0.44 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.18/0.44 fof(f478,plain,(
% 0.18/0.44 ~ssList(sK50_skl)|sQ3_spl),
% 0.18/0.44 inference(component_clause,[status(thm)],[f476])).
% 0.18/0.44 fof(f479,plain,(
% 0.18/0.44 sQ2_spl|~sQ3_spl),
% 0.18/0.44 inference(split_clause,[status(thm)],[f472,f473,f476])).
% 0.18/0.44 fof(f480,plain,(
% 0.18/0.44 ![X0]: (~ssList(app(sK49_skl,X0))|segmentP(app(sK49_skl,X0),sK50_skl)|~ssList(X0)|~sQ2_spl)),
% 0.18/0.44 inference(forward_demodulation,[status(thm)],[f421,f474])).
% 0.18/0.44 fof(f485,plain,(
% 0.18/0.44 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK50_skl,X0)|~segmentP(sK47_skl,X0))),
% 0.18/0.44 inference(forward_demodulation,[status(thm)],[f422,f424])).
% 0.18/0.44 fof(f486,plain,(
% 0.18/0.44 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK50_skl,X0)|~segmentP(sK49_skl,X0))),
% 0.18/0.44 inference(forward_demodulation,[status(thm)],[f423,f485])).
% 0.18/0.44 fof(f494,definition,(
% 0.18/0.44 sQ5_spl <=> (ssList(nil))),
% 0.18/0.44 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.18/0.44 fof(f496,plain,(
% 0.18/0.44 ~ssList(nil)|sQ5_spl),
% 0.18/0.44 inference(component_clause,[status(thm)],[f494])).
% 0.18/0.44 fof(f498,plain,(
% 0.18/0.44 $false|sQ3_spl),
% 0.18/0.44 inference(forward_subsumption_resolution,[status(thm)],[f478,f420])).
% 0.18/0.44 fof(f499,plain,(
% 0.18/0.44 sQ3_spl),
% 0.18/0.44 inference(contradiction_clause,[status(thm)],[f498])).
% 0.18/0.44 fof(f505,definition,(
% 0.18/0.44 sQ7_spl <=> (ssList(sK49_skl))),
% 0.18/0.44 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.18/0.44 fof(f507,plain,(
% 0.18/0.44 ~ssList(sK49_skl)|sQ7_spl),
% 0.18/0.44 inference(component_clause,[status(thm)],[f505])).
% 0.18/0.44 fof(f509,plain,(
% 0.18/0.44 $false|sQ5_spl),
% 0.18/0.44 inference(forward_subsumption_resolution,[status(thm)],[f496,f223])).
% 0.18/0.44 fof(f510,plain,(
% 0.18/0.44 sQ5_spl),
% 0.18/0.44 inference(contradiction_clause,[status(thm)],[f509])).
% 0.18/0.44 fof(f519,plain,(
% 0.18/0.44 app(sK50_skl,nil)=sK50_skl),
% 0.18/0.44 inference(resolution,[status(thm)],[f389,f420])).
% 0.18/0.44 fof(f520,plain,(
% 0.18/0.44 app(sK49_skl,nil)=sK49_skl),
% 0.18/0.44 inference(resolution,[status(thm)],[f389,f419])).
% 0.18/0.44 fof(f527,plain,(
% 0.18/0.44 ~ssList(sK49_skl)|segmentP(app(sK49_skl,nil),sK50_skl)|~ssList(nil)|~sQ2_spl),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f520,f480])).
% 0.18/0.44 fof(f529,definition,(
% 0.18/0.44 sQ10_spl <=> (segmentP(app(sK49_skl,nil),sK50_skl))),
% 0.18/0.44 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.18/0.44 fof(f530,plain,(
% 0.18/0.44 segmentP(app(sK49_skl,nil),sK50_skl)|~sQ10_spl),
% 0.18/0.44 inference(component_clause,[status(thm)],[f529])).
% 0.18/0.44 fof(f532,plain,(
% 0.18/0.44 ~sQ7_spl|sQ10_spl|~sQ5_spl|~sQ2_spl),
% 0.18/0.44 inference(split_clause,[status(thm)],[f527,f505,f529,f494,f473])).
% 0.18/0.44 fof(f537,plain,(
% 0.18/0.44 $false|sQ7_spl),
% 0.18/0.44 inference(forward_subsumption_resolution,[status(thm)],[f507,f419])).
% 0.18/0.44 fof(f538,plain,(
% 0.18/0.44 sQ7_spl),
% 0.18/0.44 inference(contradiction_clause,[status(thm)],[f537])).
% 0.18/0.44 fof(f539,plain,(
% 0.18/0.44 segmentP(sK49_skl,sK50_skl)|~sQ10_spl),
% 0.18/0.44 inference(forward_demodulation,[status(thm)],[f520,f530])).
% 0.18/0.44 fof(f567,plain,(
% 0.18/0.44 ![X0]: (~ssList(X0)|neq(sK50_skl,X0)|sK50_skl=X0)),
% 0.18/0.44 inference(resolution,[status(thm)],[f220,f420])).
% 0.18/0.44 fof(f647,plain,(
% 0.18/0.44 neq(sK50_skl,nil)|sK50_skl=nil),
% 0.18/0.44 inference(resolution,[status(thm)],[f567,f223])).
% 0.18/0.44 fof(f657,definition,(
% 0.18/0.44 sQ31_spl <=> (neq(sK50_skl,nil))),
% 0.18/0.44 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.18/0.44 fof(f658,plain,(
% 0.18/0.44 neq(sK50_skl,nil)|~sQ31_spl),
% 0.18/0.44 inference(component_clause,[status(thm)],[f657])).
% 0.18/0.44 fof(f660,definition,(
% 0.18/0.44 sQ32_spl <=> (sK50_skl=nil)),
% 0.18/0.44 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.18/0.44 fof(f661,plain,(
% 0.18/0.44 sK50_skl=nil|~sQ32_spl),
% 0.18/0.44 inference(component_clause,[status(thm)],[f660])).
% 0.18/0.44 fof(f663,plain,(
% 0.18/0.44 sQ31_spl|sQ32_spl),
% 0.18/0.44 inference(split_clause,[status(thm)],[f647,f657,f660])).
% 0.18/0.44 fof(f681,plain,(
% 0.18/0.44 ~ssList(sK50_skl)|~segmentP(sK50_skl,sK50_skl)|~segmentP(sK49_skl,sK50_skl)|~sQ31_spl),
% 0.18/0.44 inference(resolution,[status(thm)],[f658,f486])).
% 0.18/0.44 fof(f682,definition,(
% 0.18/0.44 sQ37_spl <=> (segmentP(sK50_skl,sK50_skl))),
% 0.18/0.44 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.18/0.44 fof(f684,plain,(
% 0.18/0.44 ~segmentP(sK50_skl,sK50_skl)|sQ37_spl),
% 0.18/0.44 inference(component_clause,[status(thm)],[f682])).
% 0.18/0.44 fof(f685,definition,(
% 0.18/0.44 sQ38_spl <=> (segmentP(sK49_skl,sK50_skl))),
% 0.18/0.44 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.18/0.44 fof(f687,plain,(
% 0.18/0.44 ~segmentP(sK49_skl,sK50_skl)|sQ38_spl),
% 0.18/0.44 inference(component_clause,[status(thm)],[f685])).
% 0.18/0.44 fof(f688,plain,(
% 0.18/0.44 ~sQ3_spl|~sQ37_spl|~sQ38_spl|~sQ31_spl),
% 0.18/0.44 inference(split_clause,[status(thm)],[f681,f476,f682,f685,f657])).
% 0.18/0.44 fof(f689,plain,(
% 0.18/0.44 $false|sQ0_spl|~sQ32_spl),
% 0.18/0.44 inference(forward_subsumption_resolution,[status(thm)],[f661,f465])).
% 0.18/0.44 fof(f690,plain,(
% 0.18/0.44 sQ0_spl|~sQ32_spl),
% 0.18/0.44 inference(contradiction_clause,[status(thm)],[f689])).
% 0.18/0.44 fof(f691,plain,(
% 0.18/0.44 ~nil=sK49_skl|sQ1_spl),
% 0.18/0.44 inference(forward_demodulation,[status(thm)],[f423,f431])).
% 0.18/0.44 fof(f692,plain,(
% 0.18/0.44 $false|sQ37_spl),
% 0.18/0.44 inference(forward_subsumption_resolution,[status(thm)],[f684,f467])).
% 0.18/0.44 fof(f693,plain,(
% 0.18/0.44 sQ37_spl),
% 0.18/0.44 inference(contradiction_clause,[status(thm)],[f692])).
% 0.18/0.44 fof(f694,plain,(
% 0.18/0.44 nil=sK50_skl|~sQ0_spl),
% 0.18/0.44 inference(forward_demodulation,[status(thm)],[f422,f427])).
% 0.18/0.44 fof(f695,plain,(
% 0.18/0.44 $false|~sQ10_spl|sQ38_spl),
% 0.18/0.44 inference(forward_subsumption_resolution,[status(thm)],[f687,f539])).
% 0.18/0.44 fof(f696,plain,(
% 0.18/0.44 ~sQ10_spl|sQ38_spl),
% 0.18/0.44 inference(contradiction_clause,[status(thm)],[f695])).
% 0.18/0.44 fof(f697,plain,(
% 0.18/0.44 ~sK50_skl=sK49_skl|~sQ0_spl|sQ1_spl),
% 0.18/0.44 inference(backward_demodulation,[status(thm)],[f694,f691])).
% 0.18/0.44 fof(f703,plain,(
% 0.18/0.44 app(sK50_skl,sK50_skl)=sK50_skl|~sQ0_spl),
% 0.18/0.44 inference(backward_demodulation,[status(thm)],[f694,f519])).
% 0.18/0.44 fof(f775,plain,(
% 0.18/0.44 sK50_skl=sK49_skl|~sQ0_spl),
% 0.18/0.44 inference(backward_demodulation,[status(thm)],[f703,f421])).
% 0.18/0.44 fof(f777,plain,(
% 0.18/0.44 $false|sQ1_spl|~sQ0_spl),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f775,f697])).
% 0.18/0.45 fof(f778,plain,(
% 0.18/0.45 sQ1_spl|~sQ0_spl),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f777])).
% 0.18/0.45 fof(f779,plain,(
% 0.18/0.45 $false),
% 0.18/0.45 inference(sat_refutation,[status(thm)],[f432,f479,f499,f510,f532,f538,f663,f688,f690,f693,f696,f778])).
% 0.18/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.52 % Elapsed time: 0.102163 seconds
% 0.18/0.52 % CPU time: 0.132167 seconds
% 0.18/0.52 % Total memory used: 20.871 MB
% 0.18/0.52 % Net memory used: 20.843 MB
%------------------------------------------------------------------------------