%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC049+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 : n018.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 02:41:26 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC049+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 07:53:15 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f5,axiom,(
% 0.12/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f15,axiom,(
% 0.12/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f17,axiom,(
% 0.12/0.38 ssList(nil) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f42,axiom,(
% 0.12/0.38 (! [U] :( ssList(U)=> frontsegP(U,U) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f47,axiom,(
% 0.12/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( rearsegP(U,V)& rearsegP(V,W) )=> rearsegP(U,W) ) ) )) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f48,axiom,(
% 0.12/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( rearsegP(U,V)& rearsegP(V,U) )=> U = V ) ) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f49,axiom,(
% 0.12/0.38 (! [U] :( ssList(U)=> rearsegP(U,U) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f51,axiom,(
% 0.12/0.38 (! [U] :( ssList(U)=> rearsegP(U,nil) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f52,axiom,(
% 0.12/0.38 (! [U] :( ssList(U)=> ( rearsegP(nil,U)<=> nil = U ) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f96,conjecture,(
% 0.12/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& rearsegP(V,Y)& rearsegP(U,Y) ))| ( nil != W& nil = X )| ( nil = V& nil = U )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f97,negated_conjecture,(
% 0.12/0.38 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& rearsegP(V,Y)& rearsegP(U,Y) ))| ( nil != W& nil = X )| ( nil = V& nil = U )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f96])).
% 0.12/0.38 fof(f119,plain,(
% 0.12/0.38 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.12/0.38 fof(f120,plain,(
% 0.12/0.38 ![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)))))))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f119])).
% 0.12/0.38 fof(f121,plain,(
% 0.12/0.38 ![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)))))))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(W,sK5_skl(V,U))],[f120])).
% 0.12/0.38 fof(f122,plain,(
% 0.12/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|ssList(sK5_skl(X1,X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f121])).
% 0.12/0.38 fof(f123,plain,(
% 0.12/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sK5_skl(X1,X0))=X0)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f121])).
% 0.12/0.38 fof(f217,plain,(
% 0.12/0.38 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.12/0.38 fof(f218,plain,(
% 0.12/0.38 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f217])).
% 0.12/0.38 fof(f220,plain,(
% 0.12/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f218])).
% 0.12/0.38 fof(f223,plain,(
% 0.12/0.38 ssList(nil)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.38 fof(f285,plain,(
% 0.12/0.38 ![U]: (~ssList(U)|frontsegP(U,U))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.12/0.38 fof(f286,plain,(
% 0.12/0.38 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f285])).
% 0.12/0.38 fof(f300,plain,(
% 0.12/0.38 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~rearsegP(U,V)|~rearsegP(V,W))|rearsegP(U,W)))))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.12/0.39 fof(f301,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~rearsegP(X0,X1)|~rearsegP(X1,X2)|rearsegP(X0,X2))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f300])).
% 0.12/0.39 fof(f302,plain,(
% 0.12/0.39 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|~rearsegP(V,U))|U=V))))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f48])).
% 0.12/0.39 fof(f303,plain,(
% 0.12/0.39 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|~rearsegP(X1,X0)|X0=X1)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f302])).
% 0.12/0.39 fof(f304,plain,(
% 0.12/0.39 ![U]: (~ssList(U)|rearsegP(U,U))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.12/0.39 fof(f305,plain,(
% 0.12/0.39 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f304])).
% 0.12/0.39 fof(f308,plain,(
% 0.12/0.39 ![U]: (~ssList(U)|rearsegP(U,nil))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f51])).
% 0.12/0.39 fof(f309,plain,(
% 0.12/0.39 ![X0]: (~ssList(X0)|rearsegP(X0,nil))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f308])).
% 0.12/0.39 fof(f310,plain,(
% 0.12/0.39 ![U]: (~ssList(U)|(rearsegP(nil,U)<=>nil=U))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f52])).
% 0.12/0.39 fof(f311,plain,(
% 0.12/0.39 ![U]: (~ssList(U)|((~rearsegP(nil,U)|nil=U)&(rearsegP(nil,U)|~nil=U)))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f310])).
% 0.12/0.39 fof(f313,plain,(
% 0.12/0.39 ![X0]: (~ssList(X0)|rearsegP(nil,X0)|~nil=X0)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f311])).
% 0.12/0.39 fof(f415,plain,(
% 0.12/0.39 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~rearsegP(V,Y))|~rearsegP(U,Y))))&(nil=W|~nil=X))&(~nil=V|~nil=U))&(~neq(X,nil)|(neq(W,nil)&rearsegP(X,W))))))))))))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.12/0.39 fof(f416,plain,(
% 0.12/0.39 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~rearsegP(sK48_skl,Y))|~rearsegP(sK47_skl,Y))))&(nil=sK49_skl|~nil=sK50_skl))&(~nil=sK48_skl|~nil=sK47_skl))&(~neq(sK50_skl,nil)|(neq(sK49_skl,nil)&rearsegP(sK50_skl,sK49_skl))))))))),
% 0.12/0.39 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])).
% 0.12/0.39 fof(f419,plain,(
% 0.12/0.39 ssList(sK49_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f420,plain,(
% 0.12/0.39 ssList(sK50_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f421,plain,(
% 0.12/0.39 sK48_skl=sK50_skl),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f422,plain,(
% 0.12/0.39 sK47_skl=sK49_skl),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f423,plain,(
% 0.12/0.39 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sK48_skl,X0)|~rearsegP(sK47_skl,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f424,plain,(
% 0.12/0.39 nil=sK49_skl|~nil=sK50_skl),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f425,plain,(
% 0.12/0.39 ~nil=sK48_skl|~nil=sK47_skl),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f426,plain,(
% 0.12/0.39 ~neq(sK50_skl,nil)|neq(sK49_skl,nil)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f427,plain,(
% 0.12/0.39 ~neq(sK50_skl,nil)|rearsegP(sK50_skl,sK49_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f428,definition,(
% 0.12/0.39 sQ0_spl <=> (nil=sK49_skl)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f429,plain,(
% 0.12/0.39 nil=sK49_skl|~sQ0_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f428])).
% 0.12/0.39 fof(f431,definition,(
% 0.12/0.39 sQ1_spl <=> (nil=sK50_skl)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f432,plain,(
% 0.12/0.39 nil=sK50_skl|~sQ1_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f431])).
% 0.12/0.39 fof(f434,plain,(
% 0.12/0.39 sQ0_spl|~sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f424,f428,f431])).
% 0.12/0.39 fof(f435,definition,(
% 0.12/0.39 sQ2_spl <=> (nil=sK48_skl)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f437,plain,(
% 0.12/0.39 ~nil=sK48_skl|sQ2_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f435])).
% 0.12/0.39 fof(f438,definition,(
% 0.12/0.39 sQ3_spl <=> (nil=sK47_skl)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f440,plain,(
% 0.12/0.39 ~nil=sK47_skl|sQ3_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f438])).
% 0.12/0.39 fof(f441,plain,(
% 0.12/0.39 ~sQ2_spl|~sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f425,f435,f438])).
% 0.12/0.39 fof(f442,definition,(
% 0.12/0.39 sQ4_spl <=> (neq(sK50_skl,nil))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f445,definition,(
% 0.12/0.39 sQ5_spl <=> (neq(sK49_skl,nil))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f446,plain,(
% 0.12/0.39 neq(sK49_skl,nil)|~sQ5_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f445])).
% 0.12/0.39 fof(f448,plain,(
% 0.12/0.39 ~sQ4_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f426,f442,f445])).
% 0.12/0.39 fof(f449,definition,(
% 0.12/0.39 sQ6_spl <=> (rearsegP(sK50_skl,sK49_skl))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f452,plain,(
% 0.12/0.39 ~sQ4_spl|sQ6_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f427,f442,f449])).
% 0.12/0.39 fof(f475,plain,(
% 0.12/0.39 ~ssList(nil)|rearsegP(nil,nil)),
% 0.12/0.39 inference(destructive_equality_resolution,[status(thm)],[f313])).
% 0.12/0.39 fof(f485,plain,(
% 0.12/0.39 ~nil=sK50_skl|sQ2_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f421,f437])).
% 0.12/0.39 fof(f486,plain,(
% 0.12/0.39 ~sK49_skl=sK50_skl|~sQ0_spl|sQ2_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f429,f485])).
% 0.12/0.39 fof(f489,plain,(
% 0.12/0.39 rearsegP(sK50_skl,sK50_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f305,f420])).
% 0.12/0.39 fof(f490,plain,(
% 0.12/0.39 rearsegP(sK49_skl,sK49_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f305,f419])).
% 0.12/0.39 fof(f503,plain,(
% 0.12/0.39 frontsegP(sK50_skl,sK50_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f286,f420])).
% 0.12/0.39 fof(f504,plain,(
% 0.12/0.39 frontsegP(sK49_skl,sK49_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f286,f419])).
% 0.12/0.39 fof(f508,plain,(
% 0.12/0.39 ![X0]: (~ssList(X0)|rearsegP(X0,sK49_skl)|~sQ0_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f429,f309])).
% 0.12/0.39 fof(f509,plain,(
% 0.12/0.39 rearsegP(sK50_skl,sK49_skl)|~sQ0_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f508,f420])).
% 0.12/0.39 fof(f511,plain,(
% 0.12/0.39 ![X0]: (~ssList(X0)|neq(sK50_skl,X0)|sK50_skl=X0)),
% 0.12/0.39 inference(resolution,[status(thm)],[f220,f420])).
% 0.12/0.39 fof(f519,definition,(
% 0.12/0.39 sQ7_spl <=> (ssList(sK49_skl))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f521,plain,(
% 0.12/0.39 ~ssList(sK49_skl)|sQ7_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f519])).
% 0.12/0.39 fof(f522,definition,(
% 0.12/0.39 sQ8_spl <=> (sK49_skl=sK49_skl)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f526,definition,(
% 0.12/0.39 sQ9_spl <=> (ssList(nil))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f528,plain,(
% 0.12/0.39 ~ssList(nil)|sQ9_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f526])).
% 0.12/0.39 fof(f529,definition,(
% 0.12/0.39 sQ10_spl <=> (rearsegP(nil,nil))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f530,plain,(
% 0.12/0.39 rearsegP(nil,nil)|~sQ10_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f529])).
% 0.12/0.39 fof(f532,plain,(
% 0.12/0.39 ~sQ9_spl|sQ10_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f475,f526,f529])).
% 0.12/0.39 fof(f533,plain,(
% 0.12/0.39 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sK50_skl,X0)|~rearsegP(sK47_skl,X0))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f421,f423])).
% 0.12/0.39 fof(f534,plain,(
% 0.12/0.39 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sK50_skl,X0)|~rearsegP(sK49_skl,X0))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f422,f533])).
% 0.12/0.39 fof(f538,plain,(
% 0.12/0.39 $false|sQ9_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f528,f223])).
% 0.12/0.39 fof(f539,plain,(
% 0.12/0.39 sQ9_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f538])).
% 0.12/0.39 fof(f540,plain,(
% 0.12/0.39 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(nil)|~rearsegP(X0,nil)|rearsegP(X0,nil)|~sQ10_spl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f301,f530])).
% 0.12/0.39 fof(f541,plain,(
% 0.12/0.39 ![X0]: (~ssList(X0)|~ssList(sK49_skl)|~ssList(sK49_skl)|~rearsegP(X0,sK49_skl)|rearsegP(X0,sK49_skl))),
% 0.12/0.39 inference(resolution,[status(thm)],[f301,f490])).
% 0.12/0.39 fof(f542,plain,(
% 0.12/0.39 ![X0]: (~ssList(X0)|~ssList(sK50_skl)|~ssList(sK50_skl)|~rearsegP(X0,sK50_skl)|rearsegP(X0,sK50_skl))),
% 0.12/0.39 inference(resolution,[status(thm)],[f301,f489])).
% 0.12/0.39 fof(f545,definition,(
% 0.12/0.39 ![X0]: (sQ11_spl <=> (~ssList(X0)|~rearsegP(X0,nil)|rearsegP(X0,nil)))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f548,plain,(
% 0.12/0.39 sQ11_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f540,f545,f526,f529])).
% 0.12/0.39 fof(f549,definition,(
% 0.12/0.39 ![X0]: (sQ12_spl <=> (~ssList(X0)|~rearsegP(X0,sK49_skl)|rearsegP(X0,sK49_skl)))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f552,plain,(
% 0.12/0.39 sQ12_spl|~sQ7_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f541,f549,f519])).
% 0.12/0.39 fof(f553,definition,(
% 0.12/0.39 ![X0]: (sQ13_spl <=> (~ssList(X0)|~rearsegP(X0,sK50_skl)|rearsegP(X0,sK50_skl)))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f556,definition,(
% 0.12/0.39 sQ14_spl <=> (ssList(sK50_skl))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f558,plain,(
% 0.12/0.39 ~ssList(sK50_skl)|sQ14_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f556])).
% 0.12/0.39 fof(f559,plain,(
% 0.12/0.39 sQ13_spl|~sQ14_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f542,f553,f556])).
% 0.12/0.39 fof(f562,plain,(
% 0.12/0.39 $false|sQ7_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f521,f419])).
% 0.12/0.39 fof(f563,plain,(
% 0.12/0.39 sQ7_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f562])).
% 0.12/0.39 fof(f564,plain,(
% 0.12/0.39 ~ssList(nil)|~ssList(nil)|~rearsegP(nil,nil)|nil=nil|~sQ10_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f303,f530])).
% 0.12/0.39 fof(f565,plain,(
% 0.12/0.39 ~ssList(sK49_skl)|~ssList(sK49_skl)|~rearsegP(sK49_skl,sK49_skl)|sK49_skl=sK49_skl),
% 0.12/0.39 inference(resolution,[status(thm)],[f303,f490])).
% 0.12/0.39 fof(f566,plain,(
% 0.12/0.39 ~ssList(sK50_skl)|~ssList(sK50_skl)|~rearsegP(sK50_skl,sK50_skl)|sK50_skl=sK50_skl),
% 0.12/0.39 inference(resolution,[status(thm)],[f303,f489])).
% 0.12/0.39 fof(f568,definition,(
% 0.12/0.39 sQ15_spl <=> (nil=nil)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f571,plain,(
% 0.12/0.39 ~sQ9_spl|~sQ10_spl|sQ15_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f564,f526,f529,f568])).
% 0.12/0.39 fof(f572,definition,(
% 0.12/0.39 sQ16_spl <=> (rearsegP(sK49_skl,sK49_skl))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f574,plain,(
% 0.12/0.39 ~rearsegP(sK49_skl,sK49_skl)|sQ16_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f572])).
% 0.12/0.39 fof(f575,plain,(
% 0.12/0.39 ~sQ7_spl|~sQ16_spl|sQ8_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f565,f519,f572,f522])).
% 0.12/0.39 fof(f576,definition,(
% 0.12/0.39 sQ17_spl <=> (rearsegP(sK50_skl,sK50_skl))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f578,plain,(
% 0.12/0.39 ~rearsegP(sK50_skl,sK50_skl)|sQ17_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f576])).
% 0.12/0.39 fof(f579,definition,(
% 0.12/0.39 sQ18_spl <=> (sK50_skl=sK50_skl)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f582,plain,(
% 0.12/0.39 ~sQ14_spl|~sQ17_spl|sQ18_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f566,f556,f576,f579])).
% 0.12/0.39 fof(f584,plain,(
% 0.12/0.39 $false|sQ14_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f558,f420])).
% 0.12/0.39 fof(f585,plain,(
% 0.12/0.39 sQ14_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f584])).
% 0.12/0.39 fof(f586,plain,(
% 0.12/0.39 $false|sQ17_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f578,f489])).
% 0.12/0.39 fof(f587,plain,(
% 0.12/0.39 sQ17_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f586])).
% 0.12/0.39 fof(f632,plain,(
% 0.12/0.39 neq(sK50_skl,nil)|sK50_skl=nil),
% 0.12/0.39 inference(resolution,[status(thm)],[f511,f223])).
% 0.12/0.39 fof(f635,plain,(
% 0.12/0.39 sQ4_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f632,f442,f431])).
% 0.12/0.39 fof(f678,plain,(
% 0.12/0.39 sK50_skl=sK49_skl|~sQ1_spl|~sQ0_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f432,f429])).
% 0.12/0.39 fof(f679,plain,(
% 0.12/0.39 $false|sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f678,f486])).
% 0.12/0.39 fof(f680,plain,(
% 0.12/0.39 sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f679])).
% 0.12/0.39 fof(f681,plain,(
% 0.12/0.39 ~nil=sK49_skl|sQ3_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f422,f440])).
% 0.12/0.39 fof(f682,plain,(
% 0.12/0.39 ~ssList(sK49_skl)|~ssList(sK49_skl)|ssList(sK5_skl(sK49_skl,sK49_skl))),
% 0.12/0.39 inference(resolution,[status(thm)],[f122,f504])).
% 0.12/0.39 fof(f683,plain,(
% 0.12/0.39 ~ssList(sK50_skl)|~ssList(sK50_skl)|ssList(sK5_skl(sK50_skl,sK50_skl))),
% 0.12/0.39 inference(resolution,[status(thm)],[f122,f503])).
% 0.12/0.39 fof(f684,definition,(
% 0.12/0.39 sQ32_spl <=> (ssList(sK5_skl(sK49_skl,sK49_skl)))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f687,plain,(
% 0.12/0.39 ~sQ7_spl|sQ32_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f682,f519,f684])).
% 0.12/0.39 fof(f688,definition,(
% 0.12/0.39 sQ33_spl <=> (ssList(sK5_skl(sK50_skl,sK50_skl)))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f691,plain,(
% 0.12/0.39 ~sQ14_spl|sQ33_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f683,f556,f688])).
% 0.12/0.39 fof(f692,plain,(
% 0.12/0.39 ~ssList(sK49_skl)|~ssList(sK49_skl)|app(sK49_skl,sK5_skl(sK49_skl,sK49_skl))=sK49_skl),
% 0.12/0.39 inference(resolution,[status(thm)],[f123,f504])).
% 0.12/0.39 fof(f693,plain,(
% 0.12/0.39 ~ssList(sK50_skl)|~ssList(sK50_skl)|app(sK50_skl,sK5_skl(sK50_skl,sK50_skl))=sK50_skl),
% 0.12/0.39 inference(resolution,[status(thm)],[f123,f503])).
% 0.12/0.39 fof(f694,definition,(
% 0.12/0.39 sQ34_spl <=> (app(sK49_skl,sK5_skl(sK49_skl,sK49_skl))=sK49_skl)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f697,plain,(
% 0.12/0.39 ~sQ7_spl|sQ34_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f692,f519,f694])).
% 0.12/0.39 fof(f698,definition,(
% 0.12/0.39 sQ35_spl <=> (app(sK50_skl,sK5_skl(sK50_skl,sK50_skl))=sK50_skl)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f701,plain,(
% 0.12/0.39 ~sQ14_spl|sQ35_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f693,f556,f698])).
% 0.12/0.39 fof(f712,plain,(
% 0.12/0.39 ~ssList(sK49_skl)|~rearsegP(sK50_skl,sK49_skl)|~rearsegP(sK49_skl,sK49_skl)|~sQ5_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f534,f446])).
% 0.12/0.39 fof(f713,plain,(
% 0.12/0.39 ~sQ7_spl|~sQ6_spl|~sQ16_spl|~sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f712,f519,f449,f572,f445])).
% 0.12/0.39 fof(f714,plain,(
% 0.12/0.39 $false|sQ16_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f574,f490])).
% 0.12/0.39 fof(f715,plain,(
% 0.12/0.39 sQ16_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f714])).
% 0.12/0.39 fof(f716,plain,(
% 0.12/0.39 sQ6_spl|~sQ0_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f509,f449,f428])).
% 0.12/0.39 fof(f717,plain,(
% 0.12/0.39 $false|sQ3_spl|~sQ0_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f429,f681])).
% 0.12/0.39 fof(f718,plain,(
% 0.12/0.39 sQ3_spl|~sQ0_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f717])).
% 0.12/0.39 fof(f719,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(sat_refutation,[status(thm)],[f434,f441,f448,f452,f532,f539,f548,f552,f559,f563,f571,f575,f582,f585,f587,f635,f680,f687,f691,f697,f701,f713,f715,f716,f718])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.060591 seconds
% 0.12/0.42 % CPU time: 0.160387 seconds
% 0.12/0.42 % Total memory used: 66.004 MB
% 0.12/0.42 % Net memory used: 65.892 MB
%------------------------------------------------------------------------------