%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC357+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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:42:15 PM UTC 2026
% Result : Theorem 0.13s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC357+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:13:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.13/0.58 % Refutation found
% 0.13/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.58 fof(f2,axiom,(
% 0.13/0.58 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.13/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f5,axiom,(
% 0.13/0.58 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.13/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f7,axiom,(
% 0.13/0.58 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.13/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f15,axiom,(
% 0.13/0.58 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.13/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f17,axiom,(
% 0.13/0.58 ssList(nil) ),
% 0.13/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f28,axiom,(
% 0.13/0.58 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.13/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f96,conjecture,(
% 0.13/0.58 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| segmentP(V,U)| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) ) )) )) )) )),
% 0.13/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f97,negated_conjecture,(
% 0.13/0.58 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| segmentP(V,U)| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) ) )) )) )) ))),
% 0.13/0.58 inference(negated_conjecture,[status(cth)],[f96])).
% 0.13/0.58 fof(f102,plain,(
% 0.13/0.58 (ssItem(sK0_skl)&(ssItem(sK1_skl)&~sK0_skl=sK1_skl))),
% 0.13/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl)],[f2])).
% 0.13/0.58 fof(f104,plain,(
% 0.13/0.58 ssItem(sK1_skl)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f102])).
% 0.13/0.58 fof(f105,plain,(
% 0.13/0.58 ~sK0_skl=sK1_skl),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f102])).
% 0.13/0.58 fof(f119,plain,(
% 0.13/0.58 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.13/0.58 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/0.58 fof(f120,plain,(
% 0.13/0.58 ![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)))))))),
% 0.13/0.58 inference(NNF_transformation,[status(thm)],[f119])).
% 0.13/0.58 fof(f121,plain,(
% 0.13/0.58 ![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)))))))),
% 0.13/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(W,sK5_skl(V,U))],[f120])).
% 0.13/0.58 fof(f122,plain,(
% 0.13/0.58 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|ssList(sK5_skl(X1,X0)))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f121])).
% 0.13/0.58 fof(f123,plain,(
% 0.13/0.58 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sK5_skl(X1,X0))=X0)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f121])).
% 0.13/0.58 fof(f131,plain,(
% 0.13/0.58 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.13/0.58 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.13/0.58 fof(f132,plain,(
% 0.13/0.58 ![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)))))))))),
% 0.13/0.58 inference(NNF_transformation,[status(thm)],[f131])).
% 0.13/0.58 fof(f133,plain,(
% 0.13/0.58 ![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)))))))))),
% 0.13/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132])).
% 0.13/0.58 fof(f137,plain,(
% 0.13/0.58 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f133])).
% 0.13/0.58 fof(f217,plain,(
% 0.13/0.58 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.13/0.58 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.13/0.58 fof(f218,plain,(
% 0.13/0.58 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.13/0.58 inference(NNF_transformation,[status(thm)],[f217])).
% 0.13/0.58 fof(f219,plain,(
% 0.13/0.58 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f218])).
% 0.13/0.58 fof(f223,plain,(
% 0.13/0.58 ssList(nil)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.58 fof(f248,plain,(
% 0.13/0.58 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.13/0.58 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.13/0.58 fof(f249,plain,(
% 0.13/0.58 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f248])).
% 0.13/0.58 fof(f415,plain,(
% 0.13/0.58 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&neq(V,nil))&~segmentP(V,U))&((nil=X&nil=W)|(neq(W,nil)&frontsegP(X,W))))))))))))),
% 0.13/0.58 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.13/0.58 fof(f416,definition,(
% 0.13/0.58 ![W,X]: (sP0_prd(X,W)<=>(nil=X&nil=W))),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.13/0.58 fof(f417,plain,(
% 0.13/0.58 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&neq(V,nil))&~segmentP(V,U))&(sP0_prd(X,W)|(neq(W,nil)&frontsegP(X,W)))))))))))),
% 0.13/0.58 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.13/0.58 fof(f418,plain,(
% 0.13/0.58 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&neq(sK48_skl,nil))&~segmentP(sK48_skl,sK47_skl))&(sP0_prd(sK50_skl,sK49_skl)|(neq(sK49_skl,nil)&frontsegP(sK50_skl,sK49_skl))))))))),
% 0.13/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl)],[f417])).
% 0.13/0.58 fof(f419,plain,(
% 0.13/0.58 ssList(sK47_skl)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f418])).
% 0.13/0.58 fof(f420,plain,(
% 0.13/0.58 ssList(sK48_skl)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f418])).
% 0.13/0.58 fof(f423,plain,(
% 0.13/0.58 sK48_skl=sK50_skl),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f418])).
% 0.13/0.58 fof(f424,plain,(
% 0.13/0.58 sK47_skl=sK49_skl),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f418])).
% 0.13/0.58 fof(f425,plain,(
% 0.13/0.58 neq(sK48_skl,nil)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f418])).
% 0.13/0.58 fof(f426,plain,(
% 0.13/0.58 ~segmentP(sK48_skl,sK47_skl)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f418])).
% 0.13/0.58 fof(f428,plain,(
% 0.13/0.58 sP0_prd(sK50_skl,sK49_skl)|frontsegP(sK50_skl,sK49_skl)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f418])).
% 0.13/0.58 fof(f429,plain,(
% 0.13/0.58 ![W,X]: ((~sP0_prd(X,W)|(nil=X&nil=W))&(sP0_prd(X,W)|(~nil=X|~nil=W)))),
% 0.13/0.58 inference(NNF_transformation,[status(thm)],[f416])).
% 0.13/0.58 fof(f430,plain,(
% 0.13/0.58 (![W,X]: (~sP0_prd(X,W)|(nil=X&nil=W)))&(![W,X]: (sP0_prd(X,W)|(~nil=X|~nil=W)))),
% 0.13/0.58 inference(miniscoping,[status(thm)],[f429])).
% 0.13/0.58 fof(f431,plain,(
% 0.13/0.58 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f430])).
% 0.13/0.58 fof(f434,definition,(
% 0.13/0.58 sQ0_spl <=> (sP0_prd(sK50_skl,sK49_skl))),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f435,plain,(
% 0.13/0.58 sP0_prd(sK50_skl,sK49_skl)|~sQ0_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f434])).
% 0.13/0.58 fof(f441,definition,(
% 0.13/0.58 sQ2_spl <=> (frontsegP(sK50_skl,sK49_skl))),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f442,plain,(
% 0.13/0.58 frontsegP(sK50_skl,sK49_skl)|~sQ2_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f441])).
% 0.13/0.58 fof(f444,plain,(
% 0.13/0.58 sQ0_spl|sQ2_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f428,f434,f441])).
% 0.13/0.58 fof(f451,plain,(
% 0.13/0.58 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.13/0.58 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.13/0.58 fof(f460,plain,(
% 0.13/0.58 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.13/0.58 inference(destructive_equality_resolution,[status(thm)],[f219])).
% 0.13/0.58 fof(f461,plain,(
% 0.13/0.58 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.13/0.58 inference(duplicate_literals_removal,[status(thm)],[f460])).
% 0.13/0.58 fof(f482,plain,(
% 0.13/0.58 sP0_prd(sK48_skl,sK49_skl)|~sQ0_spl),
% 0.13/0.58 inference(forward_demodulation,[status(thm)],[f423,f435])).
% 0.13/0.58 fof(f483,plain,(
% 0.13/0.58 sP0_prd(sK48_skl,sK47_skl)|~sQ0_spl),
% 0.13/0.58 inference(forward_demodulation,[status(thm)],[f424,f482])).
% 0.13/0.58 fof(f484,plain,(
% 0.13/0.58 nil=sK48_skl|~sQ0_spl),
% 0.13/0.58 inference(resolution,[status(thm)],[f431,f483])).
% 0.13/0.58 fof(f488,plain,(
% 0.13/0.58 neq(nil,nil)|~sQ0_spl),
% 0.13/0.58 inference(backward_demodulation,[status(thm)],[f484,f425])).
% 0.13/0.58 fof(f498,plain,(
% 0.13/0.58 ~ssList(nil)|~sQ0_spl),
% 0.13/0.58 inference(resolution,[status(thm)],[f461,f488])).
% 0.13/0.58 fof(f499,plain,(
% 0.13/0.58 $false|~sQ0_spl),
% 0.13/0.58 inference(forward_subsumption_resolution,[status(thm)],[f498,f223])).
% 0.13/0.58 fof(f500,plain,(
% 0.13/0.58 ~sQ0_spl),
% 0.13/0.58 inference(contradiction_clause,[status(thm)],[f499])).
% 0.13/0.58 fof(f502,plain,(
% 0.13/0.58 frontsegP(sK48_skl,sK49_skl)|~sQ2_spl),
% 0.13/0.58 inference(forward_demodulation,[status(thm)],[f423,f442])).
% 0.13/0.58 fof(f503,plain,(
% 0.13/0.58 frontsegP(sK48_skl,sK47_skl)|~sQ2_spl),
% 0.13/0.58 inference(forward_demodulation,[status(thm)],[f424,f502])).
% 0.13/0.58 fof(f523,plain,(
% 0.13/0.58 ~ssList(sK48_skl)|~ssList(sK47_skl)|app(sK47_skl,sK5_skl(sK47_skl,sK48_skl))=sK48_skl|~sQ2_spl),
% 0.13/0.58 inference(resolution,[status(thm)],[f123,f503])).
% 0.13/0.58 fof(f527,definition,(
% 0.13/0.58 sQ7_spl <=> (ssList(sK48_skl))),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f529,plain,(
% 0.13/0.58 ~ssList(sK48_skl)|sQ7_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f527])).
% 0.13/0.58 fof(f530,definition,(
% 0.13/0.58 sQ8_spl <=> (ssList(sK47_skl))),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f532,plain,(
% 0.13/0.58 ~ssList(sK47_skl)|sQ8_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f530])).
% 0.13/0.58 fof(f533,definition,(
% 0.13/0.58 sQ9_spl <=> (app(sK47_skl,sK5_skl(sK47_skl,sK48_skl))=sK48_skl)),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f534,plain,(
% 0.13/0.58 app(sK47_skl,sK5_skl(sK47_skl,sK48_skl))=sK48_skl|~sQ9_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f533])).
% 0.13/0.58 fof(f536,plain,(
% 0.13/0.58 ~sQ7_spl|~sQ8_spl|sQ9_spl|~sQ2_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f523,f527,f530,f533,f441])).
% 0.13/0.58 fof(f540,definition,(
% 0.13/0.58 sQ11_spl <=> (ssList(nil))),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.59 fof(f542,plain,(
% 0.13/0.59 ~ssList(nil)|sQ11_spl),
% 0.13/0.59 inference(component_clause,[status(thm)],[f540])).
% 0.13/0.59 fof(f547,plain,(
% 0.13/0.59 $false|sQ11_spl),
% 0.13/0.59 inference(forward_subsumption_resolution,[status(thm)],[f542,f223])).
% 0.13/0.59 fof(f548,plain,(
% 0.13/0.59 sQ11_spl),
% 0.13/0.59 inference(contradiction_clause,[status(thm)],[f547])).
% 0.13/0.59 fof(f554,definition,(
% 0.13/0.59 sQ13_spl <=> (ssList(sK5_skl(sK47_skl,sK48_skl)))),
% 0.13/0.59 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.59 fof(f556,plain,(
% 0.13/0.59 ~ssList(sK5_skl(sK47_skl,sK48_skl))|sQ13_spl),
% 0.13/0.59 inference(component_clause,[status(thm)],[f554])).
% 0.13/0.59 fof(f562,plain,(
% 0.13/0.59 $false|sQ8_spl),
% 0.13/0.59 inference(forward_subsumption_resolution,[status(thm)],[f532,f419])).
% 0.13/0.59 fof(f563,plain,(
% 0.13/0.59 sQ8_spl),
% 0.13/0.59 inference(contradiction_clause,[status(thm)],[f562])).
% 0.13/0.59 fof(f564,plain,(
% 0.13/0.59 $false|sQ7_spl),
% 0.13/0.59 inference(forward_subsumption_resolution,[status(thm)],[f529,f420])).
% 0.13/0.59 fof(f565,plain,(
% 0.13/0.59 sQ7_spl),
% 0.13/0.59 inference(contradiction_clause,[status(thm)],[f564])).
% 0.13/0.59 fof(f566,plain,(
% 0.13/0.59 ~ssList(sK48_skl)|~ssList(sK47_skl)|~frontsegP(sK48_skl,sK47_skl)|sQ13_spl),
% 0.13/0.59 inference(resolution,[status(thm)],[f556,f122])).
% 0.13/0.59 fof(f567,definition,(
% 0.13/0.59 sQ15_spl <=> (frontsegP(sK48_skl,sK47_skl))),
% 0.13/0.59 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.59 fof(f569,plain,(
% 0.13/0.59 ~frontsegP(sK48_skl,sK47_skl)|sQ15_spl),
% 0.13/0.59 inference(component_clause,[status(thm)],[f567])).
% 0.13/0.59 fof(f570,plain,(
% 0.13/0.59 ~sQ7_spl|~sQ8_spl|~sQ15_spl|sQ13_spl),
% 0.13/0.59 inference(split_clause,[status(thm)],[f566,f527,f530,f567,f554])).
% 0.13/0.59 fof(f571,plain,(
% 0.13/0.59 $false|~sQ2_spl|sQ15_spl),
% 0.13/0.59 inference(forward_subsumption_resolution,[status(thm)],[f569,f503])).
% 0.13/0.59 fof(f572,plain,(
% 0.13/0.59 ~sQ2_spl|sQ15_spl),
% 0.13/0.59 inference(contradiction_clause,[status(thm)],[f571])).
% 0.13/0.59 fof(f599,definition,(
% 0.13/0.59 sQ19_spl <=> (sK1_skl=sK0_skl)),
% 0.13/0.59 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.59 fof(f600,plain,(
% 0.13/0.59 sK1_skl=sK0_skl|~sQ19_spl),
% 0.13/0.59 inference(component_clause,[status(thm)],[f599])).
% 0.13/0.59 fof(f617,plain,(
% 0.13/0.59 $false|~sQ19_spl),
% 0.13/0.59 inference(forward_subsumption_resolution,[status(thm)],[f600,f105])).
% 0.13/0.60 fof(f618,plain,(
% 0.13/0.60 ~sQ19_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f617])).
% 0.13/0.60 fof(f709,plain,(
% 0.13/0.60 app(nil,sK47_skl)=sK47_skl),
% 0.13/0.60 inference(resolution,[status(thm)],[f249,f419])).
% 0.13/0.60 fof(f828,plain,(
% 0.13/0.60 ![X0]: (~ssList(app(sK47_skl,X0))|~ssList(sK47_skl)|segmentP(app(app(nil,sK47_skl),X0),sK47_skl)|~ssList(nil)|~ssList(X0))),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f709,f451])).
% 0.13/0.60 fof(f838,definition,(
% 0.13/0.60 ![X0]: (sQ46_spl <=> (~ssList(app(sK47_skl,X0))|segmentP(app(app(nil,sK47_skl),X0),sK47_skl)|~ssList(X0)))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f839,plain,(
% 0.13/0.60 ![X0]: (~ssList(app(sK47_skl,X0))|segmentP(app(app(nil,sK47_skl),X0),sK47_skl)|~ssList(X0)|~sQ46_spl)),
% 0.13/0.60 inference(component_clause,[status(thm)],[f838])).
% 0.13/0.60 fof(f841,plain,(
% 0.13/0.60 sQ46_spl|~sQ8_spl|~sQ11_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f828,f838,f530,f540])).
% 0.13/0.60 fof(f847,plain,(
% 0.13/0.60 ![X0]: (~ssList(app(sK47_skl,X0))|segmentP(app(sK47_skl,X0),sK47_skl)|~ssList(X0)|~sQ46_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f709,f839])).
% 0.13/0.60 fof(f2352,definition,(
% 0.13/0.60 sQ256_spl <=> (ssItem(sK1_skl))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f2354,plain,(
% 0.13/0.60 ~ssItem(sK1_skl)|sQ256_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f2352])).
% 0.13/0.60 fof(f2360,plain,(
% 0.13/0.60 $false|sQ256_spl),
% 0.13/0.60 inference(forward_subsumption_resolution,[status(thm)],[f2354,f104])).
% 0.13/0.60 fof(f2361,plain,(
% 0.13/0.60 sQ256_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f2360])).
% 0.13/0.60 fof(f3005,plain,(
% 0.13/0.60 ~ssList(sK48_skl)|segmentP(app(sK47_skl,sK5_skl(sK47_skl,sK48_skl)),sK47_skl)|~ssList(sK5_skl(sK47_skl,sK48_skl))|~sQ46_spl|~sQ9_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f534,f847])).
% 0.13/0.60 fof(f3018,definition,(
% 0.13/0.60 sQ342_spl <=> (segmentP(app(sK47_skl,sK5_skl(sK47_skl,sK48_skl)),sK47_skl))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f3019,plain,(
% 0.13/0.60 segmentP(app(sK47_skl,sK5_skl(sK47_skl,sK48_skl)),sK47_skl)|~sQ342_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f3018])).
% 0.13/0.60 fof(f3021,plain,(
% 0.13/0.60 ~sQ7_spl|sQ342_spl|~sQ13_spl|~sQ46_spl|~sQ9_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f3005,f527,f3018,f554,f838,f533])).
% 0.13/0.60 fof(f3023,plain,(
% 0.13/0.60 segmentP(sK48_skl,sK47_skl)|~sQ9_spl|~sQ342_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f534,f3019])).
% 0.13/0.60 fof(f3024,plain,(
% 0.13/0.60 $false|~sQ9_spl|~sQ342_spl),
% 0.13/0.60 inference(forward_subsumption_resolution,[status(thm)],[f3023,f426])).
% 0.13/0.60 fof(f3025,plain,(
% 0.13/0.60 ~sQ9_spl|~sQ342_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f3024])).
% 0.13/0.60 fof(f3026,plain,(
% 0.13/0.60 $false),
% 0.13/0.60 inference(sat_refutation,[status(thm)],[f444,f500,f536,f548,f563,f565,f570,f572,f618,f841,f2361,f3021,f3025])).
% 0.13/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 1.08/0.61 % Elapsed time: 0.232329 seconds
% 1.08/0.61 % CPU time: 1.475276 seconds
% 1.08/0.61 % Total memory used: 133.641 MB
% 1.08/0.61 % Net memory used: 131.866 MB
%------------------------------------------------------------------------------