%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC039+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 : n012.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 02:41:24 PM UTC 2026
% Result : Theorem 0.07s 10.78s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC039+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/10.49 % Computer : n012.cluster.edu
% 0.04/10.49 % Model : x86_64 x86_64
% 0.04/10.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.49 % Memory : 8046.5625MB
% 0.04/10.49 % OS : Linux 6.8.0-71-generic
% 0.04/10.49 % CPULimit : 300
% 0.04/10.49 % WCLimit : 300
% 0.04/10.49 % DateTime : Mon Sep 21 07:50:36 UTC 2026
% 0.04/10.49 % CPUTime :
% 0.07/10.50 % Drodi V4.1.1
% 0.07/10.78 % Refutation found
% 0.07/10.78 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/10.78 % SZS output start CNFRefutation for theBenchmark
% 0.07/10.78 fof(f7,axiom,(
% 0.07/10.78 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.07/10.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/10.78 fof(f54,axiom,(
% 0.07/10.78 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( segmentP(U,V)& segmentP(V,U) )=> U = V ) ) )) )),
% 0.07/10.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/10.78 fof(f57,axiom,(
% 0.07/10.78 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.07/10.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/10.78 fof(f96,conjecture,(
% 0.07/10.78 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( nil != V| V != X| U != W| nil = U| ( (! [Y] :( ssItem(Y)=> (! [Z] :( ssList(Z)=> (! [X1] :( ssList(X1)=> ( cons(Y,nil) != W| app(app(Z,W),X1) != X| (? [X2] :( ssItem(X2)& memberP(Z,X2)& lt(Y,X2) ))| (? [X3] :( ssItem(X3)& memberP(X1,X3)& lt(X3,Y) ) )) ) )) )))& ( nil != X| nil != W ) ) ) ) )) )) )) )),
% 0.07/10.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/10.79 fof(f97,negated_conjecture,(
% 0.07/10.79 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( nil != V| V != X| U != W| nil = U| ( (! [Y] :( ssItem(Y)=> (! [Z] :( ssList(Z)=> (! [X1] :( ssList(X1)=> ( cons(Y,nil) != W| app(app(Z,W),X1) != X| (? [X2] :( ssItem(X2)& memberP(Z,X2)& lt(Y,X2) ))| (? [X3] :( ssItem(X3)& memberP(X1,X3)& lt(X3,Y) ) )) ) )) )))& ( nil != X| nil != W ) ) ) ) )) )) )) ))),
% 0.07/10.79 inference(negated_conjecture,[status(cth)],[f96])).
% 0.07/10.79 fof(f131,plain,(
% 0.07/10.79 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.07/10.79 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.07/10.79 fof(f132,plain,(
% 0.07/10.79 ![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)))))))))),
% 0.07/10.79 inference(NNF_transformation,[status(thm)],[f131])).
% 0.07/10.79 fof(f133,plain,(
% 0.07/10.79 ![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)))))))))),
% 0.07/10.79 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132])).
% 0.07/10.79 fof(f137,plain,(
% 0.07/10.79 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.07/10.79 inference(cnf_transformation,[status(thm)],[f133])).
% 0.07/10.79 fof(f316,plain,(
% 0.07/10.79 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|~segmentP(V,U))|U=V))))),
% 0.07/10.79 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.07/10.79 fof(f317,plain,(
% 0.07/10.79 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|~segmentP(X1,X0)|X0=X1)),
% 0.07/10.79 inference(cnf_transformation,[status(thm)],[f316])).
% 0.07/10.79 fof(f322,plain,(
% 0.07/10.79 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.07/10.79 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.07/10.79 fof(f323,plain,(
% 0.07/10.79 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.07/10.79 inference(cnf_transformation,[status(thm)],[f322])).
% 0.07/10.79 fof(f415,plain,(
% 0.07/10.79 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((nil=V&V=X)&U=W)&~nil=U)&((?[Y]: (ssItem(Y)&(?[Z]: (ssList(Z)&(?[X1]: (ssList(X1)&(((cons(Y,nil)=W&app(app(Z,W),X1)=X)&(![X2]: ((~ssItem(X2)|~memberP(Z,X2))|~lt(Y,X2))))&(![X3]: ((~ssItem(X3)|~memberP(X1,X3))|~lt(X3,Y))))))))))|(nil=X&nil=W)))))))))))),
% 0.07/10.79 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.07/10.79 fof(f416,definition,(
% 0.07/10.79 ![W,X,Y]: (sP0_prd(Y,X,W)<=>(ssItem(Y)&(?[Z]: (ssList(Z)&(?[X1]: (ssList(X1)&(((cons(Y,nil)=W&app(app(Z,W),X1)=X)&(![X2]: ((~ssItem(X2)|~memberP(Z,X2))|~lt(Y,X2))))&(![X3]: ((~ssItem(X3)|~memberP(X1,X3))|~lt(X3,Y))))))))))),
% 0.07/10.79 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.07/10.79 fof(f417,plain,(
% 0.07/10.79 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((nil=V&V=X)&U=W)&~nil=U)&((?[Y]: sP0_prd(Y,X,W))|(nil=X&nil=W))))))))))),
% 0.07/10.79 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.07/10.79 fof(f418,plain,(
% 0.07/10.79 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((((nil=sK48_skl&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&~nil=sK47_skl)&(sP0_prd(sK51_skl,sK50_skl,sK49_skl)|(nil=sK50_skl&nil=sK49_skl)))))))),
% 0.07/10.79 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Y,sK51_skl)],[f417])).
% 0.07/10.79 fof(f419,plain,(
% 0.07/10.79 ssList(sK47_skl)),
% 0.07/10.79 inference(cnf_transformation,[status(thm)],[f418])).
% 0.07/10.79 fof(f420,plain,(
% 0.07/10.79 ssList(sK48_skl)),
% 0.07/10.79 inference(cnf_transformation,[status(thm)],[f418])).
% 0.07/10.79 fof(f423,plain,(
% 0.07/10.79 nil=sK48_skl),
% 0.07/10.79 inference(cnf_transformation,[status(thm)],[f418])).
% 0.07/10.79 fof(f424,plain,(
% 0.07/10.79 sK48_skl=sK50_skl),
% 0.07/10.79 inference(cnf_transformation,[status(thm)],[f418])).
% 0.07/10.79 fof(f425,plain,(
% 0.07/10.79 sK47_skl=sK49_skl),
% 0.07/10.79 inference(cnf_transformation,[status(thm)],[f418])).
% 0.07/10.79 fof(f426,plain,(
% 0.07/10.79 ~nil=sK47_skl),
% 0.07/10.79 inference(cnf_transformation,[status(thm)],[f418])).
% 0.07/10.79 fof(f428,plain,(
% 0.07/10.79 sP0_prd(sK51_skl,sK50_skl,sK49_skl)|nil=sK49_skl),
% 0.07/10.79 inference(cnf_transformation,[status(thm)],[f418])).
% 0.07/10.79 fof(f429,definition,(
% 0.07/10.79 ![Y,Z,X2]: (sP1_prd(X2,Z,Y)<=>((~ssItem(X2)|~memberP(Z,X2))|~lt(Y,X2)))),
% 0.07/10.79 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.07/10.79 fof(f430,plain,(
% 0.07/10.79 ![W,X,Y]: (sP0_prd(Y,X,W)<=>(ssItem(Y)&(?[Z]: (ssList(Z)&(?[X1]: (ssList(X1)&(((cons(Y,nil)=W&app(app(Z,W),X1)=X)&(![X2]: sP1_prd(X2,Z,Y)))&(![X3]: ((~ssItem(X3)|~memberP(X1,X3))|~lt(X3,Y))))))))))),
% 0.07/10.79 inference(formula_renaming,[status(thm)],[f416,f429])).
% 0.07/10.79 fof(f431,plain,(
% 0.07/10.79 ![W,X,Y]: ((~sP0_prd(Y,X,W)|(ssItem(Y)&(?[Z]: (ssList(Z)&(?[X1]: (ssList(X1)&(((cons(Y,nil)=W&app(app(Z,W),X1)=X)&(![X2]: sP1_prd(X2,Z,Y)))&(![X3]: ((~ssItem(X3)|~memberP(X1,X3))|~lt(X3,Y))))))))))&(sP0_prd(Y,X,W)|(~ssItem(Y)|(![Z]: (~ssList(Z)|(![X1]: (~ssList(X1)|(((~cons(Y,nil)=W|~app(app(Z,W),X1)=X)|(?[X2]: ~sP1_prd(X2,Z,Y)))|(?[X3]: ((ssItem(X3)&memberP(X1,X3))<(X3,Y)))))))))))),
% 0.07/10.79 inference(NNF_transformation,[status(thm)],[f430])).
% 0.07/10.79 fof(f432,plain,(
% 0.07/10.79 (![W,X,Y]: (~sP0_prd(Y,X,W)|(ssItem(Y)&(?[Z]: (ssList(Z)&(?[X1]: (ssList(X1)&(((cons(Y,nil)=W&app(app(Z,W),X1)=X)&(![X2]: sP1_prd(X2,Z,Y)))&(![X3]: ((~ssItem(X3)|~memberP(X1,X3))|~lt(X3,Y)))))))))))&(![W,X,Y]: (sP0_prd(Y,X,W)|(~ssItem(Y)|(![Z]: (~ssList(Z)|(![X1]: (~ssList(X1)|(((~cons(Y,nil)=W|~app(app(Z,W),X1)=X)|(?[X2]: ~sP1_prd(X2,Z,Y)))|(?[X3]: ((ssItem(X3)&memberP(X1,X3))<(X3,Y)))))))))))),
% 0.07/10.79 inference(miniscoping,[status(thm)],[f431])).
% 0.07/10.79 fof(f433,plain,(
% 0.07/10.79 (![W,X,Y]: (~sP0_prd(Y,X,W)|(ssItem(Y)&(ssList(sK52_skl(Y,X,W))&(ssList(sK53_skl(Y,X,W))&(((cons(Y,nil)=W&app(app(sK52_skl(Y,X,W),W),sK53_skl(Y,X,W))=X)&(![X2]: sP1_prd(X2,sK52_skl(Y,X,W),Y)))&(![X3]: ((~ssItem(X3)|~memberP(sK53_skl(Y,X,W),X3))|~lt(X3,Y)))))))))&(![W,X,Y]: (sP0_prd(Y,X,W)|(~ssItem(Y)|(![Z]: (~ssList(Z)|(![X1]: (~ssList(X1)|(((~cons(Y,nil)=W|~app(app(Z,W),X1)=X)|~sP1_prd(sK54_skl(X1,Z,Y,X,W),Z,Y))|((ssItem(sK55_skl(X1,Z,Y,X,W))&memberP(X1,sK55_skl(X1,Z,Y,X,W)))<(sK55_skl(X1,Z,Y,X,W),Y))))))))))),
% 0.07/10.79 inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl,sK53_skl,sK54_skl,sK55_skl]),skolemize(Z,sK52_skl(Y,X,W)),skolemize(X1,sK53_skl(Y,X,W)),skolemize(X2,sK54_skl(X1,Z,Y,X,W)),skolemize(X3,sK55_skl(X1,Z,Y,X,W))],[f432])).
% 0.07/10.79 fof(f435,plain,(
% 0.07/10.79 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|ssList(sK52_skl(X0,X1,X2)))),
% 0.07/10.79 inference(cnf_transformation,[status(thm)],[f433])).
% 0.07/10.79 fof(f436,plain,(
% 0.07/10.79 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|ssList(sK53_skl(X0,X1,X2)))),
% 0.07/10.79 inference(cnf_transformation,[status(thm)],[f433])).
% 0.07/10.79 fof(f438,plain,(
% 0.07/10.79 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|app(app(sK52_skl(X0,X1,X2),X2),sK53_skl(X0,X1,X2))=X1)),
% 0.07/10.79 inference(cnf_transformation,[status(thm)],[f433])).
% 0.07/10.79 fof(f450,definition,(
% 0.07/10.79 sQ0_spl <=> (sP0_prd(sK51_skl,sK50_skl,sK49_skl))),
% 0.07/10.79 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.07/10.79 fof(f451,plain,(
% 0.07/10.79 sP0_prd(sK51_skl,sK50_skl,sK49_skl)|~sQ0_spl),
% 0.07/10.79 inference(component_clause,[status(thm)],[f450])).
% 0.07/10.79 fof(f457,definition,(
% 0.07/10.79 sQ2_spl <=> (nil=sK49_skl)),
% 0.07/10.79 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.07/10.79 fof(f458,plain,(
% 0.07/10.79 nil=sK49_skl|~sQ2_spl),
% 0.07/10.79 inference(component_clause,[status(thm)],[f457])).
% 0.07/10.79 fof(f460,plain,(
% 0.07/10.79 sQ0_spl|sQ2_spl),
% 0.07/10.79 inference(split_clause,[status(thm)],[f428,f450,f457])).
% 0.07/10.79 fof(f467,plain,(
% 0.07/10.79 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.07/10.79 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.07/10.79 fof(f511,plain,(
% 0.07/10.79 ~sK48_skl=sK47_skl),
% 0.07/10.79 inference(forward_demodulation,[status(thm)],[f423,f426])).
% 0.07/10.79 fof(f524,plain,(
% 0.07/10.79 sP0_prd(sK51_skl,sK48_skl,sK49_skl)|~sQ0_spl),
% 0.07/10.79 inference(forward_demodulation,[status(thm)],[f424,f451])).
% 0.07/10.79 fof(f525,plain,(
% 0.07/10.79 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|~sQ0_spl),
% 0.07/10.79 inference(forward_demodulation,[status(thm)],[f425,f524])).
% 0.07/10.79 fof(f526,plain,(
% 0.07/10.79 ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl))|~sQ0_spl),
% 0.07/10.79 inference(resolution,[status(thm)],[f525,f435])).
% 0.07/10.79 fof(f538,plain,(
% 0.07/10.79 ssList(sK53_skl(sK51_skl,sK48_skl,sK47_skl))|~sQ0_spl),
% 0.07/10.79 inference(resolution,[status(thm)],[f436,f525])).
% 0.07/10.79 fof(f552,definition,(
% 0.07/10.79 sQ3_spl <=> (ssList(sK47_skl))),
% 0.07/10.79 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.07/10.79 fof(f554,plain,(
% 0.07/10.79 ~ssList(sK47_skl)|sQ3_spl),
% 0.07/10.79 inference(component_clause,[status(thm)],[f552])).
% 0.07/10.79 fof(f565,definition,(
% 0.07/10.79 sQ7_spl <=> (ssList(sK48_skl))),
% 0.07/10.79 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.07/10.79 fof(f567,plain,(
% 0.07/10.79 ~ssList(sK48_skl)|sQ7_spl),
% 0.07/10.79 inference(component_clause,[status(thm)],[f565])).
% 0.07/10.79 fof(f570,plain,(
% 0.07/10.79 sK48_skl=sK49_skl|~sQ2_spl),
% 0.07/10.79 inference(forward_demodulation,[status(thm)],[f423,f458])).
% 0.07/10.79 fof(f571,plain,(
% 0.07/10.79 sK48_skl=sK47_skl|~sQ2_spl),
% 0.07/10.79 inference(forward_demodulation,[status(thm)],[f425,f570])).
% 0.07/10.79 fof(f572,plain,(
% 0.07/10.79 $false|~sQ2_spl),
% 0.07/10.79 inference(forward_subsumption_resolution,[status(thm)],[f571,f511])).
% 0.07/10.79 fof(f573,plain,(
% 0.07/10.79 ~sQ2_spl),
% 0.07/10.79 inference(contradiction_clause,[status(thm)],[f572])).
% 0.07/10.79 fof(f586,plain,(
% 0.07/10.79 $false|sQ7_spl),
% 0.07/10.79 inference(forward_subsumption_resolution,[status(thm)],[f567,f420])).
% 0.07/10.79 fof(f587,plain,(
% 0.07/10.79 sQ7_spl),
% 0.07/10.79 inference(contradiction_clause,[status(thm)],[f586])).
% 0.07/10.79 fof(f588,plain,(
% 0.07/10.79 $false|sQ3_spl),
% 0.07/10.79 inference(forward_subsumption_resolution,[status(thm)],[f554,f419])).
% 0.07/10.79 fof(f589,plain,(
% 0.07/10.79 sQ3_spl),
% 0.07/10.79 inference(contradiction_clause,[status(thm)],[f588])).
% 0.07/10.79 fof(f608,plain,(
% 0.07/10.79 app(app(sK52_skl(sK51_skl,sK48_skl,sK47_skl),sK47_skl),sK53_skl(sK51_skl,sK48_skl,sK47_skl))=sK48_skl|~sQ0_spl),
% 0.07/10.79 inference(resolution,[status(thm)],[f525,f438])).
% 0.07/10.79 fof(f1366,definition,(
% 0.07/10.79 sQ134_spl <=> (sK48_skl=sK47_skl)),
% 0.07/10.79 introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition])).
% 0.07/10.79 fof(f1367,plain,(
% 0.07/10.79 sK48_skl=sK47_skl|~sQ134_spl),
% 0.07/10.79 inference(component_clause,[status(thm)],[f1366])).
% 0.07/10.79 fof(f1857,plain,(
% 0.07/10.79 ![X0]: (~ssList(X0)|segmentP(X0,sK48_skl))),
% 0.07/10.79 inference(forward_demodulation,[status(thm)],[f423,f323])).
% 0.07/10.79 fof(f1867,plain,(
% 0.07/10.79 segmentP(sK47_skl,sK48_skl)),
% 0.07/10.79 inference(resolution,[status(thm)],[f1857,f419])).
% 0.07/10.79 fof(f3333,plain,(
% 0.07/10.79 $false|~sQ134_spl),
% 0.07/10.79 inference(forward_subsumption_resolution,[status(thm)],[f1367,f511])).
% 0.07/10.79 fof(f3334,plain,(
% 0.07/10.79 ~sQ134_spl),
% 0.07/10.79 inference(contradiction_clause,[status(thm)],[f3333])).
% 0.07/10.79 fof(f5982,plain,(
% 0.07/10.79 ~ssList(sK48_skl)|~ssList(sK47_skl)|segmentP(app(app(sK52_skl(sK51_skl,sK48_skl,sK47_skl),sK47_skl),sK53_skl(sK51_skl,sK48_skl,sK47_skl)),sK47_skl)|~ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl))|~ssList(sK53_skl(sK51_skl,sK48_skl,sK47_skl))|~sQ0_spl),
% 0.07/10.79 inference(paramodulation,[status(thm)],[f608,f467])).
% 0.07/10.79 fof(f5985,definition,(
% 0.07/10.79 sQ983_spl <=> (segmentP(app(app(sK52_skl(sK51_skl,sK48_skl,sK47_skl),sK47_skl),sK53_skl(sK51_skl,sK48_skl,sK47_skl)),sK47_skl))),
% 0.07/10.79 introduced(definition,[new_symbols(definition,[sQ983_spl])],[split_symbol_definition])).
% 0.07/10.79 fof(f5986,plain,(
% 0.07/10.79 segmentP(app(app(sK52_skl(sK51_skl,sK48_skl,sK47_skl),sK47_skl),sK53_skl(sK51_skl,sK48_skl,sK47_skl)),sK47_skl)|~sQ983_spl),
% 0.07/10.79 inference(component_clause,[status(thm)],[f5985])).
% 0.07/10.79 fof(f5988,definition,(
% 0.07/10.79 sQ984_spl <=> (ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl)))),
% 0.07/10.79 introduced(definition,[new_symbols(definition,[sQ984_spl])],[split_symbol_definition])).
% 0.07/10.79 fof(f5990,plain,(
% 0.07/10.79 ~ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl))|sQ984_spl),
% 0.07/10.79 inference(component_clause,[status(thm)],[f5988])).
% 0.07/10.79 fof(f5991,definition,(
% 0.07/10.79 sQ985_spl <=> (ssList(sK53_skl(sK51_skl,sK48_skl,sK47_skl)))),
% 0.07/10.79 introduced(definition,[new_symbols(definition,[sQ985_spl])],[split_symbol_definition])).
% 0.07/10.79 fof(f5993,plain,(
% 0.07/10.79 ~ssList(sK53_skl(sK51_skl,sK48_skl,sK47_skl))|sQ985_spl),
% 0.07/10.79 inference(component_clause,[status(thm)],[f5991])).
% 0.07/10.79 fof(f5994,plain,(
% 0.07/10.79 ~sQ7_spl|~sQ3_spl|sQ983_spl|~sQ984_spl|~sQ985_spl|~sQ0_spl),
% 0.07/10.79 inference(split_clause,[status(thm)],[f5982,f565,f552,f5985,f5988,f5991,f450])).
% 0.07/10.79 fof(f6006,plain,(
% 0.07/10.79 $false|~sQ0_spl|sQ985_spl),
% 0.07/10.79 inference(forward_subsumption_resolution,[status(thm)],[f5993,f538])).
% 0.07/10.79 fof(f6007,plain,(
% 0.07/10.79 ~sQ0_spl|sQ985_spl),
% 0.07/10.79 inference(contradiction_clause,[status(thm)],[f6006])).
% 0.07/10.79 fof(f6008,plain,(
% 0.07/10.79 segmentP(sK48_skl,sK47_skl)|~sQ0_spl|~sQ983_spl),
% 0.07/10.79 inference(forward_demodulation,[status(thm)],[f608,f5986])).
% 0.07/10.79 fof(f6670,plain,(
% 0.07/10.79 $false|~sQ0_spl|sQ984_spl),
% 0.07/10.79 inference(forward_subsumption_resolution,[status(thm)],[f5990,f526])).
% 0.07/10.79 fof(f6671,plain,(
% 0.07/10.79 ~sQ0_spl|sQ984_spl),
% 0.07/10.79 inference(contradiction_clause,[status(thm)],[f6670])).
% 0.07/10.79 fof(f10078,plain,(
% 0.07/10.79 ~ssList(sK48_skl)|~ssList(sK47_skl)|~segmentP(sK47_skl,sK48_skl)|sK48_skl=sK47_skl|~sQ0_spl|~sQ983_spl),
% 0.07/10.79 inference(resolution,[status(thm)],[f317,f6008])).
% 0.07/10.79 fof(f10088,definition,(
% 0.07/10.79 sQ1628_spl <=> (segmentP(sK47_skl,sK48_skl))),
% 0.07/10.79 introduced(definition,[new_symbols(definition,[sQ1628_spl])],[split_symbol_definition])).
% 0.07/10.79 fof(f10090,plain,(
% 0.07/10.79 ~segmentP(sK47_skl,sK48_skl)|sQ1628_spl),
% 0.07/10.79 inference(component_clause,[status(thm)],[f10088])).
% 0.07/10.79 fof(f10091,plain,(
% 0.07/10.79 ~sQ7_spl|~sQ3_spl|~sQ1628_spl|sQ134_spl|~sQ0_spl|~sQ983_spl),
% 0.07/10.79 inference(split_clause,[status(thm)],[f10078,f565,f552,f10088,f1366,f450,f5985])).
% 0.07/10.79 fof(f10096,plain,(
% 0.07/10.79 $false|sQ1628_spl),
% 0.07/10.79 inference(forward_subsumption_resolution,[status(thm)],[f10090,f1867])).
% 0.07/10.79 fof(f10097,plain,(
% 0.07/10.79 sQ1628_spl),
% 0.07/10.79 inference(contradiction_clause,[status(thm)],[f10096])).
% 0.07/10.79 fof(f10098,plain,(
% 0.07/10.79 $false),
% 0.07/10.79 inference(sat_refutation,[status(thm)],[f460,f573,f587,f589,f3334,f5994,f6007,f6671,f10091,f10097])).
% 0.07/10.79 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/10.81 % Elapsed time: 0.298215 seconds
% 0.07/10.81 % CPU time: 2.172114 seconds
% 0.07/10.81 % Total memory used: 163.903 MB
% 0.07/10.81 % Net memory used: 159.853 MB
%------------------------------------------------------------------------------