%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC330+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 : n003.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 02:42:10 PM UTC 2026
% Result : Theorem 282.53s 36.20s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC330+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n003.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 08:17:30 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 282.53/36.20 % Refutation found
% 282.53/36.20 % SZS status Theorem for theBenchmark: Theorem is valid
% 282.53/36.20 % SZS output start CNFRefutation for theBenchmark
% 282.53/36.20 fof(f7,axiom,(
% 282.53/36.20 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 282.53/36.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 282.53/36.20 fof(f17,axiom,(
% 282.53/36.20 ssList(nil) ),
% 282.53/36.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 282.53/36.20 fof(f26,axiom,(
% 282.53/36.20 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 282.53/36.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 282.53/36.20 fof(f28,axiom,(
% 282.53/36.20 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 282.53/36.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 282.53/36.20 fof(f73,axiom,(
% 282.53/36.20 (! [U] :( ssItem(U)=> equalelemsP(cons(U,nil)) ) )),
% 282.53/36.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 282.53/36.20 fof(f74,axiom,(
% 282.53/36.20 equalelemsP(nil) ),
% 282.53/36.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 282.53/36.20 fof(f84,axiom,(
% 282.53/36.20 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 282.53/36.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 282.53/36.20 fof(f96,conjecture,(
% 282.53/36.20 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( (! [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 ) )| ( segmentP(V,U)& equalelemsP(U) ) ) )) )) )) )),
% 282.53/36.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 282.53/36.20 fof(f97,negated_conjecture,(
% 282.53/36.20 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( (! [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 ) )| ( segmentP(V,U)& equalelemsP(U) ) ) )) )) )) ))),
% 282.53/36.20 inference(negated_conjecture,[status(cth)],[f96])).
% 282.53/36.20 fof(f131,plain,(
% 282.53/36.20 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 282.53/36.20 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 282.53/36.20 fof(f132,plain,(
% 282.53/36.20 ![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)))))))))),
% 282.53/36.20 inference(NNF_transformation,[status(thm)],[f131])).
% 282.53/36.20 fof(f133,plain,(
% 282.53/36.20 ![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)))))))))),
% 282.53/36.20 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132])).
% 282.53/36.20 fof(f137,plain,(
% 282.53/36.20 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f133])).
% 282.53/36.20 fof(f223,plain,(
% 282.53/36.20 ssList(nil)),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f17])).
% 282.53/36.20 fof(f244,plain,(
% 282.53/36.20 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 282.53/36.20 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 282.53/36.20 fof(f245,plain,(
% 282.53/36.20 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f244])).
% 282.53/36.20 fof(f248,plain,(
% 282.53/36.20 ![U]: (~ssList(U)|app(nil,U)=U)),
% 282.53/36.20 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 282.53/36.20 fof(f249,plain,(
% 282.53/36.20 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f248])).
% 282.53/36.20 fof(f360,plain,(
% 282.53/36.20 ![U]: (~ssItem(U)|equalelemsP(cons(U,nil)))),
% 282.53/36.20 inference(pre_NNF_transformation,[status(thm)],[f73])).
% 282.53/36.20 fof(f361,plain,(
% 282.53/36.20 ![X0]: (~ssItem(X0)|equalelemsP(cons(X0,nil)))),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f360])).
% 282.53/36.20 fof(f362,plain,(
% 282.53/36.20 equalelemsP(nil)),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f74])).
% 282.53/36.20 fof(f388,plain,(
% 282.53/36.20 ![U]: (~ssList(U)|app(U,nil)=U)),
% 282.53/36.20 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 282.53/36.20 fof(f389,plain,(
% 282.53/36.20 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f388])).
% 282.53/36.20 fof(f415,plain,(
% 282.53/36.20 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&((?[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)))&(~segmentP(V,U)|~equalelemsP(U))))))))))),
% 282.53/36.20 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 282.53/36.20 fof(f416,definition,(
% 282.53/36.20 ![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)))))))))),
% 282.53/36.20 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 282.53/36.20 fof(f417,plain,(
% 282.53/36.20 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&((?[Y]: sP0_prd(Y,X,W))|(nil=X&nil=W)))&(~segmentP(V,U)|~equalelemsP(U)))))))))),
% 282.53/36.20 inference(formula_renaming,[status(thm)],[f415,f416])).
% 282.53/36.20 fof(f418,plain,(
% 282.53/36.20 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&((?[X]: (((ssList(X)&V=X)&U=W)&((?[Y]: sP0_prd(Y,X,W))|(nil=X&nil=W))))&(~segmentP(V,U)|~equalelemsP(U))))))))),
% 282.53/36.20 inference(miniscoping,[status(thm)],[f417])).
% 282.53/36.20 fof(f419,plain,(
% 282.53/36.20 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&((((ssList(sK50_skl)&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&(sP0_prd(sK51_skl,sK50_skl,sK49_skl)|(nil=sK50_skl&nil=sK49_skl)))&(~segmentP(sK48_skl,sK47_skl)|~equalelemsP(sK47_skl))))))),
% 282.53/36.20 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)],[f418])).
% 282.53/36.20 fof(f420,plain,(
% 282.53/36.20 ssList(sK47_skl)),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f419])).
% 282.53/36.20 fof(f421,plain,(
% 282.53/36.20 ssList(sK48_skl)),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f419])).
% 282.53/36.20 fof(f424,plain,(
% 282.53/36.20 sK48_skl=sK50_skl),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f419])).
% 282.53/36.20 fof(f425,plain,(
% 282.53/36.20 sK47_skl=sK49_skl),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f419])).
% 282.53/36.20 fof(f426,plain,(
% 282.53/36.20 sP0_prd(sK51_skl,sK50_skl,sK49_skl)|nil=sK50_skl),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f419])).
% 282.53/36.20 fof(f427,plain,(
% 282.53/36.20 sP0_prd(sK51_skl,sK50_skl,sK49_skl)|nil=sK49_skl),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f419])).
% 282.53/36.20 fof(f428,plain,(
% 282.53/36.20 ~segmentP(sK48_skl,sK47_skl)|~equalelemsP(sK47_skl)),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f419])).
% 282.53/36.20 fof(f429,definition,(
% 282.53/36.20 ![Y,Z,X2]: (sP1_prd(X2,Z,Y)<=>((~ssItem(X2)|~memberP(Z,X2))|~lt(Y,X2)))),
% 282.53/36.20 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 282.53/36.20 fof(f430,plain,(
% 282.53/36.20 ![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)))))))))),
% 282.53/36.20 inference(formula_renaming,[status(thm)],[f416,f429])).
% 282.53/36.20 fof(f431,plain,(
% 282.53/36.20 ![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))))))))))),
% 282.53/36.20 inference(NNF_transformation,[status(thm)],[f430])).
% 282.53/36.20 fof(f432,plain,(
% 282.53/36.20 (![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))))))))))),
% 282.53/36.20 inference(miniscoping,[status(thm)],[f431])).
% 282.53/36.20 fof(f433,plain,(
% 282.53/36.20 (![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)))))))))),
% 282.53/36.20 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])).
% 282.53/36.20 fof(f434,plain,(
% 282.53/36.20 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|ssItem(X0))),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f433])).
% 282.53/36.20 fof(f435,plain,(
% 282.53/36.20 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|ssList(sK52_skl(X0,X1,X2)))),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f433])).
% 282.53/36.20 fof(f436,plain,(
% 282.53/36.20 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|ssList(sK53_skl(X0,X1,X2)))),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f433])).
% 282.53/36.20 fof(f437,plain,(
% 282.53/36.20 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|cons(X0,nil)=X2)),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f433])).
% 282.53/36.20 fof(f438,plain,(
% 282.53/36.20 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|app(app(sK52_skl(X0,X1,X2),X2),sK53_skl(X0,X1,X2))=X1)),
% 282.53/36.20 inference(cnf_transformation,[status(thm)],[f433])).
% 282.53/36.20 fof(f456,plain,(
% 282.53/36.20 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 282.53/36.20 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 282.53/36.20 fof(f500,plain,(
% 282.53/36.20 sP0_prd(sK51_skl,sK48_skl,sK49_skl)|nil=sK50_skl),
% 282.53/36.20 inference(forward_demodulation,[status(thm)],[f424,f426])).
% 282.53/36.20 fof(f501,plain,(
% 282.53/36.20 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|nil=sK50_skl),
% 282.53/36.20 inference(forward_demodulation,[status(thm)],[f425,f500])).
% 282.53/36.20 fof(f502,plain,(
% 282.53/36.20 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|nil=sK48_skl),
% 282.53/36.20 inference(forward_demodulation,[status(thm)],[f424,f501])).
% 282.53/36.20 fof(f503,plain,(
% 282.53/36.20 nil=sK48_skl|ssItem(sK51_skl)),
% 282.53/36.20 inference(resolution,[status(thm)],[f502,f434])).
% 282.53/36.20 fof(f504,plain,(
% 282.53/36.20 sP0_prd(sK51_skl,sK48_skl,sK49_skl)|nil=sK49_skl),
% 282.53/36.20 inference(forward_demodulation,[status(thm)],[f424,f427])).
% 282.53/36.20 fof(f505,plain,(
% 282.53/36.20 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|nil=sK49_skl),
% 282.53/36.20 inference(forward_demodulation,[status(thm)],[f425,f504])).
% 282.53/36.20 fof(f506,plain,(
% 282.53/36.20 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|nil=sK47_skl),
% 282.53/36.20 inference(forward_demodulation,[status(thm)],[f425,f505])).
% 282.53/36.20 fof(f507,plain,(
% 282.53/36.20 nil=sK47_skl|ssItem(sK51_skl)),
% 282.53/36.20 inference(resolution,[status(thm)],[f506,f434])).
% 282.53/36.20 fof(f509,plain,(
% 282.53/36.20 ![X0,X1,X2]: (~ssList(app(X0,X1))|~ssList(X2)|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 282.53/36.20 inference(resolution,[status(thm)],[f245,f456])).
% 282.53/36.20 fof(f511,plain,(
% 282.53/36.20 ![X0,X1,X2]: (~ssList(app(X0,X1))|~ssList(X2)|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0))),
% 282.53/36.20 inference(duplicate_literals_removal,[status(thm)],[f509])).
% 282.53/36.20 fof(f512,plain,(
% 282.53/36.20 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|segmentP(app(app(X2,X1),X0),X1)|~ssList(X2))),
% 282.53/36.20 inference(forward_subsumption_resolution,[status(thm)],[f511,f245])).
% 282.53/36.20 fof(f525,plain,(
% 282.53/36.20 app(nil,sK48_skl)=sK48_skl),
% 282.53/36.20 inference(resolution,[status(thm)],[f249,f421])).
% 282.53/36.20 fof(f566,plain,(
% 282.53/36.20 cons(sK51_skl,nil)=sK47_skl|nil=sK47_skl),
% 282.53/36.20 inference(resolution,[status(thm)],[f437,f506])).
% 282.53/36.20 fof(f567,plain,(
% 282.53/36.20 cons(sK51_skl,nil)=sK47_skl|nil=sK48_skl),
% 282.53/36.20 inference(resolution,[status(thm)],[f437,f502])).
% 282.53/36.20 fof(f615,plain,(
% 282.53/36.20 app(app(sK52_skl(sK51_skl,sK48_skl,sK47_skl),sK47_skl),sK53_skl(sK51_skl,sK48_skl,sK47_skl))=sK48_skl|nil=sK47_skl),
% 282.53/36.20 inference(resolution,[status(thm)],[f438,f506])).
% 282.53/36.20 fof(f616,plain,(
% 282.53/36.20 app(app(sK52_skl(sK51_skl,sK48_skl,sK47_skl),sK47_skl),sK53_skl(sK51_skl,sK48_skl,sK47_skl))=sK48_skl|nil=sK48_skl),
% 282.53/36.20 inference(resolution,[status(thm)],[f438,f502])).
% 282.53/36.20 fof(f638,plain,(
% 282.53/36.20 app(sK48_skl,nil)=sK48_skl),
% 282.53/36.20 inference(resolution,[status(thm)],[f389,f421])).
% 282.53/36.20 fof(f1054,plain,(
% 282.53/36.20 ~ssItem(sK51_skl)|equalelemsP(sK47_skl)|nil=sK47_skl),
% 282.53/36.20 inference(paramodulation,[status(thm)],[f566,f361])).
% 282.53/36.20 fof(f1075,plain,(
% 282.53/36.20 equalelemsP(sK47_skl)|nil=sK47_skl),
% 282.53/36.20 inference(forward_subsumption_resolution,[status(thm)],[f1054,f507])).
% 282.53/36.20 fof(f1093,plain,(
% 282.53/36.20 nil=sK47_skl|~segmentP(sK48_skl,sK47_skl)),
% 282.53/36.20 inference(resolution,[status(thm)],[f1075,f428])).
% 282.53/36.20 fof(f1205,plain,(
% 282.53/36.20 ~ssItem(sK51_skl)|equalelemsP(sK47_skl)|nil=sK48_skl),
% 282.53/36.20 inference(paramodulation,[status(thm)],[f567,f361])).
% 282.53/36.20 fof(f1228,plain,(
% 282.53/36.20 equalelemsP(sK47_skl)|nil=sK48_skl),
% 282.53/36.20 inference(forward_subsumption_resolution,[status(thm)],[f1205,f503])).
% 282.53/36.20 fof(f1246,plain,(
% 282.53/36.20 nil=sK48_skl|~segmentP(sK48_skl,sK47_skl)),
% 282.53/36.20 inference(resolution,[status(thm)],[f1228,f428])).
% 282.53/36.20 fof(f1416,plain,(
% 282.53/36.20 ~ssList(sK53_skl(sK51_skl,sK48_skl,sK47_skl))|~ssList(sK47_skl)|segmentP(sK48_skl,sK47_skl)|~ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl))|nil=sK48_skl),
% 282.53/36.20 inference(paramodulation,[status(thm)],[f616,f512])).
% 282.53/36.20 fof(f1417,plain,(
% 282.53/36.20 ~ssList(sK53_skl(sK51_skl,sK48_skl,sK47_skl))|~ssList(sK47_skl)|segmentP(sK48_skl,sK47_skl)|~ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl))|nil=sK47_skl),
% 282.53/36.20 inference(paramodulation,[status(thm)],[f615,f512])).
% 282.53/36.20 fof(f1423,plain,(
% 282.53/36.20 ![X0]: (~ssList(X0)|~ssList(sK48_skl)|segmentP(app(sK48_skl,X0),sK48_skl)|~ssList(nil))),
% 282.53/36.20 inference(paramodulation,[status(thm)],[f525,f512])).
% 282.53/36.20 fof(f1428,plain,(
% 282.53/36.20 ~ssList(sK53_skl(sK51_skl,sK48_skl,sK47_skl))|segmentP(sK48_skl,sK47_skl)|~ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl))|nil=sK48_skl),
% 282.53/36.20 inference(forward_subsumption_resolution,[status(thm)],[f1416,f420])).
% 282.53/36.20 fof(f1429,plain,(
% 282.53/36.20 ~ssList(sK53_skl(sK51_skl,sK48_skl,sK47_skl))|segmentP(sK48_skl,sK47_skl)|~ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl))|nil=sK47_skl),
% 282.53/36.20 inference(forward_subsumption_resolution,[status(thm)],[f1417,f420])).
% 282.53/36.20 fof(f1433,plain,(
% 282.53/36.20 ![X0]: (~ssList(X0)|segmentP(app(sK48_skl,X0),sK48_skl)|~ssList(nil))),
% 282.53/36.20 inference(forward_subsumption_resolution,[status(thm)],[f1423,f421])).
% 282.53/36.20 fof(f9310,plain,(
% 282.53/36.20 ![X0]: (~ssList(X0)|segmentP(app(sK48_skl,X0),sK48_skl))),
% 282.53/36.20 inference(forward_subsumption_resolution,[status(thm)],[f1433,f223])).
% 282.53/36.20 fof(f9343,plain,(
% 282.53/36.20 ~ssList(nil)|segmentP(sK48_skl,sK48_skl)),
% 282.53/36.20 inference(paramodulation,[status(thm)],[f638,f9310])).
% 282.53/36.20 fof(f9375,plain,(
% 282.53/36.20 segmentP(sK48_skl,sK48_skl)),
% 282.53/36.20 inference(forward_subsumption_resolution,[status(thm)],[f9343,f223])).
% 282.53/36.20 fof(f20562,plain,(
% 282.53/36.20 ~ssList(sK53_skl(sK51_skl,sK48_skl,sK47_skl))|~ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl))|nil=sK48_skl),
% 282.53/36.20 inference(forward_subsumption_resolution,[status(thm)],[f1428,f1246])).
% 282.53/36.20 fof(f20563,plain,(
% 282.53/36.20 ~ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl))|nil=sK48_skl|~sP0_prd(sK51_skl,sK48_skl,sK47_skl)),
% 282.53/36.20 inference(resolution,[status(thm)],[f20562,f436])).
% 282.53/36.20 fof(f20564,plain,(
% 282.53/36.20 nil=sK48_skl|~sP0_prd(sK51_skl,sK48_skl,sK47_skl)),
% 282.53/36.20 inference(forward_subsumption_resolution,[status(thm)],[f20563,f435])).
% 282.53/36.20 fof(f20739,plain,(
% 282.53/36.20 segmentP(sK48_skl,nil)),
% 282.53/36.20 inference(backward_demodulation,[status(thm)],[f20833,f9375])).
% 282.53/36.20 fof(f20821,plain,(
% 282.53/36.20 nil=sK47_skl|~segmentP(nil,sK47_skl)),
% 282.53/36.20 inference(backward_demodulation,[status(thm)],[f20833,f1093])).
% 282.53/36.20 fof(f20828,plain,(
% 282.53/36.20 ~segmentP(nil,sK47_skl)|~equalelemsP(sK47_skl)),
% 282.53/36.20 inference(backward_demodulation,[status(thm)],[f20833,f428])).
% 282.53/36.20 fof(f20829,plain,(
% 282.53/36.20 sP0_prd(sK51_skl,nil,sK47_skl)|nil=sK47_skl),
% 282.53/36.20 inference(backward_demodulation,[status(thm)],[f20833,f506])).
% 282.53/36.20 fof(f20833,plain,(
% 282.53/36.20 nil=sK48_skl),
% 282.53/36.20 inference(forward_subsumption_resolution,[status(thm)],[f20564,f502])).
% 282.53/36.20 fof(f20898,plain,(
% 282.53/36.20 segmentP(nil,nil)),
% 282.53/36.20 inference(forward_demodulation,[status(thm)],[f20833,f20739])).
% 282.53/36.20 fof(f21914,plain,(
% 282.53/36.20 ~ssList(sK53_skl(sK51_skl,nil,sK47_skl))|segmentP(sK48_skl,sK47_skl)|~ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl))|nil=sK47_skl),
% 282.53/36.20 inference(forward_demodulation,[status(thm)],[f20833,f1429])).
% 282.53/36.20 fof(f21915,plain,(
% 282.53/36.20 ~ssList(sK53_skl(sK51_skl,nil,sK47_skl))|segmentP(nil,sK47_skl)|~ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl))|nil=sK47_skl),
% 282.53/36.20 inference(forward_demodulation,[status(thm)],[f20833,f21914])).
% 282.53/36.20 fof(f21916,plain,(
% 282.53/36.20 ~ssList(sK53_skl(sK51_skl,nil,sK47_skl))|segmentP(nil,sK47_skl)|~ssList(sK52_skl(sK51_skl,nil,sK47_skl))|nil=sK47_skl),
% 282.53/36.20 inference(forward_demodulation,[status(thm)],[f20833,f21915])).
% 282.53/36.20 fof(f21917,plain,(
% 282.53/36.20 ~ssList(sK53_skl(sK51_skl,nil,sK47_skl))|~ssList(sK52_skl(sK51_skl,nil,sK47_skl))|nil=sK47_skl),
% 264.99/36.24 inference(forward_subsumption_resolution,[status(thm)],[f21916,f20821])).
% 264.99/36.24 fof(f21918,plain,(
% 264.99/36.24 ~ssList(sK52_skl(sK51_skl,nil,sK47_skl))|nil=sK47_skl|~sP0_prd(sK51_skl,nil,sK47_skl)),
% 264.99/36.24 inference(resolution,[status(thm)],[f21917,f436])).
% 264.99/36.24 fof(f21919,plain,(
% 264.99/36.24 nil=sK47_skl|~sP0_prd(sK51_skl,nil,sK47_skl)),
% 264.99/36.24 inference(forward_subsumption_resolution,[status(thm)],[f21918,f435])).
% 264.99/36.24 fof(f21934,plain,(
% 264.99/36.24 ~segmentP(nil,sK47_skl)|~equalelemsP(nil)),
% 264.99/36.24 inference(backward_demodulation,[status(thm)],[f22095,f20828])).
% 264.99/36.24 fof(f22095,plain,(
% 264.99/36.24 nil=sK47_skl),
% 264.99/36.24 inference(forward_subsumption_resolution,[status(thm)],[f21919,f20829])).
% 264.99/36.24 fof(f22104,plain,(
% 264.99/36.24 ~segmentP(nil,nil)|~equalelemsP(nil)),
% 264.99/36.24 inference(forward_demodulation,[status(thm)],[f22095,f21934])).
% 264.99/36.24 fof(f22105,plain,(
% 264.99/36.24 ~equalelemsP(nil)),
% 264.99/36.24 inference(forward_subsumption_resolution,[status(thm)],[f22104,f20898])).
% 264.99/36.24 fof(f22188,plain,(
% 264.99/36.24 $false),
% 264.99/36.24 inference(forward_subsumption_resolution,[status(thm)],[f22105,f362])).
% 264.99/36.24 % SZS output end CNFRefutation for theBenchmark.p
% 26.88/36.35 % Elapsed time: 35.991209 seconds
% 26.88/36.35 % CPU time: 284.130668 seconds
% 26.88/36.35 % Total memory used: 785.575 MB
% 26.88/36.35 % Net memory used: 735.597 MB
%------------------------------------------------------------------------------