%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC346+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 : n026.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 02:42:13 PM UTC 2026
% Result : Theorem 277.82s 35.90s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC346+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
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 08:20:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 277.82/35.90 % Refutation found
% 277.82/35.90 % SZS status Theorem for theBenchmark: Theorem is valid
% 277.82/35.90 % SZS output start CNFRefutation for theBenchmark
% 277.82/35.90 fof(f7,axiom,(
% 277.82/35.90 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 277.82/35.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 277.82/35.90 fof(f17,axiom,(
% 277.82/35.90 ssList(nil) ),
% 277.82/35.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 277.82/35.90 fof(f26,axiom,(
% 277.82/35.90 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 277.82/35.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 277.82/35.90 fof(f28,axiom,(
% 277.82/35.90 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 277.82/35.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 277.82/35.90 fof(f68,axiom,(
% 277.82/35.90 (! [U] :( ssItem(U)=> strictorderedP(cons(U,nil)) ) )),
% 277.82/35.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 277.82/35.90 fof(f69,axiom,(
% 277.82/35.90 strictorderedP(nil) ),
% 277.82/35.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 277.82/35.90 fof(f84,axiom,(
% 277.82/35.90 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 277.82/35.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 277.82/35.90 fof(f96,conjecture,(
% 277.82/35.90 (! [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)& strictorderedP(U) ) ) )) )) )) )),
% 277.82/35.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 277.82/35.90 fof(f97,negated_conjecture,(
% 277.82/35.90 ~((! [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)& strictorderedP(U) ) ) )) )) )) ))),
% 277.82/35.90 inference(negated_conjecture,[status(cth)],[f96])).
% 277.82/35.90 fof(f131,plain,(
% 277.82/35.90 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 277.82/35.90 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 277.82/35.90 fof(f132,plain,(
% 277.82/35.90 ![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)))))))))),
% 277.82/35.90 inference(NNF_transformation,[status(thm)],[f131])).
% 277.82/35.90 fof(f133,plain,(
% 277.82/35.90 ![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)))))))))),
% 277.82/35.90 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132])).
% 277.82/35.90 fof(f137,plain,(
% 277.82/35.90 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f133])).
% 277.82/35.90 fof(f223,plain,(
% 277.82/35.90 ssList(nil)),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f17])).
% 277.82/35.90 fof(f244,plain,(
% 277.82/35.90 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 277.82/35.90 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 277.82/35.90 fof(f245,plain,(
% 277.82/35.90 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f244])).
% 277.82/35.90 fof(f248,plain,(
% 277.82/35.90 ![U]: (~ssList(U)|app(nil,U)=U)),
% 277.82/35.90 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 277.82/35.90 fof(f249,plain,(
% 277.82/35.90 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f248])).
% 277.82/35.90 fof(f347,plain,(
% 277.82/35.90 ![U]: (~ssItem(U)|strictorderedP(cons(U,nil)))),
% 277.82/35.90 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 277.82/35.90 fof(f348,plain,(
% 277.82/35.90 ![X0]: (~ssItem(X0)|strictorderedP(cons(X0,nil)))),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f347])).
% 277.82/35.90 fof(f349,plain,(
% 277.82/35.90 strictorderedP(nil)),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f69])).
% 277.82/35.90 fof(f388,plain,(
% 277.82/35.90 ![U]: (~ssList(U)|app(U,nil)=U)),
% 277.82/35.90 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 277.82/35.90 fof(f389,plain,(
% 277.82/35.90 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f388])).
% 277.82/35.90 fof(f415,plain,(
% 277.82/35.90 (?[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)|~strictorderedP(U))))))))))),
% 277.82/35.90 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 277.82/35.90 fof(f416,definition,(
% 277.82/35.90 ![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)))))))))),
% 277.82/35.90 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 277.82/35.90 fof(f417,plain,(
% 277.82/35.90 ?[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)|~strictorderedP(U)))))))))),
% 277.82/35.90 inference(formula_renaming,[status(thm)],[f415,f416])).
% 277.82/35.90 fof(f418,plain,(
% 277.82/35.90 ?[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)|~strictorderedP(U))))))))),
% 277.82/35.90 inference(miniscoping,[status(thm)],[f417])).
% 277.82/35.90 fof(f419,plain,(
% 277.82/35.90 (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)|~strictorderedP(sK47_skl))))))),
% 277.82/35.90 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])).
% 277.82/35.90 fof(f420,plain,(
% 277.82/35.90 ssList(sK47_skl)),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f419])).
% 277.82/35.90 fof(f421,plain,(
% 277.82/35.90 ssList(sK48_skl)),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f419])).
% 277.82/35.90 fof(f424,plain,(
% 277.82/35.90 sK48_skl=sK50_skl),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f419])).
% 277.82/35.90 fof(f425,plain,(
% 277.82/35.90 sK47_skl=sK49_skl),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f419])).
% 277.82/35.90 fof(f426,plain,(
% 277.82/35.90 sP0_prd(sK51_skl,sK50_skl,sK49_skl)|nil=sK50_skl),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f419])).
% 277.82/35.90 fof(f427,plain,(
% 277.82/35.90 sP0_prd(sK51_skl,sK50_skl,sK49_skl)|nil=sK49_skl),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f419])).
% 277.82/35.90 fof(f428,plain,(
% 277.82/35.90 ~segmentP(sK48_skl,sK47_skl)|~strictorderedP(sK47_skl)),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f419])).
% 277.82/35.90 fof(f429,definition,(
% 277.82/35.90 ![Y,Z,X2]: (sP1_prd(X2,Z,Y)<=>((~ssItem(X2)|~memberP(Z,X2))|~lt(Y,X2)))),
% 277.82/35.90 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 277.82/35.90 fof(f430,plain,(
% 277.82/35.90 ![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)))))))))),
% 277.82/35.90 inference(formula_renaming,[status(thm)],[f416,f429])).
% 277.82/35.90 fof(f431,plain,(
% 277.82/35.90 ![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))))))))))),
% 277.82/35.90 inference(NNF_transformation,[status(thm)],[f430])).
% 277.82/35.90 fof(f432,plain,(
% 277.82/35.90 (![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))))))))))),
% 277.82/35.90 inference(miniscoping,[status(thm)],[f431])).
% 277.82/35.90 fof(f433,plain,(
% 277.82/35.90 (![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)))))))))),
% 277.82/35.90 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])).
% 277.82/35.90 fof(f434,plain,(
% 277.82/35.90 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|ssItem(X0))),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f433])).
% 277.82/35.90 fof(f435,plain,(
% 277.82/35.90 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|ssList(sK52_skl(X0,X1,X2)))),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f433])).
% 277.82/35.90 fof(f436,plain,(
% 277.82/35.90 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|ssList(sK53_skl(X0,X1,X2)))),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f433])).
% 277.82/35.90 fof(f437,plain,(
% 277.82/35.90 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|cons(X0,nil)=X2)),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f433])).
% 277.82/35.90 fof(f438,plain,(
% 277.82/35.90 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|app(app(sK52_skl(X0,X1,X2),X2),sK53_skl(X0,X1,X2))=X1)),
% 277.82/35.90 inference(cnf_transformation,[status(thm)],[f433])).
% 277.82/35.90 fof(f456,plain,(
% 277.82/35.90 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 277.82/35.90 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 277.82/35.90 fof(f500,plain,(
% 277.82/35.90 sP0_prd(sK51_skl,sK48_skl,sK49_skl)|nil=sK50_skl),
% 277.82/35.90 inference(forward_demodulation,[status(thm)],[f424,f426])).
% 277.82/35.90 fof(f501,plain,(
% 277.82/35.90 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|nil=sK50_skl),
% 277.82/35.90 inference(forward_demodulation,[status(thm)],[f425,f500])).
% 277.82/35.90 fof(f502,plain,(
% 277.82/35.90 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|nil=sK48_skl),
% 277.82/35.90 inference(forward_demodulation,[status(thm)],[f424,f501])).
% 277.82/35.90 fof(f503,plain,(
% 277.82/35.90 nil=sK48_skl|ssItem(sK51_skl)),
% 277.82/35.90 inference(resolution,[status(thm)],[f502,f434])).
% 277.82/35.90 fof(f504,plain,(
% 277.82/35.90 sP0_prd(sK51_skl,sK48_skl,sK49_skl)|nil=sK49_skl),
% 277.82/35.90 inference(forward_demodulation,[status(thm)],[f424,f427])).
% 277.82/35.90 fof(f505,plain,(
% 277.82/35.90 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|nil=sK49_skl),
% 277.82/35.90 inference(forward_demodulation,[status(thm)],[f425,f504])).
% 277.82/35.90 fof(f506,plain,(
% 277.82/35.90 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|nil=sK47_skl),
% 277.82/35.90 inference(forward_demodulation,[status(thm)],[f425,f505])).
% 277.82/35.90 fof(f507,plain,(
% 277.82/35.90 nil=sK47_skl|ssItem(sK51_skl)),
% 277.82/35.90 inference(resolution,[status(thm)],[f506,f434])).
% 277.82/35.90 fof(f509,plain,(
% 277.82/35.90 ![X0,X1,X2]: (~ssList(app(X0,X1))|~ssList(X2)|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 277.82/35.90 inference(resolution,[status(thm)],[f245,f456])).
% 277.82/35.90 fof(f511,plain,(
% 277.82/35.90 ![X0,X1,X2]: (~ssList(app(X0,X1))|~ssList(X2)|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0))),
% 277.82/35.90 inference(duplicate_literals_removal,[status(thm)],[f509])).
% 277.82/35.90 fof(f512,plain,(
% 277.82/35.90 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|segmentP(app(app(X2,X1),X0),X1)|~ssList(X2))),
% 277.82/35.90 inference(forward_subsumption_resolution,[status(thm)],[f511,f245])).
% 277.82/35.90 fof(f525,plain,(
% 277.82/35.90 app(nil,sK48_skl)=sK48_skl),
% 277.82/35.90 inference(resolution,[status(thm)],[f249,f421])).
% 277.82/35.90 fof(f566,plain,(
% 277.82/35.90 cons(sK51_skl,nil)=sK47_skl|nil=sK47_skl),
% 277.82/35.90 inference(resolution,[status(thm)],[f437,f506])).
% 277.82/35.90 fof(f567,plain,(
% 277.82/35.90 cons(sK51_skl,nil)=sK47_skl|nil=sK48_skl),
% 277.82/35.90 inference(resolution,[status(thm)],[f437,f502])).
% 277.82/35.90 fof(f615,plain,(
% 277.82/35.90 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),
% 277.82/35.90 inference(resolution,[status(thm)],[f438,f506])).
% 277.82/35.90 fof(f616,plain,(
% 277.82/35.90 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),
% 277.82/35.90 inference(resolution,[status(thm)],[f438,f502])).
% 277.82/35.90 fof(f638,plain,(
% 277.82/35.90 app(sK48_skl,nil)=sK48_skl),
% 277.82/35.90 inference(resolution,[status(thm)],[f389,f421])).
% 277.82/35.90 fof(f1029,plain,(
% 277.82/35.90 ~ssItem(sK51_skl)|strictorderedP(sK47_skl)|nil=sK47_skl),
% 277.82/35.90 inference(paramodulation,[status(thm)],[f566,f348])).
% 277.82/35.90 fof(f1052,plain,(
% 277.82/35.90 strictorderedP(sK47_skl)|nil=sK47_skl),
% 277.82/35.90 inference(forward_subsumption_resolution,[status(thm)],[f1029,f507])).
% 277.82/35.90 fof(f1071,plain,(
% 277.82/35.90 nil=sK47_skl|~segmentP(sK48_skl,sK47_skl)),
% 277.82/35.90 inference(resolution,[status(thm)],[f1052,f428])).
% 277.82/35.90 fof(f1191,plain,(
% 277.82/35.90 ~ssItem(sK51_skl)|strictorderedP(sK47_skl)|nil=sK48_skl),
% 277.82/35.90 inference(paramodulation,[status(thm)],[f567,f348])).
% 277.82/35.90 fof(f1214,plain,(
% 277.82/35.90 strictorderedP(sK47_skl)|nil=sK48_skl),
% 277.82/35.90 inference(forward_subsumption_resolution,[status(thm)],[f1191,f503])).
% 277.82/35.90 fof(f1231,plain,(
% 277.82/35.90 nil=sK48_skl|~segmentP(sK48_skl,sK47_skl)),
% 277.82/35.90 inference(resolution,[status(thm)],[f1214,f428])).
% 277.82/35.90 fof(f1424,plain,(
% 277.82/35.90 ~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),
% 277.82/35.90 inference(paramodulation,[status(thm)],[f616,f512])).
% 277.82/35.90 fof(f1425,plain,(
% 277.82/35.90 ~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),
% 277.82/35.90 inference(paramodulation,[status(thm)],[f615,f512])).
% 277.82/35.90 fof(f1431,plain,(
% 277.82/35.90 ![X0]: (~ssList(X0)|~ssList(sK48_skl)|segmentP(app(sK48_skl,X0),sK48_skl)|~ssList(nil))),
% 277.82/35.90 inference(paramodulation,[status(thm)],[f525,f512])).
% 277.82/35.90 fof(f1436,plain,(
% 277.82/35.90 ~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),
% 277.82/35.90 inference(forward_subsumption_resolution,[status(thm)],[f1424,f420])).
% 277.82/35.90 fof(f1437,plain,(
% 277.82/35.90 ~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),
% 277.82/35.90 inference(forward_subsumption_resolution,[status(thm)],[f1425,f420])).
% 277.82/35.90 fof(f1441,plain,(
% 277.82/35.90 ![X0]: (~ssList(X0)|segmentP(app(sK48_skl,X0),sK48_skl)|~ssList(nil))),
% 277.82/35.90 inference(forward_subsumption_resolution,[status(thm)],[f1431,f421])).
% 277.82/35.90 fof(f9339,plain,(
% 277.82/35.90 ![X0]: (~ssList(X0)|segmentP(app(sK48_skl,X0),sK48_skl))),
% 277.82/35.90 inference(forward_subsumption_resolution,[status(thm)],[f1441,f223])).
% 277.82/35.90 fof(f9372,plain,(
% 277.82/35.90 ~ssList(nil)|segmentP(sK48_skl,sK48_skl)),
% 277.82/35.90 inference(paramodulation,[status(thm)],[f638,f9339])).
% 277.82/35.90 fof(f9404,plain,(
% 277.82/35.90 segmentP(sK48_skl,sK48_skl)),
% 277.82/35.90 inference(forward_subsumption_resolution,[status(thm)],[f9372,f223])).
% 277.82/35.90 fof(f21136,plain,(
% 277.82/35.90 ~ssList(sK53_skl(sK51_skl,sK48_skl,sK47_skl))|~ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl))|nil=sK48_skl),
% 277.82/35.90 inference(forward_subsumption_resolution,[status(thm)],[f1436,f1231])).
% 277.82/35.90 fof(f21137,plain,(
% 277.82/35.90 ~ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl))|nil=sK48_skl|~sP0_prd(sK51_skl,sK48_skl,sK47_skl)),
% 277.82/35.90 inference(resolution,[status(thm)],[f21136,f436])).
% 277.82/35.90 fof(f21138,plain,(
% 277.82/35.90 nil=sK48_skl|~sP0_prd(sK51_skl,sK48_skl,sK47_skl)),
% 277.82/35.90 inference(forward_subsumption_resolution,[status(thm)],[f21137,f435])).
% 277.82/35.90 fof(f21279,plain,(
% 277.82/35.90 segmentP(sK48_skl,nil)),
% 277.82/35.90 inference(backward_demodulation,[status(thm)],[f21373,f9404])).
% 277.82/35.90 fof(f21361,plain,(
% 277.82/35.90 nil=sK47_skl|~segmentP(nil,sK47_skl)),
% 277.82/35.90 inference(backward_demodulation,[status(thm)],[f21373,f1071])).
% 277.82/35.90 fof(f21368,plain,(
% 277.82/35.90 ~segmentP(nil,sK47_skl)|~strictorderedP(sK47_skl)),
% 277.82/35.90 inference(backward_demodulation,[status(thm)],[f21373,f428])).
% 277.82/35.90 fof(f21369,plain,(
% 277.82/35.90 sP0_prd(sK51_skl,nil,sK47_skl)|nil=sK47_skl),
% 277.82/35.90 inference(backward_demodulation,[status(thm)],[f21373,f506])).
% 277.82/35.90 fof(f21373,plain,(
% 277.82/35.90 nil=sK48_skl),
% 277.82/35.90 inference(forward_subsumption_resolution,[status(thm)],[f21138,f502])).
% 277.82/35.90 fof(f21443,plain,(
% 277.82/35.90 segmentP(nil,nil)),
% 277.82/35.90 inference(forward_demodulation,[status(thm)],[f21373,f21279])).
% 277.82/35.90 fof(f22230,plain,(
% 277.82/35.90 ~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),
% 277.82/35.90 inference(forward_demodulation,[status(thm)],[f21373,f1437])).
% 277.82/35.90 fof(f22231,plain,(
% 277.82/35.90 ~ssList(sK53_skl(sK51_skl,nil,sK47_skl))|segmentP(nil,sK47_skl)|~ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl))|nil=sK47_skl),
% 277.82/35.90 inference(forward_demodulation,[status(thm)],[f21373,f22230])).
% 277.82/35.90 fof(f22232,plain,(
% 277.82/35.90 ~ssList(sK53_skl(sK51_skl,nil,sK47_skl))|segmentP(nil,sK47_skl)|~ssList(sK52_skl(sK51_skl,nil,sK47_skl))|nil=sK47_skl),
% 277.82/35.90 inference(forward_demodulation,[status(thm)],[f21373,f22231])).
% 277.82/35.90 fof(f22233,plain,(
% 280.62/35.95 ~ssList(sK53_skl(sK51_skl,nil,sK47_skl))|~ssList(sK52_skl(sK51_skl,nil,sK47_skl))|nil=sK47_skl),
% 280.62/35.95 inference(forward_subsumption_resolution,[status(thm)],[f22232,f21361])).
% 280.62/35.95 fof(f22234,plain,(
% 280.62/35.95 ~ssList(sK52_skl(sK51_skl,nil,sK47_skl))|nil=sK47_skl|~sP0_prd(sK51_skl,nil,sK47_skl)),
% 280.62/35.95 inference(resolution,[status(thm)],[f22233,f436])).
% 280.62/35.95 fof(f22235,plain,(
% 280.62/35.95 nil=sK47_skl|~sP0_prd(sK51_skl,nil,sK47_skl)),
% 280.62/35.95 inference(forward_subsumption_resolution,[status(thm)],[f22234,f435])).
% 280.62/35.95 fof(f22470,plain,(
% 280.62/35.95 ~segmentP(nil,sK47_skl)|~strictorderedP(nil)),
% 280.62/35.95 inference(backward_demodulation,[status(thm)],[f22636,f21368])).
% 280.62/35.95 fof(f22636,plain,(
% 280.62/35.95 nil=sK47_skl),
% 280.62/35.95 inference(forward_subsumption_resolution,[status(thm)],[f22235,f21369])).
% 280.62/35.95 fof(f22646,plain,(
% 280.62/35.95 ~segmentP(nil,nil)|~strictorderedP(nil)),
% 280.62/35.95 inference(forward_demodulation,[status(thm)],[f22636,f22470])).
% 280.62/35.95 fof(f22647,plain,(
% 280.62/35.95 ~strictorderedP(nil)),
% 280.62/35.95 inference(forward_subsumption_resolution,[status(thm)],[f22646,f21443])).
% 280.62/35.95 fof(f22738,plain,(
% 280.62/35.95 $false),
% 280.62/35.95 inference(forward_subsumption_resolution,[status(thm)],[f22647,f349])).
% 280.62/35.95 % SZS output end CNFRefutation for theBenchmark.p
% 97.73/36.05 % Elapsed time: 35.650861 seconds
% 97.73/36.05 % CPU time: 281.709079 seconds
% 97.73/36.05 % Total memory used: 867.411 MB
% 97.73/36.05 % Net memory used: 812.165 MB
%------------------------------------------------------------------------------