%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC071+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 : 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 02:41:30 PM UTC 2026
% Result : Theorem 284.12s 36.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC071+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
% 0.10/0.34 % Computer : n003.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 07:55:16 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 284.12/36.32 % Refutation found
% 284.12/36.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 284.12/36.32 % SZS output start CNFRefutation for theBenchmark
% 284.12/36.32 fof(f4,axiom,(
% 284.12/36.32 (! [U] :( ssList(U)=> ( singletonP(U)<=> (? [V] :( ssItem(V)& cons(V,nil) = U ) )) ) )),
% 284.12/36.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 284.12/36.32 fof(f7,axiom,(
% 284.12/36.32 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 284.12/36.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 284.12/36.32 fof(f15,axiom,(
% 284.12/36.32 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 284.12/36.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 284.12/36.32 fof(f16,axiom,(
% 284.12/36.32 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 284.12/36.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 284.12/36.32 fof(f17,axiom,(
% 284.12/36.32 ssList(nil) ),
% 284.12/36.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 284.12/36.32 fof(f18,axiom,(
% 284.12/36.32 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> cons(V,U) != U ) )) )),
% 284.12/36.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 284.12/36.33 fof(f26,axiom,(
% 284.12/36.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 284.12/36.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 284.12/36.33 fof(f55,axiom,(
% 284.12/36.33 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 284.12/36.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 284.12/36.33 fof(f96,conjecture,(
% 284.12/36.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| ( nil = V& nil = U )| ( (! [Z] :( ssItem(Z)=> (! [X1] :( ssList(X1)=> (! [X2] :( ssList(X2)=> ( cons(Z,nil) != W| app(app(X1,W),X2) != X| (? [X3] :( ssItem(X3)& memberP(X1,X3)& lt(Z,X3) ))| (? [X4] :( ssItem(X4)& memberP(X2,X4)& lt(X4,Z) ) )) ) )) )))& ( nil != X| nil != W ) ) ) ) )) )) )) )),
% 284.12/36.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 284.12/36.33 fof(f97,negated_conjecture,(
% 284.12/36.33 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| ( nil = V& nil = U )| ( (! [Z] :( ssItem(Z)=> (! [X1] :( ssList(X1)=> (! [X2] :( ssList(X2)=> ( cons(Z,nil) != W| app(app(X1,W),X2) != X| (? [X3] :( ssItem(X3)& memberP(X1,X3)& lt(Z,X3) ))| (? [X4] :( ssItem(X4)& memberP(X2,X4)& lt(X4,Z) ) )) ) )) )))& ( nil != X| nil != W ) ) ) ) )) )) )) ))),
% 284.12/36.33 inference(negated_conjecture,[status(cth)],[f96])).
% 284.12/36.33 fof(f113,plain,(
% 284.12/36.33 ![U]: (~ssList(U)|(singletonP(U)<=>(?[V]: (ssItem(V)&cons(V,nil)=U))))),
% 284.12/36.33 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 284.12/36.33 fof(f114,plain,(
% 284.12/36.33 ![U]: (~ssList(U)|((~singletonP(U)|(?[V]: (ssItem(V)&cons(V,nil)=U)))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 284.12/36.33 inference(NNF_transformation,[status(thm)],[f113])).
% 284.12/36.33 fof(f115,plain,(
% 284.12/36.33 ![U]: (~ssList(U)|((~singletonP(U)|(ssItem(sK4_skl(U))&cons(sK4_skl(U),nil)=U))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 284.12/36.33 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(V,sK4_skl(U))],[f114])).
% 284.12/36.33 fof(f116,plain,(
% 284.12/36.33 ![X0]: (~ssList(X0)|~singletonP(X0)|ssItem(sK4_skl(X0)))),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f115])).
% 284.12/36.33 fof(f117,plain,(
% 284.12/36.33 ![X0]: (~ssList(X0)|~singletonP(X0)|cons(sK4_skl(X0),nil)=X0)),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f115])).
% 284.12/36.33 fof(f118,plain,(
% 284.12/36.33 ![X0,X1]: (~ssList(X0)|singletonP(X0)|~ssItem(X1)|~cons(X1,nil)=X0)),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f115])).
% 284.12/36.33 fof(f131,plain,(
% 284.12/36.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 284.12/36.33 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 284.12/36.33 fof(f132,plain,(
% 284.12/36.33 ![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)))))))))),
% 284.12/36.33 inference(NNF_transformation,[status(thm)],[f131])).
% 284.12/36.33 fof(f133,plain,(
% 284.12/36.33 ![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)))))))))),
% 284.12/36.33 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132])).
% 284.12/36.33 fof(f137,plain,(
% 284.12/36.33 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f133])).
% 284.12/36.33 fof(f217,plain,(
% 284.12/36.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 284.12/36.33 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 284.12/36.33 fof(f218,plain,(
% 284.12/36.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 284.12/36.33 inference(NNF_transformation,[status(thm)],[f217])).
% 284.12/36.33 fof(f220,plain,(
% 284.12/36.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f218])).
% 284.12/36.33 fof(f221,plain,(
% 284.12/36.33 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 284.12/36.33 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 284.12/36.33 fof(f222,plain,(
% 284.12/36.33 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f221])).
% 284.12/36.33 fof(f223,plain,(
% 284.12/36.33 ssList(nil)),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f17])).
% 284.12/36.33 fof(f224,plain,(
% 284.12/36.33 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|~cons(V,U)=U)))),
% 284.12/36.33 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 284.12/36.33 fof(f225,plain,(
% 284.12/36.33 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~cons(X1,X0)=X0)),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f224])).
% 284.12/36.33 fof(f244,plain,(
% 284.12/36.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 284.12/36.33 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 284.12/36.33 fof(f245,plain,(
% 284.12/36.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f244])).
% 284.12/36.33 fof(f318,plain,(
% 284.12/36.33 ![U]: (~ssList(U)|segmentP(U,U))),
% 284.12/36.33 inference(pre_NNF_transformation,[status(thm)],[f55])).
% 284.12/36.33 fof(f319,plain,(
% 284.12/36.33 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f318])).
% 284.12/36.33 fof(f415,plain,(
% 284.12/36.33 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(~nil=V|~nil=U))&((?[Z]: (ssItem(Z)&(?[X1]: (ssList(X1)&(?[X2]: (ssList(X2)&(((cons(Z,nil)=W&app(app(X1,W),X2)=X)&(![X3]: ((~ssItem(X3)|~memberP(X1,X3))|~lt(Z,X3))))&(![X4]: ((~ssItem(X4)|~memberP(X2,X4))|~lt(X4,Z))))))))))|(nil=X&nil=W)))))))))))),
% 284.12/36.33 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 284.12/36.33 fof(f416,definition,(
% 284.12/36.33 ![W,X,Z]: (sP0_prd(Z,X,W)<=>(ssItem(Z)&(?[X1]: (ssList(X1)&(?[X2]: (ssList(X2)&(((cons(Z,nil)=W&app(app(X1,W),X2)=X)&(![X3]: ((~ssItem(X3)|~memberP(X1,X3))|~lt(Z,X3))))&(![X4]: ((~ssItem(X4)|~memberP(X2,X4))|~lt(X4,Z))))))))))),
% 284.12/36.33 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 284.12/36.33 fof(f417,plain,(
% 284.12/36.33 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(~nil=V|~nil=U))&((?[Z]: sP0_prd(Z,X,W))|(nil=X&nil=W))))))))))),
% 284.12/36.33 inference(formula_renaming,[status(thm)],[f415,f416])).
% 284.12/36.33 fof(f418,plain,(
% 284.12/36.33 (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))|~segmentP(sK48_skl,Y))|~segmentP(sK47_skl,Y))))&(~nil=sK48_skl|~nil=sK47_skl))&(sP0_prd(sK51_skl,sK50_skl,sK49_skl)|(nil=sK50_skl&nil=sK49_skl)))))))),
% 284.12/36.33 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(Z,sK51_skl)],[f417])).
% 284.12/36.33 fof(f419,plain,(
% 284.12/36.33 ssList(sK47_skl)),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f418])).
% 284.12/36.33 fof(f423,plain,(
% 284.12/36.33 sK48_skl=sK50_skl),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f418])).
% 284.12/36.33 fof(f424,plain,(
% 284.12/36.33 sK47_skl=sK49_skl),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f418])).
% 284.12/36.33 fof(f425,plain,(
% 284.12/36.33 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0))),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f418])).
% 284.12/36.33 fof(f426,plain,(
% 284.12/36.33 ~nil=sK48_skl|~nil=sK47_skl),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f418])).
% 284.12/36.33 fof(f427,plain,(
% 284.12/36.33 sP0_prd(sK51_skl,sK50_skl,sK49_skl)|nil=sK50_skl),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f418])).
% 284.12/36.33 fof(f428,plain,(
% 284.12/36.33 sP0_prd(sK51_skl,sK50_skl,sK49_skl)|nil=sK49_skl),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f418])).
% 284.12/36.33 fof(f429,definition,(
% 284.12/36.33 ![Z,X1,X3]: (sP1_prd(X3,X1,Z)<=>((~ssItem(X3)|~memberP(X1,X3))|~lt(Z,X3)))),
% 284.12/36.33 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 284.12/36.33 fof(f430,plain,(
% 284.12/36.33 ![W,X,Z]: (sP0_prd(Z,X,W)<=>(ssItem(Z)&(?[X1]: (ssList(X1)&(?[X2]: (ssList(X2)&(((cons(Z,nil)=W&app(app(X1,W),X2)=X)&(![X3]: sP1_prd(X3,X1,Z)))&(![X4]: ((~ssItem(X4)|~memberP(X2,X4))|~lt(X4,Z))))))))))),
% 284.12/36.33 inference(formula_renaming,[status(thm)],[f416,f429])).
% 284.12/36.33 fof(f431,plain,(
% 284.12/36.33 ![W,X,Z]: ((~sP0_prd(Z,X,W)|(ssItem(Z)&(?[X1]: (ssList(X1)&(?[X2]: (ssList(X2)&(((cons(Z,nil)=W&app(app(X1,W),X2)=X)&(![X3]: sP1_prd(X3,X1,Z)))&(![X4]: ((~ssItem(X4)|~memberP(X2,X4))|~lt(X4,Z))))))))))&(sP0_prd(Z,X,W)|(~ssItem(Z)|(![X1]: (~ssList(X1)|(![X2]: (~ssList(X2)|(((~cons(Z,nil)=W|~app(app(X1,W),X2)=X)|(?[X3]: ~sP1_prd(X3,X1,Z)))|(?[X4]: ((ssItem(X4)&memberP(X2,X4))<(X4,Z)))))))))))),
% 284.12/36.33 inference(NNF_transformation,[status(thm)],[f430])).
% 284.12/36.33 fof(f432,plain,(
% 284.12/36.33 (![W,X,Z]: (~sP0_prd(Z,X,W)|(ssItem(Z)&(?[X1]: (ssList(X1)&(?[X2]: (ssList(X2)&(((cons(Z,nil)=W&app(app(X1,W),X2)=X)&(![X3]: sP1_prd(X3,X1,Z)))&(![X4]: ((~ssItem(X4)|~memberP(X2,X4))|~lt(X4,Z)))))))))))&(![W,X,Z]: (sP0_prd(Z,X,W)|(~ssItem(Z)|(![X1]: (~ssList(X1)|(![X2]: (~ssList(X2)|(((~cons(Z,nil)=W|~app(app(X1,W),X2)=X)|(?[X3]: ~sP1_prd(X3,X1,Z)))|(?[X4]: ((ssItem(X4)&memberP(X2,X4))<(X4,Z)))))))))))),
% 284.12/36.33 inference(miniscoping,[status(thm)],[f431])).
% 284.12/36.33 fof(f433,plain,(
% 284.12/36.33 (![W,X,Z]: (~sP0_prd(Z,X,W)|(ssItem(Z)&(ssList(sK52_skl(Z,X,W))&(ssList(sK53_skl(Z,X,W))&(((cons(Z,nil)=W&app(app(sK52_skl(Z,X,W),W),sK53_skl(Z,X,W))=X)&(![X3]: sP1_prd(X3,sK52_skl(Z,X,W),Z)))&(![X4]: ((~ssItem(X4)|~memberP(sK53_skl(Z,X,W),X4))|~lt(X4,Z)))))))))&(![W,X,Z]: (sP0_prd(Z,X,W)|(~ssItem(Z)|(![X1]: (~ssList(X1)|(![X2]: (~ssList(X2)|(((~cons(Z,nil)=W|~app(app(X1,W),X2)=X)|~sP1_prd(sK54_skl(X2,X1,Z,X,W),X1,Z))|((ssItem(sK55_skl(X2,X1,Z,X,W))&memberP(X2,sK55_skl(X2,X1,Z,X,W)))<(sK55_skl(X2,X1,Z,X,W),Z))))))))))),
% 284.12/36.33 inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl,sK53_skl,sK54_skl,sK55_skl]),skolemize(X1,sK52_skl(Z,X,W)),skolemize(X2,sK53_skl(Z,X,W)),skolemize(X3,sK54_skl(X2,X1,Z,X,W)),skolemize(X4,sK55_skl(X2,X1,Z,X,W))],[f432])).
% 284.12/36.33 fof(f434,plain,(
% 284.12/36.33 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|ssItem(X0))),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f433])).
% 284.12/36.33 fof(f435,plain,(
% 284.12/36.33 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|ssList(sK52_skl(X0,X1,X2)))),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f433])).
% 284.12/36.33 fof(f436,plain,(
% 284.12/36.33 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|ssList(sK53_skl(X0,X1,X2)))),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f433])).
% 284.12/36.33 fof(f437,plain,(
% 284.12/36.33 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|cons(X0,nil)=X2)),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f433])).
% 284.12/36.33 fof(f438,plain,(
% 284.12/36.33 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|app(app(sK52_skl(X0,X1,X2),X2),sK53_skl(X0,X1,X2))=X1)),
% 284.12/36.33 inference(cnf_transformation,[status(thm)],[f433])).
% 284.12/36.33 fof(f453,plain,(
% 284.12/36.33 ![X0]: (~ssList(cons(X0,nil))|singletonP(cons(X0,nil))|~ssItem(X0))),
% 284.12/36.33 inference(destructive_equality_resolution,[status(thm)],[f118])).
% 284.12/36.33 fof(f456,plain,(
% 284.12/36.33 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 284.12/36.33 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 284.12/36.33 fof(f492,plain,(
% 284.12/36.33 ![X0]: (~ssList(nil)|~ssItem(X0)|singletonP(cons(X0,nil))|~ssItem(X0))),
% 284.12/36.33 inference(resolution,[status(thm)],[f222,f453])).
% 284.12/36.33 fof(f493,plain,(
% 284.12/36.33 ![X0]: (~ssList(nil)|~ssItem(X0)|singletonP(cons(X0,nil)))),
% 284.12/36.33 inference(duplicate_literals_removal,[status(thm)],[f492])).
% 284.12/36.33 fof(f494,plain,(
% 284.12/36.33 ![X0]: (~ssItem(X0)|singletonP(cons(X0,nil)))),
% 284.12/36.33 inference(forward_subsumption_resolution,[status(thm)],[f493,f223])).
% 284.12/36.33 fof(f497,plain,(
% 284.12/36.33 sP0_prd(sK51_skl,sK48_skl,sK49_skl)|nil=sK50_skl),
% 284.12/36.33 inference(forward_demodulation,[status(thm)],[f423,f427])).
% 284.12/36.33 fof(f498,plain,(
% 284.12/36.33 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|nil=sK50_skl),
% 284.12/36.33 inference(forward_demodulation,[status(thm)],[f424,f497])).
% 284.12/36.33 fof(f499,plain,(
% 284.12/36.33 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|nil=sK48_skl),
% 284.12/36.33 inference(forward_demodulation,[status(thm)],[f423,f498])).
% 284.12/36.33 fof(f500,plain,(
% 284.12/36.33 sP0_prd(sK51_skl,sK48_skl,sK49_skl)|nil=sK49_skl),
% 284.12/36.33 inference(forward_demodulation,[status(thm)],[f423,f428])).
% 284.12/36.33 fof(f501,plain,(
% 284.12/36.33 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|nil=sK49_skl),
% 284.12/36.33 inference(forward_demodulation,[status(thm)],[f424,f500])).
% 284.12/36.33 fof(f502,plain,(
% 284.12/36.33 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|nil=sK47_skl),
% 284.12/36.33 inference(forward_demodulation,[status(thm)],[f424,f501])).
% 284.12/36.33 fof(f503,plain,(
% 284.12/36.33 ~ssList(sK47_skl)|~ssList(sK47_skl)|~neq(sK47_skl,nil)|~segmentP(sK48_skl,sK47_skl)),
% 284.12/36.33 inference(resolution,[status(thm)],[f319,f425])).
% 284.12/36.33 fof(f505,plain,(
% 284.12/36.33 ~ssList(sK47_skl)|~neq(sK47_skl,nil)|~segmentP(sK48_skl,sK47_skl)),
% 284.12/36.33 inference(duplicate_literals_removal,[status(thm)],[f503])).
% 284.12/36.33 fof(f506,plain,(
% 284.12/36.33 ~neq(sK47_skl,nil)|~segmentP(sK48_skl,sK47_skl)),
% 284.12/36.33 inference(forward_subsumption_resolution,[status(thm)],[f505,f419])).
% 284.12/36.33 fof(f517,plain,(
% 284.12/36.33 ![X0,X1,X2]: (~ssList(app(X0,X1))|~ssList(X2)|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 284.12/36.33 inference(resolution,[status(thm)],[f245,f456])).
% 284.12/36.33 fof(f519,plain,(
% 284.12/36.33 ![X0,X1,X2]: (~ssList(app(X0,X1))|~ssList(X2)|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0))),
% 284.12/36.33 inference(duplicate_literals_removal,[status(thm)],[f517])).
% 284.12/36.33 fof(f520,plain,(
% 284.12/36.33 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|segmentP(app(app(X2,X1),X0),X1)|~ssList(X2))),
% 284.12/36.33 inference(forward_subsumption_resolution,[status(thm)],[f519,f245])).
% 284.12/36.33 fof(f537,plain,(
% 284.12/36.33 ssItem(sK51_skl)|nil=sK47_skl),
% 284.12/36.33 inference(resolution,[status(thm)],[f434,f502])).
% 284.12/36.33 fof(f538,plain,(
% 284.12/36.33 ssItem(sK51_skl)|nil=sK48_skl),
% 284.12/36.33 inference(resolution,[status(thm)],[f434,f499])).
% 284.12/36.33 fof(f561,plain,(
% 284.12/36.33 cons(sK51_skl,nil)=sK47_skl|nil=sK47_skl),
% 284.12/36.33 inference(resolution,[status(thm)],[f437,f502])).
% 284.12/36.33 fof(f562,plain,(
% 284.12/36.33 cons(sK51_skl,nil)=sK47_skl|nil=sK48_skl),
% 284.12/36.33 inference(resolution,[status(thm)],[f437,f499])).
% 284.12/36.33 fof(f563,plain,(
% 284.12/36.33 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),
% 284.12/36.33 inference(resolution,[status(thm)],[f438,f502])).
% 284.12/36.33 fof(f602,plain,(
% 284.12/36.33 ![X0]: (nil=sK48_skl|~ssList(X0)|~cons(sK51_skl,X0)=X0)),
% 284.12/36.33 inference(resolution,[status(thm)],[f538,f225])).
% 284.12/36.33 fof(f1293,plain,(
% 284.12/36.33 ~ssItem(sK51_skl)|singletonP(sK47_skl)|nil=sK47_skl),
% 284.12/36.33 inference(paramodulation,[status(thm)],[f561,f494])).
% 284.12/36.33 fof(f1317,plain,(
% 284.12/36.33 singletonP(sK47_skl)|nil=sK47_skl),
% 284.12/36.33 inference(forward_subsumption_resolution,[status(thm)],[f1293,f537])).
% 284.12/36.33 fof(f1389,plain,(
% 284.12/36.33 nil=sK47_skl|~ssList(sK47_skl)|ssItem(sK4_skl(sK47_skl))),
% 284.12/36.33 inference(resolution,[status(thm)],[f1317,f116])).
% 284.12/36.33 fof(f1391,plain,(
% 284.12/36.33 nil=sK47_skl|ssItem(sK4_skl(sK47_skl))),
% 284.12/36.33 inference(forward_subsumption_resolution,[status(thm)],[f1389,f419])).
% 284.12/36.33 fof(f1539,plain,(
% 284.12/36.33 ~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),
% 284.12/36.33 inference(paramodulation,[status(thm)],[f563,f520])).
% 284.12/36.33 fof(f1545,plain,(
% 284.12/36.33 ~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),
% 284.12/36.33 inference(forward_subsumption_resolution,[status(thm)],[f1539,f419])).
% 284.12/36.33 fof(f2056,plain,(
% 284.12/36.33 nil=sK48_skl|~cons(sK51_skl,nil)=nil),
% 284.12/36.33 inference(resolution,[status(thm)],[f602,f223])).
% 284.12/36.33 fof(f2059,plain,(
% 284.12/36.33 nil=sK48_skl|~sK47_skl=nil|nil=sK48_skl),
% 284.12/36.33 inference(paramodulation,[status(thm)],[f562,f2056])).
% 284.12/36.33 fof(f2061,plain,(
% 284.12/36.33 nil=sK48_skl|~sK47_skl=nil),
% 284.12/36.33 inference(duplicate_literals_removal,[status(thm)],[f2059])).
% 284.12/36.33 fof(f2062,plain,(
% 284.12/36.33 ~sK47_skl=nil),
% 284.12/36.33 inference(forward_subsumption_resolution,[status(thm)],[f2061,f426])).
% 284.12/36.33 fof(f2111,plain,(
% 284.12/36.33 ssItem(sK4_skl(sK47_skl))),
% 284.12/36.33 inference(backward_subsumption_resolution,[status(thm)],[f1391,f2062])).
% 284.12/36.33 fof(f2114,plain,(
% 284.12/36.33 singletonP(sK47_skl)),
% 284.12/36.33 inference(backward_subsumption_resolution,[status(thm)],[f1317,f2062])).
% 284.12/36.33 fof(f2119,plain,(
% 284.12/36.33 sP0_prd(sK51_skl,sK48_skl,sK47_skl)),
% 284.12/36.33 inference(backward_subsumption_resolution,[status(thm)],[f502,f2062])).
% 284.91/36.40 fof(f2156,plain,(
% 284.91/36.40 ~ssList(sK47_skl)|cons(sK4_skl(sK47_skl),nil)=sK47_skl),
% 284.91/36.40 inference(resolution,[status(thm)],[f2114,f117])).
% 284.91/36.40 fof(f2158,plain,(
% 284.91/36.40 cons(sK4_skl(sK47_skl),nil)=sK47_skl),
% 284.91/36.40 inference(forward_subsumption_resolution,[status(thm)],[f2156,f419])).
% 284.91/36.40 fof(f2318,plain,(
% 284.91/36.40 ![X0]: (~ssList(X0)|~cons(sK4_skl(sK47_skl),X0)=X0)),
% 284.91/36.40 inference(resolution,[status(thm)],[f2111,f225])).
% 284.91/36.40 fof(f3710,plain,(
% 284.91/36.40 ~cons(sK4_skl(sK47_skl),sK47_skl)=sK47_skl),
% 284.91/36.40 inference(resolution,[status(thm)],[f2318,f419])).
% 284.91/36.40 fof(f20821,plain,(
% 284.91/36.40 ~ssList(sK53_skl(sK51_skl,sK48_skl,sK47_skl))|segmentP(sK48_skl,sK47_skl)|~ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl))),
% 284.91/36.40 inference(forward_subsumption_resolution,[status(thm)],[f1545,f2062])).
% 284.91/36.40 fof(f20822,plain,(
% 284.91/36.40 segmentP(sK48_skl,sK47_skl)|~ssList(sK52_skl(sK51_skl,sK48_skl,sK47_skl))|~sP0_prd(sK51_skl,sK48_skl,sK47_skl)),
% 284.91/36.40 inference(resolution,[status(thm)],[f20821,f436])).
% 284.91/36.40 fof(f20823,plain,(
% 284.91/36.40 segmentP(sK48_skl,sK47_skl)|~sP0_prd(sK51_skl,sK48_skl,sK47_skl)),
% 284.91/36.40 inference(forward_subsumption_resolution,[status(thm)],[f20822,f435])).
% 284.91/36.40 fof(f21102,plain,(
% 284.91/36.40 ~neq(sK47_skl,nil)),
% 284.91/36.40 inference(backward_subsumption_resolution,[status(thm)],[f506,f21103])).
% 284.91/36.40 fof(f21103,plain,(
% 284.91/36.40 segmentP(sK48_skl,sK47_skl)),
% 284.91/36.40 inference(forward_subsumption_resolution,[status(thm)],[f20823,f2119])).
% 284.91/36.40 fof(f21174,plain,(
% 284.91/36.40 ~ssList(sK47_skl)|~ssList(nil)|sK47_skl=nil),
% 284.91/36.40 inference(resolution,[status(thm)],[f21102,f220])).
% 284.91/36.40 fof(f21175,plain,(
% 284.91/36.40 ~ssList(nil)|sK47_skl=nil),
% 284.91/36.40 inference(forward_subsumption_resolution,[status(thm)],[f21174,f419])).
% 284.91/36.40 fof(f22008,plain,(
% 284.91/36.40 cons(sK4_skl(sK47_skl),sK47_skl)=sK47_skl),
% 284.91/36.40 inference(backward_demodulation,[status(thm)],[f22100,f2158])).
% 284.91/36.40 fof(f22100,plain,(
% 284.91/36.40 sK47_skl=nil),
% 284.91/36.40 inference(forward_subsumption_resolution,[status(thm)],[f21175,f223])).
% 284.91/36.40 fof(f22314,plain,(
% 284.91/36.40 $false),
% 284.91/36.40 inference(forward_subsumption_resolution,[status(thm)],[f22008,f3710])).
% 284.91/36.40 % SZS output end CNFRefutation for theBenchmark.p
% 26.93/36.56 % Elapsed time: 36.178117 seconds
% 26.93/36.56 % CPU time: 286.243428 seconds
% 26.93/36.56 % Total memory used: 1.119 GB
% 26.93/36.56 % Net memory used: 1.051 GB
%------------------------------------------------------------------------------