TSTP Solution File: SWC344+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC344+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:45:25 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC344+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:33:47 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.38 % Drodi V3.6.0
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f96,conjecture,(
% 0.13/0.39 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssList(Y)=> (! [Z] :( ssList(Z)=> ( app(app(Y,W),Z) != X| ~ strictorderedP(W)| (? [X1] :( ssItem(X1)& (? [X2] :( ssList(X2)& app(X2,cons(X1,nil)) = Y& (? [X3] :( ssItem(X3)& (? [X4] :( ssList(X4)& app(cons(X3,nil),X4) = W& lt(X1,X3) ) )) )) )))| (? [X5] :( ssItem(X5)& (? [X6] :( ssList(X6)& app(cons(X5,nil),X6) = Z& (? [X7] :( ssItem(X7)& (? [X8] :( ssList(X8)& app(X8,cons(X7,nil)) = W& lt(X7,X5) ) )) )) )) )) ) )))| ( nil != X& nil = W )| ( (? [X9] :( ssList(X9)& (? [X10] :( ssList(X10)& app(app(X9,U),X10) = V& (! [X11] :( ssItem(X11)=> (! [X12] :( ssList(X12)=> ( app(X12,cons(X11,nil)) != X9| (! [X13] :( ssItem(X13)=> (! [X14] :( ssList(X14)=> ( app(cons(X13,nil),X14) != U| ~ lt(X11,X13) ) ) )) )) ) )))& (! [X15] :( ssItem(X15)=> (! [X16] :( ssList(X16)=> ( app(cons(X15,nil),X16) != X10| (! [X17] :( ssItem(X17)=> (! [X18] :( ssList(X18)=> ( app(X18,cons(X17,nil)) != U| ~ lt(X17,X15) ) ) )) )) ) )))& strictorderedP(U) ) )))& ( nil != U| nil = V ) ) ) ) )) )) )) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f97,negated_conjecture,(
% 0.13/0.39 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssList(Y)=> (! [Z] :( ssList(Z)=> ( app(app(Y,W),Z) != X| ~ strictorderedP(W)| (? [X1] :( ssItem(X1)& (? [X2] :( ssList(X2)& app(X2,cons(X1,nil)) = Y& (? [X3] :( ssItem(X3)& (? [X4] :( ssList(X4)& app(cons(X3,nil),X4) = W& lt(X1,X3) ) )) )) )))| (? [X5] :( ssItem(X5)& (? [X6] :( ssList(X6)& app(cons(X5,nil),X6) = Z& (? [X7] :( ssItem(X7)& (? [X8] :( ssList(X8)& app(X8,cons(X7,nil)) = W& lt(X7,X5) ) )) )) )) )) ) )))| ( nil != X& nil = W )| ( (? [X9] :( ssList(X9)& (? [X10] :( ssList(X10)& app(app(X9,U),X10) = V& (! [X11] :( ssItem(X11)=> (! [X12] :( ssList(X12)=> ( app(X12,cons(X11,nil)) != X9| (! [X13] :( ssItem(X13)=> (! [X14] :( ssList(X14)=> ( app(cons(X13,nil),X14) != U| ~ lt(X11,X13) ) ) )) )) ) )))& (! [X15] :( ssItem(X15)=> (! [X16] :( ssList(X16)=> ( app(cons(X15,nil),X16) != X10| (! [X17] :( ssItem(X17)=> (! [X18] :( ssList(X18)=> ( app(X18,cons(X17,nil)) != U| ~ lt(X17,X15) ) ) )) )) ) )))& strictorderedP(U) ) )))& ( nil != U| nil = V ) ) ) ) )) )) )) ))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f96])).
% 0.13/0.39 fof(f415,plain,(
% 0.13/0.39 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssList(Y)&(?[Z]: (ssList(Z)&(((app(app(Y,W),Z)=X&strictorderedP(W))&(![X1]: (~ssItem(X1)|(![X2]: ((~ssList(X2)|~app(X2,cons(X1,nil))=Y)|(![X3]: (~ssItem(X3)|(![X4]: ((~ssList(X4)|~app(cons(X3,nil),X4)=W)|~lt(X1,X3))))))))))&(![X5]: (~ssItem(X5)|(![X6]: ((~ssList(X6)|~app(cons(X5,nil),X6)=Z)|(![X7]: (~ssItem(X7)|(![X8]: ((~ssList(X8)|~app(X8,cons(X7,nil))=W)|~lt(X7,X5)))))))))))))))&(nil=X|~nil=W))&((![X9]: (~ssList(X9)|(![X10]: ((((~ssList(X10)|~app(app(X9,U),X10)=V)|(?[X11]: (ssItem(X11)&(?[X12]: (ssList(X12)&(app(X12,cons(X11,nil))=X9&(?[X13]: (ssItem(X13)&(?[X14]: (ssList(X14)&(app(cons(X13,nil),X14)=U<(X11,X13))))))))))))|(?[X15]: (ssItem(X15)&(?[X16]: (ssList(X16)&(app(cons(X15,nil),X16)=X10&(?[X17]: (ssItem(X17)&(?[X18]: (ssList(X18)&(app(X18,cons(X17,nil))=U<(X17,X15))))))))))))|~strictorderedP(U)))))|(nil=U&~nil=V)))))))))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.13/0.39 fof(f416,plain,(
% 0.13/0.39 ![U,X9,X11]: (pd0_0(X11,X9,U)=>(ssItem(X11)&(?[X12]: (ssList(X12)&(app(X12,cons(X11,nil))=X9&(?[X13]: (ssItem(X13)&(?[X14]: (ssList(X14)&(app(cons(X13,nil),X14)=U<(X11,X13)))))))))))),
% 0.13/0.39 introduced(predicate_definition,[f415])).
% 0.13/0.39 fof(f417,plain,(
% 0.13/0.39 ![U,X10,X15]: (pd0_1(X15,X10,U)=>(ssItem(X15)&(?[X16]: (ssList(X16)&(app(cons(X15,nil),X16)=X10&(?[X17]: (ssItem(X17)&(?[X18]: (ssList(X18)&(app(X18,cons(X17,nil))=U<(X17,X15)))))))))))),
% 0.13/0.39 introduced(predicate_definition,[f415])).
% 0.13/0.39 fof(f418,plain,(
% 0.13/0.39 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssList(Y)&(?[Z]: (ssList(Z)&(((app(app(Y,W),Z)=X&strictorderedP(W))&(![X1]: (~ssItem(X1)|(![X2]: ((~ssList(X2)|~app(X2,cons(X1,nil))=Y)|(![X3]: (~ssItem(X3)|(![X4]: ((~ssList(X4)|~app(cons(X3,nil),X4)=W)|~lt(X1,X3))))))))))&(![X5]: (~ssItem(X5)|(![X6]: ((~ssList(X6)|~app(cons(X5,nil),X6)=Z)|(![X7]: (~ssItem(X7)|(![X8]: ((~ssList(X8)|~app(X8,cons(X7,nil))=W)|~lt(X7,X5)))))))))))))))&(nil=X|~nil=W))&((![X9]: (~ssList(X9)|(![X10]: ((((~ssList(X10)|~app(app(X9,U),X10)=V)|(?[X11]: pd0_0(X11,X9,U)))|(?[X15]: pd0_1(X15,X10,U)))|~strictorderedP(U)))))|(nil=U&~nil=V))))))))))),
% 0.13/0.39 inference(formula_renaming,[status(thm)],[f415,f417,f416])).
% 0.13/0.39 fof(f419,plain,(
% 0.13/0.39 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssList(Y)&(?[Z]: (ssList(Z)&(((app(app(Y,W),Z)=X&strictorderedP(W))&(![X1]: (~ssItem(X1)|((![X2]: (~ssList(X2)|~app(X2,cons(X1,nil))=Y))|(![X3]: (~ssItem(X3)|((![X4]: (~ssList(X4)|~app(cons(X3,nil),X4)=W))|~lt(X1,X3))))))))&(![X5]: (~ssItem(X5)|((![X6]: (~ssList(X6)|~app(cons(X5,nil),X6)=Z))|(![X7]: (~ssItem(X7)|((![X8]: (~ssList(X8)|~app(X8,cons(X7,nil))=W))|~lt(X7,X5)))))))))))))&(nil=X|~nil=W))&((![X9]: (~ssList(X9)|((![X10]: (((~ssList(X10)|~app(app(X9,U),X10)=V)|(?[X11]: pd0_0(X11,X9,U)))|(?[X15]: pd0_1(X15,X10,U))))|~strictorderedP(U))))|(nil=U&~nil=V))))))))))),
% 0.13/0.39 inference(miniscoping,[status(esa)],[f418])).
% 0.13/0.39 fof(f420,plain,(
% 0.13/0.39 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((((sk0_48=sk0_50&sk0_47=sk0_49)&(ssList(sk0_51)&(ssList(sk0_52)&(((app(app(sk0_51,sk0_49),sk0_52)=sk0_50&strictorderedP(sk0_49))&(![X1]: (~ssItem(X1)|((![X2]: (~ssList(X2)|~app(X2,cons(X1,nil))=sk0_51))|(![X3]: (~ssItem(X3)|((![X4]: (~ssList(X4)|~app(cons(X3,nil),X4)=sk0_49))|~lt(X1,X3))))))))&(![X5]: (~ssItem(X5)|((![X6]: (~ssList(X6)|~app(cons(X5,nil),X6)=sk0_52))|(![X7]: (~ssItem(X7)|((![X8]: (~ssList(X8)|~app(X8,cons(X7,nil))=sk0_49))|~lt(X7,X5)))))))))))&(nil=sk0_50|~nil=sk0_49))&((![X9]: (~ssList(X9)|((![X10]: (((~ssList(X10)|~app(app(X9,sk0_47),X10)=sk0_48)|pd0_0(sk0_53(X10,X9),X9,sk0_47))|pd0_1(sk0_54(X10,X9),X10,sk0_47)))|~strictorderedP(sk0_47))))|(nil=sk0_47&~nil=sk0_48)))))))),
% 0.13/0.40 inference(skolemization,[status(esa)],[f419])).
% 0.13/0.40 fof(f425,plain,(
% 0.13/0.40 sk0_48=sk0_50),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f420])).
% 0.13/0.40 fof(f426,plain,(
% 0.13/0.40 sk0_47=sk0_49),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f420])).
% 0.13/0.40 fof(f427,plain,(
% 0.13/0.40 ssList(sk0_51)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f420])).
% 0.13/0.40 fof(f428,plain,(
% 0.13/0.40 ssList(sk0_52)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f420])).
% 0.13/0.40 fof(f429,plain,(
% 0.13/0.40 app(app(sk0_51,sk0_49),sk0_52)=sk0_50),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f420])).
% 0.13/0.40 fof(f430,plain,(
% 0.13/0.40 strictorderedP(sk0_49)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f420])).
% 0.13/0.40 fof(f431,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(X1)|~app(X1,cons(X0,nil))=sk0_51|~ssItem(X2)|~ssList(X3)|~app(cons(X2,nil),X3)=sk0_49|~lt(X0,X2))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f420])).
% 0.13/0.40 fof(f432,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk0_52|~ssItem(X2)|~ssList(X3)|~app(X3,cons(X2,nil))=sk0_49|~lt(X2,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f420])).
% 0.13/0.40 fof(f433,plain,(
% 0.13/0.40 nil=sk0_50|~nil=sk0_49),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f420])).
% 0.13/0.40 fof(f434,plain,(
% 0.13/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~app(app(X0,sk0_47),X1)=sk0_48|pd0_0(sk0_53(X1,X0),X0,sk0_47)|pd0_1(sk0_54(X1,X0),X1,sk0_47)|~strictorderedP(sk0_47)|nil=sk0_47)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f420])).
% 0.13/0.40 fof(f435,plain,(
% 0.13/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~app(app(X0,sk0_47),X1)=sk0_48|pd0_0(sk0_53(X1,X0),X0,sk0_47)|pd0_1(sk0_54(X1,X0),X1,sk0_47)|~strictorderedP(sk0_47)|~nil=sk0_48)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f420])).
% 0.13/0.40 fof(f436,plain,(
% 0.13/0.40 ![U,X9,X11]: (~pd0_0(X11,X9,U)|(ssItem(X11)&(?[X12]: (ssList(X12)&(app(X12,cons(X11,nil))=X9&(?[X13]: (ssItem(X13)&(?[X14]: (ssList(X14)&(app(cons(X13,nil),X14)=U<(X11,X13)))))))))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.13/0.40 fof(f437,plain,(
% 0.13/0.40 ![U,X9,X11]: (~pd0_0(X11,X9,U)|(ssItem(X11)&(ssList(sk0_55(X11,X9,U))&(app(sk0_55(X11,X9,U),cons(X11,nil))=X9&(ssItem(sk0_56(X11,X9,U))&(ssList(sk0_57(X11,X9,U))&(app(cons(sk0_56(X11,X9,U),nil),sk0_57(X11,X9,U))=U<(X11,sk0_56(X11,X9,U)))))))))),
% 0.13/0.40 inference(skolemization,[status(esa)],[f436])).
% 0.13/0.40 fof(f438,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssItem(X0))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f437])).
% 0.13/0.40 fof(f439,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssList(sk0_55(X0,X1,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f437])).
% 0.13/0.40 fof(f440,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|app(sk0_55(X0,X1,X2),cons(X0,nil))=X1)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f437])).
% 0.13/0.40 fof(f441,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssItem(sk0_56(X0,X1,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f437])).
% 0.13/0.40 fof(f442,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssList(sk0_57(X0,X1,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f437])).
% 0.13/0.40 fof(f443,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|app(cons(sk0_56(X0,X1,X2),nil),sk0_57(X0,X1,X2))=X2)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f437])).
% 0.13/0.40 fof(f444,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|lt(X0,sk0_56(X0,X1,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f437])).
% 0.13/0.40 fof(f445,plain,(
% 0.13/0.40 ![U,X10,X15]: (~pd0_1(X15,X10,U)|(ssItem(X15)&(?[X16]: (ssList(X16)&(app(cons(X15,nil),X16)=X10&(?[X17]: (ssItem(X17)&(?[X18]: (ssList(X18)&(app(X18,cons(X17,nil))=U<(X17,X15)))))))))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f417])).
% 0.13/0.40 fof(f446,plain,(
% 0.13/0.40 ![U,X10,X15]: (~pd0_1(X15,X10,U)|(ssItem(X15)&(ssList(sk0_58(X15,X10,U))&(app(cons(X15,nil),sk0_58(X15,X10,U))=X10&(ssItem(sk0_59(X15,X10,U))&(ssList(sk0_60(X15,X10,U))&(app(sk0_60(X15,X10,U),cons(sk0_59(X15,X10,U),nil))=U<(sk0_59(X15,X10,U),X15))))))))),
% 0.13/0.40 inference(skolemization,[status(esa)],[f445])).
% 0.13/0.40 fof(f447,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|ssItem(X0))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f446])).
% 0.13/0.40 fof(f448,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|ssList(sk0_58(X0,X1,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f446])).
% 0.13/0.40 fof(f449,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|app(cons(X0,nil),sk0_58(X0,X1,X2))=X1)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f446])).
% 0.13/0.40 fof(f450,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|ssItem(sk0_59(X0,X1,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f446])).
% 0.13/0.40 fof(f451,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|ssList(sk0_60(X0,X1,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f446])).
% 0.13/0.40 fof(f452,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|app(sk0_60(X0,X1,X2),cons(sk0_59(X0,X1,X2),nil))=X2)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f446])).
% 0.13/0.40 fof(f453,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|lt(sk0_59(X0,X1,X2),X0))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f446])).
% 0.13/0.40 fof(f454,plain,(
% 0.13/0.40 spl0_0 <=> nil=sk0_50),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f455,plain,(
% 0.13/0.40 nil=sk0_50|~spl0_0),
% 0.13/0.40 inference(component_clause,[status(thm)],[f454])).
% 0.13/0.40 fof(f457,plain,(
% 0.13/0.40 spl0_1 <=> nil=sk0_49),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f459,plain,(
% 0.13/0.40 ~nil=sk0_49|spl0_1),
% 0.13/0.40 inference(component_clause,[status(thm)],[f457])).
% 0.13/0.40 fof(f460,plain,(
% 0.13/0.40 spl0_0|~spl0_1),
% 0.13/0.40 inference(split_clause,[status(thm)],[f433,f454,f457])).
% 0.13/0.40 fof(f461,plain,(
% 0.13/0.40 spl0_2 <=> ~ssList(X0)|~ssList(X1)|~app(app(X0,sk0_47),X1)=sk0_48|pd0_0(sk0_53(X1,X0),X0,sk0_47)|pd0_1(sk0_54(X1,X0),X1,sk0_47)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f462,plain,(
% 0.13/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~app(app(X0,sk0_47),X1)=sk0_48|pd0_0(sk0_53(X1,X0),X0,sk0_47)|pd0_1(sk0_54(X1,X0),X1,sk0_47)|~spl0_2)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f461])).
% 0.13/0.40 fof(f464,plain,(
% 0.13/0.40 spl0_3 <=> strictorderedP(sk0_47)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f466,plain,(
% 0.13/0.40 ~strictorderedP(sk0_47)|spl0_3),
% 0.13/0.40 inference(component_clause,[status(thm)],[f464])).
% 0.13/0.40 fof(f467,plain,(
% 0.13/0.40 spl0_4 <=> nil=sk0_47),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f468,plain,(
% 0.13/0.40 nil=sk0_47|~spl0_4),
% 0.13/0.40 inference(component_clause,[status(thm)],[f467])).
% 0.13/0.40 fof(f470,plain,(
% 0.13/0.40 spl0_2|~spl0_3|spl0_4),
% 0.13/0.40 inference(split_clause,[status(thm)],[f434,f461,f464,f467])).
% 0.13/0.40 fof(f471,plain,(
% 0.13/0.40 spl0_5 <=> nil=sk0_48),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f473,plain,(
% 0.13/0.40 ~nil=sk0_48|spl0_5),
% 0.13/0.40 inference(component_clause,[status(thm)],[f471])).
% 0.13/0.40 fof(f474,plain,(
% 0.13/0.40 spl0_2|~spl0_3|~spl0_5),
% 0.13/0.40 inference(split_clause,[status(thm)],[f435,f461,f464,f471])).
% 0.13/0.40 fof(f507,plain,(
% 0.13/0.40 strictorderedP(sk0_47)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f426,f430])).
% 0.13/0.40 fof(f508,plain,(
% 0.13/0.40 ~nil=sk0_47|spl0_1),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f426,f459])).
% 0.13/0.40 fof(f509,plain,(
% 0.13/0.40 $false|spl0_3),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f466,f507])).
% 0.13/0.40 fof(f510,plain,(
% 0.13/0.40 spl0_3),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f509])).
% 0.13/0.40 fof(f511,plain,(
% 0.13/0.40 app(app(sk0_51,sk0_47),sk0_52)=sk0_50),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f426,f429])).
% 0.13/0.40 fof(f512,plain,(
% 0.13/0.40 app(app(sk0_51,sk0_47),sk0_52)=sk0_48),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f425,f511])).
% 0.13/0.40 fof(f513,plain,(
% 0.13/0.40 spl0_6 <=> ssList(sk0_51)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f515,plain,(
% 0.13/0.40 ~ssList(sk0_51)|spl0_6),
% 0.13/0.40 inference(component_clause,[status(thm)],[f513])).
% 0.13/0.40 fof(f516,plain,(
% 0.13/0.40 spl0_7 <=> ssList(sk0_52)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f518,plain,(
% 0.13/0.40 ~ssList(sk0_52)|spl0_7),
% 0.13/0.40 inference(component_clause,[status(thm)],[f516])).
% 0.13/0.40 fof(f519,plain,(
% 0.13/0.40 spl0_8 <=> pd0_0(sk0_53(sk0_52,sk0_51),sk0_51,sk0_47)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f520,plain,(
% 0.13/0.40 pd0_0(sk0_53(sk0_52,sk0_51),sk0_51,sk0_47)|~spl0_8),
% 0.13/0.40 inference(component_clause,[status(thm)],[f519])).
% 0.13/0.40 fof(f522,plain,(
% 0.13/0.40 spl0_9 <=> pd0_1(sk0_54(sk0_52,sk0_51),sk0_52,sk0_47)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f523,plain,(
% 0.13/0.40 pd0_1(sk0_54(sk0_52,sk0_51),sk0_52,sk0_47)|~spl0_9),
% 0.13/0.40 inference(component_clause,[status(thm)],[f522])).
% 0.13/0.40 fof(f525,plain,(
% 0.13/0.40 ~ssList(sk0_51)|~ssList(sk0_52)|pd0_0(sk0_53(sk0_52,sk0_51),sk0_51,sk0_47)|pd0_1(sk0_54(sk0_52,sk0_51),sk0_52,sk0_47)|~spl0_2),
% 0.13/0.40 inference(resolution,[status(thm)],[f512,f462])).
% 0.13/0.40 fof(f526,plain,(
% 0.13/0.40 ~spl0_6|~spl0_7|spl0_8|spl0_9|~spl0_2),
% 0.13/0.40 inference(split_clause,[status(thm)],[f525,f513,f516,f519,f522,f461])).
% 0.13/0.40 fof(f532,plain,(
% 0.13/0.40 $false|spl0_7),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f518,f428])).
% 0.13/0.40 fof(f533,plain,(
% 0.13/0.40 spl0_7),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f532])).
% 0.13/0.40 fof(f534,plain,(
% 0.13/0.40 $false|spl0_6),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f515,f427])).
% 0.13/0.40 fof(f535,plain,(
% 0.13/0.40 spl0_6),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f534])).
% 0.13/0.40 fof(f537,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(X1)|~app(X1,cons(X0,nil))=sk0_51|~ssItem(X2)|~ssList(X3)|~app(cons(X2,nil),X3)=sk0_47|~lt(X0,X2))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f426,f431])).
% 0.13/0.40 fof(f538,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(sk0_55(X0,sk0_51,X1))|~ssItem(X2)|~ssList(X3)|~app(cons(X2,nil),X3)=sk0_47|~lt(X0,X2)|~pd0_0(X0,sk0_51,X1))),
% 0.13/0.40 inference(resolution,[status(thm)],[f537,f440])).
% 0.13/0.40 fof(f539,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~ssList(sk0_55(X0,sk0_51,X1))|~ssItem(X2)|~ssList(X3)|~app(cons(X2,nil),X3)=sk0_47|~lt(X0,X2)|~pd0_0(X0,sk0_51,X1))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f538,f438])).
% 0.13/0.40 fof(f540,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk0_52|~ssItem(X2)|~ssList(X3)|~app(X3,cons(X2,nil))=sk0_47|~lt(X2,X0))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f426,f432])).
% 0.13/0.40 fof(f541,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~pd0_1(X0,sk0_52,X1)|~ssItem(X0)|~ssList(sk0_58(X0,sk0_52,X1))|~ssItem(X2)|~ssList(X3)|~app(X3,cons(X2,nil))=sk0_47|~lt(X2,X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f449,f540])).
% 0.13/0.40 fof(f542,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~pd0_1(X0,sk0_52,X1)|~ssList(sk0_58(X0,sk0_52,X1))|~ssItem(X2)|~ssList(X3)|~app(X3,cons(X2,nil))=sk0_47|~lt(X2,X0))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f541,f447])).
% 0.13/0.40 fof(f547,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk0_47|~lt(X2,X0)|~pd0_0(X2,sk0_51,X3))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f539,f439])).
% 0.13/0.40 fof(f548,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~ssItem(sk0_56(X0,X1,sk0_47))|~ssList(sk0_57(X0,X1,sk0_47))|~lt(X2,sk0_56(X0,X1,sk0_47))|~pd0_0(X2,sk0_51,X3)|~pd0_0(X0,X1,sk0_47))),
% 0.21/0.41 inference(resolution,[status(thm)],[f547,f443])).
% 0.21/0.41 fof(f549,plain,(
% 0.21/0.41 ![X0,X1,X2,X3]: (~ssList(sk0_57(X0,X1,sk0_47))|~lt(X2,sk0_56(X0,X1,sk0_47))|~pd0_0(X2,sk0_51,X3)|~pd0_0(X0,X1,sk0_47))),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f548,f441])).
% 0.21/0.41 fof(f553,plain,(
% 0.21/0.41 ![X0,X1,X2,X3]: (~lt(X0,sk0_56(X1,X2,sk0_47))|~pd0_0(X0,sk0_51,X3)|~pd0_0(X1,X2,sk0_47))),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f549,f442])).
% 0.21/0.41 fof(f555,plain,(
% 0.21/0.41 ![X0,X1,X2]: (~pd0_0(X0,sk0_51,X1)|~pd0_0(X0,X2,sk0_47)|~pd0_0(X0,X2,sk0_47))),
% 0.21/0.41 inference(resolution,[status(thm)],[f553,f444])).
% 0.21/0.41 fof(f556,plain,(
% 0.21/0.41 ![X0,X1,X2]: (~pd0_0(X0,sk0_51,X1)|~pd0_0(X0,X2,sk0_47))),
% 0.21/0.41 inference(duplicate_literals_removal,[status(esa)],[f555])).
% 0.21/0.41 fof(f557,plain,(
% 0.21/0.41 ![X0]: (~pd0_0(sk0_53(sk0_52,sk0_51),X0,sk0_47)|~spl0_8)),
% 0.21/0.41 inference(resolution,[status(thm)],[f556,f520])).
% 0.21/0.41 fof(f558,plain,(
% 0.21/0.41 $false|~spl0_8),
% 0.21/0.41 inference(backward_subsumption_resolution,[status(thm)],[f520,f557])).
% 0.21/0.41 fof(f559,plain,(
% 0.21/0.41 ~spl0_8),
% 0.21/0.41 inference(contradiction_clause,[status(thm)],[f558])).
% 0.21/0.41 fof(f561,plain,(
% 0.21/0.41 ![X0,X1,X2,X3]: (~pd0_1(X0,sk0_52,X1)|~ssItem(X2)|~ssList(X3)|~app(X3,cons(X2,nil))=sk0_47|~lt(X2,X0))),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f542,f448])).
% 0.21/0.41 fof(f562,plain,(
% 0.21/0.41 ![X0,X1,X2,X3]: (~pd0_1(X0,sk0_52,X1)|~ssItem(sk0_59(X2,X3,sk0_47))|~ssList(sk0_60(X2,X3,sk0_47))|~lt(sk0_59(X2,X3,sk0_47),X0)|~pd0_1(X2,X3,sk0_47))),
% 0.21/0.41 inference(resolution,[status(thm)],[f561,f452])).
% 0.21/0.41 fof(f563,plain,(
% 0.21/0.41 ![X0,X1,X2,X3]: (~pd0_1(X0,sk0_52,X1)|~ssList(sk0_60(X2,X3,sk0_47))|~lt(sk0_59(X2,X3,sk0_47),X0)|~pd0_1(X2,X3,sk0_47))),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f562,f450])).
% 0.21/0.41 fof(f579,plain,(
% 0.21/0.41 ![X0,X1,X2,X3]: (~pd0_1(X0,sk0_52,X1)|~lt(sk0_59(X2,X3,sk0_47),X0)|~pd0_1(X2,X3,sk0_47))),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f563,f451])).
% 0.21/0.41 fof(f580,plain,(
% 0.21/0.41 ![X0,X1,X2]: (~pd0_1(X0,sk0_52,X1)|~pd0_1(X0,X2,sk0_47)|~pd0_1(X0,X2,sk0_47))),
% 0.21/0.41 inference(resolution,[status(thm)],[f579,f453])).
% 0.21/0.41 fof(f581,plain,(
% 0.21/0.41 ![X0,X1,X2]: (~pd0_1(X0,sk0_52,X1)|~pd0_1(X0,X2,sk0_47))),
% 0.21/0.41 inference(duplicate_literals_removal,[status(esa)],[f580])).
% 0.21/0.41 fof(f583,plain,(
% 0.21/0.41 ![X0]: (~pd0_1(sk0_54(sk0_52,sk0_51),X0,sk0_47)|~spl0_9)),
% 0.21/0.41 inference(resolution,[status(thm)],[f581,f523])).
% 0.21/0.41 fof(f663,plain,(
% 0.21/0.41 $false|~spl0_9),
% 0.21/0.41 inference(backward_subsumption_resolution,[status(thm)],[f523,f583])).
% 0.21/0.41 fof(f664,plain,(
% 0.21/0.41 ~spl0_9),
% 0.21/0.41 inference(contradiction_clause,[status(thm)],[f663])).
% 0.21/0.41 fof(f665,plain,(
% 0.21/0.41 $false|spl0_1|~spl0_4),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f468,f508])).
% 0.21/0.41 fof(f666,plain,(
% 0.21/0.41 spl0_1|~spl0_4),
% 0.21/0.41 inference(contradiction_clause,[status(thm)],[f665])).
% 0.21/0.41 fof(f667,plain,(
% 0.21/0.41 nil=sk0_48|~spl0_0),
% 0.21/0.41 inference(forward_demodulation,[status(thm)],[f425,f455])).
% 0.21/0.41 fof(f668,plain,(
% 0.21/0.41 $false|spl0_5|~spl0_0),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f667,f473])).
% 0.21/0.41 fof(f669,plain,(
% 0.21/0.41 spl0_5|~spl0_0),
% 0.21/0.41 inference(contradiction_clause,[status(thm)],[f668])).
% 0.21/0.41 fof(f670,plain,(
% 0.21/0.41 $false),
% 0.21/0.41 inference(sat_refutation,[status(thm)],[f460,f470,f474,f510,f526,f533,f535,f559,f664,f666,f669])).
% 0.21/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.42 % Elapsed time: 0.052025 seconds
% 0.21/0.42 % CPU time: 0.117777 seconds
% 0.21/0.42 % Total memory used: 23.801 MB
% 0.21/0.42 % Net memory used: 23.694 MB
%------------------------------------------------------------------------------