TSTP Solution File: SWC346+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC346+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 : Wed May 31 12:40:08 EDT 2023
% Result : Theorem 0.09s 0.34s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWC346+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n031.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 11:44:22 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 0.09/0.34 % Refutation found
% 0.09/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.34 fof(f7,axiom,(
% 0.09/0.34 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f17,axiom,(
% 0.09/0.34 ssList(nil) ),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f28,axiom,(
% 0.09/0.34 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f57,axiom,(
% 0.09/0.34 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f68,axiom,(
% 0.09/0.34 (! [U] :( ssItem(U)=> strictorderedP(cons(U,nil)) ) )),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f69,axiom,(
% 0.09/0.34 strictorderedP(nil) ),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f84,axiom,(
% 0.09/0.34 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f96,conjecture,(
% 0.09/0.34 (! [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) ) ) )) )) )) )),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f97,negated_conjecture,(
% 0.09/0.34 ~((! [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) ) ) )) )) )) ))),
% 0.09/0.34 inference(negated_conjecture,[status(cth)],[f96])).
% 0.09/0.34 fof(f131,plain,(
% 0.09/0.34 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.09/0.34 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.09/0.34 fof(f132,plain,(
% 0.09/0.34 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U)))))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.09/0.34 inference(NNF_transformation,[status(esa)],[f131])).
% 0.09/0.34 fof(f133,plain,(
% 0.09/0.34 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(ssList(sk0_7(V,U))&(ssList(sk0_8(V,U))&app(app(sk0_7(V,U),V),sk0_8(V,U))=U)))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.09/0.34 inference(skolemization,[status(esa)],[f132])).
% 0.09/0.34 fof(f137,plain,(
% 0.09/0.34 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f133])).
% 0.09/0.34 fof(f223,plain,(
% 0.09/0.34 ssList(nil)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f17])).
% 0.09/0.34 fof(f248,plain,(
% 0.09/0.34 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.09/0.34 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.09/0.34 fof(f249,plain,(
% 0.09/0.34 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f248])).
% 0.09/0.34 fof(f322,plain,(
% 0.09/0.34 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.09/0.34 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.09/0.34 fof(f323,plain,(
% 0.09/0.34 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f322])).
% 0.09/0.34 fof(f347,plain,(
% 0.09/0.34 ![U]: (~ssItem(U)|strictorderedP(cons(U,nil)))),
% 0.09/0.34 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 0.09/0.34 fof(f348,plain,(
% 0.09/0.34 ![X0]: (~ssItem(X0)|strictorderedP(cons(X0,nil)))),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f347])).
% 0.09/0.34 fof(f349,plain,(
% 0.09/0.34 strictorderedP(nil)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f69])).
% 0.09/0.34 fof(f388,plain,(
% 0.09/0.34 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.09/0.34 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.09/0.34 fof(f389,plain,(
% 0.09/0.34 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f388])).
% 0.09/0.34 fof(f415,plain,(
% 0.09/0.36 (?[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))))))))))),
% 0.09/0.36 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.09/0.36 fof(f416,plain,(
% 0.09/0.36 ![W,X,Y]: (pd0_0(Y,X,W)=>(ssItem(Y)&(?[Z]: (ssList(Z)&(?[X1]: ((((ssList(X1)&cons(Y,nil)=W)&app(app(Z,W),X1)=X)&(![X2]: ((~ssItem(X2)|~memberP(Z,X2))|~lt(Y,X2))))&(![X3]: ((~ssItem(X3)|~memberP(X1,X3))|~lt(X3,Y)))))))))),
% 0.09/0.36 introduced(predicate_definition,[f415])).
% 0.09/0.36 fof(f417,plain,(
% 0.09/0.36 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&((?[Y]: pd0_0(Y,X,W))|(nil=X&nil=W)))&(~segmentP(V,U)|~strictorderedP(U)))))))))),
% 0.09/0.36 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.09/0.36 fof(f418,plain,(
% 0.09/0.36 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&((?[X]: (((ssList(X)&V=X)&U=W)&((?[Y]: pd0_0(Y,X,W))|(nil=X&nil=W))))&(~segmentP(V,U)|~strictorderedP(U))))))))),
% 0.09/0.36 inference(miniscoping,[status(esa)],[f417])).
% 0.09/0.36 fof(f419,plain,(
% 0.09/0.36 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&((((ssList(sk0_50)&sk0_48=sk0_50)&sk0_47=sk0_49)&(pd0_0(sk0_51,sk0_50,sk0_49)|(nil=sk0_50&nil=sk0_49)))&(~segmentP(sk0_48,sk0_47)|~strictorderedP(sk0_47))))))),
% 0.09/0.36 inference(skolemization,[status(esa)],[f418])).
% 0.09/0.36 fof(f420,plain,(
% 0.09/0.36 ssList(sk0_47)),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.09/0.36 fof(f421,plain,(
% 0.09/0.36 ssList(sk0_48)),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.09/0.36 fof(f424,plain,(
% 0.09/0.36 sk0_48=sk0_50),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.09/0.36 fof(f425,plain,(
% 0.09/0.36 sk0_47=sk0_49),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.09/0.36 fof(f426,plain,(
% 0.09/0.36 pd0_0(sk0_51,sk0_50,sk0_49)|nil=sk0_50),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.09/0.36 fof(f427,plain,(
% 0.09/0.36 pd0_0(sk0_51,sk0_50,sk0_49)|nil=sk0_49),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.09/0.36 fof(f428,plain,(
% 0.09/0.36 ~segmentP(sk0_48,sk0_47)|~strictorderedP(sk0_47)),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.09/0.36 fof(f429,plain,(
% 0.09/0.36 ![W,X,Y]: (~pd0_0(Y,X,W)|(ssItem(Y)&(?[Z]: (ssList(Z)&(?[X1]: ((((ssList(X1)&cons(Y,nil)=W)&app(app(Z,W),X1)=X)&(![X2]: ((~ssItem(X2)|~memberP(Z,X2))|~lt(Y,X2))))&(![X3]: ((~ssItem(X3)|~memberP(X1,X3))|~lt(X3,Y)))))))))),
% 0.09/0.36 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.09/0.36 fof(f430,plain,(
% 0.09/0.36 ![W,X,Y]: (~pd0_0(Y,X,W)|(ssItem(Y)&(ssList(sk0_52(Y,X,W))&((((ssList(sk0_53(Y,X,W))&cons(Y,nil)=W)&app(app(sk0_52(Y,X,W),W),sk0_53(Y,X,W))=X)&(![X2]: ((~ssItem(X2)|~memberP(sk0_52(Y,X,W),X2))|~lt(Y,X2))))&(![X3]: ((~ssItem(X3)|~memberP(sk0_53(Y,X,W),X3))|~lt(X3,Y)))))))),
% 0.09/0.36 inference(skolemization,[status(esa)],[f429])).
% 0.09/0.36 fof(f431,plain,(
% 0.09/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssItem(X0))),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f430])).
% 0.09/0.36 fof(f432,plain,(
% 0.09/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssList(sk0_52(X0,X1,X2)))),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f430])).
% 0.09/0.36 fof(f433,plain,(
% 0.09/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssList(sk0_53(X0,X1,X2)))),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f430])).
% 0.09/0.36 fof(f434,plain,(
% 0.09/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|cons(X0,nil)=X2)),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f430])).
% 0.09/0.36 fof(f435,plain,(
% 0.09/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|app(app(sk0_52(X0,X1,X2),X2),sk0_53(X0,X1,X2))=X1)),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f430])).
% 0.09/0.36 fof(f438,plain,(
% 0.09/0.36 spl0_0 <=> pd0_0(sk0_51,sk0_50,sk0_49)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f439,plain,(
% 0.09/0.36 pd0_0(sk0_51,sk0_50,sk0_49)|~spl0_0),
% 0.09/0.36 inference(component_clause,[status(thm)],[f438])).
% 0.09/0.36 fof(f441,plain,(
% 0.09/0.36 spl0_1 <=> nil=sk0_50),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f442,plain,(
% 0.09/0.36 nil=sk0_50|~spl0_1),
% 0.09/0.36 inference(component_clause,[status(thm)],[f441])).
% 0.09/0.36 fof(f444,plain,(
% 0.09/0.36 spl0_0|spl0_1),
% 0.09/0.36 inference(split_clause,[status(thm)],[f426,f438,f441])).
% 0.09/0.36 fof(f445,plain,(
% 0.09/0.36 spl0_2 <=> nil=sk0_49),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f446,plain,(
% 0.09/0.36 nil=sk0_49|~spl0_2),
% 0.09/0.36 inference(component_clause,[status(thm)],[f445])).
% 0.09/0.36 fof(f448,plain,(
% 0.09/0.36 spl0_0|spl0_2),
% 0.09/0.36 inference(split_clause,[status(thm)],[f427,f438,f445])).
% 0.09/0.36 fof(f449,plain,(
% 0.09/0.36 spl0_3 <=> segmentP(sk0_48,sk0_47)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f451,plain,(
% 0.09/0.36 ~segmentP(sk0_48,sk0_47)|spl0_3),
% 0.09/0.36 inference(component_clause,[status(thm)],[f449])).
% 0.09/0.36 fof(f452,plain,(
% 0.09/0.36 spl0_4 <=> strictorderedP(sk0_47)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f454,plain,(
% 0.09/0.36 ~strictorderedP(sk0_47)|spl0_4),
% 0.09/0.36 inference(component_clause,[status(thm)],[f452])).
% 0.09/0.36 fof(f455,plain,(
% 0.09/0.36 ~spl0_3|~spl0_4),
% 0.09/0.36 inference(split_clause,[status(thm)],[f428,f449,f452])).
% 0.09/0.36 fof(f462,plain,(
% 0.09/0.36 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.09/0.36 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.09/0.36 fof(f488,plain,(
% 0.09/0.36 app(nil,nil)=nil),
% 0.09/0.36 inference(resolution,[status(thm)],[f249,f223])).
% 0.09/0.36 fof(f489,plain,(
% 0.09/0.36 app(nil,sk0_48)=sk0_48),
% 0.09/0.36 inference(resolution,[status(thm)],[f249,f421])).
% 0.09/0.36 fof(f490,plain,(
% 0.09/0.36 app(nil,sk0_47)=sk0_47),
% 0.09/0.36 inference(resolution,[status(thm)],[f249,f420])).
% 0.09/0.36 fof(f491,plain,(
% 0.09/0.36 spl0_5 <=> ~ssList(app(nil,X0))|segmentP(app(app(nil,nil),X0),nil)|~ssList(X0)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f494,plain,(
% 0.09/0.36 spl0_6 <=> ssList(nil)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f496,plain,(
% 0.09/0.36 ~ssList(nil)|spl0_6),
% 0.09/0.36 inference(component_clause,[status(thm)],[f494])).
% 0.09/0.36 fof(f497,plain,(
% 0.09/0.36 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|segmentP(app(app(nil,nil),X0),nil)|~ssList(nil)|~ssList(X0))),
% 0.09/0.36 inference(paramodulation,[status(thm)],[f488,f462])).
% 0.09/0.36 fof(f498,plain,(
% 0.09/0.36 spl0_5|~spl0_6),
% 0.09/0.36 inference(split_clause,[status(thm)],[f497,f491,f494])).
% 0.09/0.36 fof(f499,plain,(
% 0.09/0.36 $false|spl0_6),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f496,f223])).
% 0.09/0.36 fof(f500,plain,(
% 0.09/0.36 spl0_6),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f499])).
% 0.09/0.36 fof(f506,plain,(
% 0.09/0.36 pd0_0(sk0_51,sk0_48,sk0_49)|~spl0_0),
% 0.09/0.36 inference(forward_demodulation,[status(thm)],[f424,f439])).
% 0.09/0.36 fof(f507,plain,(
% 0.09/0.36 pd0_0(sk0_51,sk0_48,sk0_47)|~spl0_0),
% 0.09/0.36 inference(forward_demodulation,[status(thm)],[f425,f506])).
% 0.09/0.36 fof(f508,plain,(
% 0.09/0.36 ssItem(sk0_51)|~spl0_0),
% 0.09/0.36 inference(resolution,[status(thm)],[f507,f431])).
% 0.09/0.36 fof(f511,plain,(
% 0.09/0.36 spl0_7 <=> ssItem(sk0_51)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f513,plain,(
% 0.09/0.36 ~ssItem(sk0_51)|spl0_7),
% 0.09/0.36 inference(component_clause,[status(thm)],[f511])).
% 0.09/0.36 fof(f524,plain,(
% 0.09/0.36 nil=sk0_48|~spl0_1),
% 0.09/0.36 inference(forward_demodulation,[status(thm)],[f424,f442])).
% 0.09/0.36 fof(f525,plain,(
% 0.09/0.36 nil=sk0_47|~spl0_2),
% 0.09/0.36 inference(forward_demodulation,[status(thm)],[f425,f446])).
% 0.09/0.36 fof(f529,plain,(
% 0.09/0.36 ~strictorderedP(nil)|~spl0_2|spl0_4),
% 0.09/0.36 inference(backward_demodulation,[status(thm)],[f525,f454])).
% 0.09/0.36 fof(f530,plain,(
% 0.09/0.36 $false|~spl0_2|spl0_4),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f529,f349])).
% 0.09/0.36 fof(f531,plain,(
% 0.09/0.36 ~spl0_2|spl0_4),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f530])).
% 0.09/0.36 fof(f532,plain,(
% 0.09/0.36 $false|spl0_7|~spl0_0),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f508,f513])).
% 0.09/0.36 fof(f533,plain,(
% 0.09/0.36 spl0_7|~spl0_0),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f532])).
% 0.09/0.36 fof(f539,plain,(
% 0.09/0.36 ~segmentP(nil,sk0_47)|~spl0_1|spl0_3),
% 0.09/0.36 inference(forward_demodulation,[status(thm)],[f524,f451])).
% 0.09/0.36 fof(f540,plain,(
% 0.09/0.36 ~segmentP(nil,nil)|~spl0_2|~spl0_1|spl0_3),
% 0.09/0.36 inference(forward_demodulation,[status(thm)],[f525,f539])).
% 0.09/0.36 fof(f541,plain,(
% 0.09/0.36 ~ssList(nil)|~spl0_2|~spl0_1|spl0_3),
% 0.09/0.36 inference(resolution,[status(thm)],[f540,f323])).
% 0.09/0.36 fof(f542,plain,(
% 0.09/0.36 ~spl0_6|~spl0_2|~spl0_1|spl0_3),
% 0.09/0.36 inference(split_clause,[status(thm)],[f541,f494,f445,f441,f449])).
% 0.09/0.36 fof(f552,plain,(
% 0.09/0.36 spl0_10 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f553,plain,(
% 0.09/0.36 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)|~spl0_10)),
% 0.09/0.36 inference(component_clause,[status(thm)],[f552])).
% 0.09/0.36 fof(f555,plain,(
% 0.09/0.36 spl0_11 <=> ssList(sk0_48)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f557,plain,(
% 0.09/0.36 ~ssList(sk0_48)|spl0_11),
% 0.09/0.36 inference(component_clause,[status(thm)],[f555])).
% 0.09/0.36 fof(f558,plain,(
% 0.09/0.36 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_48)|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(nil)|~ssList(X0))),
% 0.09/0.36 inference(paramodulation,[status(thm)],[f489,f462])).
% 0.09/0.36 fof(f559,plain,(
% 0.09/0.36 spl0_10|~spl0_11|~spl0_6),
% 0.09/0.36 inference(split_clause,[status(thm)],[f558,f552,f555,f494])).
% 0.09/0.36 fof(f560,plain,(
% 0.09/0.36 $false|spl0_11),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f557,f421])).
% 0.09/0.36 fof(f561,plain,(
% 0.09/0.36 spl0_11),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f560])).
% 0.09/0.36 fof(f562,plain,(
% 0.09/0.36 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_48)|~ssList(X0)|~spl0_10)),
% 0.09/0.36 inference(forward_demodulation,[status(thm)],[f489,f553])).
% 0.09/0.36 fof(f563,plain,(
% 0.09/0.36 spl0_12 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f564,plain,(
% 0.09/0.36 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)|~spl0_12)),
% 0.09/0.36 inference(component_clause,[status(thm)],[f563])).
% 0.09/0.36 fof(f566,plain,(
% 0.09/0.36 spl0_13 <=> ssList(sk0_47)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f568,plain,(
% 0.09/0.36 ~ssList(sk0_47)|spl0_13),
% 0.09/0.36 inference(component_clause,[status(thm)],[f566])).
% 0.09/0.36 fof(f569,plain,(
% 0.09/0.36 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_47)|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(nil)|~ssList(X0))),
% 0.09/0.36 inference(paramodulation,[status(thm)],[f490,f462])).
% 0.09/0.36 fof(f570,plain,(
% 0.09/0.36 spl0_12|~spl0_13|~spl0_6),
% 0.09/0.36 inference(split_clause,[status(thm)],[f569,f563,f566,f494])).
% 0.09/0.36 fof(f571,plain,(
% 0.09/0.36 $false|spl0_13),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f568,f420])).
% 0.09/0.36 fof(f572,plain,(
% 0.09/0.36 spl0_13),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f571])).
% 0.09/0.36 fof(f573,plain,(
% 0.09/0.36 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(sk0_47,X0),sk0_47)|~ssList(X0)|~spl0_12)),
% 0.09/0.36 inference(forward_demodulation,[status(thm)],[f490,f564])).
% 0.09/0.36 fof(f576,plain,(
% 0.09/0.36 cons(sk0_51,nil)=sk0_47|~spl0_0),
% 0.09/0.36 inference(resolution,[status(thm)],[f434,f507])).
% 0.09/0.36 fof(f579,plain,(
% 0.09/0.36 app(app(sk0_52(sk0_51,sk0_48,sk0_47),sk0_47),sk0_53(sk0_51,sk0_48,sk0_47))=sk0_48|~spl0_0),
% 0.09/0.36 inference(resolution,[status(thm)],[f435,f507])).
% 0.09/0.36 fof(f582,plain,(
% 0.09/0.36 app(sk0_47,nil)=sk0_47),
% 0.09/0.36 inference(resolution,[status(thm)],[f389,f420])).
% 0.09/0.36 fof(f583,plain,(
% 0.09/0.36 app(sk0_48,nil)=sk0_48),
% 0.09/0.36 inference(resolution,[status(thm)],[f389,f421])).
% 0.09/0.36 fof(f585,plain,(
% 0.09/0.36 spl0_14 <=> ssList(app(sk0_47,nil))),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f587,plain,(
% 0.09/0.36 ~ssList(app(sk0_47,nil))|spl0_14),
% 0.09/0.36 inference(component_clause,[status(thm)],[f585])).
% 0.09/0.36 fof(f588,plain,(
% 0.09/0.36 spl0_15 <=> segmentP(sk0_47,sk0_47)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f591,plain,(
% 0.09/0.36 ~ssList(app(sk0_47,nil))|segmentP(sk0_47,sk0_47)|~ssList(nil)|~spl0_12),
% 0.09/0.36 inference(paramodulation,[status(thm)],[f582,f573])).
% 0.09/0.36 fof(f592,plain,(
% 0.09/0.36 ~spl0_14|spl0_15|~spl0_6|~spl0_12),
% 0.09/0.36 inference(split_clause,[status(thm)],[f591,f585,f588,f494,f563])).
% 0.09/0.36 fof(f593,plain,(
% 0.09/0.36 spl0_16 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(X0)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f596,plain,(
% 0.09/0.36 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(nil)|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(sk0_47)|~ssList(X0))),
% 0.09/0.36 inference(paramodulation,[status(thm)],[f582,f462])).
% 0.09/0.36 fof(f597,plain,(
% 0.09/0.36 spl0_16|~spl0_6|~spl0_13),
% 0.09/0.36 inference(split_clause,[status(thm)],[f596,f593,f494,f566])).
% 0.09/0.36 fof(f598,plain,(
% 0.09/0.36 ~ssList(sk0_47)|spl0_14),
% 0.09/0.36 inference(forward_demodulation,[status(thm)],[f582,f587])).
% 0.09/0.36 fof(f599,plain,(
% 0.09/0.36 $false|spl0_14),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f598,f420])).
% 0.09/0.36 fof(f600,plain,(
% 0.09/0.36 spl0_14),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f599])).
% 0.09/0.36 fof(f603,plain,(
% 0.09/0.36 spl0_17 <=> ssList(app(sk0_48,nil))),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f605,plain,(
% 0.09/0.36 ~ssList(app(sk0_48,nil))|spl0_17),
% 0.09/0.36 inference(component_clause,[status(thm)],[f603])).
% 0.09/0.36 fof(f606,plain,(
% 0.09/0.36 spl0_18 <=> segmentP(sk0_48,sk0_48)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f609,plain,(
% 0.09/0.36 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_48)|~ssList(nil)|~spl0_10),
% 0.09/0.36 inference(paramodulation,[status(thm)],[f583,f562])).
% 0.09/0.36 fof(f610,plain,(
% 0.09/0.36 ~spl0_17|spl0_18|~spl0_6|~spl0_10),
% 0.09/0.36 inference(split_clause,[status(thm)],[f609,f603,f606,f494,f552])).
% 0.09/0.36 fof(f611,plain,(
% 0.09/0.36 spl0_19 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(X0)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f614,plain,(
% 0.09/0.36 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(nil)|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(sk0_48)|~ssList(X0))),
% 0.09/0.36 inference(paramodulation,[status(thm)],[f583,f462])).
% 0.09/0.36 fof(f615,plain,(
% 0.09/0.36 spl0_19|~spl0_6|~spl0_11),
% 0.09/0.36 inference(split_clause,[status(thm)],[f614,f611,f494,f555])).
% 0.09/0.36 fof(f616,plain,(
% 0.09/0.36 ~ssList(sk0_48)|spl0_17),
% 0.09/0.36 inference(forward_demodulation,[status(thm)],[f583,f605])).
% 0.09/0.36 fof(f617,plain,(
% 0.09/0.36 $false|spl0_17),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f616,f421])).
% 0.09/0.36 fof(f618,plain,(
% 0.09/0.36 spl0_17),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f617])).
% 0.09/0.36 fof(f658,plain,(
% 0.09/0.36 ~ssItem(sk0_51)|strictorderedP(sk0_47)|~spl0_0),
% 0.09/0.36 inference(paramodulation,[status(thm)],[f576,f348])).
% 0.09/0.36 fof(f659,plain,(
% 0.09/0.36 ~spl0_7|spl0_4|~spl0_0),
% 0.09/0.36 inference(split_clause,[status(thm)],[f658,f511,f452,f438])).
% 0.09/0.36 fof(f703,plain,(
% 0.09/0.36 spl0_27 <=> segmentP(app(app(sk0_52(sk0_51,sk0_48,sk0_47),sk0_47),sk0_53(sk0_51,sk0_48,sk0_47)),sk0_47)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f704,plain,(
% 0.09/0.36 segmentP(app(app(sk0_52(sk0_51,sk0_48,sk0_47),sk0_47),sk0_53(sk0_51,sk0_48,sk0_47)),sk0_47)|~spl0_27),
% 0.09/0.36 inference(component_clause,[status(thm)],[f703])).
% 0.09/0.36 fof(f706,plain,(
% 0.09/0.36 spl0_28 <=> ssList(sk0_52(sk0_51,sk0_48,sk0_47))),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f708,plain,(
% 0.09/0.36 ~ssList(sk0_52(sk0_51,sk0_48,sk0_47))|spl0_28),
% 0.09/0.36 inference(component_clause,[status(thm)],[f706])).
% 0.09/0.36 fof(f709,plain,(
% 0.09/0.36 spl0_29 <=> ssList(sk0_53(sk0_51,sk0_48,sk0_47))),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f711,plain,(
% 0.09/0.36 ~ssList(sk0_53(sk0_51,sk0_48,sk0_47))|spl0_29),
% 0.09/0.36 inference(component_clause,[status(thm)],[f709])).
% 0.09/0.36 fof(f712,plain,(
% 0.09/0.36 ~ssList(sk0_48)|~ssList(sk0_47)|segmentP(app(app(sk0_52(sk0_51,sk0_48,sk0_47),sk0_47),sk0_53(sk0_51,sk0_48,sk0_47)),sk0_47)|~ssList(sk0_52(sk0_51,sk0_48,sk0_47))|~ssList(sk0_53(sk0_51,sk0_48,sk0_47))|~spl0_0),
% 0.09/0.36 inference(paramodulation,[status(thm)],[f579,f462])).
% 0.09/0.36 fof(f713,plain,(
% 0.09/0.36 ~spl0_11|~spl0_13|spl0_27|~spl0_28|~spl0_29|~spl0_0),
% 0.09/0.36 inference(split_clause,[status(thm)],[f712,f555,f566,f703,f706,f709,f438])).
% 0.09/0.36 fof(f727,plain,(
% 0.09/0.36 ~pd0_0(sk0_51,sk0_48,sk0_47)|spl0_28),
% 0.09/0.36 inference(resolution,[status(thm)],[f708,f432])).
% 0.09/0.36 fof(f728,plain,(
% 0.09/0.36 $false|~spl0_0|spl0_28),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f727,f507])).
% 0.09/0.36 fof(f729,plain,(
% 0.09/0.36 ~spl0_0|spl0_28),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f728])).
% 0.09/0.36 fof(f731,plain,(
% 0.09/0.36 ~pd0_0(sk0_51,sk0_48,sk0_47)|spl0_29),
% 0.09/0.36 inference(resolution,[status(thm)],[f711,f433])).
% 0.09/0.36 fof(f732,plain,(
% 0.09/0.36 $false|~spl0_0|spl0_29),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f731,f507])).
% 0.09/0.36 fof(f733,plain,(
% 0.09/0.36 ~spl0_0|spl0_29),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f732])).
% 0.09/0.36 fof(f734,plain,(
% 0.09/0.36 segmentP(sk0_48,sk0_47)|~spl0_0|~spl0_27),
% 0.09/0.36 inference(forward_demodulation,[status(thm)],[f579,f704])).
% 0.09/0.36 fof(f735,plain,(
% 0.09/0.36 $false|spl0_3|~spl0_0|~spl0_27),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f734,f451])).
% 0.09/0.36 fof(f736,plain,(
% 0.09/0.36 spl0_3|~spl0_0|~spl0_27),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f735])).
% 0.09/0.36 fof(f737,plain,(
% 0.09/0.36 $false),
% 0.09/0.36 inference(sat_refutation,[status(thm)],[f444,f448,f455,f498,f500,f531,f533,f542,f559,f561,f570,f572,f592,f597,f600,f610,f615,f618,f659,f713,f729,f733,f736])).
% 0.09/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.58 % Elapsed time: 0.042165 seconds
% 0.13/0.58 % CPU time: 0.023719 seconds
% 0.13/0.58 % Memory used: 4.250 MB
%------------------------------------------------------------------------------