TSTP Solution File: SWC016+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC016+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:38:53 EDT 2023
% Result : Theorem 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SWC016+1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n001.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:52:15 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.33 fof(f15,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f17,axiom,(
% 0.15/0.33 ssList(nil) ),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f42,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> frontsegP(U,U) ) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f45,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> frontsegP(U,nil) ) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f46,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> ( frontsegP(nil,U)<=> nil = U ) ) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f96,conjecture,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( nil != W& nil = X )| ( (! [Y] :( ssList(Y)=> ( ~ neq(Y,nil)| ~ frontsegP(X,Y)| ~ frontsegP(W,Y) ) ))& neq(X,nil) )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Z] :( ssList(Z)& neq(Z,nil)& frontsegP(V,Z)& frontsegP(U,Z) ) )) ) ) ) )) )) )) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f97,negated_conjecture,(
% 0.15/0.33 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( nil != W& nil = X )| ( (! [Y] :( ssList(Y)=> ( ~ neq(Y,nil)| ~ frontsegP(X,Y)| ~ frontsegP(W,Y) ) ))& neq(X,nil) )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Z] :( ssList(Z)& neq(Z,nil)& frontsegP(V,Z)& frontsegP(U,Z) ) )) ) ) ) )) )) )) ))),
% 0.15/0.33 inference(negated_conjecture,[status(cth)],[f96])).
% 0.15/0.33 fof(f217,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.15/0.33 fof(f218,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f217])).
% 0.15/0.33 fof(f220,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f218])).
% 0.15/0.33 fof(f223,plain,(
% 0.15/0.33 ssList(nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.33 fof(f285,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|frontsegP(U,U))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.15/0.33 fof(f286,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f285])).
% 0.15/0.33 fof(f294,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|frontsegP(U,nil))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.15/0.33 fof(f295,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f294])).
% 0.15/0.33 fof(f296,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(frontsegP(nil,U)<=>nil=U))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 0.15/0.33 fof(f297,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|((~frontsegP(nil,U)|nil=U)&(frontsegP(nil,U)|~nil=U)))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f296])).
% 0.15/0.33 fof(f298,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|nil=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f297])).
% 0.15/0.33 fof(f415,plain,(
% 0.15/0.33 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(nil=W|~nil=X))&((?[Y]: (ssList(Y)&((neq(Y,nil)&frontsegP(X,Y))&frontsegP(W,Y))))|~neq(X,nil)))&((nil=V&~nil=U)|(neq(V,nil)&(![Z]: (((~ssList(Z)|~neq(Z,nil))|~frontsegP(V,Z))|~frontsegP(U,Z))))))))))))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.15/0.33 fof(f416,plain,(
% 0.15/0.33 ![U,V]: (pd0_0(V,U)=>(nil=V&~nil=U))),
% 0.15/0.33 introduced(predicate_definition,[f415])).
% 0.15/0.33 fof(f417,plain,(
% 0.15/0.33 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(nil=W|~nil=X))&((?[Y]: (ssList(Y)&((neq(Y,nil)&frontsegP(X,Y))&frontsegP(W,Y))))|~neq(X,nil)))&(pd0_0(V,U)|(neq(V,nil)&(![Z]: (((~ssList(Z)|~neq(Z,nil))|~frontsegP(V,Z))|~frontsegP(U,Z)))))))))))))),
% 0.15/0.33 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.15/0.33 fof(f418,plain,(
% 0.15/0.33 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((((sk0_48=sk0_50&sk0_47=sk0_49)&(nil=sk0_49|~nil=sk0_50))&((ssList(sk0_51)&((neq(sk0_51,nil)&frontsegP(sk0_50,sk0_51))&frontsegP(sk0_49,sk0_51)))|~neq(sk0_50,nil)))&(pd0_0(sk0_48,sk0_47)|(neq(sk0_48,nil)&(![Z]: (((~ssList(Z)|~neq(Z,nil))|~frontsegP(sk0_48,Z))|~frontsegP(sk0_47,Z))))))))))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f417])).
% 0.15/0.33 fof(f420,plain,(
% 0.15/0.33 ssList(sk0_48)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.33 fof(f423,plain,(
% 0.15/0.33 sk0_48=sk0_50),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.33 fof(f424,plain,(
% 0.15/0.33 sk0_47=sk0_49),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.33 fof(f425,plain,(
% 0.15/0.33 nil=sk0_49|~nil=sk0_50),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.33 fof(f426,plain,(
% 0.15/0.33 ssList(sk0_51)|~neq(sk0_50,nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.33 fof(f427,plain,(
% 0.15/0.33 neq(sk0_51,nil)|~neq(sk0_50,nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.33 fof(f428,plain,(
% 0.15/0.33 frontsegP(sk0_50,sk0_51)|~neq(sk0_50,nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.33 fof(f429,plain,(
% 0.15/0.33 frontsegP(sk0_49,sk0_51)|~neq(sk0_50,nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.33 fof(f430,plain,(
% 0.15/0.33 pd0_0(sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.33 fof(f431,plain,(
% 0.15/0.33 ![X0]: (pd0_0(sk0_48,sk0_47)|~ssList(X0)|~neq(X0,nil)|~frontsegP(sk0_48,X0)|~frontsegP(sk0_47,X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.33 fof(f432,plain,(
% 0.15/0.33 ![U,V]: (~pd0_0(V,U)|(nil=V&~nil=U))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f433,plain,(
% 0.15/0.33 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f432])).
% 0.15/0.33 fof(f434,plain,(
% 0.15/0.33 ![X0,X1]: (~pd0_0(X0,X1)|~nil=X1)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f432])).
% 0.15/0.33 fof(f435,plain,(
% 0.15/0.33 spl0_0 <=> nil=sk0_49),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f436,plain,(
% 0.15/0.33 nil=sk0_49|~spl0_0),
% 0.15/0.33 inference(component_clause,[status(thm)],[f435])).
% 0.15/0.33 fof(f438,plain,(
% 0.15/0.33 spl0_1 <=> nil=sk0_50),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f440,plain,(
% 0.15/0.33 ~nil=sk0_50|spl0_1),
% 0.15/0.33 inference(component_clause,[status(thm)],[f438])).
% 0.15/0.33 fof(f441,plain,(
% 0.15/0.33 spl0_0|~spl0_1),
% 0.15/0.33 inference(split_clause,[status(thm)],[f425,f435,f438])).
% 0.15/0.33 fof(f442,plain,(
% 0.15/0.33 spl0_2 <=> ssList(sk0_51)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f445,plain,(
% 0.15/0.33 spl0_3 <=> neq(sk0_50,nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f447,plain,(
% 0.15/0.33 ~neq(sk0_50,nil)|spl0_3),
% 0.15/0.33 inference(component_clause,[status(thm)],[f445])).
% 0.15/0.33 fof(f448,plain,(
% 0.15/0.33 spl0_2|~spl0_3),
% 0.15/0.33 inference(split_clause,[status(thm)],[f426,f442,f445])).
% 0.15/0.33 fof(f449,plain,(
% 0.15/0.33 spl0_4 <=> neq(sk0_51,nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f452,plain,(
% 0.15/0.33 spl0_4|~spl0_3),
% 0.15/0.33 inference(split_clause,[status(thm)],[f427,f449,f445])).
% 0.15/0.33 fof(f453,plain,(
% 0.15/0.33 spl0_5 <=> frontsegP(sk0_50,sk0_51)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f454,plain,(
% 0.15/0.33 frontsegP(sk0_50,sk0_51)|~spl0_5),
% 0.15/0.33 inference(component_clause,[status(thm)],[f453])).
% 0.15/0.33 fof(f456,plain,(
% 0.15/0.33 spl0_5|~spl0_3),
% 0.15/0.33 inference(split_clause,[status(thm)],[f428,f453,f445])).
% 0.15/0.33 fof(f457,plain,(
% 0.15/0.33 spl0_6 <=> frontsegP(sk0_49,sk0_51)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f458,plain,(
% 0.15/0.33 frontsegP(sk0_49,sk0_51)|~spl0_6),
% 0.15/0.33 inference(component_clause,[status(thm)],[f457])).
% 0.15/0.33 fof(f460,plain,(
% 0.15/0.33 spl0_6|~spl0_3),
% 0.15/0.33 inference(split_clause,[status(thm)],[f429,f457,f445])).
% 0.15/0.33 fof(f461,plain,(
% 0.15/0.33 spl0_7 <=> pd0_0(sk0_48,sk0_47)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f462,plain,(
% 0.15/0.33 pd0_0(sk0_48,sk0_47)|~spl0_7),
% 0.15/0.33 inference(component_clause,[status(thm)],[f461])).
% 0.15/0.33 fof(f464,plain,(
% 0.15/0.33 spl0_8 <=> neq(sk0_48,nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f467,plain,(
% 0.15/0.33 spl0_7|spl0_8),
% 0.15/0.33 inference(split_clause,[status(thm)],[f430,f461,f464])).
% 0.15/0.33 fof(f468,plain,(
% 0.15/0.33 spl0_9 <=> ~ssList(X0)|~neq(X0,nil)|~frontsegP(sk0_48,X0)|~frontsegP(sk0_47,X0)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f469,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk0_48,X0)|~frontsegP(sk0_47,X0)|~spl0_9)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f468])).
% 0.15/0.33 fof(f471,plain,(
% 0.15/0.33 spl0_7|spl0_9),
% 0.15/0.33 inference(split_clause,[status(thm)],[f431,f461,f468])).
% 0.15/0.33 fof(f502,plain,(
% 0.15/0.33 ![X0]: (~pd0_0(X0,nil))),
% 0.15/0.33 inference(destructive_equality_resolution,[status(esa)],[f434])).
% 0.15/0.33 fof(f505,plain,(
% 0.15/0.33 spl0_10 <=> ssList(nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f507,plain,(
% 0.15/0.33 ~ssList(nil)|spl0_10),
% 0.15/0.33 inference(component_clause,[status(thm)],[f505])).
% 0.15/0.33 fof(f508,plain,(
% 0.15/0.33 spl0_11 <=> nil=nil),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f511,plain,(
% 0.15/0.33 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.15/0.33 inference(resolution,[status(thm)],[f298,f295])).
% 0.15/0.33 fof(f512,plain,(
% 0.15/0.33 ~spl0_10|spl0_11),
% 0.15/0.33 inference(split_clause,[status(thm)],[f511,f505,f508])).
% 0.15/0.33 fof(f515,plain,(
% 0.15/0.33 $false|spl0_10),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f507,f223])).
% 0.15/0.33 fof(f516,plain,(
% 0.15/0.33 spl0_10),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f515])).
% 0.15/0.33 fof(f537,plain,(
% 0.15/0.33 ~nil=sk0_48|spl0_1),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f423,f440])).
% 0.15/0.33 fof(f538,plain,(
% 0.15/0.33 ~neq(sk0_48,nil)|spl0_3),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f423,f447])).
% 0.15/0.33 fof(f539,plain,(
% 0.15/0.33 spl0_16 <=> ssList(sk0_48)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f541,plain,(
% 0.15/0.33 ~ssList(sk0_48)|spl0_16),
% 0.15/0.33 inference(component_clause,[status(thm)],[f539])).
% 0.15/0.33 fof(f542,plain,(
% 0.15/0.33 spl0_17 <=> sk0_48=nil),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f543,plain,(
% 0.15/0.33 sk0_48=nil|~spl0_17),
% 0.15/0.33 inference(component_clause,[status(thm)],[f542])).
% 0.15/0.33 fof(f545,plain,(
% 0.15/0.33 ~ssList(sk0_48)|~ssList(nil)|sk0_48=nil|spl0_3),
% 0.15/0.33 inference(resolution,[status(thm)],[f538,f220])).
% 0.15/0.33 fof(f546,plain,(
% 0.15/0.33 ~spl0_16|~spl0_10|spl0_17|spl0_3),
% 0.15/0.33 inference(split_clause,[status(thm)],[f545,f539,f505,f542,f445])).
% 0.15/0.33 fof(f547,plain,(
% 0.15/0.33 $false|spl0_16),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f541,f420])).
% 0.15/0.33 fof(f548,plain,(
% 0.15/0.33 spl0_16),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f547])).
% 0.15/0.33 fof(f549,plain,(
% 0.15/0.33 frontsegP(sk0_48,sk0_51)|~spl0_5),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f423,f454])).
% 0.15/0.33 fof(f550,plain,(
% 0.15/0.33 frontsegP(sk0_47,sk0_51)|~spl0_6),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f424,f458])).
% 0.15/0.33 fof(f552,plain,(
% 0.15/0.33 nil=sk0_48|~spl0_7),
% 0.15/0.33 inference(resolution,[status(thm)],[f462,f433])).
% 0.15/0.33 fof(f553,plain,(
% 0.15/0.33 $false|spl0_1|~spl0_7),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f552,f537])).
% 0.15/0.33 fof(f554,plain,(
% 0.15/0.33 spl0_1|~spl0_7),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f553])).
% 0.15/0.33 fof(f555,plain,(
% 0.15/0.33 nil=sk0_47|~spl0_0),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f424,f436])).
% 0.15/0.33 fof(f564,plain,(
% 0.15/0.33 pd0_0(sk0_48,nil)|~spl0_0|~spl0_7),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f555,f462])).
% 0.15/0.33 fof(f565,plain,(
% 0.15/0.33 $false|~spl0_0|~spl0_7),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f564,f502])).
% 0.15/0.33 fof(f566,plain,(
% 0.15/0.33 ~spl0_0|~spl0_7),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f565])).
% 0.15/0.33 fof(f567,plain,(
% 0.15/0.33 spl0_19 <=> frontsegP(sk0_47,sk0_51)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f569,plain,(
% 0.15/0.33 ~frontsegP(sk0_47,sk0_51)|spl0_19),
% 0.15/0.33 inference(component_clause,[status(thm)],[f567])).
% 0.15/0.33 fof(f570,plain,(
% 0.15/0.33 ~ssList(sk0_51)|~neq(sk0_51,nil)|~frontsegP(sk0_47,sk0_51)|~spl0_9|~spl0_5),
% 0.15/0.33 inference(resolution,[status(thm)],[f469,f549])).
% 0.15/0.33 fof(f571,plain,(
% 0.15/0.33 ~spl0_2|~spl0_4|~spl0_19|~spl0_9|~spl0_5),
% 0.15/0.33 inference(split_clause,[status(thm)],[f570,f442,f449,f567,f468,f453])).
% 0.15/0.33 fof(f580,plain,(
% 0.15/0.33 spl0_22 <=> frontsegP(sk0_47,sk0_48)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f582,plain,(
% 0.15/0.33 ~frontsegP(sk0_47,sk0_48)|spl0_22),
% 0.15/0.33 inference(component_clause,[status(thm)],[f580])).
% 0.15/0.33 fof(f583,plain,(
% 0.15/0.33 ~ssList(sk0_48)|~neq(sk0_48,nil)|~frontsegP(sk0_47,sk0_48)|~ssList(sk0_48)|~spl0_9),
% 0.15/0.33 inference(resolution,[status(thm)],[f469,f286])).
% 0.15/0.33 fof(f584,plain,(
% 0.15/0.33 ~spl0_16|~spl0_8|~spl0_22|~spl0_9),
% 0.15/0.33 inference(split_clause,[status(thm)],[f583,f539,f464,f580,f468])).
% 0.15/0.33 fof(f606,plain,(
% 0.15/0.33 $false|~spl0_6|spl0_19),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f569,f550])).
% 0.15/0.33 fof(f607,plain,(
% 0.15/0.33 ~spl0_6|spl0_19),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f606])).
% 0.15/0.33 fof(f615,plain,(
% 0.15/0.33 ~frontsegP(nil,sk0_48)|~spl0_0|spl0_22),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f555,f582])).
% 0.15/0.33 fof(f616,plain,(
% 0.15/0.33 ~frontsegP(nil,nil)|~spl0_17|~spl0_0|spl0_22),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f543,f615])).
% 0.15/0.33 fof(f617,plain,(
% 0.15/0.33 ~ssList(nil)|~spl0_17|~spl0_0|spl0_22),
% 0.15/0.33 inference(resolution,[status(thm)],[f616,f295])).
% 0.15/0.33 fof(f618,plain,(
% 0.15/0.33 ~spl0_10|~spl0_17|~spl0_0|spl0_22),
% 0.15/0.33 inference(split_clause,[status(thm)],[f617,f505,f542,f435,f580])).
% 0.15/0.33 fof(f622,plain,(
% 0.15/0.33 ~nil=nil|~spl0_17|spl0_1),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f543,f537])).
% 0.15/0.33 fof(f623,plain,(
% 0.15/0.33 $false|~spl0_17|spl0_1),
% 0.15/0.33 inference(trivial_equality_resolution,[status(esa)],[f622])).
% 0.15/0.33 fof(f624,plain,(
% 0.15/0.33 ~spl0_17|spl0_1),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f623])).
% 0.15/0.33 fof(f625,plain,(
% 0.15/0.33 $false),
% 0.15/0.33 inference(sat_refutation,[status(thm)],[f441,f448,f452,f456,f460,f467,f471,f512,f516,f546,f548,f554,f566,f571,f584,f607,f618,f624])).
% 0.15/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.55 % Elapsed time: 0.017895 seconds
% 0.15/0.55 % CPU time: 0.020077 seconds
% 0.15/0.55 % Memory used: 4.124 MB
%------------------------------------------------------------------------------