TSTP Solution File: SWC069+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC069+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:44:24 EDT 2024
% Result : Theorem 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SWC069+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 00:03:56 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.32 fof(f1,axiom,(
% 0.15/0.32 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f2,axiom,(
% 0.15/0.32 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f15,axiom,(
% 0.15/0.32 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f17,axiom,(
% 0.15/0.32 ssList(nil) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f53,axiom,(
% 0.15/0.32 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( segmentP(U,V)& segmentP(V,W) )=> segmentP(U,W) ) ) )) )) )),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f54,axiom,(
% 0.15/0.32 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( segmentP(U,V)& segmentP(V,U) )=> U = V ) ) )) )),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f55,axiom,(
% 0.15/0.32 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f57,axiom,(
% 0.15/0.32 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f58,axiom,(
% 0.15/0.32 (! [U] :( ssList(U)=> ( segmentP(nil,U)<=> nil = U ) ) )),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f96,conjecture,(
% 0.15/0.32 (! [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 != W& nil = X )| ( nil = V& nil = U )| ( (! [Z] :( ssList(Z)=> ( ~ neq(Z,nil)| ~ segmentP(X,Z)| ~ segmentP(W,Z) ) ))& neq(X,nil) ) ) ) )) )) )) )),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f97,negated_conjecture,(
% 0.15/0.32 ~((! [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 != W& nil = X )| ( nil = V& nil = U )| ( (! [Z] :( ssList(Z)=> ( ~ neq(Z,nil)| ~ segmentP(X,Z)| ~ segmentP(W,Z) ) ))& neq(X,nil) ) ) ) )) )) )) ))),
% 0.15/0.32 inference(negated_conjecture,[status(cth)],[f96])).
% 0.15/0.32 fof(f98,plain,(
% 0.15/0.32 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.15/0.32 fof(f99,plain,(
% 0.15/0.32 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.15/0.32 inference(NNF_transformation,[status(esa)],[f98])).
% 0.15/0.32 fof(f100,plain,(
% 0.15/0.32 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~neq(X0,X1)|~X0=X1)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f99])).
% 0.15/0.32 fof(f101,plain,(
% 0.15/0.32 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X0,X1)|X0=X1)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f99])).
% 0.15/0.32 fof(f102,plain,(
% 0.15/0.32 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 0.15/0.32 inference(skolemization,[status(esa)],[f2])).
% 0.15/0.32 fof(f103,plain,(
% 0.15/0.32 ssItem(sk0_0)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f102])).
% 0.15/0.32 fof(f104,plain,(
% 0.15/0.32 ssItem(sk0_1)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f102])).
% 0.15/0.32 fof(f105,plain,(
% 0.15/0.32 ~sk0_0=sk0_1),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f102])).
% 0.15/0.32 fof(f217,plain,(
% 0.15/0.32 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.15/0.32 fof(f218,plain,(
% 0.15/0.32 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.15/0.32 inference(NNF_transformation,[status(esa)],[f217])).
% 0.15/0.32 fof(f219,plain,(
% 0.15/0.32 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f218])).
% 0.15/0.32 fof(f220,plain,(
% 0.15/0.32 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f218])).
% 0.15/0.32 fof(f223,plain,(
% 0.15/0.32 ssList(nil)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.32 fof(f314,plain,(
% 0.15/0.32 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~segmentP(U,V)|~segmentP(V,W))|segmentP(U,W)))))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 0.15/0.32 fof(f315,plain,(
% 0.15/0.32 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~segmentP(X0,X1)|~segmentP(X1,X2)|segmentP(X0,X2))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f314])).
% 0.15/0.32 fof(f316,plain,(
% 0.15/0.32 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|~segmentP(V,U))|U=V))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 0.15/0.32 fof(f317,plain,(
% 0.15/0.32 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|~segmentP(X1,X0)|X0=X1)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f316])).
% 0.15/0.32 fof(f318,plain,(
% 0.15/0.32 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 0.15/0.32 fof(f319,plain,(
% 0.15/0.32 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f318])).
% 0.15/0.32 fof(f322,plain,(
% 0.15/0.32 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.15/0.32 fof(f323,plain,(
% 0.15/0.32 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f322])).
% 0.15/0.32 fof(f324,plain,(
% 0.15/0.32 ![U]: (~ssList(U)|(segmentP(nil,U)<=>nil=U))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.15/0.32 fof(f325,plain,(
% 0.15/0.32 ![U]: (~ssList(U)|((~segmentP(nil,U)|nil=U)&(segmentP(nil,U)|~nil=U)))),
% 0.15/0.32 inference(NNF_transformation,[status(esa)],[f324])).
% 0.15/0.32 fof(f326,plain,(
% 0.15/0.32 ![X0]: (~ssList(X0)|~segmentP(nil,X0)|nil=X0)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f325])).
% 0.15/0.32 fof(f415,plain,(
% 0.15/0.32 (?[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=W|~nil=X))&(~nil=V|~nil=U))&((?[Z]: (ssList(Z)&((neq(Z,nil)&segmentP(X,Z))&segmentP(W,Z))))|~neq(X,nil)))))))))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.15/0.32 fof(f416,plain,(
% 0.15/0.32 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&(((((sk0_48=sk0_50&sk0_47=sk0_49)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sk0_48,Y))|~segmentP(sk0_47,Y))))&(nil=sk0_49|~nil=sk0_50))&(~nil=sk0_48|~nil=sk0_47))&((ssList(sk0_51)&((neq(sk0_51,nil)&segmentP(sk0_50,sk0_51))&segmentP(sk0_49,sk0_51)))|~neq(sk0_50,nil)))))))),
% 0.15/0.32 inference(skolemization,[status(esa)],[f415])).
% 0.15/0.32 fof(f417,plain,(
% 0.15/0.32 ssList(sk0_47)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.32 fof(f418,plain,(
% 0.15/0.32 ssList(sk0_48)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.32 fof(f421,plain,(
% 0.15/0.32 sk0_48=sk0_50),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.32 fof(f422,plain,(
% 0.15/0.32 sk0_47=sk0_49),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.32 fof(f423,plain,(
% 0.15/0.32 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.32 fof(f424,plain,(
% 0.15/0.32 nil=sk0_49|~nil=sk0_50),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.32 fof(f425,plain,(
% 0.15/0.32 ~nil=sk0_48|~nil=sk0_47),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.32 fof(f426,plain,(
% 0.15/0.32 ssList(sk0_51)|~neq(sk0_50,nil)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.32 fof(f427,plain,(
% 0.15/0.32 neq(sk0_51,nil)|~neq(sk0_50,nil)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.32 fof(f428,plain,(
% 0.15/0.32 segmentP(sk0_50,sk0_51)|~neq(sk0_50,nil)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.32 fof(f429,plain,(
% 0.15/0.32 segmentP(sk0_49,sk0_51)|~neq(sk0_50,nil)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f416])).
% 0.15/0.32 fof(f430,plain,(
% 0.15/0.32 spl0_0 <=> nil=sk0_49),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f431,plain,(
% 0.15/0.32 nil=sk0_49|~spl0_0),
% 0.15/0.32 inference(component_clause,[status(thm)],[f430])).
% 0.15/0.32 fof(f433,plain,(
% 0.15/0.32 spl0_1 <=> nil=sk0_50),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f435,plain,(
% 0.15/0.32 ~nil=sk0_50|spl0_1),
% 0.15/0.32 inference(component_clause,[status(thm)],[f433])).
% 0.15/0.32 fof(f436,plain,(
% 0.15/0.32 spl0_0|~spl0_1),
% 0.15/0.32 inference(split_clause,[status(thm)],[f424,f430,f433])).
% 0.15/0.32 fof(f437,plain,(
% 0.15/0.32 spl0_2 <=> nil=sk0_48),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f440,plain,(
% 0.15/0.32 spl0_3 <=> nil=sk0_47),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f442,plain,(
% 0.15/0.32 ~nil=sk0_47|spl0_3),
% 0.15/0.32 inference(component_clause,[status(thm)],[f440])).
% 0.15/0.32 fof(f443,plain,(
% 0.15/0.32 ~spl0_2|~spl0_3),
% 0.15/0.32 inference(split_clause,[status(thm)],[f425,f437,f440])).
% 0.15/0.32 fof(f444,plain,(
% 0.15/0.32 spl0_4 <=> ssList(sk0_51)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f447,plain,(
% 0.15/0.32 spl0_5 <=> neq(sk0_50,nil)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f449,plain,(
% 0.15/0.32 ~neq(sk0_50,nil)|spl0_5),
% 0.15/0.32 inference(component_clause,[status(thm)],[f447])).
% 0.15/0.32 fof(f450,plain,(
% 0.15/0.32 spl0_4|~spl0_5),
% 0.15/0.32 inference(split_clause,[status(thm)],[f426,f444,f447])).
% 0.15/0.32 fof(f451,plain,(
% 0.15/0.32 spl0_6 <=> neq(sk0_51,nil)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f454,plain,(
% 0.15/0.32 spl0_6|~spl0_5),
% 0.15/0.32 inference(split_clause,[status(thm)],[f427,f451,f447])).
% 0.15/0.32 fof(f455,plain,(
% 0.15/0.32 spl0_7 <=> segmentP(sk0_50,sk0_51)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f456,plain,(
% 0.15/0.32 segmentP(sk0_50,sk0_51)|~spl0_7),
% 0.15/0.32 inference(component_clause,[status(thm)],[f455])).
% 0.15/0.32 fof(f458,plain,(
% 0.15/0.32 spl0_7|~spl0_5),
% 0.15/0.32 inference(split_clause,[status(thm)],[f428,f455,f447])).
% 0.15/0.32 fof(f459,plain,(
% 0.15/0.32 spl0_8 <=> segmentP(sk0_49,sk0_51)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f460,plain,(
% 0.15/0.32 segmentP(sk0_49,sk0_51)|~spl0_8),
% 0.15/0.32 inference(component_clause,[status(thm)],[f459])).
% 0.15/0.32 fof(f462,plain,(
% 0.15/0.32 spl0_8|~spl0_5),
% 0.15/0.32 inference(split_clause,[status(thm)],[f429,f459,f447])).
% 0.15/0.32 fof(f463,plain,(
% 0.15/0.32 ![X1]: (~ssItem(X1)|~ssItem(X1)|~neq(X1,X1))),
% 0.15/0.32 inference(destructive_equality_resolution,[status(esa)],[f100])).
% 0.15/0.32 fof(f464,plain,(
% 0.15/0.32 ![X0]: (~ssItem(X0)|~neq(X0,X0))),
% 0.15/0.32 inference(duplicate_literals_removal,[status(esa)],[f463])).
% 0.15/0.32 fof(f478,plain,(
% 0.15/0.32 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.15/0.32 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.15/0.32 fof(f479,plain,(
% 0.15/0.32 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.15/0.32 inference(duplicate_literals_removal,[status(esa)],[f478])).
% 0.15/0.32 fof(f495,plain,(
% 0.15/0.32 segmentP(nil,nil)),
% 0.15/0.32 inference(resolution,[status(thm)],[f319,f223])).
% 0.15/0.32 fof(f496,plain,(
% 0.15/0.32 segmentP(sk0_48,sk0_48)),
% 0.15/0.32 inference(resolution,[status(thm)],[f319,f418])).
% 0.15/0.32 fof(f497,plain,(
% 0.15/0.32 segmentP(sk0_47,sk0_47)),
% 0.15/0.32 inference(resolution,[status(thm)],[f319,f417])).
% 0.15/0.32 fof(f499,plain,(
% 0.15/0.32 segmentP(sk0_48,nil)),
% 0.15/0.32 inference(resolution,[status(thm)],[f323,f418])).
% 0.15/0.32 fof(f500,plain,(
% 0.15/0.32 segmentP(sk0_47,nil)),
% 0.15/0.32 inference(resolution,[status(thm)],[f323,f417])).
% 0.15/0.32 fof(f501,plain,(
% 0.15/0.32 ![X0]: (~ssItem(X0)|neq(sk0_0,X0)|sk0_0=X0)),
% 0.15/0.32 inference(resolution,[status(thm)],[f103,f101])).
% 0.15/0.32 fof(f502,plain,(
% 0.15/0.32 ![X0]: (~ssItem(X0)|neq(sk0_1,X0)|sk0_1=X0)),
% 0.15/0.32 inference(resolution,[status(thm)],[f104,f101])).
% 0.15/0.32 fof(f508,plain,(
% 0.15/0.32 ~neq(sk0_48,nil)|spl0_5),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f421,f449])).
% 0.15/0.32 fof(f509,plain,(
% 0.15/0.32 spl0_9 <=> ssList(nil)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f511,plain,(
% 0.15/0.32 ~ssList(nil)|spl0_9),
% 0.15/0.32 inference(component_clause,[status(thm)],[f509])).
% 0.15/0.32 fof(f512,plain,(
% 0.15/0.32 spl0_10 <=> neq(nil,nil)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f515,plain,(
% 0.15/0.32 spl0_11 <=> segmentP(sk0_47,nil)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f517,plain,(
% 0.15/0.32 ~segmentP(sk0_47,nil)|spl0_11),
% 0.15/0.32 inference(component_clause,[status(thm)],[f515])).
% 0.15/0.32 fof(f518,plain,(
% 0.15/0.32 ~ssList(nil)|~neq(nil,nil)|~segmentP(sk0_47,nil)),
% 0.15/0.32 inference(resolution,[status(thm)],[f423,f499])).
% 0.15/0.32 fof(f519,plain,(
% 0.15/0.32 ~spl0_9|~spl0_10|~spl0_11),
% 0.15/0.32 inference(split_clause,[status(thm)],[f518,f509,f512,f515])).
% 0.15/0.32 fof(f520,plain,(
% 0.15/0.32 spl0_12 <=> ssList(sk0_48)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f522,plain,(
% 0.15/0.32 ~ssList(sk0_48)|spl0_12),
% 0.15/0.32 inference(component_clause,[status(thm)],[f520])).
% 0.15/0.32 fof(f523,plain,(
% 0.15/0.32 spl0_13 <=> neq(sk0_48,nil)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f524,plain,(
% 0.15/0.32 neq(sk0_48,nil)|~spl0_13),
% 0.15/0.32 inference(component_clause,[status(thm)],[f523])).
% 0.15/0.32 fof(f531,plain,(
% 0.15/0.32 $false|spl0_12),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f522,f418])).
% 0.15/0.32 fof(f532,plain,(
% 0.15/0.32 spl0_12),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f531])).
% 0.15/0.32 fof(f533,plain,(
% 0.15/0.32 $false|spl0_11),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f517,f500])).
% 0.15/0.32 fof(f534,plain,(
% 0.15/0.32 spl0_11),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f533])).
% 0.15/0.32 fof(f535,plain,(
% 0.15/0.32 $false|spl0_9),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f511,f223])).
% 0.15/0.32 fof(f536,plain,(
% 0.15/0.32 spl0_9),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f535])).
% 0.15/0.32 fof(f537,plain,(
% 0.15/0.32 spl0_15 <=> nil=nil),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f540,plain,(
% 0.15/0.32 ~ssList(nil)|nil=nil),
% 0.15/0.32 inference(resolution,[status(thm)],[f326,f495])).
% 0.15/0.32 fof(f541,plain,(
% 0.15/0.32 ~spl0_9|spl0_15),
% 0.15/0.32 inference(split_clause,[status(thm)],[f540,f509,f537])).
% 0.15/0.32 fof(f542,plain,(
% 0.15/0.32 spl0_16 <=> neq(sk0_0,sk0_1)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f545,plain,(
% 0.15/0.32 spl0_17 <=> sk0_0=sk0_1),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f546,plain,(
% 0.15/0.32 sk0_0=sk0_1|~spl0_17),
% 0.15/0.32 inference(component_clause,[status(thm)],[f545])).
% 0.15/0.32 fof(f548,plain,(
% 0.15/0.32 neq(sk0_0,sk0_1)|sk0_0=sk0_1),
% 0.15/0.32 inference(resolution,[status(thm)],[f501,f104])).
% 0.15/0.32 fof(f549,plain,(
% 0.15/0.32 spl0_16|spl0_17),
% 0.15/0.32 inference(split_clause,[status(thm)],[f548,f542,f545])).
% 0.15/0.32 fof(f550,plain,(
% 0.15/0.32 spl0_18 <=> neq(sk0_0,sk0_0)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f551,plain,(
% 0.15/0.32 neq(sk0_0,sk0_0)|~spl0_18),
% 0.15/0.32 inference(component_clause,[status(thm)],[f550])).
% 0.15/0.32 fof(f553,plain,(
% 0.15/0.32 spl0_19 <=> sk0_0=sk0_0),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f556,plain,(
% 0.15/0.32 neq(sk0_0,sk0_0)|sk0_0=sk0_0),
% 0.15/0.32 inference(resolution,[status(thm)],[f501,f103])).
% 0.15/0.32 fof(f557,plain,(
% 0.15/0.32 spl0_18|spl0_19),
% 0.15/0.32 inference(split_clause,[status(thm)],[f556,f550,f553])).
% 0.15/0.32 fof(f559,plain,(
% 0.15/0.32 ~ssItem(sk0_0)|~spl0_18),
% 0.15/0.32 inference(resolution,[status(thm)],[f551,f464])).
% 0.15/0.32 fof(f560,plain,(
% 0.15/0.32 $false|~spl0_18),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f559,f103])).
% 0.15/0.32 fof(f561,plain,(
% 0.15/0.32 ~spl0_18),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f560])).
% 0.15/0.32 fof(f562,plain,(
% 0.15/0.32 spl0_20 <=> neq(sk0_1,sk0_1)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f563,plain,(
% 0.15/0.32 neq(sk0_1,sk0_1)|~spl0_20),
% 0.15/0.32 inference(component_clause,[status(thm)],[f562])).
% 0.15/0.32 fof(f565,plain,(
% 0.15/0.32 spl0_21 <=> sk0_1=sk0_1),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f568,plain,(
% 0.15/0.32 neq(sk0_1,sk0_1)|sk0_1=sk0_1),
% 0.15/0.32 inference(resolution,[status(thm)],[f502,f104])).
% 0.15/0.32 fof(f569,plain,(
% 0.15/0.32 spl0_20|spl0_21),
% 0.15/0.32 inference(split_clause,[status(thm)],[f568,f562,f565])).
% 0.15/0.32 fof(f570,plain,(
% 0.15/0.32 spl0_22 <=> neq(sk0_1,sk0_0)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f573,plain,(
% 0.15/0.32 neq(sk0_1,sk0_0)|sk0_1=sk0_0),
% 0.15/0.32 inference(resolution,[status(thm)],[f502,f103])).
% 0.15/0.32 fof(f574,plain,(
% 0.15/0.32 spl0_22|spl0_17),
% 0.15/0.32 inference(split_clause,[status(thm)],[f573,f570,f545])).
% 0.15/0.32 fof(f575,plain,(
% 0.15/0.32 $false|~spl0_17),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f546,f105])).
% 0.15/0.32 fof(f576,plain,(
% 0.15/0.32 ~spl0_17),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f575])).
% 0.15/0.32 fof(f578,plain,(
% 0.15/0.32 ~ssItem(sk0_1)|~spl0_20),
% 0.15/0.32 inference(resolution,[status(thm)],[f563,f464])).
% 0.15/0.32 fof(f579,plain,(
% 0.15/0.32 $false|~spl0_20),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f578,f104])).
% 0.15/0.32 fof(f580,plain,(
% 0.15/0.32 ~spl0_20),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f579])).
% 0.15/0.32 fof(f582,plain,(
% 0.15/0.32 ![X0]: (~ssList(X0)|neq(sk0_48,X0)|sk0_48=X0)),
% 0.15/0.32 inference(resolution,[status(thm)],[f220,f418])).
% 0.15/0.32 fof(f584,plain,(
% 0.15/0.32 neq(sk0_48,nil)|sk0_48=nil),
% 0.15/0.32 inference(resolution,[status(thm)],[f582,f223])).
% 0.15/0.32 fof(f585,plain,(
% 0.15/0.32 spl0_13|spl0_2),
% 0.15/0.32 inference(split_clause,[status(thm)],[f584,f523,f437])).
% 0.15/0.32 fof(f586,plain,(
% 0.15/0.32 spl0_23 <=> neq(sk0_48,sk0_48)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f587,plain,(
% 0.15/0.32 neq(sk0_48,sk0_48)|~spl0_23),
% 0.15/0.32 inference(component_clause,[status(thm)],[f586])).
% 0.15/0.32 fof(f589,plain,(
% 0.15/0.32 spl0_24 <=> sk0_48=sk0_48),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f592,plain,(
% 0.15/0.32 neq(sk0_48,sk0_48)|sk0_48=sk0_48),
% 0.15/0.32 inference(resolution,[status(thm)],[f582,f418])).
% 0.15/0.32 fof(f593,plain,(
% 0.15/0.32 spl0_23|spl0_24),
% 0.15/0.32 inference(split_clause,[status(thm)],[f592,f586,f589])).
% 0.15/0.32 fof(f602,plain,(
% 0.15/0.32 $false|spl0_5|~spl0_13),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f524,f508])).
% 0.15/0.32 fof(f603,plain,(
% 0.15/0.32 spl0_5|~spl0_13),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f602])).
% 0.15/0.32 fof(f604,plain,(
% 0.15/0.32 ~nil=sk0_48|spl0_1),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f421,f435])).
% 0.15/0.32 fof(f605,plain,(
% 0.15/0.32 ~spl0_2|spl0_1),
% 0.15/0.32 inference(split_clause,[status(thm)],[f604,f437,f433])).
% 0.15/0.32 fof(f606,plain,(
% 0.15/0.32 nil=sk0_47|~spl0_0),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f422,f431])).
% 0.15/0.32 fof(f618,plain,(
% 0.15/0.32 $false|spl0_3|~spl0_0),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f606,f442])).
% 0.15/0.32 fof(f619,plain,(
% 0.15/0.32 spl0_3|~spl0_0),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f618])).
% 0.15/0.32 fof(f620,plain,(
% 0.15/0.32 segmentP(sk0_47,sk0_51)|~spl0_8),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f422,f460])).
% 0.15/0.32 fof(f633,plain,(
% 0.15/0.32 ~ssList(sk0_48)|~spl0_23),
% 0.15/0.32 inference(resolution,[status(thm)],[f587,f479])).
% 0.15/0.32 fof(f634,plain,(
% 0.15/0.32 ~spl0_12|~spl0_23),
% 0.15/0.32 inference(split_clause,[status(thm)],[f633,f520,f586])).
% 0.15/0.32 fof(f644,plain,(
% 0.15/0.32 segmentP(sk0_48,sk0_51)|~spl0_7),
% 0.15/0.32 inference(backward_demodulation,[status(thm)],[f421,f456])).
% 0.15/0.32 fof(f657,plain,(
% 0.15/0.32 spl0_28 <=> ssList(sk0_47)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f659,plain,(
% 0.15/0.32 ~ssList(sk0_47)|spl0_28),
% 0.15/0.32 inference(component_clause,[status(thm)],[f657])).
% 0.15/0.32 fof(f660,plain,(
% 0.15/0.32 spl0_29 <=> ~ssList(X0)|~segmentP(sk0_47,X0)|segmentP(sk0_47,X0)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f663,plain,(
% 0.15/0.32 ![X0]: (~ssList(sk0_47)|~ssList(sk0_47)|~ssList(X0)|~segmentP(sk0_47,X0)|segmentP(sk0_47,X0))),
% 0.15/0.32 inference(resolution,[status(thm)],[f315,f497])).
% 0.15/0.32 fof(f664,plain,(
% 0.15/0.32 ~spl0_28|spl0_29),
% 0.15/0.32 inference(split_clause,[status(thm)],[f663,f657,f660])).
% 0.15/0.32 fof(f665,plain,(
% 0.15/0.32 spl0_30 <=> ~ssList(X0)|~segmentP(nil,X0)|segmentP(sk0_47,X0)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f668,plain,(
% 0.15/0.32 ![X0]: (~ssList(sk0_47)|~ssList(nil)|~ssList(X0)|~segmentP(nil,X0)|segmentP(sk0_47,X0))),
% 0.15/0.32 inference(resolution,[status(thm)],[f315,f500])).
% 0.15/0.32 fof(f669,plain,(
% 0.15/0.32 ~spl0_28|~spl0_9|spl0_30),
% 0.15/0.32 inference(split_clause,[status(thm)],[f668,f657,f509,f665])).
% 0.15/0.32 fof(f670,plain,(
% 0.15/0.32 spl0_31 <=> ~ssList(X0)|~segmentP(sk0_48,X0)|segmentP(sk0_48,X0)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f673,plain,(
% 0.15/0.32 ![X0]: (~ssList(sk0_48)|~ssList(sk0_48)|~ssList(X0)|~segmentP(sk0_48,X0)|segmentP(sk0_48,X0))),
% 0.15/0.32 inference(resolution,[status(thm)],[f315,f496])).
% 0.15/0.32 fof(f674,plain,(
% 0.15/0.32 ~spl0_12|spl0_31),
% 0.15/0.32 inference(split_clause,[status(thm)],[f673,f520,f670])).
% 0.15/0.32 fof(f675,plain,(
% 0.15/0.32 spl0_32 <=> ~ssList(X0)|~segmentP(nil,X0)|segmentP(sk0_48,X0)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f678,plain,(
% 0.15/0.32 ![X0]: (~ssList(sk0_48)|~ssList(nil)|~ssList(X0)|~segmentP(nil,X0)|segmentP(sk0_48,X0))),
% 0.15/0.32 inference(resolution,[status(thm)],[f315,f499])).
% 0.15/0.32 fof(f679,plain,(
% 0.15/0.32 ~spl0_12|~spl0_9|spl0_32),
% 0.15/0.32 inference(split_clause,[status(thm)],[f678,f520,f509,f675])).
% 0.15/0.32 fof(f680,plain,(
% 0.15/0.32 spl0_33 <=> ~ssList(X0)|~segmentP(nil,X0)|segmentP(nil,X0)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f683,plain,(
% 0.15/0.32 ![X0]: (~ssList(nil)|~ssList(nil)|~ssList(X0)|~segmentP(nil,X0)|segmentP(nil,X0))),
% 0.15/0.32 inference(resolution,[status(thm)],[f315,f495])).
% 0.15/0.32 fof(f684,plain,(
% 0.15/0.32 ~spl0_9|spl0_33),
% 0.15/0.32 inference(split_clause,[status(thm)],[f683,f509,f680])).
% 0.15/0.32 fof(f685,plain,(
% 0.15/0.32 $false|spl0_28),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f659,f417])).
% 0.15/0.32 fof(f686,plain,(
% 0.15/0.32 spl0_28),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f685])).
% 0.15/0.32 fof(f687,plain,(
% 0.15/0.32 spl0_34 <=> segmentP(sk0_47,sk0_47)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f689,plain,(
% 0.15/0.32 ~segmentP(sk0_47,sk0_47)|spl0_34),
% 0.15/0.32 inference(component_clause,[status(thm)],[f687])).
% 0.15/0.32 fof(f690,plain,(
% 0.15/0.32 spl0_35 <=> sk0_47=sk0_47),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f693,plain,(
% 0.15/0.32 ~ssList(sk0_47)|~ssList(sk0_47)|~segmentP(sk0_47,sk0_47)|sk0_47=sk0_47),
% 0.15/0.32 inference(resolution,[status(thm)],[f317,f497])).
% 0.15/0.32 fof(f694,plain,(
% 0.15/0.32 ~spl0_28|~spl0_34|spl0_35),
% 0.15/0.32 inference(split_clause,[status(thm)],[f693,f657,f687,f690])).
% 0.15/0.32 fof(f715,plain,(
% 0.15/0.32 $false|spl0_34),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f689,f497])).
% 0.15/0.32 fof(f716,plain,(
% 0.15/0.32 spl0_34),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f715])).
% 0.15/0.32 fof(f770,plain,(
% 0.15/0.32 spl0_48 <=> segmentP(sk0_47,sk0_51)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f772,plain,(
% 0.15/0.32 ~segmentP(sk0_47,sk0_51)|spl0_48),
% 0.15/0.32 inference(component_clause,[status(thm)],[f770])).
% 0.15/0.32 fof(f773,plain,(
% 0.15/0.32 ~ssList(sk0_51)|~neq(sk0_51,nil)|~segmentP(sk0_47,sk0_51)|~spl0_7),
% 0.15/0.32 inference(resolution,[status(thm)],[f644,f423])).
% 0.15/0.32 fof(f774,plain,(
% 0.15/0.32 ~spl0_4|~spl0_6|~spl0_48|~spl0_7),
% 0.15/0.32 inference(split_clause,[status(thm)],[f773,f444,f451,f770,f455])).
% 0.15/0.32 fof(f788,plain,(
% 0.15/0.32 $false|~spl0_8|spl0_48),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f772,f620])).
% 0.15/0.32 fof(f789,plain,(
% 0.15/0.32 ~spl0_8|spl0_48),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f788])).
% 0.15/0.32 fof(f790,plain,(
% 0.15/0.32 $false),
% 0.15/0.32 inference(sat_refutation,[status(thm)],[f436,f443,f450,f454,f458,f462,f519,f532,f534,f536,f541,f549,f557,f561,f569,f574,f576,f580,f585,f593,f603,f605,f619,f634,f664,f669,f674,f679,f684,f686,f694,f716,f774,f789])).
% 0.15/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.34 % Elapsed time: 0.024363 seconds
% 0.15/0.34 % CPU time: 0.050767 seconds
% 0.15/0.34 % Total memory used: 17.049 MB
% 0.15/0.34 % Net memory used: 17.009 MB
%------------------------------------------------------------------------------