TSTP Solution File: SWC060+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC060+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:39:05 EDT 2023
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC060+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 11:40:07 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.36 fof(f1,axiom,(
% 0.12/0.36 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f2,axiom,(
% 0.12/0.36 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f15,axiom,(
% 0.12/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f17,axiom,(
% 0.12/0.36 ssList(nil) ),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f28,axiom,(
% 0.12/0.36 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f53,axiom,(
% 0.12/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( segmentP(U,V)& segmentP(V,W) )=> segmentP(U,W) ) ) )) )) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f54,axiom,(
% 0.12/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( segmentP(U,V)& segmentP(V,U) )=> U = V ) ) )) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f55,axiom,(
% 0.12/0.36 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f56,axiom,(
% 0.12/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( segmentP(U,V)=> segmentP(app(app(W,U),X),V) ) ) )) )) )) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f57,axiom,(
% 0.12/0.36 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f58,axiom,(
% 0.12/0.36 (! [U] :( ssList(U)=> ( segmentP(nil,U)<=> nil = U ) ) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f84,axiom,(
% 0.12/0.36 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f96,conjecture,(
% 0.12/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ) )) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ segmentP(X,W) ) ) ) )) )) )) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f97,negated_conjecture,(
% 0.12/0.36 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ) )) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ segmentP(X,W) ) ) ) )) )) )) ))),
% 0.12/0.36 inference(negated_conjecture,[status(cth)],[f96])).
% 0.12/0.36 fof(f98,plain,(
% 0.12/0.36 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.12/0.36 fof(f99,plain,(
% 0.12/0.36 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.12/0.36 inference(NNF_transformation,[status(esa)],[f98])).
% 0.12/0.36 fof(f100,plain,(
% 0.12/0.36 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~neq(X0,X1)|~X0=X1)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f99])).
% 0.12/0.36 fof(f101,plain,(
% 0.12/0.36 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X0,X1)|X0=X1)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f99])).
% 0.12/0.36 fof(f102,plain,(
% 0.12/0.36 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 0.12/0.36 inference(skolemization,[status(esa)],[f2])).
% 0.12/0.36 fof(f103,plain,(
% 0.12/0.36 ssItem(sk0_0)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f102])).
% 0.12/0.36 fof(f104,plain,(
% 0.12/0.36 ssItem(sk0_1)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f102])).
% 0.12/0.36 fof(f217,plain,(
% 0.12/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.12/0.36 fof(f218,plain,(
% 0.12/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.12/0.36 inference(NNF_transformation,[status(esa)],[f217])).
% 0.12/0.36 fof(f219,plain,(
% 0.12/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f218])).
% 0.12/0.36 fof(f223,plain,(
% 0.12/0.36 ssList(nil)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.12/0.36 fof(f248,plain,(
% 0.12/0.36 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.12/0.36 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.12/0.37 fof(f249,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f248])).
% 0.12/0.37 fof(f314,plain,(
% 0.12/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~segmentP(U,V)|~segmentP(V,W))|segmentP(U,W)))))))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 0.12/0.37 fof(f315,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~segmentP(X0,X1)|~segmentP(X1,X2)|segmentP(X0,X2))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f314])).
% 0.12/0.37 fof(f316,plain,(
% 0.12/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|~segmentP(V,U))|U=V))))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 0.12/0.37 fof(f317,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|~segmentP(X1,X0)|X0=X1)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f316])).
% 0.12/0.37 fof(f318,plain,(
% 0.12/0.37 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 0.12/0.37 fof(f319,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f318])).
% 0.12/0.37 fof(f320,plain,(
% 0.12/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|(~segmentP(U,V)|segmentP(app(app(W,U),X),V)))))))))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 0.12/0.37 fof(f321,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~segmentP(X0,X1)|segmentP(app(app(X2,X0),X3),X1))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f320])).
% 0.12/0.37 fof(f322,plain,(
% 0.12/0.37 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.12/0.37 fof(f323,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f322])).
% 0.12/0.37 fof(f324,plain,(
% 0.12/0.37 ![U]: (~ssList(U)|(segmentP(nil,U)<=>nil=U))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.12/0.37 fof(f325,plain,(
% 0.12/0.37 ![U]: (~ssList(U)|((~segmentP(nil,U)|nil=U)&(segmentP(nil,U)|~nil=U)))),
% 0.12/0.37 inference(NNF_transformation,[status(esa)],[f324])).
% 0.12/0.37 fof(f326,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|~segmentP(nil,X0)|nil=X0)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f325])).
% 0.12/0.37 fof(f388,plain,(
% 0.12/0.37 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.12/0.37 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.12/0.37 fof(f389,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f388])).
% 0.12/0.37 fof(f415,plain,(
% 0.12/0.37 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&((nil=V&~nil=U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))))&((nil=X&nil=W)|(neq(W,nil)&segmentP(X,W)))))))))))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.12/0.37 fof(f416,plain,(
% 0.12/0.37 ![U,V]: (pd0_0(V,U)=>(nil=V&~nil=U))),
% 0.12/0.37 introduced(predicate_definition,[f415])).
% 0.12/0.37 fof(f417,plain,(
% 0.12/0.37 ![W,X]: (pd0_1(X,W)=>(nil=X&nil=W))),
% 0.12/0.37 introduced(predicate_definition,[f415])).
% 0.12/0.37 fof(f418,plain,(
% 0.12/0.37 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&(pd0_0(V,U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))))&(pd0_1(X,W)|(neq(W,nil)&segmentP(X,W))))))))))),
% 0.12/0.37 inference(formula_renaming,[status(thm)],[f415,f417,f416])).
% 0.12/0.37 fof(f419,plain,(
% 0.12/0.37 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&((((ssList(sk0_50)&sk0_48=sk0_50)&sk0_47=sk0_49)&(pd0_0(sk0_48,sk0_47)|(neq(sk0_48,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sk0_48,Y))|~segmentP(sk0_47,Y))))))&(pd0_1(sk0_50,sk0_49)|(neq(sk0_49,nil)&segmentP(sk0_50,sk0_49)))))))),
% 0.12/0.37 inference(skolemization,[status(esa)],[f418])).
% 0.12/0.37 fof(f420,plain,(
% 0.12/0.37 ssList(sk0_47)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.12/0.37 fof(f421,plain,(
% 0.12/0.37 ssList(sk0_48)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.12/0.37 fof(f424,plain,(
% 0.12/0.37 sk0_48=sk0_50),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.12/0.37 fof(f425,plain,(
% 0.12/0.37 sk0_47=sk0_49),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.12/0.37 fof(f426,plain,(
% 0.12/0.37 pd0_0(sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.12/0.37 fof(f427,plain,(
% 0.12/0.37 ![X0]: (pd0_0(sk0_48,sk0_47)|~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.12/0.37 fof(f428,plain,(
% 0.12/0.37 pd0_1(sk0_50,sk0_49)|neq(sk0_49,nil)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.12/0.37 fof(f429,plain,(
% 0.12/0.37 pd0_1(sk0_50,sk0_49)|segmentP(sk0_50,sk0_49)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.12/0.37 fof(f430,plain,(
% 0.12/0.37 ![U,V]: (~pd0_0(V,U)|(nil=V&~nil=U))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.12/0.37 fof(f431,plain,(
% 0.12/0.37 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f430])).
% 0.12/0.37 fof(f432,plain,(
% 0.12/0.37 ![X0,X1]: (~pd0_0(X0,X1)|~nil=X1)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f430])).
% 0.12/0.37 fof(f433,plain,(
% 0.12/0.37 ![W,X]: (~pd0_1(X,W)|(nil=X&nil=W))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(esa)],[f417])).
% 0.12/0.37 fof(f434,plain,(
% 0.12/0.37 ![X0,X1]: (~pd0_1(X0,X1)|nil=X0)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f433])).
% 0.12/0.37 fof(f435,plain,(
% 0.12/0.37 ![X0,X1]: (~pd0_1(X0,X1)|nil=X1)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f433])).
% 0.12/0.37 fof(f436,plain,(
% 0.12/0.37 spl0_0 <=> pd0_0(sk0_48,sk0_47)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f437,plain,(
% 0.12/0.37 pd0_0(sk0_48,sk0_47)|~spl0_0),
% 0.12/0.37 inference(component_clause,[status(thm)],[f436])).
% 0.12/0.37 fof(f439,plain,(
% 0.12/0.37 spl0_1 <=> neq(sk0_48,nil)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f440,plain,(
% 0.12/0.37 neq(sk0_48,nil)|~spl0_1),
% 0.12/0.37 inference(component_clause,[status(thm)],[f439])).
% 0.12/0.37 fof(f442,plain,(
% 0.12/0.37 spl0_0|spl0_1),
% 0.12/0.37 inference(split_clause,[status(thm)],[f426,f436,f439])).
% 0.12/0.37 fof(f443,plain,(
% 0.12/0.37 spl0_2 <=> ~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f444,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)|~spl0_2)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f443])).
% 0.12/0.37 fof(f446,plain,(
% 0.12/0.37 spl0_0|spl0_2),
% 0.12/0.37 inference(split_clause,[status(thm)],[f427,f436,f443])).
% 0.12/0.37 fof(f447,plain,(
% 0.12/0.37 spl0_3 <=> pd0_1(sk0_50,sk0_49)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f448,plain,(
% 0.12/0.37 pd0_1(sk0_50,sk0_49)|~spl0_3),
% 0.12/0.37 inference(component_clause,[status(thm)],[f447])).
% 0.12/0.37 fof(f450,plain,(
% 0.12/0.37 spl0_4 <=> neq(sk0_49,nil)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f451,plain,(
% 0.12/0.37 neq(sk0_49,nil)|~spl0_4),
% 0.12/0.37 inference(component_clause,[status(thm)],[f450])).
% 0.12/0.37 fof(f453,plain,(
% 0.12/0.37 spl0_3|spl0_4),
% 0.12/0.37 inference(split_clause,[status(thm)],[f428,f447,f450])).
% 0.12/0.37 fof(f454,plain,(
% 0.12/0.37 spl0_5 <=> segmentP(sk0_50,sk0_49)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f455,plain,(
% 0.12/0.37 segmentP(sk0_50,sk0_49)|~spl0_5),
% 0.12/0.37 inference(component_clause,[status(thm)],[f454])).
% 0.12/0.37 fof(f457,plain,(
% 0.12/0.37 spl0_3|spl0_5),
% 0.12/0.37 inference(split_clause,[status(thm)],[f429,f447,f454])).
% 0.12/0.37 fof(f458,plain,(
% 0.12/0.37 ![X1]: (~ssItem(X1)|~ssItem(X1)|~neq(X1,X1))),
% 0.12/0.37 inference(destructive_equality_resolution,[status(esa)],[f100])).
% 0.12/0.37 fof(f459,plain,(
% 0.12/0.37 ![X0]: (~ssItem(X0)|~neq(X0,X0))),
% 0.12/0.37 inference(duplicate_literals_removal,[status(esa)],[f458])).
% 0.12/0.37 fof(f473,plain,(
% 0.12/0.37 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.12/0.37 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.12/0.37 fof(f474,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.12/0.37 inference(duplicate_literals_removal,[status(esa)],[f473])).
% 0.12/0.37 fof(f488,plain,(
% 0.12/0.37 ![X0]: (~pd0_0(X0,nil))),
% 0.12/0.37 inference(destructive_equality_resolution,[status(esa)],[f432])).
% 0.12/0.37 fof(f491,plain,(
% 0.12/0.37 ![X0]: (~ssItem(X0)|neq(X0,sk0_0)|X0=sk0_0)),
% 0.12/0.37 inference(resolution,[status(thm)],[f103,f101])).
% 0.12/0.37 fof(f492,plain,(
% 0.12/0.37 ~neq(sk0_0,sk0_0)),
% 0.12/0.37 inference(resolution,[status(thm)],[f103,f459])).
% 0.12/0.37 fof(f493,plain,(
% 0.12/0.37 ![X0]: (~ssItem(X0)|neq(X0,sk0_1)|X0=sk0_1)),
% 0.12/0.37 inference(resolution,[status(thm)],[f104,f101])).
% 0.12/0.37 fof(f494,plain,(
% 0.12/0.37 ~neq(sk0_1,sk0_1)),
% 0.12/0.37 inference(resolution,[status(thm)],[f104,f459])).
% 0.12/0.37 fof(f495,plain,(
% 0.12/0.37 pd0_1(sk0_48,sk0_49)|~spl0_3),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f424,f448])).
% 0.12/0.37 fof(f496,plain,(
% 0.12/0.37 pd0_1(sk0_48,sk0_47)|~spl0_3),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f425,f495])).
% 0.12/0.37 fof(f497,plain,(
% 0.12/0.37 nil=sk0_47|~spl0_3),
% 0.12/0.37 inference(resolution,[status(thm)],[f496,f435])).
% 0.12/0.37 fof(f498,plain,(
% 0.12/0.37 nil=sk0_48|~spl0_3),
% 0.12/0.37 inference(resolution,[status(thm)],[f496,f434])).
% 0.12/0.37 fof(f504,plain,(
% 0.12/0.37 pd0_0(nil,sk0_47)|~spl0_3|~spl0_0),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f498,f437])).
% 0.12/0.37 fof(f505,plain,(
% 0.12/0.37 pd0_0(nil,nil)|~spl0_3|~spl0_0),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f497,f504])).
% 0.12/0.37 fof(f506,plain,(
% 0.12/0.37 $false|~spl0_3|~spl0_0),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f505,f488])).
% 0.12/0.37 fof(f507,plain,(
% 0.12/0.37 ~spl0_3|~spl0_0),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f506])).
% 0.12/0.37 fof(f508,plain,(
% 0.12/0.37 nil=sk0_48|~spl0_0),
% 0.12/0.37 inference(resolution,[status(thm)],[f437,f431])).
% 0.12/0.37 fof(f509,plain,(
% 0.12/0.37 pd0_0(nil,sk0_47)|~spl0_0),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f508,f437])).
% 0.12/0.37 fof(f510,plain,(
% 0.12/0.37 nil=sk0_50|~spl0_0),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f508,f424])).
% 0.12/0.37 fof(f512,plain,(
% 0.12/0.37 segmentP(nil,sk0_49)|~spl0_0|~spl0_5),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f510,f455])).
% 0.12/0.37 fof(f514,plain,(
% 0.12/0.37 segmentP(nil,sk0_47)|~spl0_0|~spl0_5),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f425,f512])).
% 0.12/0.37 fof(f516,plain,(
% 0.12/0.37 neq(sk0_47,nil)|~spl0_4),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f425,f451])).
% 0.12/0.37 fof(f517,plain,(
% 0.12/0.37 spl0_6 <=> ssList(sk0_47)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f519,plain,(
% 0.12/0.37 ~ssList(sk0_47)|spl0_6),
% 0.12/0.37 inference(component_clause,[status(thm)],[f517])).
% 0.12/0.37 fof(f520,plain,(
% 0.12/0.37 spl0_7 <=> nil=sk0_47),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f521,plain,(
% 0.12/0.37 nil=sk0_47|~spl0_7),
% 0.12/0.37 inference(component_clause,[status(thm)],[f520])).
% 0.12/0.37 fof(f523,plain,(
% 0.12/0.37 ~ssList(sk0_47)|nil=sk0_47|~spl0_0|~spl0_5),
% 0.12/0.37 inference(resolution,[status(thm)],[f326,f514])).
% 0.12/0.37 fof(f524,plain,(
% 0.12/0.37 ~spl0_6|spl0_7|~spl0_0|~spl0_5),
% 0.12/0.37 inference(split_clause,[status(thm)],[f523,f517,f520,f436,f454])).
% 0.12/0.37 fof(f525,plain,(
% 0.12/0.37 spl0_8 <=> ssList(nil)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f527,plain,(
% 0.12/0.37 ~ssList(nil)|spl0_8),
% 0.12/0.37 inference(component_clause,[status(thm)],[f525])).
% 0.12/0.37 fof(f528,plain,(
% 0.12/0.37 spl0_9 <=> nil=nil),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f531,plain,(
% 0.12/0.37 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.12/0.37 inference(resolution,[status(thm)],[f326,f323])).
% 0.12/0.37 fof(f532,plain,(
% 0.12/0.37 ~spl0_8|spl0_9),
% 0.12/0.37 inference(split_clause,[status(thm)],[f531,f525,f528])).
% 0.12/0.37 fof(f535,plain,(
% 0.12/0.37 $false|spl0_8),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f527,f223])).
% 0.12/0.37 fof(f536,plain,(
% 0.12/0.37 spl0_8),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f535])).
% 0.12/0.37 fof(f540,plain,(
% 0.12/0.37 neq(nil,nil)|~spl0_3|~spl0_1),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f498,f440])).
% 0.12/0.37 fof(f541,plain,(
% 0.12/0.37 ~ssList(nil)|~spl0_3|~spl0_1),
% 0.12/0.37 inference(resolution,[status(thm)],[f540,f474])).
% 0.12/0.37 fof(f542,plain,(
% 0.12/0.37 ~spl0_8|~spl0_3|~spl0_1),
% 0.12/0.37 inference(split_clause,[status(thm)],[f541,f525,f447,f439])).
% 0.12/0.37 fof(f547,plain,(
% 0.12/0.37 spl0_10 <=> ssList(sk0_49)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f549,plain,(
% 0.12/0.37 ~ssList(sk0_49)|spl0_10),
% 0.12/0.37 inference(component_clause,[status(thm)],[f547])).
% 0.12/0.37 fof(f557,plain,(
% 0.12/0.37 $false|spl0_6),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f420,f519])).
% 0.12/0.37 fof(f558,plain,(
% 0.12/0.37 spl0_6),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f557])).
% 0.12/0.37 fof(f559,plain,(
% 0.12/0.37 spl0_12 <=> ssItem(sk0_0)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f561,plain,(
% 0.12/0.37 ~ssItem(sk0_0)|spl0_12),
% 0.12/0.37 inference(component_clause,[status(thm)],[f559])).
% 0.12/0.37 fof(f562,plain,(
% 0.12/0.37 spl0_13 <=> sk0_0=sk0_0),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f565,plain,(
% 0.12/0.37 ~ssItem(sk0_0)|sk0_0=sk0_0),
% 0.12/0.37 inference(resolution,[status(thm)],[f491,f492])).
% 0.12/0.37 fof(f566,plain,(
% 0.12/0.37 ~spl0_12|spl0_13),
% 0.12/0.37 inference(split_clause,[status(thm)],[f565,f559,f562])).
% 0.12/0.37 fof(f572,plain,(
% 0.12/0.37 $false|spl0_12),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f561,f103])).
% 0.12/0.37 fof(f573,plain,(
% 0.12/0.37 spl0_12),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f572])).
% 0.12/0.37 fof(f574,plain,(
% 0.12/0.37 spl0_15 <=> ssItem(sk0_1)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f576,plain,(
% 0.12/0.37 ~ssItem(sk0_1)|spl0_15),
% 0.12/0.37 inference(component_clause,[status(thm)],[f574])).
% 0.12/0.37 fof(f577,plain,(
% 0.12/0.37 spl0_16 <=> sk0_1=sk0_1),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f580,plain,(
% 0.12/0.37 ~ssItem(sk0_1)|sk0_1=sk0_1),
% 0.12/0.37 inference(resolution,[status(thm)],[f493,f494])).
% 0.12/0.37 fof(f581,plain,(
% 0.12/0.37 ~spl0_15|spl0_16),
% 0.12/0.37 inference(split_clause,[status(thm)],[f580,f574,f577])).
% 0.12/0.37 fof(f587,plain,(
% 0.12/0.37 $false|spl0_15),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f576,f104])).
% 0.12/0.37 fof(f588,plain,(
% 0.12/0.37 spl0_15),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f587])).
% 0.12/0.37 fof(f593,plain,(
% 0.12/0.37 spl0_18 <=> ~ssList(X0)|~segmentP(nil,X0)|nil=X0|~ssList(X0)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f596,plain,(
% 0.12/0.37 ![X0]: (~ssList(nil)|~ssList(X0)|~segmentP(nil,X0)|nil=X0|~ssList(X0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f317,f323])).
% 0.12/0.37 fof(f597,plain,(
% 0.12/0.37 ~spl0_8|spl0_18),
% 0.12/0.37 inference(split_clause,[status(thm)],[f596,f525,f593])).
% 0.12/0.37 fof(f599,plain,(
% 0.12/0.37 spl0_19 <=> ~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|segmentP(X0,nil)|~ssList(X1)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f602,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~segmentP(X0,X1)|segmentP(X0,nil)|~ssList(X1))),
% 0.12/0.37 inference(resolution,[status(thm)],[f315,f323])).
% 0.12/0.37 fof(f603,plain,(
% 0.12/0.37 spl0_19|~spl0_8),
% 0.12/0.37 inference(split_clause,[status(thm)],[f602,f599,f525])).
% 0.12/0.37 fof(f604,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~segmentP(X0,X1)|segmentP(X0,X2)|~ssList(X1)|~ssList(X3)|~ssList(X2)|~segmentP(X1,X3)|~segmentP(X3,X2))),
% 0.12/0.37 inference(resolution,[status(thm)],[f315,f315])).
% 0.12/0.37 fof(f605,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~segmentP(X0,X1)|segmentP(X0,X2)|~ssList(X3)|~segmentP(X1,X3)|~segmentP(X3,X2))),
% 0.12/0.37 inference(duplicate_literals_removal,[status(esa)],[f604])).
% 0.12/0.37 fof(f606,plain,(
% 0.12/0.37 spl0_20 <=> ~ssList(X0)|~ssList(X1)|~segmentP(nil,X0)|~segmentP(X0,X1)|~ssList(X1)|nil=X1),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f609,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(nil)|~ssList(X0)|~ssList(X1)|~segmentP(nil,X0)|~segmentP(X0,X1)|~ssList(X1)|nil=X1)),
% 0.12/0.37 inference(resolution,[status(thm)],[f315,f326])).
% 0.12/0.37 fof(f610,plain,(
% 0.12/0.37 ~spl0_8|spl0_20),
% 0.12/0.37 inference(split_clause,[status(thm)],[f609,f525,f606])).
% 0.12/0.37 fof(f613,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~segmentP(X0,X1)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X0)|~segmentP(X2,X0)|X2=X0)),
% 0.12/0.37 inference(resolution,[status(thm)],[f315,f317])).
% 0.12/0.37 fof(f614,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~segmentP(X0,X1)|~segmentP(X1,X2)|~segmentP(X2,X0)|X2=X0)),
% 0.12/0.37 inference(duplicate_literals_removal,[status(esa)],[f613])).
% 0.12/0.37 fof(f622,plain,(
% 0.12/0.37 spl0_22 <=> ~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|~segmentP(nil,X0)|nil=X0|~ssList(X1)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f625,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~segmentP(X0,X1)|~segmentP(nil,X0)|nil=X0|~ssList(X1))),
% 0.12/0.37 inference(resolution,[status(thm)],[f614,f323])).
% 0.12/0.37 fof(f626,plain,(
% 0.12/0.37 spl0_22|~spl0_8),
% 0.12/0.37 inference(split_clause,[status(thm)],[f625,f622,f525])).
% 0.12/0.37 fof(f636,plain,(
% 0.12/0.37 spl0_23 <=> ~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X0),X2),nil)|~ssList(X0)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f639,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(nil)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X0),X2),nil)|~ssList(X0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f321,f323])).
% 0.12/0.37 fof(f640,plain,(
% 0.12/0.37 spl0_23|~spl0_8),
% 0.12/0.37 inference(split_clause,[status(thm)],[f639,f636,f525])).
% 0.12/0.37 fof(f643,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X0),X2),X0)|~ssList(X0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f321,f319])).
% 0.12/0.37 fof(f644,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X0),X2),X0))),
% 0.12/0.37 inference(duplicate_literals_removal,[status(esa)],[f643])).
% 0.12/0.37 fof(f646,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|segmentP(app(app(sk0_47,X0),sk0_47),X0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f644,f420])).
% 0.12/0.37 fof(f673,plain,(
% 0.12/0.37 spl0_24 <=> ~ssList(X0)|~segmentP(X0,nil)|segmentP(X0,nil)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f676,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(nil)|~segmentP(X0,nil)|segmentP(X0,nil)|~ssList(nil)|~ssList(nil))),
% 0.12/0.37 inference(resolution,[status(thm)],[f605,f323])).
% 0.12/0.37 fof(f677,plain,(
% 0.12/0.37 spl0_24|~spl0_8),
% 0.12/0.37 inference(split_clause,[status(thm)],[f676,f673,f525])).
% 0.12/0.37 fof(f678,plain,(
% 0.12/0.37 spl0_25 <=> ~ssList(X0)|~ssList(X1)|~ssList(X2)|~segmentP(X0,X1)|segmentP(X0,X2)|~segmentP(nil,X2)|~ssList(X1)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f681,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~segmentP(X0,X1)|segmentP(X0,X2)|~ssList(nil)|~segmentP(nil,X2)|~ssList(X1))),
% 0.12/0.37 inference(resolution,[status(thm)],[f605,f323])).
% 0.12/0.37 fof(f682,plain,(
% 0.12/0.37 spl0_25|~spl0_8),
% 0.12/0.37 inference(split_clause,[status(thm)],[f681,f678,f525])).
% 0.12/0.37 fof(f689,plain,(
% 0.12/0.37 spl0_26 <=> ~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|segmentP(X0,nil)|~ssList(X2)|~segmentP(X1,X2)|~ssList(X2)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f692,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~segmentP(X0,X1)|segmentP(X0,nil)|~ssList(X2)|~segmentP(X1,X2)|~ssList(X2))),
% 0.12/0.37 inference(resolution,[status(thm)],[f605,f323])).
% 0.12/0.37 fof(f693,plain,(
% 0.12/0.37 spl0_26|~spl0_8),
% 0.12/0.37 inference(split_clause,[status(thm)],[f692,f689,f525])).
% 0.12/0.37 fof(f704,plain,(
% 0.12/0.37 app(nil,nil)=nil),
% 0.12/0.37 inference(resolution,[status(thm)],[f249,f223])).
% 0.12/0.37 fof(f705,plain,(
% 0.12/0.37 app(sk0_47,nil)=sk0_47),
% 0.12/0.37 inference(resolution,[status(thm)],[f389,f420])).
% 0.12/0.37 fof(f710,plain,(
% 0.12/0.37 spl0_27 <=> segmentP(app(sk0_47,sk0_47),nil)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f711,plain,(
% 0.12/0.37 segmentP(app(sk0_47,sk0_47),nil)|~spl0_27),
% 0.12/0.37 inference(component_clause,[status(thm)],[f710])).
% 0.12/0.37 fof(f713,plain,(
% 0.12/0.37 ~ssList(nil)|segmentP(app(sk0_47,sk0_47),nil)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f705,f646])).
% 0.12/0.37 fof(f714,plain,(
% 0.12/0.37 ~spl0_8|spl0_27),
% 0.12/0.37 inference(split_clause,[status(thm)],[f713,f525,f710])).
% 0.12/0.37 fof(f715,plain,(
% 0.12/0.37 segmentP(sk0_48,sk0_49)|~spl0_5),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f424,f455])).
% 0.12/0.37 fof(f716,plain,(
% 0.12/0.37 segmentP(sk0_48,sk0_47)|~spl0_5),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f425,f715])).
% 0.12/0.37 fof(f720,plain,(
% 0.12/0.37 spl0_29 <=> ssList(sk0_48)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f722,plain,(
% 0.12/0.37 ~ssList(sk0_48)|spl0_29),
% 0.12/0.37 inference(component_clause,[status(thm)],[f720])).
% 0.12/0.37 fof(f758,plain,(
% 0.12/0.37 $false|spl0_29),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f722,f421])).
% 0.12/0.37 fof(f759,plain,(
% 0.12/0.37 spl0_29),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f758])).
% 0.12/0.37 fof(f771,plain,(
% 0.12/0.37 spl0_37 <=> segmentP(sk0_47,sk0_47)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f772,plain,(
% 0.12/0.37 segmentP(sk0_47,sk0_47)|~spl0_37),
% 0.12/0.37 inference(component_clause,[status(thm)],[f771])).
% 0.12/0.37 fof(f773,plain,(
% 0.12/0.37 ~segmentP(sk0_47,sk0_47)|spl0_37),
% 0.12/0.37 inference(component_clause,[status(thm)],[f771])).
% 0.12/0.37 fof(f788,plain,(
% 0.12/0.37 ~ssList(sk0_47)|spl0_37),
% 0.12/0.37 inference(resolution,[status(thm)],[f773,f319])).
% 0.12/0.37 fof(f789,plain,(
% 0.12/0.37 ~spl0_6|spl0_37),
% 0.12/0.37 inference(split_clause,[status(thm)],[f788,f517,f771])).
% 0.12/0.37 fof(f806,plain,(
% 0.12/0.37 spl0_40 <=> ~ssList(X0)|~segmentP(X0,sk0_47)|segmentP(X0,sk0_47)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f809,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|~ssList(sk0_47)|~ssList(sk0_47)|~segmentP(X0,sk0_47)|segmentP(X0,sk0_47)|~ssList(sk0_47)|~spl0_37)),
% 0.12/0.37 inference(resolution,[status(thm)],[f772,f605])).
% 0.12/0.37 fof(f810,plain,(
% 0.12/0.37 spl0_40|~spl0_6|~spl0_37),
% 0.12/0.37 inference(split_clause,[status(thm)],[f809,f806,f517,f771])).
% 0.12/0.37 fof(f811,plain,(
% 0.12/0.37 spl0_41 <=> ~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|segmentP(X0,sk0_47)|~segmentP(X1,sk0_47)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f814,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(sk0_47)|~segmentP(X0,X1)|segmentP(X0,sk0_47)|~ssList(sk0_47)|~segmentP(X1,sk0_47)|~spl0_37)),
% 0.12/0.37 inference(resolution,[status(thm)],[f772,f605])).
% 0.12/0.37 fof(f815,plain,(
% 0.12/0.37 spl0_41|~spl0_6|~spl0_37),
% 0.12/0.37 inference(split_clause,[status(thm)],[f814,f811,f517,f771])).
% 0.12/0.37 fof(f818,plain,(
% 0.12/0.37 spl0_42 <=> ~ssList(X0)|~ssList(X1)|~segmentP(X0,sk0_47)|segmentP(X0,X1)|~segmentP(sk0_47,X1)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f821,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(X0)|~ssList(sk0_47)|~ssList(X1)|~segmentP(X0,sk0_47)|segmentP(X0,X1)|~ssList(sk0_47)|~segmentP(sk0_47,X1)|~spl0_37)),
% 0.12/0.37 inference(resolution,[status(thm)],[f772,f605])).
% 0.12/0.37 fof(f822,plain,(
% 0.12/0.37 spl0_42|~spl0_6|~spl0_37),
% 0.12/0.37 inference(split_clause,[status(thm)],[f821,f818,f517,f771])).
% 0.12/0.37 fof(f823,plain,(
% 0.12/0.37 spl0_43 <=> ~ssList(X0)|~ssList(X1)|segmentP(app(app(X0,sk0_47),X1),sk0_47)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f826,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(sk0_47)|~ssList(sk0_47)|~ssList(X0)|~ssList(X1)|segmentP(app(app(X0,sk0_47),X1),sk0_47)|~spl0_37)),
% 0.12/0.37 inference(resolution,[status(thm)],[f772,f321])).
% 0.12/0.37 fof(f827,plain,(
% 0.12/0.37 ~spl0_6|spl0_43|~spl0_37),
% 0.12/0.37 inference(split_clause,[status(thm)],[f826,f517,f823,f771])).
% 0.12/0.37 fof(f828,plain,(
% 0.12/0.37 spl0_44 <=> sk0_47=sk0_47),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f831,plain,(
% 0.12/0.37 ~ssList(sk0_47)|~ssList(sk0_47)|~ssList(sk0_47)|~segmentP(sk0_47,sk0_47)|sk0_47=sk0_47|~spl0_37),
% 0.12/0.37 inference(resolution,[status(thm)],[f772,f614])).
% 0.12/0.37 fof(f832,plain,(
% 0.12/0.37 ~spl0_6|~spl0_37|spl0_44),
% 0.12/0.37 inference(split_clause,[status(thm)],[f831,f517,f771,f828])).
% 0.12/0.37 fof(f837,plain,(
% 0.12/0.37 spl0_45 <=> ~ssList(X0)|~segmentP(X0,sk0_47)|~segmentP(sk0_47,X0)|sk0_47=X0),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f840,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|~ssList(sk0_47)|~ssList(sk0_47)|~segmentP(X0,sk0_47)|~segmentP(sk0_47,X0)|sk0_47=X0|~spl0_37)),
% 0.12/0.37 inference(resolution,[status(thm)],[f772,f614])).
% 0.12/0.37 fof(f841,plain,(
% 0.12/0.37 spl0_45|~spl0_6|~spl0_37),
% 0.12/0.37 inference(split_clause,[status(thm)],[f840,f837,f517,f771])).
% 0.12/0.37 fof(f846,plain,(
% 0.12/0.37 spl0_46 <=> ~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|segmentP(X0,nil)|~segmentP(X1,app(sk0_47,sk0_47))),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f849,plain,(
% 0.12/0.37 spl0_47 <=> ssList(app(sk0_47,sk0_47))),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f851,plain,(
% 0.12/0.37 ~ssList(app(sk0_47,sk0_47))|spl0_47),
% 0.12/0.37 inference(component_clause,[status(thm)],[f849])).
% 0.12/0.37 fof(f852,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~segmentP(X0,X1)|segmentP(X0,nil)|~ssList(app(sk0_47,sk0_47))|~segmentP(X1,app(sk0_47,sk0_47))|~spl0_27)),
% 0.12/0.37 inference(resolution,[status(thm)],[f711,f605])).
% 0.12/0.37 fof(f853,plain,(
% 0.12/0.37 spl0_46|~spl0_8|~spl0_47|~spl0_27),
% 0.12/0.37 inference(split_clause,[status(thm)],[f852,f846,f525,f849,f710])).
% 0.12/0.37 fof(f854,plain,(
% 0.12/0.37 spl0_48 <=> ~ssList(X0)|~ssList(X1)|~segmentP(X0,app(sk0_47,sk0_47))|segmentP(X0,X1)|~segmentP(nil,X1)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f857,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(X0)|~ssList(app(sk0_47,sk0_47))|~ssList(X1)|~segmentP(X0,app(sk0_47,sk0_47))|segmentP(X0,X1)|~ssList(nil)|~segmentP(nil,X1)|~spl0_27)),
% 0.12/0.37 inference(resolution,[status(thm)],[f711,f605])).
% 0.12/0.37 fof(f858,plain,(
% 0.12/0.37 spl0_48|~spl0_47|~spl0_8|~spl0_27),
% 0.12/0.37 inference(split_clause,[status(thm)],[f857,f854,f849,f525,f710])).
% 0.12/0.37 fof(f859,plain,(
% 0.12/0.37 spl0_49 <=> ~ssList(X0)|~ssList(X1)|segmentP(app(app(X0,app(sk0_47,sk0_47)),X1),nil)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f862,plain,(
% 0.12/0.37 ![X0,X1]: (~ssList(app(sk0_47,sk0_47))|~ssList(nil)|~ssList(X0)|~ssList(X1)|segmentP(app(app(X0,app(sk0_47,sk0_47)),X1),nil)|~spl0_27)),
% 0.12/0.37 inference(resolution,[status(thm)],[f711,f321])).
% 0.12/0.37 fof(f863,plain,(
% 0.12/0.37 ~spl0_47|~spl0_8|spl0_49|~spl0_27),
% 0.12/0.37 inference(split_clause,[status(thm)],[f862,f849,f525,f859,f710])).
% 0.12/0.37 fof(f864,plain,(
% 0.12/0.37 spl0_50 <=> ~ssList(X0)|~segmentP(nil,X0)|~segmentP(X0,app(sk0_47,sk0_47))),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f867,plain,(
% 0.12/0.37 spl0_51 <=> app(sk0_47,sk0_47)=nil),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f870,plain,(
% 0.12/0.37 ![X0]: (~ssList(nil)|~ssList(X0)|~ssList(app(sk0_47,sk0_47))|~segmentP(nil,X0)|~segmentP(X0,app(sk0_47,sk0_47))|app(sk0_47,sk0_47)=nil|~spl0_27)),
% 0.12/0.37 inference(resolution,[status(thm)],[f711,f614])).
% 0.12/0.37 fof(f871,plain,(
% 0.12/0.37 ~spl0_8|spl0_50|~spl0_47|spl0_51|~spl0_27),
% 0.12/0.37 inference(split_clause,[status(thm)],[f870,f525,f864,f849,f867,f710])).
% 0.12/0.37 fof(f872,plain,(
% 0.12/0.37 spl0_52 <=> ~ssList(X0)|~segmentP(X0,app(sk0_47,sk0_47))|~segmentP(nil,X0)|nil=X0),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f875,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|~ssList(app(sk0_47,sk0_47))|~ssList(nil)|~segmentP(X0,app(sk0_47,sk0_47))|~segmentP(nil,X0)|nil=X0|~spl0_27)),
% 0.12/0.37 inference(resolution,[status(thm)],[f711,f614])).
% 0.12/0.37 fof(f876,plain,(
% 0.12/0.37 spl0_52|~spl0_47|~spl0_8|~spl0_27),
% 0.12/0.37 inference(split_clause,[status(thm)],[f875,f872,f849,f525,f710])).
% 0.12/0.37 fof(f877,plain,(
% 0.12/0.37 spl0_53 <=> ~ssList(X0)|~segmentP(X0,app(sk0_47,sk0_47))|segmentP(X0,nil)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f880,plain,(
% 0.12/0.37 ![X0]: (~ssList(X0)|~ssList(app(sk0_47,sk0_47))|~ssList(nil)|~segmentP(X0,app(sk0_47,sk0_47))|segmentP(X0,nil)|~spl0_27)),
% 0.12/0.37 inference(resolution,[status(thm)],[f711,f315])).
% 0.12/0.37 fof(f881,plain,(
% 0.12/0.37 spl0_53|~spl0_47|~spl0_8|~spl0_27),
% 0.12/0.37 inference(split_clause,[status(thm)],[f880,f877,f849,f525,f710])).
% 0.12/0.37 fof(f882,plain,(
% 0.12/0.37 spl0_54 <=> segmentP(nil,app(sk0_47,sk0_47))),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f885,plain,(
% 0.12/0.37 ~ssList(nil)|~ssList(app(sk0_47,sk0_47))|~segmentP(nil,app(sk0_47,sk0_47))|nil=app(sk0_47,sk0_47)|~spl0_27),
% 0.12/0.37 inference(resolution,[status(thm)],[f711,f317])).
% 0.12/0.37 fof(f886,plain,(
% 0.12/0.37 ~spl0_8|~spl0_47|~spl0_54|spl0_51|~spl0_27),
% 0.12/0.37 inference(split_clause,[status(thm)],[f885,f525,f849,f882,f867,f710])).
% 0.12/0.37 fof(f892,plain,(
% 0.12/0.37 spl0_56 <=> segmentP(sk0_48,sk0_47)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f894,plain,(
% 0.12/0.37 ~segmentP(sk0_48,sk0_47)|spl0_56),
% 0.12/0.37 inference(component_clause,[status(thm)],[f892])).
% 0.12/0.37 fof(f895,plain,(
% 0.12/0.37 ~ssList(sk0_47)|~segmentP(sk0_48,sk0_47)|~segmentP(sk0_47,sk0_47)|~spl0_2|~spl0_4),
% 0.12/0.37 inference(resolution,[status(thm)],[f444,f516])).
% 0.12/0.37 fof(f896,plain,(
% 0.12/0.37 ~spl0_6|~spl0_56|~spl0_37|~spl0_2|~spl0_4),
% 0.12/0.37 inference(split_clause,[status(thm)],[f895,f517,f892,f771,f443,f450])).
% 0.12/0.37 fof(f902,plain,(
% 0.12/0.37 ~ssList(sk0_47)|spl0_10),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f425,f549])).
% 0.12/0.37 fof(f903,plain,(
% 0.12/0.37 $false|spl0_10),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f902,f420])).
% 0.12/0.37 fof(f904,plain,(
% 0.12/0.37 spl0_10),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f903])).
% 0.12/0.37 fof(f914,plain,(
% 0.12/0.37 $false|~spl0_5|spl0_56),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f894,f716])).
% 0.12/0.37 fof(f915,plain,(
% 0.12/0.37 ~spl0_5|spl0_56),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f914])).
% 0.12/0.37 fof(f916,plain,(
% 0.12/0.37 ~ssList(app(sk0_47,nil))|~spl0_7|spl0_47),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f521,f851])).
% 0.12/0.37 fof(f917,plain,(
% 0.12/0.37 ~ssList(app(nil,nil))|~spl0_7|spl0_47),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f521,f916])).
% 0.12/0.37 fof(f918,plain,(
% 0.12/0.37 ~ssList(nil)|~spl0_7|spl0_47),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f704,f917])).
% 0.12/0.37 fof(f919,plain,(
% 0.12/0.37 $false|~spl0_7|spl0_47),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f918,f223])).
% 0.12/0.37 fof(f920,plain,(
% 0.12/0.37 ~spl0_7|spl0_47),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f919])).
% 0.12/0.37 fof(f958,plain,(
% 0.12/0.37 pd0_0(nil,nil)|~spl0_7|~spl0_0),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f521,f509])).
% 0.12/0.37 fof(f959,plain,(
% 0.12/0.37 $false|~spl0_7|~spl0_0),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f958,f488])).
% 0.12/0.37 fof(f960,plain,(
% 0.12/0.37 ~spl0_7|~spl0_0),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f959])).
% 0.12/0.37 fof(f961,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(sat_refutation,[status(thm)],[f442,f446,f453,f457,f507,f524,f532,f536,f542,f558,f566,f573,f581,f588,f597,f603,f610,f626,f640,f677,f682,f693,f714,f759,f789,f810,f815,f822,f827,f832,f841,f853,f858,f863,f871,f876,f881,f886,f896,f904,f915,f920,f960])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.38 % Elapsed time: 0.038638 seconds
% 0.12/0.38 % CPU time: 0.115536 seconds
% 0.12/0.38 % Memory used: 16.445 MB
%------------------------------------------------------------------------------