TSTP Solution File: SWC105+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC105+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:44:32 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : SWC105+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31 % Computer : n019.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 00:06:59 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.34 fof(f1,axiom,(
% 0.11/0.34 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f2,axiom,(
% 0.11/0.34 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f15,axiom,(
% 0.11/0.34 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f17,axiom,(
% 0.11/0.34 ssList(nil) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f47,axiom,(
% 0.11/0.34 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( rearsegP(U,V)& rearsegP(V,W) )=> rearsegP(U,W) ) ) )) )) )),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f48,axiom,(
% 0.11/0.34 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( rearsegP(U,V)& rearsegP(V,U) )=> U = V ) ) )) )),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f49,axiom,(
% 0.11/0.34 (! [U] :( ssList(U)=> rearsegP(U,U) ) )),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f50,axiom,(
% 0.11/0.34 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( rearsegP(U,V)=> rearsegP(app(W,U),V) ) ) )) )) )),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f51,axiom,(
% 0.11/0.34 (! [U] :( ssList(U)=> rearsegP(U,nil) ) )),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f52,axiom,(
% 0.11/0.34 (! [U] :( ssList(U)=> ( rearsegP(nil,U)<=> nil = U ) ) )),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f96,conjecture,(
% 0.11/0.34 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| ( neq(U,nil)& rearsegP(V,U) ) ) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) )),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f97,negated_conjecture,(
% 0.11/0.34 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| ( neq(U,nil)& rearsegP(V,U) ) ) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) ))),
% 0.11/0.34 inference(negated_conjecture,[status(cth)],[f96])).
% 0.11/0.34 fof(f98,plain,(
% 0.11/0.34 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 0.11/0.34 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.11/0.34 fof(f99,plain,(
% 0.11/0.34 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.11/0.34 inference(NNF_transformation,[status(esa)],[f98])).
% 0.11/0.34 fof(f100,plain,(
% 0.11/0.34 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~neq(X0,X1)|~X0=X1)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f99])).
% 0.11/0.34 fof(f101,plain,(
% 0.11/0.34 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X0,X1)|X0=X1)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f99])).
% 0.11/0.34 fof(f102,plain,(
% 0.11/0.34 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 0.11/0.34 inference(skolemization,[status(esa)],[f2])).
% 0.11/0.34 fof(f103,plain,(
% 0.11/0.34 ssItem(sk0_0)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f102])).
% 0.11/0.34 fof(f104,plain,(
% 0.11/0.34 ssItem(sk0_1)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f102])).
% 0.11/0.34 fof(f105,plain,(
% 0.11/0.34 ~sk0_0=sk0_1),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f102])).
% 0.11/0.34 fof(f217,plain,(
% 0.11/0.34 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.11/0.34 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.11/0.34 fof(f218,plain,(
% 0.11/0.34 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.11/0.34 inference(NNF_transformation,[status(esa)],[f217])).
% 0.11/0.34 fof(f219,plain,(
% 0.11/0.34 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f218])).
% 0.11/0.34 fof(f220,plain,(
% 0.11/0.34 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f218])).
% 0.11/0.34 fof(f223,plain,(
% 0.11/0.34 ssList(nil)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f17])).
% 0.11/0.34 fof(f300,plain,(
% 0.11/0.34 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~rearsegP(U,V)|~rearsegP(V,W))|rearsegP(U,W)))))))),
% 0.11/0.34 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 0.11/0.34 fof(f301,plain,(
% 0.11/0.34 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~rearsegP(X0,X1)|~rearsegP(X1,X2)|rearsegP(X0,X2))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f300])).
% 0.11/0.34 fof(f302,plain,(
% 0.11/0.34 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|~rearsegP(V,U))|U=V))))),
% 0.11/0.34 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 0.11/0.34 fof(f303,plain,(
% 0.11/0.34 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|~rearsegP(X1,X0)|X0=X1)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f302])).
% 0.11/0.34 fof(f304,plain,(
% 0.11/0.34 ![U]: (~ssList(U)|rearsegP(U,U))),
% 0.11/0.34 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 0.11/0.34 fof(f305,plain,(
% 0.11/0.34 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f304])).
% 0.11/0.34 fof(f306,plain,(
% 0.11/0.34 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~rearsegP(U,V)|rearsegP(app(W,U),V)))))))),
% 0.11/0.34 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 0.11/0.34 fof(f307,plain,(
% 0.11/0.34 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~rearsegP(X0,X1)|rearsegP(app(X2,X0),X1))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f306])).
% 0.11/0.34 fof(f308,plain,(
% 0.11/0.34 ![U]: (~ssList(U)|rearsegP(U,nil))),
% 0.11/0.34 inference(pre_NNF_transformation,[status(esa)],[f51])).
% 0.11/0.34 fof(f309,plain,(
% 0.11/0.34 ![X0]: (~ssList(X0)|rearsegP(X0,nil))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f308])).
% 0.11/0.34 fof(f310,plain,(
% 0.11/0.34 ![U]: (~ssList(U)|(rearsegP(nil,U)<=>nil=U))),
% 0.11/0.34 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 0.11/0.34 fof(f311,plain,(
% 0.11/0.34 ![U]: (~ssList(U)|((~rearsegP(nil,U)|nil=U)&(rearsegP(nil,U)|~nil=U)))),
% 0.11/0.34 inference(NNF_transformation,[status(esa)],[f310])).
% 0.11/0.34 fof(f312,plain,(
% 0.11/0.34 ![X0]: (~ssList(X0)|~rearsegP(nil,X0)|nil=X0)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f311])).
% 0.11/0.34 fof(f415,plain,(
% 0.11/0.34 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&((nil=V&~nil=U)|(neq(V,nil)&(~neq(U,nil)|~rearsegP(V,U)))))&((nil=X&nil=W)|(neq(W,nil)&rearsegP(X,W))))))))))))),
% 0.11/0.34 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.11/0.34 fof(f416,plain,(
% 0.11/0.34 ![U,V]: (pd0_0(V,U)=>(nil=V&~nil=U))),
% 0.11/0.34 introduced(predicate_definition,[f415])).
% 0.11/0.34 fof(f417,plain,(
% 0.11/0.34 ![W,X]: (pd0_1(X,W)=>(nil=X&nil=W))),
% 0.11/0.34 introduced(predicate_definition,[f415])).
% 0.11/0.34 fof(f418,plain,(
% 0.11/0.34 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(pd0_0(V,U)|(neq(V,nil)&(~neq(U,nil)|~rearsegP(V,U)))))&(pd0_1(X,W)|(neq(W,nil)&rearsegP(X,W)))))))))))),
% 0.11/0.34 inference(formula_renaming,[status(thm)],[f415,f417,f416])).
% 0.11/0.34 fof(f419,plain,(
% 0.11/0.34 (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)&(~neq(sk0_47,nil)|~rearsegP(sk0_48,sk0_47)))))&(pd0_1(sk0_50,sk0_49)|(neq(sk0_49,nil)&rearsegP(sk0_50,sk0_49))))))))),
% 0.11/0.34 inference(skolemization,[status(esa)],[f418])).
% 0.11/0.34 fof(f420,plain,(
% 0.11/0.34 ssList(sk0_47)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.34 fof(f421,plain,(
% 0.11/0.34 ssList(sk0_48)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.34 fof(f424,plain,(
% 0.11/0.34 sk0_48=sk0_50),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.34 fof(f425,plain,(
% 0.11/0.34 sk0_47=sk0_49),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.34 fof(f426,plain,(
% 0.11/0.34 pd0_0(sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.34 fof(f427,plain,(
% 0.11/0.34 pd0_0(sk0_48,sk0_47)|~neq(sk0_47,nil)|~rearsegP(sk0_48,sk0_47)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.34 fof(f428,plain,(
% 0.11/0.34 pd0_1(sk0_50,sk0_49)|neq(sk0_49,nil)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.34 fof(f429,plain,(
% 0.11/0.34 pd0_1(sk0_50,sk0_49)|rearsegP(sk0_50,sk0_49)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.34 fof(f430,plain,(
% 0.11/0.34 ![U,V]: (~pd0_0(V,U)|(nil=V&~nil=U))),
% 0.11/0.34 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.11/0.34 fof(f431,plain,(
% 0.11/0.34 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f430])).
% 0.11/0.34 fof(f432,plain,(
% 0.11/0.34 ![X0,X1]: (~pd0_0(X0,X1)|~nil=X1)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f430])).
% 0.11/0.34 fof(f433,plain,(
% 0.11/0.34 ![W,X]: (~pd0_1(X,W)|(nil=X&nil=W))),
% 0.11/0.34 inference(pre_NNF_transformation,[status(esa)],[f417])).
% 0.11/0.34 fof(f434,plain,(
% 0.11/0.34 ![X0,X1]: (~pd0_1(X0,X1)|nil=X0)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f433])).
% 0.11/0.34 fof(f435,plain,(
% 0.11/0.34 ![X0,X1]: (~pd0_1(X0,X1)|nil=X1)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f433])).
% 0.11/0.34 fof(f436,plain,(
% 0.11/0.34 spl0_0 <=> pd0_0(sk0_48,sk0_47)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f437,plain,(
% 0.11/0.34 pd0_0(sk0_48,sk0_47)|~spl0_0),
% 0.11/0.34 inference(component_clause,[status(thm)],[f436])).
% 0.11/0.34 fof(f439,plain,(
% 0.11/0.34 spl0_1 <=> neq(sk0_48,nil)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f440,plain,(
% 0.11/0.34 neq(sk0_48,nil)|~spl0_1),
% 0.11/0.34 inference(component_clause,[status(thm)],[f439])).
% 0.11/0.34 fof(f442,plain,(
% 0.11/0.34 spl0_0|spl0_1),
% 0.11/0.34 inference(split_clause,[status(thm)],[f426,f436,f439])).
% 0.11/0.34 fof(f443,plain,(
% 0.11/0.34 spl0_2 <=> neq(sk0_47,nil)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f446,plain,(
% 0.11/0.34 spl0_3 <=> rearsegP(sk0_48,sk0_47)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f448,plain,(
% 0.11/0.34 ~rearsegP(sk0_48,sk0_47)|spl0_3),
% 0.11/0.34 inference(component_clause,[status(thm)],[f446])).
% 0.11/0.34 fof(f449,plain,(
% 0.11/0.34 spl0_0|~spl0_2|~spl0_3),
% 0.11/0.34 inference(split_clause,[status(thm)],[f427,f436,f443,f446])).
% 0.11/0.34 fof(f450,plain,(
% 0.11/0.34 spl0_4 <=> pd0_1(sk0_50,sk0_49)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f451,plain,(
% 0.11/0.34 pd0_1(sk0_50,sk0_49)|~spl0_4),
% 0.11/0.34 inference(component_clause,[status(thm)],[f450])).
% 0.11/0.34 fof(f453,plain,(
% 0.11/0.34 spl0_5 <=> neq(sk0_49,nil)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f454,plain,(
% 0.11/0.34 neq(sk0_49,nil)|~spl0_5),
% 0.11/0.34 inference(component_clause,[status(thm)],[f453])).
% 0.11/0.34 fof(f456,plain,(
% 0.11/0.34 spl0_4|spl0_5),
% 0.11/0.34 inference(split_clause,[status(thm)],[f428,f450,f453])).
% 0.11/0.34 fof(f457,plain,(
% 0.11/0.34 spl0_6 <=> rearsegP(sk0_50,sk0_49)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f458,plain,(
% 0.11/0.34 rearsegP(sk0_50,sk0_49)|~spl0_6),
% 0.11/0.34 inference(component_clause,[status(thm)],[f457])).
% 0.11/0.34 fof(f460,plain,(
% 0.11/0.34 spl0_4|spl0_6),
% 0.11/0.34 inference(split_clause,[status(thm)],[f429,f450,f457])).
% 0.11/0.34 fof(f461,plain,(
% 0.11/0.34 ![X1]: (~ssItem(X1)|~ssItem(X1)|~neq(X1,X1))),
% 0.11/0.34 inference(destructive_equality_resolution,[status(esa)],[f100])).
% 0.11/0.34 fof(f462,plain,(
% 0.11/0.34 ![X0]: (~ssItem(X0)|~neq(X0,X0))),
% 0.11/0.34 inference(duplicate_literals_removal,[status(esa)],[f461])).
% 0.11/0.34 fof(f476,plain,(
% 0.11/0.34 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.11/0.34 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.11/0.34 fof(f477,plain,(
% 0.11/0.34 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.11/0.34 inference(duplicate_literals_removal,[status(esa)],[f476])).
% 0.11/0.34 fof(f491,plain,(
% 0.11/0.34 ![X0]: (~pd0_0(X0,nil))),
% 0.11/0.34 inference(destructive_equality_resolution,[status(esa)],[f432])).
% 0.11/0.34 fof(f494,plain,(
% 0.11/0.34 rearsegP(nil,nil)),
% 0.11/0.34 inference(resolution,[status(thm)],[f305,f223])).
% 0.11/0.34 fof(f496,plain,(
% 0.11/0.34 rearsegP(sk0_47,sk0_47)),
% 0.11/0.34 inference(resolution,[status(thm)],[f305,f420])).
% 0.11/0.34 fof(f497,plain,(
% 0.11/0.34 ![X0]: (~ssItem(X0)|neq(sk0_0,X0)|sk0_0=X0)),
% 0.11/0.34 inference(resolution,[status(thm)],[f103,f101])).
% 0.11/0.34 fof(f498,plain,(
% 0.11/0.34 ![X0]: (~ssItem(X0)|neq(sk0_1,X0)|sk0_1=X0)),
% 0.11/0.34 inference(resolution,[status(thm)],[f104,f101])).
% 0.11/0.34 fof(f504,plain,(
% 0.11/0.34 pd0_1(sk0_48,sk0_49)|~spl0_4),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f424,f451])).
% 0.11/0.34 fof(f505,plain,(
% 0.11/0.34 pd0_1(sk0_48,sk0_47)|~spl0_4),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f425,f504])).
% 0.11/0.34 fof(f506,plain,(
% 0.11/0.34 nil=sk0_48|~spl0_4),
% 0.11/0.34 inference(resolution,[status(thm)],[f505,f434])).
% 0.11/0.34 fof(f507,plain,(
% 0.11/0.34 pd0_1(nil,sk0_47)|~spl0_4),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f506,f505])).
% 0.11/0.34 fof(f510,plain,(
% 0.11/0.34 nil=sk0_50|~spl0_4),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f506,f424])).
% 0.11/0.34 fof(f512,plain,(
% 0.11/0.34 pd0_0(nil,sk0_47)|~spl0_4|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f506,f437])).
% 0.11/0.34 fof(f513,plain,(
% 0.11/0.34 nil=sk0_47|~spl0_4),
% 0.11/0.34 inference(resolution,[status(thm)],[f435,f507])).
% 0.11/0.34 fof(f515,plain,(
% 0.11/0.34 pd0_0(nil,nil)|~spl0_4|~spl0_0),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f513,f512])).
% 0.11/0.34 fof(f516,plain,(
% 0.11/0.34 $false|~spl0_4|~spl0_0),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f515,f491])).
% 0.11/0.34 fof(f517,plain,(
% 0.11/0.34 ~spl0_4|~spl0_0),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f516])).
% 0.11/0.34 fof(f518,plain,(
% 0.11/0.34 nil=sk0_48|~spl0_0),
% 0.11/0.34 inference(resolution,[status(thm)],[f437,f431])).
% 0.11/0.34 fof(f521,plain,(
% 0.11/0.34 rearsegP(sk0_50,sk0_47)|~spl0_6),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f425,f458])).
% 0.11/0.34 fof(f522,plain,(
% 0.11/0.34 neq(sk0_47,nil)|~spl0_5),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f425,f454])).
% 0.11/0.34 fof(f525,plain,(
% 0.11/0.34 nil=sk0_50|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f518,f424])).
% 0.11/0.34 fof(f526,plain,(
% 0.11/0.34 rearsegP(nil,sk0_47)|~spl0_0|~spl0_6),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f525,f521])).
% 0.11/0.34 fof(f533,plain,(
% 0.11/0.34 rearsegP(sk0_47,nil)),
% 0.11/0.34 inference(resolution,[status(thm)],[f309,f420])).
% 0.11/0.34 fof(f535,plain,(
% 0.11/0.34 spl0_7 <=> ssList(sk0_47)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f537,plain,(
% 0.11/0.34 ~ssList(sk0_47)|spl0_7),
% 0.11/0.34 inference(component_clause,[status(thm)],[f535])).
% 0.11/0.34 fof(f538,plain,(
% 0.11/0.34 spl0_8 <=> nil=sk0_47),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f539,plain,(
% 0.11/0.34 nil=sk0_47|~spl0_8),
% 0.11/0.34 inference(component_clause,[status(thm)],[f538])).
% 0.11/0.34 fof(f541,plain,(
% 0.11/0.34 ~ssList(sk0_47)|nil=sk0_47|~spl0_0|~spl0_6),
% 0.11/0.34 inference(resolution,[status(thm)],[f312,f526])).
% 0.11/0.34 fof(f542,plain,(
% 0.11/0.34 ~spl0_7|spl0_8|~spl0_0|~spl0_6),
% 0.11/0.34 inference(split_clause,[status(thm)],[f541,f535,f538,f436,f457])).
% 0.11/0.34 fof(f543,plain,(
% 0.11/0.34 spl0_9 <=> ssList(nil)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f545,plain,(
% 0.11/0.34 ~ssList(nil)|spl0_9),
% 0.11/0.34 inference(component_clause,[status(thm)],[f543])).
% 0.11/0.34 fof(f546,plain,(
% 0.11/0.34 spl0_10 <=> nil=nil),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f549,plain,(
% 0.11/0.34 ~ssList(nil)|nil=nil),
% 0.11/0.34 inference(resolution,[status(thm)],[f312,f494])).
% 0.11/0.34 fof(f550,plain,(
% 0.11/0.34 ~spl0_9|spl0_10),
% 0.11/0.34 inference(split_clause,[status(thm)],[f549,f543,f546])).
% 0.11/0.34 fof(f551,plain,(
% 0.11/0.34 $false|spl0_9),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f545,f223])).
% 0.11/0.34 fof(f552,plain,(
% 0.11/0.34 spl0_9),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f551])).
% 0.11/0.34 fof(f560,plain,(
% 0.11/0.34 sk0_48=nil|~spl0_4),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f510,f424])).
% 0.11/0.34 fof(f562,plain,(
% 0.11/0.34 neq(nil,nil)|~spl0_4|~spl0_1),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f560,f440])).
% 0.11/0.34 fof(f572,plain,(
% 0.11/0.34 spl0_11 <=> neq(sk0_0,sk0_1)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f575,plain,(
% 0.11/0.34 spl0_12 <=> sk0_0=sk0_1),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f576,plain,(
% 0.11/0.34 sk0_0=sk0_1|~spl0_12),
% 0.11/0.34 inference(component_clause,[status(thm)],[f575])).
% 0.11/0.34 fof(f578,plain,(
% 0.11/0.34 neq(sk0_0,sk0_1)|sk0_0=sk0_1),
% 0.11/0.34 inference(resolution,[status(thm)],[f497,f104])).
% 0.11/0.34 fof(f579,plain,(
% 0.11/0.34 spl0_11|spl0_12),
% 0.11/0.34 inference(split_clause,[status(thm)],[f578,f572,f575])).
% 0.11/0.34 fof(f580,plain,(
% 0.11/0.34 spl0_13 <=> neq(sk0_0,sk0_0)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f581,plain,(
% 0.11/0.34 neq(sk0_0,sk0_0)|~spl0_13),
% 0.11/0.34 inference(component_clause,[status(thm)],[f580])).
% 0.11/0.34 fof(f583,plain,(
% 0.11/0.34 spl0_14 <=> sk0_0=sk0_0),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f586,plain,(
% 0.11/0.34 neq(sk0_0,sk0_0)|sk0_0=sk0_0),
% 0.11/0.34 inference(resolution,[status(thm)],[f497,f103])).
% 0.11/0.34 fof(f587,plain,(
% 0.11/0.34 spl0_13|spl0_14),
% 0.11/0.34 inference(split_clause,[status(thm)],[f586,f580,f583])).
% 0.11/0.34 fof(f588,plain,(
% 0.11/0.34 spl0_15 <=> neq(sk0_1,sk0_1)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f589,plain,(
% 0.11/0.34 neq(sk0_1,sk0_1)|~spl0_15),
% 0.11/0.34 inference(component_clause,[status(thm)],[f588])).
% 0.11/0.34 fof(f591,plain,(
% 0.11/0.34 spl0_16 <=> sk0_1=sk0_1),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f594,plain,(
% 0.11/0.34 neq(sk0_1,sk0_1)|sk0_1=sk0_1),
% 0.11/0.34 inference(resolution,[status(thm)],[f498,f104])).
% 0.11/0.34 fof(f595,plain,(
% 0.11/0.34 spl0_15|spl0_16),
% 0.11/0.34 inference(split_clause,[status(thm)],[f594,f588,f591])).
% 0.11/0.34 fof(f596,plain,(
% 0.11/0.34 spl0_17 <=> neq(sk0_1,sk0_0)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f599,plain,(
% 0.11/0.34 neq(sk0_1,sk0_0)|sk0_1=sk0_0),
% 0.11/0.34 inference(resolution,[status(thm)],[f498,f103])).
% 0.11/0.34 fof(f600,plain,(
% 0.11/0.34 spl0_17|spl0_12),
% 0.11/0.34 inference(split_clause,[status(thm)],[f599,f596,f575])).
% 0.11/0.34 fof(f601,plain,(
% 0.11/0.34 $false|~spl0_12),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f576,f105])).
% 0.11/0.34 fof(f602,plain,(
% 0.11/0.34 ~spl0_12),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f601])).
% 0.11/0.34 fof(f603,plain,(
% 0.11/0.34 ![X0]: (~ssList(X0)|neq(sk0_47,X0)|sk0_47=X0)),
% 0.11/0.34 inference(resolution,[status(thm)],[f220,f420])).
% 0.11/0.34 fof(f604,plain,(
% 0.11/0.34 ![X0]: (~ssList(X0)|neq(nil,X0)|nil=X0)),
% 0.11/0.34 inference(resolution,[status(thm)],[f220,f223])).
% 0.11/0.34 fof(f608,plain,(
% 0.11/0.34 spl0_19 <=> sk0_47=sk0_47),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f613,plain,(
% 0.11/0.34 neq(sk0_47,nil)|sk0_47=nil),
% 0.11/0.34 inference(resolution,[status(thm)],[f603,f223])).
% 0.11/0.34 fof(f614,plain,(
% 0.11/0.34 spl0_2|spl0_8),
% 0.11/0.34 inference(split_clause,[status(thm)],[f613,f443,f538])).
% 0.11/0.34 fof(f616,plain,(
% 0.11/0.34 spl0_20 <=> neq(nil,sk0_47)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f619,plain,(
% 0.11/0.34 neq(nil,sk0_47)|nil=sk0_47),
% 0.11/0.34 inference(resolution,[status(thm)],[f604,f420])).
% 0.11/0.34 fof(f620,plain,(
% 0.11/0.34 spl0_20|spl0_8),
% 0.11/0.34 inference(split_clause,[status(thm)],[f619,f616,f538])).
% 0.11/0.34 fof(f626,plain,(
% 0.11/0.34 spl0_22 <=> rearsegP(nil,sk0_47)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f629,plain,(
% 0.11/0.34 ~ssList(sk0_47)|~ssList(nil)|~rearsegP(nil,sk0_47)|sk0_47=nil),
% 0.11/0.34 inference(resolution,[status(thm)],[f303,f533])).
% 0.11/0.34 fof(f630,plain,(
% 0.11/0.34 ~spl0_7|~spl0_9|~spl0_22|spl0_8),
% 0.11/0.34 inference(split_clause,[status(thm)],[f629,f535,f543,f626,f538])).
% 0.11/0.34 fof(f631,plain,(
% 0.11/0.34 spl0_23 <=> rearsegP(sk0_47,sk0_47)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f633,plain,(
% 0.11/0.34 ~rearsegP(sk0_47,sk0_47)|spl0_23),
% 0.11/0.34 inference(component_clause,[status(thm)],[f631])).
% 0.11/0.34 fof(f634,plain,(
% 0.11/0.34 ~ssList(sk0_47)|~ssList(sk0_47)|~rearsegP(sk0_47,sk0_47)|sk0_47=sk0_47),
% 0.11/0.34 inference(resolution,[status(thm)],[f303,f496])).
% 0.11/0.34 fof(f635,plain,(
% 0.11/0.34 ~spl0_7|~spl0_23|spl0_19),
% 0.11/0.34 inference(split_clause,[status(thm)],[f634,f535,f631,f608])).
% 0.11/0.34 fof(f641,plain,(
% 0.11/0.34 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|rearsegP(app(sk0_47,X0),X1))),
% 0.11/0.34 inference(resolution,[status(thm)],[f307,f420])).
% 0.11/0.34 fof(f642,plain,(
% 0.11/0.34 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|rearsegP(app(nil,X0),X1))),
% 0.11/0.34 inference(resolution,[status(thm)],[f307,f223])).
% 0.11/0.34 fof(f643,plain,(
% 0.11/0.34 spl0_25 <=> rearsegP(app(sk0_47,sk0_47),nil)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f644,plain,(
% 0.11/0.34 rearsegP(app(sk0_47,sk0_47),nil)|~spl0_25),
% 0.11/0.34 inference(component_clause,[status(thm)],[f643])).
% 0.11/0.34 fof(f646,plain,(
% 0.11/0.34 ~ssList(sk0_47)|~ssList(nil)|rearsegP(app(sk0_47,sk0_47),nil)),
% 0.11/0.34 inference(resolution,[status(thm)],[f641,f533])).
% 0.11/0.34 fof(f647,plain,(
% 0.11/0.34 ~spl0_7|~spl0_9|spl0_25),
% 0.11/0.34 inference(split_clause,[status(thm)],[f646,f535,f543,f643])).
% 0.11/0.34 fof(f648,plain,(
% 0.11/0.34 spl0_26 <=> rearsegP(app(sk0_47,sk0_47),sk0_47)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f649,plain,(
% 0.11/0.34 rearsegP(app(sk0_47,sk0_47),sk0_47)|~spl0_26),
% 0.11/0.34 inference(component_clause,[status(thm)],[f648])).
% 0.11/0.34 fof(f651,plain,(
% 0.11/0.34 ~ssList(sk0_47)|~ssList(sk0_47)|rearsegP(app(sk0_47,sk0_47),sk0_47)),
% 0.11/0.34 inference(resolution,[status(thm)],[f641,f496])).
% 0.11/0.34 fof(f652,plain,(
% 0.11/0.34 ~spl0_7|spl0_26),
% 0.11/0.34 inference(split_clause,[status(thm)],[f651,f535,f648])).
% 0.11/0.34 fof(f653,plain,(
% 0.11/0.34 spl0_27 <=> rearsegP(app(sk0_47,nil),nil)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f654,plain,(
% 0.11/0.34 rearsegP(app(sk0_47,nil),nil)|~spl0_27),
% 0.11/0.34 inference(component_clause,[status(thm)],[f653])).
% 0.11/0.34 fof(f656,plain,(
% 0.11/0.34 ~ssList(nil)|~ssList(nil)|rearsegP(app(sk0_47,nil),nil)),
% 0.11/0.34 inference(resolution,[status(thm)],[f641,f494])).
% 0.11/0.34 fof(f657,plain,(
% 0.11/0.34 ~spl0_9|spl0_27),
% 0.11/0.34 inference(split_clause,[status(thm)],[f656,f543,f653])).
% 0.11/0.34 fof(f658,plain,(
% 0.11/0.34 $false|spl0_7),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f537,f420])).
% 0.11/0.34 fof(f659,plain,(
% 0.11/0.34 spl0_7),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f658])).
% 0.11/0.34 fof(f660,plain,(
% 0.11/0.34 $false|spl0_23),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f633,f496])).
% 0.11/0.34 fof(f661,plain,(
% 0.11/0.34 spl0_23),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f660])).
% 0.11/0.34 fof(f662,plain,(
% 0.11/0.34 spl0_28 <=> ~ssList(X0)|~rearsegP(nil,X0)|rearsegP(sk0_47,X0)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f663,plain,(
% 0.11/0.34 ![X0]: (~ssList(X0)|~rearsegP(nil,X0)|rearsegP(sk0_47,X0)|~spl0_28)),
% 0.11/0.34 inference(component_clause,[status(thm)],[f662])).
% 0.11/0.34 fof(f665,plain,(
% 0.11/0.34 ![X0]: (~ssList(sk0_47)|~ssList(nil)|~ssList(X0)|~rearsegP(nil,X0)|rearsegP(sk0_47,X0))),
% 0.11/0.34 inference(resolution,[status(thm)],[f301,f533])).
% 0.11/0.34 fof(f666,plain,(
% 0.11/0.34 ~spl0_7|~spl0_9|spl0_28),
% 0.11/0.34 inference(split_clause,[status(thm)],[f665,f535,f543,f662])).
% 0.11/0.34 fof(f667,plain,(
% 0.11/0.34 spl0_29 <=> ~ssList(X0)|~rearsegP(sk0_47,X0)|rearsegP(sk0_47,X0)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f670,plain,(
% 0.11/0.34 ![X0]: (~ssList(sk0_47)|~ssList(sk0_47)|~ssList(X0)|~rearsegP(sk0_47,X0)|rearsegP(sk0_47,X0))),
% 0.11/0.34 inference(resolution,[status(thm)],[f301,f496])).
% 0.11/0.34 fof(f671,plain,(
% 0.11/0.34 ~spl0_7|spl0_29),
% 0.11/0.34 inference(split_clause,[status(thm)],[f670,f535,f667])).
% 0.11/0.34 fof(f672,plain,(
% 0.11/0.34 spl0_30 <=> ~ssList(X0)|~rearsegP(nil,X0)|rearsegP(nil,X0)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f675,plain,(
% 0.11/0.34 ![X0]: (~ssList(nil)|~ssList(nil)|~ssList(X0)|~rearsegP(nil,X0)|rearsegP(nil,X0))),
% 0.11/0.34 inference(resolution,[status(thm)],[f301,f494])).
% 0.11/0.34 fof(f676,plain,(
% 0.11/0.34 ~spl0_9|spl0_30),
% 0.11/0.34 inference(split_clause,[status(thm)],[f675,f543,f672])).
% 0.11/0.34 fof(f677,plain,(
% 0.11/0.34 spl0_31 <=> rearsegP(app(nil,sk0_47),nil)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f678,plain,(
% 0.11/0.34 rearsegP(app(nil,sk0_47),nil)|~spl0_31),
% 0.11/0.34 inference(component_clause,[status(thm)],[f677])).
% 0.11/0.34 fof(f680,plain,(
% 0.11/0.34 ~ssList(sk0_47)|~ssList(nil)|rearsegP(app(nil,sk0_47),nil)),
% 0.11/0.34 inference(resolution,[status(thm)],[f642,f533])).
% 0.11/0.34 fof(f681,plain,(
% 0.11/0.34 ~spl0_7|~spl0_9|spl0_31),
% 0.11/0.34 inference(split_clause,[status(thm)],[f680,f535,f543,f677])).
% 0.11/0.34 fof(f682,plain,(
% 0.11/0.34 spl0_32 <=> rearsegP(app(nil,sk0_47),sk0_47)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f685,plain,(
% 0.11/0.34 ~ssList(sk0_47)|~ssList(sk0_47)|rearsegP(app(nil,sk0_47),sk0_47)),
% 0.11/0.34 inference(resolution,[status(thm)],[f642,f496])).
% 0.11/0.34 fof(f686,plain,(
% 0.11/0.34 ~spl0_7|spl0_32),
% 0.11/0.34 inference(split_clause,[status(thm)],[f685,f535,f682])).
% 0.11/0.34 fof(f687,plain,(
% 0.11/0.34 spl0_33 <=> rearsegP(app(nil,nil),nil)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f690,plain,(
% 0.11/0.34 ~ssList(nil)|~ssList(nil)|rearsegP(app(nil,nil),nil)),
% 0.11/0.34 inference(resolution,[status(thm)],[f642,f494])).
% 0.11/0.34 fof(f691,plain,(
% 0.11/0.34 ~spl0_9|spl0_33),
% 0.11/0.34 inference(split_clause,[status(thm)],[f690,f543,f687])).
% 0.11/0.34 fof(f721,plain,(
% 0.11/0.34 ~ssList(nil)|~spl0_4|~spl0_1),
% 0.11/0.34 inference(resolution,[status(thm)],[f562,f477])).
% 0.11/0.34 fof(f722,plain,(
% 0.11/0.34 ~spl0_9|~spl0_4|~spl0_1),
% 0.11/0.34 inference(split_clause,[status(thm)],[f721,f543,f450,f439])).
% 0.11/0.34 fof(f726,plain,(
% 0.11/0.34 ~ssItem(sk0_0)|~spl0_13),
% 0.11/0.34 inference(resolution,[status(thm)],[f581,f462])).
% 0.11/0.34 fof(f727,plain,(
% 0.11/0.34 $false|~spl0_13),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f726,f103])).
% 0.11/0.34 fof(f728,plain,(
% 0.11/0.34 ~spl0_13),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f727])).
% 0.11/0.34 fof(f730,plain,(
% 0.11/0.34 ~ssItem(sk0_1)|~spl0_15),
% 0.11/0.34 inference(resolution,[status(thm)],[f589,f462])).
% 0.11/0.34 fof(f731,plain,(
% 0.11/0.34 $false|~spl0_15),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f730,f104])).
% 0.11/0.34 fof(f732,plain,(
% 0.11/0.34 ~spl0_15),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f731])).
% 0.11/0.34 fof(f737,plain,(
% 0.11/0.34 neq(nil,nil)|~spl0_8|~spl0_5),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f539,f522])).
% 0.11/0.34 fof(f738,plain,(
% 0.11/0.34 ~ssList(nil)|~spl0_8|~spl0_5),
% 0.11/0.34 inference(resolution,[status(thm)],[f737,f477])).
% 0.11/0.34 fof(f739,plain,(
% 0.11/0.34 ~spl0_9|~spl0_8|~spl0_5),
% 0.11/0.34 inference(split_clause,[status(thm)],[f738,f543,f538,f453])).
% 0.11/0.34 fof(f741,plain,(
% 0.11/0.34 spl0_34 <=> ssList(sk0_50)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f743,plain,(
% 0.11/0.34 ~ssList(sk0_50)|spl0_34),
% 0.11/0.34 inference(component_clause,[status(thm)],[f741])).
% 0.11/0.34 fof(f762,plain,(
% 0.11/0.34 spl0_39 <=> ssList(app(sk0_47,nil))),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f765,plain,(
% 0.11/0.34 spl0_40 <=> rearsegP(app(nil,app(sk0_47,nil)),nil)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f768,plain,(
% 0.11/0.34 ~ssList(app(sk0_47,nil))|~ssList(nil)|rearsegP(app(nil,app(sk0_47,nil)),nil)|~spl0_27),
% 0.11/0.34 inference(resolution,[status(thm)],[f654,f642])).
% 0.11/0.34 fof(f769,plain,(
% 0.11/0.34 ~spl0_39|~spl0_9|spl0_40|~spl0_27),
% 0.11/0.34 inference(split_clause,[status(thm)],[f768,f762,f543,f765,f653])).
% 0.11/0.34 fof(f770,plain,(
% 0.11/0.34 spl0_41 <=> ~ssList(X0)|~rearsegP(nil,X0)|rearsegP(app(sk0_47,nil),X0)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f773,plain,(
% 0.11/0.34 ![X0]: (~ssList(app(sk0_47,nil))|~ssList(nil)|~ssList(X0)|~rearsegP(nil,X0)|rearsegP(app(sk0_47,nil),X0)|~spl0_27)),
% 0.11/0.34 inference(resolution,[status(thm)],[f654,f301])).
% 0.11/0.34 fof(f774,plain,(
% 0.11/0.34 ~spl0_39|~spl0_9|spl0_41|~spl0_27),
% 0.11/0.34 inference(split_clause,[status(thm)],[f773,f762,f543,f770,f653])).
% 0.11/0.34 fof(f775,plain,(
% 0.11/0.34 spl0_42 <=> rearsegP(nil,app(sk0_47,nil))),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f778,plain,(
% 0.11/0.34 spl0_43 <=> app(sk0_47,nil)=nil),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f781,plain,(
% 0.11/0.34 ~ssList(app(sk0_47,nil))|~ssList(nil)|~rearsegP(nil,app(sk0_47,nil))|app(sk0_47,nil)=nil|~spl0_27),
% 0.11/0.34 inference(resolution,[status(thm)],[f654,f303])).
% 0.11/0.34 fof(f782,plain,(
% 0.11/0.34 ~spl0_39|~spl0_9|~spl0_42|spl0_43|~spl0_27),
% 0.11/0.34 inference(split_clause,[status(thm)],[f781,f762,f543,f775,f778,f653])).
% 0.11/0.34 fof(f783,plain,(
% 0.11/0.34 spl0_44 <=> ssList(app(sk0_47,sk0_47))),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f786,plain,(
% 0.11/0.34 spl0_45 <=> rearsegP(app(nil,app(sk0_47,sk0_47)),nil)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f789,plain,(
% 0.11/0.34 ~ssList(app(sk0_47,sk0_47))|~ssList(nil)|rearsegP(app(nil,app(sk0_47,sk0_47)),nil)|~spl0_25),
% 0.11/0.34 inference(resolution,[status(thm)],[f644,f642])).
% 0.11/0.34 fof(f790,plain,(
% 0.11/0.34 ~spl0_44|~spl0_9|spl0_45|~spl0_25),
% 0.11/0.34 inference(split_clause,[status(thm)],[f789,f783,f543,f786,f643])).
% 0.11/0.34 fof(f791,plain,(
% 0.11/0.34 spl0_46 <=> ~ssList(X0)|~rearsegP(nil,X0)|rearsegP(app(sk0_47,sk0_47),X0)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f794,plain,(
% 0.11/0.34 ![X0]: (~ssList(app(sk0_47,sk0_47))|~ssList(nil)|~ssList(X0)|~rearsegP(nil,X0)|rearsegP(app(sk0_47,sk0_47),X0)|~spl0_25)),
% 0.11/0.34 inference(resolution,[status(thm)],[f644,f301])).
% 0.11/0.34 fof(f795,plain,(
% 0.11/0.34 ~spl0_44|~spl0_9|spl0_46|~spl0_25),
% 0.11/0.34 inference(split_clause,[status(thm)],[f794,f783,f543,f791,f643])).
% 0.11/0.34 fof(f796,plain,(
% 0.11/0.34 spl0_47 <=> rearsegP(nil,app(sk0_47,sk0_47))),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f799,plain,(
% 0.11/0.34 spl0_48 <=> app(sk0_47,sk0_47)=nil),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f802,plain,(
% 0.11/0.34 ~ssList(app(sk0_47,sk0_47))|~ssList(nil)|~rearsegP(nil,app(sk0_47,sk0_47))|app(sk0_47,sk0_47)=nil|~spl0_25),
% 0.11/0.34 inference(resolution,[status(thm)],[f644,f303])).
% 0.11/0.34 fof(f803,plain,(
% 0.11/0.34 ~spl0_44|~spl0_9|~spl0_47|spl0_48|~spl0_25),
% 0.11/0.34 inference(split_clause,[status(thm)],[f802,f783,f543,f796,f799,f643])).
% 0.11/0.34 fof(f804,plain,(
% 0.11/0.34 spl0_49 <=> rearsegP(app(nil,app(sk0_47,sk0_47)),sk0_47)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f807,plain,(
% 0.11/0.34 ~ssList(app(sk0_47,sk0_47))|~ssList(sk0_47)|rearsegP(app(nil,app(sk0_47,sk0_47)),sk0_47)|~spl0_26),
% 0.11/0.34 inference(resolution,[status(thm)],[f649,f642])).
% 0.11/0.34 fof(f808,plain,(
% 0.11/0.34 ~spl0_44|~spl0_7|spl0_49|~spl0_26),
% 0.11/0.34 inference(split_clause,[status(thm)],[f807,f783,f535,f804,f648])).
% 0.11/0.34 fof(f809,plain,(
% 0.11/0.34 spl0_50 <=> ~ssList(X0)|~rearsegP(sk0_47,X0)|rearsegP(app(sk0_47,sk0_47),X0)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f812,plain,(
% 0.11/0.34 ![X0]: (~ssList(app(sk0_47,sk0_47))|~ssList(sk0_47)|~ssList(X0)|~rearsegP(sk0_47,X0)|rearsegP(app(sk0_47,sk0_47),X0)|~spl0_26)),
% 0.11/0.34 inference(resolution,[status(thm)],[f649,f301])).
% 0.11/0.34 fof(f813,plain,(
% 0.11/0.34 ~spl0_44|~spl0_7|spl0_50|~spl0_26),
% 0.11/0.34 inference(split_clause,[status(thm)],[f812,f783,f535,f809,f648])).
% 0.11/0.34 fof(f814,plain,(
% 0.11/0.34 spl0_51 <=> rearsegP(sk0_47,app(sk0_47,sk0_47))),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f817,plain,(
% 0.11/0.34 spl0_52 <=> app(sk0_47,sk0_47)=sk0_47),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f820,plain,(
% 0.11/0.34 ~ssList(app(sk0_47,sk0_47))|~ssList(sk0_47)|~rearsegP(sk0_47,app(sk0_47,sk0_47))|app(sk0_47,sk0_47)=sk0_47|~spl0_26),
% 0.11/0.34 inference(resolution,[status(thm)],[f649,f303])).
% 0.11/0.34 fof(f821,plain,(
% 0.11/0.34 ~spl0_44|~spl0_7|~spl0_51|spl0_52|~spl0_26),
% 0.11/0.34 inference(split_clause,[status(thm)],[f820,f783,f535,f814,f817,f648])).
% 0.11/0.34 fof(f822,plain,(
% 0.11/0.34 spl0_53 <=> rearsegP(sk0_47,nil)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f825,plain,(
% 0.11/0.34 ~ssList(nil)|rearsegP(sk0_47,nil)|~spl0_28),
% 0.11/0.34 inference(resolution,[status(thm)],[f663,f494])).
% 0.11/0.34 fof(f826,plain,(
% 0.11/0.34 ~spl0_9|spl0_53|~spl0_28),
% 0.11/0.34 inference(split_clause,[status(thm)],[f825,f543,f822,f662])).
% 0.11/0.34 fof(f827,plain,(
% 0.11/0.34 spl0_54 <=> ssList(app(nil,sk0_47))),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f830,plain,(
% 0.11/0.34 spl0_55 <=> rearsegP(app(nil,app(nil,sk0_47)),nil)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f833,plain,(
% 0.11/0.34 ~ssList(app(nil,sk0_47))|~ssList(nil)|rearsegP(app(nil,app(nil,sk0_47)),nil)|~spl0_31),
% 0.11/0.34 inference(resolution,[status(thm)],[f678,f642])).
% 0.11/0.34 fof(f834,plain,(
% 0.11/0.34 ~spl0_54|~spl0_9|spl0_55|~spl0_31),
% 0.11/0.34 inference(split_clause,[status(thm)],[f833,f827,f543,f830,f677])).
% 0.11/0.34 fof(f835,plain,(
% 0.11/0.34 spl0_56 <=> ~ssList(X0)|~rearsegP(nil,X0)|rearsegP(app(nil,sk0_47),X0)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f838,plain,(
% 0.11/0.34 ![X0]: (~ssList(app(nil,sk0_47))|~ssList(nil)|~ssList(X0)|~rearsegP(nil,X0)|rearsegP(app(nil,sk0_47),X0)|~spl0_31)),
% 0.11/0.34 inference(resolution,[status(thm)],[f678,f301])).
% 0.11/0.34 fof(f839,plain,(
% 0.11/0.34 ~spl0_54|~spl0_9|spl0_56|~spl0_31),
% 0.11/0.34 inference(split_clause,[status(thm)],[f838,f827,f543,f835,f677])).
% 0.11/0.34 fof(f840,plain,(
% 0.11/0.34 spl0_57 <=> rearsegP(nil,app(nil,sk0_47))),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f843,plain,(
% 0.11/0.34 spl0_58 <=> app(nil,sk0_47)=nil),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f846,plain,(
% 0.11/0.34 ~ssList(app(nil,sk0_47))|~ssList(nil)|~rearsegP(nil,app(nil,sk0_47))|app(nil,sk0_47)=nil|~spl0_31),
% 0.11/0.34 inference(resolution,[status(thm)],[f678,f303])).
% 0.11/0.34 fof(f847,plain,(
% 0.11/0.34 ~spl0_54|~spl0_9|~spl0_57|spl0_58|~spl0_31),
% 0.11/0.34 inference(split_clause,[status(thm)],[f846,f827,f543,f840,f843,f677])).
% 0.11/0.34 fof(f876,plain,(
% 0.11/0.34 ~ssList(sk0_48)|spl0_34),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f424,f743])).
% 0.11/0.34 fof(f877,plain,(
% 0.11/0.34 $false|spl0_34),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f876,f421])).
% 0.11/0.34 fof(f878,plain,(
% 0.11/0.34 spl0_34),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f877])).
% 0.11/0.34 fof(f879,plain,(
% 0.11/0.34 rearsegP(sk0_48,sk0_47)|~spl0_6),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f424,f521])).
% 0.11/0.34 fof(f880,plain,(
% 0.11/0.34 $false|spl0_3|~spl0_6),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f879,f448])).
% 0.11/0.34 fof(f881,plain,(
% 0.11/0.34 spl0_3|~spl0_6),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f880])).
% 0.11/0.34 fof(f882,plain,(
% 0.11/0.34 $false),
% 0.11/0.34 inference(sat_refutation,[status(thm)],[f442,f449,f456,f460,f517,f542,f550,f552,f579,f587,f595,f600,f602,f614,f620,f630,f635,f647,f652,f657,f659,f661,f666,f671,f676,f681,f686,f691,f722,f728,f732,f739,f769,f774,f782,f790,f795,f803,f808,f813,f821,f826,f834,f839,f847,f878,f881])).
% 0.11/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.36 % Elapsed time: 0.026243 seconds
% 0.11/0.36 % CPU time: 0.061809 seconds
% 0.11/0.36 % Total memory used: 17.053 MB
% 0.11/0.36 % Net memory used: 17.008 MB
%------------------------------------------------------------------------------