TSTP Solution File: GRA007+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRA007+1 : TPTP v8.1.2. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:09:28 EDT 2023
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRA007+1 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n026.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:53:43 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,axiom,(
% 0.14/0.38 (! [E] :( edge(E)=> head_of(E) != tail_of(E) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,axiom,(
% 0.14/0.38 (! [E] :( edge(E)=> ( vertex(head_of(E))& vertex(tail_of(E)) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,axiom,(
% 0.14/0.38 ( complete=> (! [V1,V2] :( ( vertex(V1)& vertex(V2)& V1 != V2 )=> (? [E] :( edge(E)& ( ( V1 = head_of(E)& V2 = tail_of(E) )<~> ( V2 = head_of(E)& V1 = tail_of(E) ) ) ) )) )) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f5,axiom,(
% 0.14/0.38 (! [V1,V2,P] :( path(V1,V2,P)=> ( vertex(V1)& vertex(V2)& (? [E] :( edge(E)& V1 = tail_of(E)& ( ( V2 = head_of(E)& P = path_cons(E,empty) )<~> (? [TP] :( path(head_of(E),V2,TP)& P = path_cons(E,TP) ) )) ) )) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f6,axiom,(
% 0.14/0.38 (! [V1,V2,P,E] :( ( path(V1,V2,P)& on_path(E,P) )=> ( edge(E)& in_path(head_of(E),P)& in_path(tail_of(E),P) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f7,axiom,(
% 0.14/0.38 (! [V1,V2,P,V] :( ( path(V1,V2,P)& in_path(V,P) )=> ( vertex(V)& (? [E] :( on_path(E,P)& ( V = head_of(E)| V = tail_of(E) ) ) )) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f8,axiom,(
% 0.14/0.38 (! [E1,E2] :( sequential(E1,E2)<=> ( edge(E1)& edge(E2)& E1 != E2& head_of(E1) = tail_of(E2) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f9,axiom,(
% 0.14/0.38 (! [P,V1,V2] :( path(V1,V2,P)=> (! [E1,E2] :( precedes(E1,E2,P)<= ( on_path(E1,P)& on_path(E2,P)& ( sequential(E1,E2)| (? [E3] :( sequential(E1,E3)& precedes(E3,E2,P) ) )) ) ) )) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f10,axiom,(
% 0.14/0.38 (! [P,V1,V2] :( path(V1,V2,P)=> (! [E1,E2] :( precedes(E1,E2,P)=> ( on_path(E1,P)& on_path(E2,P)& ( sequential(E1,E2)<~> (? [E3] :( sequential(E1,E3)& precedes(E3,E2,P) ) )) ) ) )) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f11,axiom,(
% 0.14/0.38 (! [V1,V2,SP] :( shortest_path(V1,V2,SP)<=> ( path(V1,V2,SP)& V1 != V2& (! [P] :( path(V1,V2,P)=> less_or_equal(length_of(SP),length_of(P)) ) )) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f12,axiom,(
% 0.14/0.38 (! [V1,V2,E1,E2,P] :( ( shortest_path(V1,V2,P)& precedes(E1,E2,P) )=> ( ~ (? [E3] :( tail_of(E3) = tail_of(E1)& head_of(E3) = head_of(E2) ))& ~ precedes(E2,E1,P) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f18,conjecture,(
% 0.14/0.38 ( complete=> (! [V1,V2,E1,E2,P] :( ( shortest_path(V1,V2,P)& precedes(E1,E2,P) )=> (? [E3] :( edge(E3)& tail_of(E3) = head_of(E2)& head_of(E3) = tail_of(E1) ) )) )) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f19,negated_conjecture,(
% 0.14/0.38 ~(( complete=> (! [V1,V2,E1,E2,P] :( ( shortest_path(V1,V2,P)& precedes(E1,E2,P) )=> (? [E3] :( edge(E3)& tail_of(E3) = head_of(E2)& head_of(E3) = tail_of(E1) ) )) )) )),
% 0.14/0.38 inference(negated_conjecture,[status(cth)],[f18])).
% 0.14/0.38 fof(f20,plain,(
% 0.14/0.38 ![E]: (~edge(E)|~head_of(E)=tail_of(E))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.14/0.38 fof(f21,plain,(
% 0.14/0.38 ![X0]: (~edge(X0)|~head_of(X0)=tail_of(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f20])).
% 0.14/0.38 fof(f22,plain,(
% 0.14/0.38 ![E]: (~edge(E)|(vertex(head_of(E))&vertex(tail_of(E))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.14/0.38 fof(f23,plain,(
% 0.14/0.38 ![X0]: (~edge(X0)|vertex(head_of(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f22])).
% 0.14/0.38 fof(f24,plain,(
% 0.14/0.38 ![X0]: (~edge(X0)|vertex(tail_of(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f22])).
% 0.14/0.38 fof(f25,plain,(
% 0.14/0.38 ~complete|(![V1,V2]: (((~vertex(V1)|~vertex(V2))|V1=V2)|(?[E]: (edge(E)&((V1=head_of(E)&V2=tail_of(E))<~>(V2=head_of(E)&V1=tail_of(E)))))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.14/0.38 fof(f26,plain,(
% 0.14/0.38 ![V1,V2,E]: (pd0_0(E,V2,V1)<=>(V1=head_of(E)&V2=tail_of(E)))),
% 0.14/0.38 introduced(predicate_definition,[f25])).
% 0.14/0.38 fof(f27,plain,(
% 0.14/0.38 ~complete|(![V1,V2]: (((~vertex(V1)|~vertex(V2))|V1=V2)|(?[E]: (edge(E)&(pd0_0(E,V2,V1)<~>(V2=head_of(E)&V1=tail_of(E)))))))),
% 0.14/0.38 inference(formula_renaming,[status(thm)],[f25,f26])).
% 0.14/0.38 fof(f28,plain,(
% 0.14/0.38 ~complete|(![V1,V2]: (((~vertex(V1)|~vertex(V2))|V1=V2)|(?[E]: (edge(E)&((pd0_0(E,V2,V1)|(V2=head_of(E)&V1=tail_of(E)))&(~pd0_0(E,V2,V1)|(~V2=head_of(E)|~V1=tail_of(E))))))))),
% 0.14/0.38 inference(NNF_transformation,[status(esa)],[f27])).
% 0.14/0.38 fof(f29,plain,(
% 0.14/0.38 ~complete|(![V1,V2]: (((~vertex(V1)|~vertex(V2))|V1=V2)|(edge(sk0_0(V2,V1))&((pd0_0(sk0_0(V2,V1),V2,V1)|(V2=head_of(sk0_0(V2,V1))&V1=tail_of(sk0_0(V2,V1))))&(~pd0_0(sk0_0(V2,V1),V2,V1)|(~V2=head_of(sk0_0(V2,V1))|~V1=tail_of(sk0_0(V2,V1))))))))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f28])).
% 0.14/0.38 fof(f30,plain,(
% 0.14/0.38 ![X0,X1]: (~complete|~vertex(X0)|~vertex(X1)|X0=X1|edge(sk0_0(X1,X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f29])).
% 0.14/0.38 fof(f31,plain,(
% 0.14/0.38 ![X0,X1]: (~complete|~vertex(X0)|~vertex(X1)|X0=X1|pd0_0(sk0_0(X1,X0),X1,X0)|X1=head_of(sk0_0(X1,X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f29])).
% 0.14/0.38 fof(f32,plain,(
% 0.14/0.38 ![X0,X1]: (~complete|~vertex(X0)|~vertex(X1)|X0=X1|pd0_0(sk0_0(X1,X0),X1,X0)|X0=tail_of(sk0_0(X1,X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f29])).
% 0.14/0.38 fof(f33,plain,(
% 0.14/0.38 ![X0,X1]: (~complete|~vertex(X0)|~vertex(X1)|X0=X1|~pd0_0(sk0_0(X1,X0),X1,X0)|~X1=head_of(sk0_0(X1,X0))|~X0=tail_of(sk0_0(X1,X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f29])).
% 0.14/0.38 fof(f37,plain,(
% 0.14/0.38 ![V1,V2,P]: (~path(V1,V2,P)|((vertex(V1)&vertex(V2))&(?[E]: ((edge(E)&V1=tail_of(E))&((V2=head_of(E)&P=path_cons(E,empty))<~>(?[TP]: (path(head_of(E),V2,TP)&P=path_cons(E,TP))))))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.14/0.38 fof(f38,plain,(
% 0.14/0.38 ![V2,P,E]: (pd0_1(E,P,V2)<=>(V2=head_of(E)&P=path_cons(E,empty)))),
% 0.14/0.38 introduced(predicate_definition,[f37])).
% 0.14/0.38 fof(f39,plain,(
% 0.14/0.38 ![V1,V2,P]: (~path(V1,V2,P)|((vertex(V1)&vertex(V2))&(?[E]: ((edge(E)&V1=tail_of(E))&(pd0_1(E,P,V2)<~>(?[TP]: (path(head_of(E),V2,TP)&P=path_cons(E,TP))))))))),
% 0.14/0.38 inference(formula_renaming,[status(thm)],[f37,f38])).
% 0.14/0.38 fof(f40,plain,(
% 0.14/0.38 ![V1,V2,P]: (~path(V1,V2,P)|((vertex(V1)&vertex(V2))&(?[E]: ((edge(E)&V1=tail_of(E))&((pd0_1(E,P,V2)|(?[TP]: (path(head_of(E),V2,TP)&P=path_cons(E,TP))))&(~pd0_1(E,P,V2)|(![TP]: (~path(head_of(E),V2,TP)|~P=path_cons(E,TP)))))))))),
% 0.14/0.38 inference(NNF_transformation,[status(esa)],[f39])).
% 0.14/0.38 fof(f41,plain,(
% 0.14/0.38 ![V1,V2,P]: (~path(V1,V2,P)|((vertex(V1)&vertex(V2))&((edge(sk0_1(P,V2,V1))&V1=tail_of(sk0_1(P,V2,V1)))&((pd0_1(sk0_1(P,V2,V1),P,V2)|(path(head_of(sk0_1(P,V2,V1)),V2,sk0_2(P,V2,V1))&P=path_cons(sk0_1(P,V2,V1),sk0_2(P,V2,V1))))&(~pd0_1(sk0_1(P,V2,V1),P,V2)|(![TP]: (~path(head_of(sk0_1(P,V2,V1)),V2,TP)|~P=path_cons(sk0_1(P,V2,V1),TP))))))))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f40])).
% 0.14/0.38 fof(f44,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~path(X0,X1,X2)|edge(sk0_1(X2,X1,X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f41])).
% 0.14/0.38 fof(f45,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~path(X0,X1,X2)|X0=tail_of(sk0_1(X2,X1,X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f41])).
% 0.14/0.38 fof(f49,plain,(
% 0.14/0.38 ![V1,V2,P,E]: ((~path(V1,V2,P)|~on_path(E,P))|((edge(E)&in_path(head_of(E),P))&in_path(tail_of(E),P)))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.14/0.38 fof(f50,plain,(
% 0.14/0.38 ![P,E]: (((![V1,V2]: ~path(V1,V2,P))|~on_path(E,P))|((edge(E)&in_path(head_of(E),P))&in_path(tail_of(E),P)))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f49])).
% 0.14/0.38 fof(f51,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~path(X0,X1,X2)|~on_path(X3,X2)|edge(X3))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f50])).
% 0.14/0.38 fof(f52,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~path(X0,X1,X2)|~on_path(X3,X2)|in_path(head_of(X3),X2))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f50])).
% 0.14/0.38 fof(f53,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~path(X0,X1,X2)|~on_path(X3,X2)|in_path(tail_of(X3),X2))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f50])).
% 0.14/0.38 fof(f54,plain,(
% 0.14/0.38 ![V1,V2,P,V]: ((~path(V1,V2,P)|~in_path(V,P))|(vertex(V)&(?[E]: (on_path(E,P)&(V=head_of(E)|V=tail_of(E))))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.14/0.38 fof(f55,plain,(
% 0.14/0.38 ![P,V]: (((![V1,V2]: ~path(V1,V2,P))|~in_path(V,P))|(vertex(V)&(?[E]: (on_path(E,P)&(V=head_of(E)|V=tail_of(E))))))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f54])).
% 0.14/0.38 fof(f56,plain,(
% 0.14/0.38 ![P,V]: (((![V1,V2]: ~path(V1,V2,P))|~in_path(V,P))|(vertex(V)&(on_path(sk0_3(V,P),P)&(V=head_of(sk0_3(V,P))|V=tail_of(sk0_3(V,P))))))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f55])).
% 0.14/0.38 fof(f57,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~path(X0,X1,X2)|~in_path(X3,X2)|vertex(X3))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f56])).
% 0.14/0.38 fof(f58,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~path(X0,X1,X2)|~in_path(X3,X2)|on_path(sk0_3(X3,X2),X2))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f56])).
% 0.14/0.38 fof(f60,plain,(
% 0.14/0.38 ![E1,E2]: ((~sequential(E1,E2)|(((edge(E1)&edge(E2))&~E1=E2)&head_of(E1)=tail_of(E2)))&(sequential(E1,E2)|(((~edge(E1)|~edge(E2))|E1=E2)|~head_of(E1)=tail_of(E2))))),
% 0.14/0.38 inference(NNF_transformation,[status(esa)],[f8])).
% 0.14/0.38 fof(f61,plain,(
% 0.14/0.38 (![E1,E2]: (~sequential(E1,E2)|(((edge(E1)&edge(E2))&~E1=E2)&head_of(E1)=tail_of(E2))))&(![E1,E2]: (sequential(E1,E2)|(((~edge(E1)|~edge(E2))|E1=E2)|~head_of(E1)=tail_of(E2))))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f60])).
% 0.14/0.38 fof(f62,plain,(
% 0.14/0.38 ![X0,X1]: (~sequential(X0,X1)|edge(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f61])).
% 0.14/0.38 fof(f65,plain,(
% 0.14/0.38 ![X0,X1]: (~sequential(X0,X1)|head_of(X0)=tail_of(X1))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f61])).
% 0.14/0.38 fof(f66,plain,(
% 0.14/0.38 ![X0,X1]: (sequential(X0,X1)|~edge(X0)|~edge(X1)|X0=X1|~head_of(X0)=tail_of(X1))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f61])).
% 0.14/0.38 fof(f67,plain,(
% 0.14/0.38 ![P,V1,V2]: (~path(V1,V2,P)|(![E1,E2]: (precedes(E1,E2,P)|((~on_path(E1,P)|~on_path(E2,P))|(~sequential(E1,E2)&(![E3]: (~sequential(E1,E3)|~precedes(E3,E2,P))))))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.14/0.38 fof(f68,plain,(
% 0.14/0.38 ![P]: ((![V1,V2]: ~path(V1,V2,P))|(![E1,E2]: (precedes(E1,E2,P)|((~on_path(E1,P)|~on_path(E2,P))|(~sequential(E1,E2)&(![E3]: (~sequential(E1,E3)|~precedes(E3,E2,P))))))))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f67])).
% 0.14/0.38 fof(f69,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4]: (~path(X0,X1,X2)|precedes(X3,X4,X2)|~on_path(X3,X2)|~on_path(X4,X2)|~sequential(X3,X4))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f68])).
% 0.14/0.38 fof(f70,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4,X5]: (~path(X0,X1,X2)|precedes(X3,X4,X2)|~on_path(X3,X2)|~on_path(X4,X2)|~sequential(X3,X5)|~precedes(X5,X4,X2))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f68])).
% 0.14/0.38 fof(f71,plain,(
% 0.14/0.38 ![P,V1,V2]: (~path(V1,V2,P)|(![E1,E2]: (~precedes(E1,E2,P)|((on_path(E1,P)&on_path(E2,P))&(sequential(E1,E2)<~>(?[E3]: (sequential(E1,E3)&precedes(E3,E2,P))))))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.14/0.38 fof(f72,plain,(
% 0.14/0.38 ![P,V1,V2]: (~path(V1,V2,P)|(![E1,E2]: (~precedes(E1,E2,P)|((on_path(E1,P)&on_path(E2,P))&((sequential(E1,E2)|(?[E3]: (sequential(E1,E3)&precedes(E3,E2,P))))&(~sequential(E1,E2)|(![E3]: (~sequential(E1,E3)|~precedes(E3,E2,P)))))))))),
% 0.14/0.38 inference(NNF_transformation,[status(esa)],[f71])).
% 0.14/0.38 fof(f73,plain,(
% 0.14/0.38 ![P]: ((![V1,V2]: ~path(V1,V2,P))|(![E1,E2]: (~precedes(E1,E2,P)|((on_path(E1,P)&on_path(E2,P))&((sequential(E1,E2)|(?[E3]: (sequential(E1,E3)&precedes(E3,E2,P))))&(~sequential(E1,E2)|(![E3]: (~sequential(E1,E3)|~precedes(E3,E2,P)))))))))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f72])).
% 0.14/0.38 fof(f74,plain,(
% 0.14/0.38 ![P]: ((![V1,V2]: ~path(V1,V2,P))|(![E1,E2]: (~precedes(E1,E2,P)|((on_path(E1,P)&on_path(E2,P))&((sequential(E1,E2)|(sequential(E1,sk0_4(E2,E1,P))&precedes(sk0_4(E2,E1,P),E2,P)))&(~sequential(E1,E2)|(![E3]: (~sequential(E1,E3)|~precedes(E3,E2,P)))))))))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f73])).
% 0.14/0.38 fof(f75,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4]: (~path(X0,X1,X2)|~precedes(X3,X4,X2)|on_path(X3,X2))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f74])).
% 0.14/0.38 fof(f76,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4]: (~path(X0,X1,X2)|~precedes(X3,X4,X2)|on_path(X4,X2))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f74])).
% 0.14/0.38 fof(f77,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4]: (~path(X0,X1,X2)|~precedes(X3,X4,X2)|sequential(X3,X4)|sequential(X3,sk0_4(X4,X3,X2)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f74])).
% 0.14/0.38 fof(f78,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4]: (~path(X0,X1,X2)|~precedes(X3,X4,X2)|sequential(X3,X4)|precedes(sk0_4(X4,X3,X2),X4,X2))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f74])).
% 0.14/0.38 fof(f79,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4,X5]: (~path(X0,X1,X2)|~precedes(X3,X4,X2)|~sequential(X3,X4)|~sequential(X3,X5)|~precedes(X5,X4,X2))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f74])).
% 0.14/0.38 fof(f80,plain,(
% 0.14/0.38 ![V1,V2,SP]: (shortest_path(V1,V2,SP)<=>((path(V1,V2,SP)&~V1=V2)&(![P]: (~path(V1,V2,P)|less_or_equal(length_of(SP),length_of(P))))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.14/0.38 fof(f81,plain,(
% 0.14/0.38 ![V1,V2,SP]: ((~shortest_path(V1,V2,SP)|((path(V1,V2,SP)&~V1=V2)&(![P]: (~path(V1,V2,P)|less_or_equal(length_of(SP),length_of(P))))))&(shortest_path(V1,V2,SP)|((~path(V1,V2,SP)|V1=V2)|(?[P]: (path(V1,V2,P)&~less_or_equal(length_of(SP),length_of(P)))))))),
% 0.14/0.38 inference(NNF_transformation,[status(esa)],[f80])).
% 0.14/0.38 fof(f82,plain,(
% 0.14/0.38 (![V1,V2,SP]: (~shortest_path(V1,V2,SP)|((path(V1,V2,SP)&~V1=V2)&(![P]: (~path(V1,V2,P)|less_or_equal(length_of(SP),length_of(P)))))))&(![V1,V2,SP]: (shortest_path(V1,V2,SP)|((~path(V1,V2,SP)|V1=V2)|(?[P]: (path(V1,V2,P)&~less_or_equal(length_of(SP),length_of(P)))))))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f81])).
% 0.14/0.38 fof(f83,plain,(
% 0.14/0.38 (![V1,V2,SP]: (~shortest_path(V1,V2,SP)|((path(V1,V2,SP)&~V1=V2)&(![P]: (~path(V1,V2,P)|less_or_equal(length_of(SP),length_of(P)))))))&(![V1,V2,SP]: (shortest_path(V1,V2,SP)|((~path(V1,V2,SP)|V1=V2)|(path(V1,V2,sk0_5(SP,V2,V1))&~less_or_equal(length_of(SP),length_of(sk0_5(SP,V2,V1)))))))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f82])).
% 0.14/0.38 fof(f84,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~shortest_path(X0,X1,X2)|path(X0,X1,X2))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f83])).
% 0.14/0.38 fof(f89,plain,(
% 0.14/0.38 ![V1,V2,E1,E2,P]: ((~shortest_path(V1,V2,P)|~precedes(E1,E2,P))|((![E3]: (~tail_of(E3)=tail_of(E1)|~head_of(E3)=head_of(E2)))&~precedes(E2,E1,P)))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.14/0.38 fof(f90,plain,(
% 0.14/0.38 ![E1,E2,P]: (((![V1,V2]: ~shortest_path(V1,V2,P))|~precedes(E1,E2,P))|((![E3]: (~tail_of(E3)=tail_of(E1)|~head_of(E3)=head_of(E2)))&~precedes(E2,E1,P)))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f89])).
% 0.14/0.38 fof(f91,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4,X5]: (~shortest_path(X0,X1,X2)|~precedes(X3,X4,X2)|~tail_of(X5)=tail_of(X3)|~head_of(X5)=head_of(X4))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f90])).
% 0.14/0.38 fof(f92,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4]: (~shortest_path(X0,X1,X2)|~precedes(X3,X4,X2)|~precedes(X4,X3,X2))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f90])).
% 0.14/0.38 fof(f116,plain,(
% 0.14/0.38 (complete&(?[V1,V2,E1,E2,P]: ((shortest_path(V1,V2,P)&precedes(E1,E2,P))&(![E3]: ((~edge(E3)|~tail_of(E3)=head_of(E2))|~head_of(E3)=tail_of(E1))))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.14/0.38 fof(f117,plain,(
% 0.14/0.38 complete&(?[E1,E2]: ((?[P]: ((?[V1,V2]: shortest_path(V1,V2,P))&precedes(E1,E2,P)))&(![E3]: ((~edge(E3)|~tail_of(E3)=head_of(E2))|~head_of(E3)=tail_of(E1)))))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f116])).
% 0.14/0.38 fof(f118,plain,(
% 0.14/0.38 complete&((shortest_path(sk0_11,sk0_12,sk0_10)&precedes(sk0_8,sk0_9,sk0_10))&(![E3]: ((~edge(E3)|~tail_of(E3)=head_of(sk0_9))|~head_of(E3)=tail_of(sk0_8))))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f117])).
% 0.14/0.38 fof(f119,plain,(
% 0.14/0.38 complete),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f118])).
% 0.14/0.38 fof(f120,plain,(
% 0.14/0.38 shortest_path(sk0_11,sk0_12,sk0_10)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f118])).
% 0.14/0.38 fof(f121,plain,(
% 0.14/0.38 precedes(sk0_8,sk0_9,sk0_10)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f118])).
% 0.14/0.38 fof(f122,plain,(
% 0.14/0.38 ![X0]: (~edge(X0)|~tail_of(X0)=head_of(sk0_9)|~head_of(X0)=tail_of(sk0_8))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f118])).
% 0.14/0.38 fof(f123,plain,(
% 0.14/0.38 ![V1,V2,E]: ((~pd0_0(E,V2,V1)|(V1=head_of(E)&V2=tail_of(E)))&(pd0_0(E,V2,V1)|(~V1=head_of(E)|~V2=tail_of(E))))),
% 0.14/0.38 inference(NNF_transformation,[status(esa)],[f26])).
% 0.14/0.38 fof(f124,plain,(
% 0.14/0.38 (![V1,V2,E]: (~pd0_0(E,V2,V1)|(V1=head_of(E)&V2=tail_of(E))))&(![V1,V2,E]: (pd0_0(E,V2,V1)|(~V1=head_of(E)|~V2=tail_of(E))))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f123])).
% 0.14/0.38 fof(f125,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|X2=head_of(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f124])).
% 0.14/0.38 fof(f126,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|X1=tail_of(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f124])).
% 0.14/0.38 fof(f133,plain,(
% 0.14/0.38 spl0_0 <=> complete),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f135,plain,(
% 0.14/0.38 ~complete|spl0_0),
% 0.14/0.38 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.38 fof(f136,plain,(
% 0.14/0.38 spl0_1 <=> ~vertex(X0)|~vertex(X1)|X0=X1|edge(sk0_0(X1,X0))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f137,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(X0)|~vertex(X1)|X0=X1|edge(sk0_0(X1,X0))|~spl0_1)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f136])).
% 0.14/0.38 fof(f139,plain,(
% 0.14/0.38 ~spl0_0|spl0_1),
% 0.14/0.38 inference(split_clause,[status(thm)],[f30,f133,f136])).
% 0.14/0.38 fof(f140,plain,(
% 0.14/0.38 spl0_2 <=> ~vertex(X0)|~vertex(X1)|X0=X1|pd0_0(sk0_0(X1,X0),X1,X0)|X1=head_of(sk0_0(X1,X0))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f141,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(X0)|~vertex(X1)|X0=X1|pd0_0(sk0_0(X1,X0),X1,X0)|X1=head_of(sk0_0(X1,X0))|~spl0_2)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f140])).
% 0.14/0.38 fof(f143,plain,(
% 0.14/0.38 ~spl0_0|spl0_2),
% 0.14/0.38 inference(split_clause,[status(thm)],[f31,f133,f140])).
% 0.14/0.38 fof(f144,plain,(
% 0.14/0.38 spl0_3 <=> ~vertex(X0)|~vertex(X1)|X0=X1|pd0_0(sk0_0(X1,X0),X1,X0)|X0=tail_of(sk0_0(X1,X0))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f145,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(X0)|~vertex(X1)|X0=X1|pd0_0(sk0_0(X1,X0),X1,X0)|X0=tail_of(sk0_0(X1,X0))|~spl0_3)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f144])).
% 0.14/0.38 fof(f147,plain,(
% 0.14/0.38 ~spl0_0|spl0_3),
% 0.14/0.38 inference(split_clause,[status(thm)],[f32,f133,f144])).
% 0.14/0.38 fof(f148,plain,(
% 0.14/0.38 spl0_4 <=> ~vertex(X0)|~vertex(X1)|X0=X1|~pd0_0(sk0_0(X1,X0),X1,X0)|~X1=head_of(sk0_0(X1,X0))|~X0=tail_of(sk0_0(X1,X0))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f149,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(X0)|~vertex(X1)|X0=X1|~pd0_0(sk0_0(X1,X0),X1,X0)|~X1=head_of(sk0_0(X1,X0))|~X0=tail_of(sk0_0(X1,X0))|~spl0_4)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f148])).
% 0.14/0.38 fof(f151,plain,(
% 0.14/0.38 ~spl0_0|spl0_4),
% 0.14/0.38 inference(split_clause,[status(thm)],[f33,f133,f148])).
% 0.14/0.38 fof(f158,plain,(
% 0.14/0.38 ![X0]: (~sequential(X0,sk0_8)|~edge(X0)|~tail_of(X0)=head_of(sk0_9))),
% 0.14/0.38 inference(resolution,[status(thm)],[f65,f122])).
% 0.14/0.38 fof(f159,plain,(
% 0.14/0.38 ![X0]: (~sequential(X0,sk0_8)|~tail_of(X0)=head_of(sk0_9))),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f158,f62])).
% 0.14/0.38 fof(f162,plain,(
% 0.14/0.38 path(sk0_11,sk0_12,sk0_10)),
% 0.14/0.38 inference(resolution,[status(thm)],[f84,f120])).
% 0.14/0.38 fof(f163,plain,(
% 0.14/0.38 ![X0]: (~sequential(X0,sk0_8)|~sequential(sk0_9,X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f159,f65])).
% 0.14/0.38 fof(f164,plain,(
% 0.14/0.38 ![X0,X1]: (~precedes(X0,X1,sk0_10)|~precedes(X1,X0,sk0_10))),
% 0.14/0.38 inference(resolution,[status(thm)],[f92,f120])).
% 0.14/0.38 fof(f165,plain,(
% 0.14/0.38 spl0_5 <=> ~path(X0,X1,sk0_10)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f166,plain,(
% 0.14/0.38 ![X0,X1]: (~path(X0,X1,sk0_10)|~spl0_5)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f165])).
% 0.14/0.38 fof(f171,plain,(
% 0.14/0.38 spl0_7 <=> sequential(sk0_8,sk0_8)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f181,plain,(
% 0.14/0.38 spl0_9 <=> ~precedes(X2,sk0_9,sk0_10)|~sequential(X2,sk0_9)|~sequential(X2,sk0_8)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f182,plain,(
% 0.14/0.38 ![X0]: (~precedes(X0,sk0_9,sk0_10)|~sequential(X0,sk0_9)|~sequential(X0,sk0_8)|~spl0_9)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f181])).
% 0.14/0.38 fof(f184,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~path(X0,X1,sk0_10)|~precedes(X2,sk0_9,sk0_10)|~sequential(X2,sk0_9)|~sequential(X2,sk0_8))),
% 0.14/0.38 inference(resolution,[status(thm)],[f79,f121])).
% 0.14/0.38 fof(f185,plain,(
% 0.14/0.38 spl0_5|spl0_9),
% 0.14/0.38 inference(split_clause,[status(thm)],[f184,f165,f181])).
% 0.14/0.38 fof(f193,plain,(
% 0.14/0.38 $false|~spl0_5),
% 0.14/0.38 inference(backward_subsumption_resolution,[status(thm)],[f162,f166])).
% 0.14/0.38 fof(f194,plain,(
% 0.14/0.38 ~spl0_5),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f193])).
% 0.14/0.38 fof(f197,plain,(
% 0.14/0.38 $false|spl0_0),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f135,f119])).
% 0.14/0.38 fof(f198,plain,(
% 0.14/0.38 spl0_0),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f197])).
% 0.14/0.38 fof(f199,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(X0)|~vertex(X1)|X0=X1|X1=head_of(sk0_0(X1,X0))|X1=tail_of(sk0_0(X1,X0))|~spl0_2)),
% 0.14/0.38 inference(resolution,[status(thm)],[f141,f126])).
% 0.14/0.38 fof(f200,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(X0)|~vertex(X1)|X0=X1|X1=head_of(sk0_0(X1,X0))|X0=head_of(sk0_0(X1,X0))|~spl0_2)),
% 0.14/0.38 inference(resolution,[status(thm)],[f141,f125])).
% 0.14/0.38 fof(f203,plain,(
% 0.14/0.38 spl0_10 <=> ~vertex(X0)|X0=head_of(sk0_9)|head_of(sk0_9)=head_of(sk0_0(head_of(sk0_9),X0))|~sequential(sk0_0(head_of(sk0_9),X0),sk0_8)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f204,plain,(
% 0.14/0.38 ![X0]: (~vertex(X0)|X0=head_of(sk0_9)|head_of(sk0_9)=head_of(sk0_0(head_of(sk0_9),X0))|~sequential(sk0_0(head_of(sk0_9),X0),sk0_8)|~spl0_10)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f203])).
% 0.14/0.38 fof(f206,plain,(
% 0.14/0.38 spl0_11 <=> vertex(head_of(sk0_9))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f208,plain,(
% 0.14/0.38 ~vertex(head_of(sk0_9))|spl0_11),
% 0.14/0.38 inference(component_clause,[status(thm)],[f206])).
% 0.14/0.38 fof(f209,plain,(
% 0.14/0.38 ![X0]: (~vertex(X0)|~vertex(head_of(sk0_9))|X0=head_of(sk0_9)|head_of(sk0_9)=head_of(sk0_0(head_of(sk0_9),X0))|~sequential(sk0_0(head_of(sk0_9),X0),sk0_8)|~spl0_2)),
% 0.14/0.38 inference(resolution,[status(thm)],[f199,f159])).
% 0.14/0.38 fof(f210,plain,(
% 0.14/0.38 spl0_10|~spl0_11|~spl0_2),
% 0.14/0.38 inference(split_clause,[status(thm)],[f209,f203,f206,f140])).
% 0.14/0.38 fof(f212,plain,(
% 0.14/0.38 spl0_12 <=> ~vertex(X0)|X0=tail_of(sk0_8)|X0=head_of(sk0_0(tail_of(sk0_8),X0))|~edge(sk0_0(tail_of(sk0_8),X0))|~tail_of(sk0_0(tail_of(sk0_8),X0))=head_of(sk0_9)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f213,plain,(
% 0.14/0.38 ![X0]: (~vertex(X0)|X0=tail_of(sk0_8)|X0=head_of(sk0_0(tail_of(sk0_8),X0))|~edge(sk0_0(tail_of(sk0_8),X0))|~tail_of(sk0_0(tail_of(sk0_8),X0))=head_of(sk0_9)|~spl0_12)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f212])).
% 0.14/0.38 fof(f215,plain,(
% 0.14/0.38 spl0_13 <=> vertex(tail_of(sk0_8))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f217,plain,(
% 0.14/0.38 ~vertex(tail_of(sk0_8))|spl0_13),
% 0.14/0.38 inference(component_clause,[status(thm)],[f215])).
% 0.14/0.38 fof(f218,plain,(
% 0.14/0.38 ![X0]: (~vertex(X0)|~vertex(tail_of(sk0_8))|X0=tail_of(sk0_8)|X0=head_of(sk0_0(tail_of(sk0_8),X0))|~edge(sk0_0(tail_of(sk0_8),X0))|~tail_of(sk0_0(tail_of(sk0_8),X0))=head_of(sk0_9)|~spl0_2)),
% 0.14/0.38 inference(resolution,[status(thm)],[f200,f122])).
% 0.14/0.38 fof(f219,plain,(
% 0.14/0.38 spl0_12|~spl0_13|~spl0_2),
% 0.14/0.38 inference(split_clause,[status(thm)],[f218,f212,f215,f140])).
% 0.14/0.38 fof(f220,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(X0)|~vertex(tail_of(X1))|X0=tail_of(X1)|X0=head_of(sk0_0(tail_of(X1),X0))|sequential(sk0_0(tail_of(X1),X0),X1)|~edge(sk0_0(tail_of(X1),X0))|~edge(X1)|sk0_0(tail_of(X1),X0)=X1|~spl0_2)),
% 0.14/0.38 inference(resolution,[status(thm)],[f200,f66])).
% 0.14/0.38 fof(f221,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(X0)|X0=tail_of(X1)|X0=head_of(sk0_0(tail_of(X1),X0))|sequential(sk0_0(tail_of(X1),X0),X1)|~edge(sk0_0(tail_of(X1),X0))|~edge(X1)|sk0_0(tail_of(X1),X0)=X1|~spl0_2)),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f220,f24])).
% 0.14/0.38 fof(f223,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(X0)|~vertex(X1)|X0=X1|X0=tail_of(sk0_0(X1,X0))|X1=tail_of(sk0_0(X1,X0))|~spl0_3)),
% 0.14/0.38 inference(resolution,[status(thm)],[f145,f126])).
% 0.14/0.38 fof(f224,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(X0)|~vertex(X1)|X0=X1|X0=tail_of(sk0_0(X1,X0))|X0=head_of(sk0_0(X1,X0))|~spl0_3)),
% 0.14/0.38 inference(resolution,[status(thm)],[f145,f125])).
% 0.14/0.38 fof(f225,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(X0)|~vertex(head_of(X1))|X0=head_of(X1)|X0=tail_of(sk0_0(head_of(X1),X0))|sequential(X1,sk0_0(head_of(X1),X0))|~edge(X1)|~edge(sk0_0(head_of(X1),X0))|X1=sk0_0(head_of(X1),X0)|~spl0_3)),
% 0.14/0.38 inference(resolution,[status(thm)],[f223,f66])).
% 0.14/0.38 fof(f226,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(X0)|X0=head_of(X1)|X0=tail_of(sk0_0(head_of(X1),X0))|sequential(X1,sk0_0(head_of(X1),X0))|~edge(X1)|~edge(sk0_0(head_of(X1),X0))|X1=sk0_0(head_of(X1),X0)|~spl0_3)),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f225,f23])).
% 0.14/0.38 fof(f227,plain,(
% 0.14/0.38 spl0_14 <=> ~vertex(X0)|X0=head_of(sk0_9)|X0=tail_of(sk0_0(head_of(sk0_9),X0))|~sequential(sk0_0(head_of(sk0_9),X0),sk0_8)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f230,plain,(
% 0.14/0.38 ![X0]: (~vertex(X0)|~vertex(head_of(sk0_9))|X0=head_of(sk0_9)|X0=tail_of(sk0_0(head_of(sk0_9),X0))|~sequential(sk0_0(head_of(sk0_9),X0),sk0_8)|~spl0_3)),
% 0.14/0.38 inference(resolution,[status(thm)],[f223,f159])).
% 0.14/0.38 fof(f231,plain,(
% 0.14/0.38 spl0_14|~spl0_11|~spl0_3),
% 0.14/0.38 inference(split_clause,[status(thm)],[f230,f227,f206,f144])).
% 0.14/0.38 fof(f234,plain,(
% 0.14/0.38 spl0_15 <=> ~vertex(X0)|head_of(sk0_9)=X0|head_of(sk0_9)=head_of(sk0_0(X0,head_of(sk0_9)))|~sequential(sk0_0(X0,head_of(sk0_9)),sk0_8)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f237,plain,(
% 0.14/0.38 ![X0]: (~vertex(head_of(sk0_9))|~vertex(X0)|head_of(sk0_9)=X0|head_of(sk0_9)=head_of(sk0_0(X0,head_of(sk0_9)))|~sequential(sk0_0(X0,head_of(sk0_9)),sk0_8)|~spl0_3)),
% 0.14/0.38 inference(resolution,[status(thm)],[f224,f159])).
% 0.14/0.38 fof(f238,plain,(
% 0.14/0.38 ~spl0_11|spl0_15|~spl0_3),
% 0.14/0.38 inference(split_clause,[status(thm)],[f237,f206,f234,f144])).
% 0.14/0.38 fof(f239,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(head_of(X0))|~vertex(X1)|head_of(X0)=X1|~pd0_0(sk0_0(X1,head_of(X0)),X1,head_of(X0))|~X1=head_of(sk0_0(X1,head_of(X0)))|~sequential(X0,sk0_0(X1,head_of(X0)))|~spl0_4)),
% 0.14/0.38 inference(resolution,[status(thm)],[f149,f65])).
% 0.14/0.38 fof(f248,plain,(
% 0.14/0.38 spl0_16 <=> tail_of(sk0_8)=tail_of(X0)|sequential(sk0_0(tail_of(X0),tail_of(sk0_8)),X0)|~edge(sk0_0(tail_of(X0),tail_of(sk0_8)))|~edge(X0)|sk0_0(tail_of(X0),tail_of(sk0_8))=X0|~edge(sk0_0(tail_of(X0),tail_of(sk0_8)))|~tail_of(sk0_0(tail_of(X0),tail_of(sk0_8)))=head_of(sk0_9)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f251,plain,(
% 0.14/0.38 ![X0]: (~vertex(tail_of(sk0_8))|tail_of(sk0_8)=tail_of(X0)|sequential(sk0_0(tail_of(X0),tail_of(sk0_8)),X0)|~edge(sk0_0(tail_of(X0),tail_of(sk0_8)))|~edge(X0)|sk0_0(tail_of(X0),tail_of(sk0_8))=X0|~edge(sk0_0(tail_of(X0),tail_of(sk0_8)))|~tail_of(sk0_0(tail_of(X0),tail_of(sk0_8)))=head_of(sk0_9)|~spl0_2)),
% 0.14/0.38 inference(resolution,[status(thm)],[f221,f122])).
% 0.14/0.38 fof(f252,plain,(
% 0.14/0.38 ~spl0_13|spl0_16|~spl0_2),
% 0.14/0.38 inference(split_clause,[status(thm)],[f251,f215,f248,f140])).
% 0.14/0.38 fof(f253,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(tail_of(X0))|tail_of(X0)=tail_of(X1)|sequential(sk0_0(tail_of(X1),tail_of(X0)),X1)|~edge(sk0_0(tail_of(X1),tail_of(X0)))|~edge(X1)|sk0_0(tail_of(X1),tail_of(X0))=X1|sequential(sk0_0(tail_of(X1),tail_of(X0)),X0)|~edge(sk0_0(tail_of(X1),tail_of(X0)))|~edge(X0)|sk0_0(tail_of(X1),tail_of(X0))=X0|~spl0_2)),
% 0.14/0.38 inference(resolution,[status(thm)],[f221,f66])).
% 0.14/0.38 fof(f254,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(tail_of(X0))|tail_of(X0)=tail_of(X1)|sequential(sk0_0(tail_of(X1),tail_of(X0)),X1)|~edge(sk0_0(tail_of(X1),tail_of(X0)))|~edge(X1)|sk0_0(tail_of(X1),tail_of(X0))=X1|sequential(sk0_0(tail_of(X1),tail_of(X0)),X0)|~edge(X0)|sk0_0(tail_of(X1),tail_of(X0))=X0|~spl0_2)),
% 0.14/0.38 inference(duplicate_literals_removal,[status(esa)],[f253])).
% 0.14/0.38 fof(f255,plain,(
% 0.14/0.38 ![X0,X1]: (tail_of(X0)=tail_of(X1)|sequential(sk0_0(tail_of(X1),tail_of(X0)),X1)|~edge(sk0_0(tail_of(X1),tail_of(X0)))|~edge(X1)|sk0_0(tail_of(X1),tail_of(X0))=X1|sequential(sk0_0(tail_of(X1),tail_of(X0)),X0)|~edge(X0)|sk0_0(tail_of(X1),tail_of(X0))=X0|~spl0_2)),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f254,f24])).
% 0.14/0.38 fof(f256,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(head_of(X0))|head_of(X0)=head_of(X1)|sequential(X1,sk0_0(head_of(X1),head_of(X0)))|~edge(X1)|~edge(sk0_0(head_of(X1),head_of(X0)))|X1=sk0_0(head_of(X1),head_of(X0))|sequential(X0,sk0_0(head_of(X1),head_of(X0)))|~edge(X0)|~edge(sk0_0(head_of(X1),head_of(X0)))|X0=sk0_0(head_of(X1),head_of(X0))|~spl0_3)),
% 0.14/0.38 inference(resolution,[status(thm)],[f226,f66])).
% 0.14/0.38 fof(f257,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(head_of(X0))|head_of(X0)=head_of(X1)|sequential(X1,sk0_0(head_of(X1),head_of(X0)))|~edge(X1)|~edge(sk0_0(head_of(X1),head_of(X0)))|X1=sk0_0(head_of(X1),head_of(X0))|sequential(X0,sk0_0(head_of(X1),head_of(X0)))|~edge(X0)|X0=sk0_0(head_of(X1),head_of(X0))|~spl0_3)),
% 0.14/0.38 inference(duplicate_literals_removal,[status(esa)],[f256])).
% 0.14/0.38 fof(f258,plain,(
% 0.14/0.38 ![X0,X1]: (head_of(X0)=head_of(X1)|sequential(X1,sk0_0(head_of(X1),head_of(X0)))|~edge(X1)|~edge(sk0_0(head_of(X1),head_of(X0)))|X1=sk0_0(head_of(X1),head_of(X0))|sequential(X0,sk0_0(head_of(X1),head_of(X0)))|~edge(X0)|X0=sk0_0(head_of(X1),head_of(X0))|~spl0_3)),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f257,f23])).
% 0.14/0.38 fof(f259,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(X0)|X0=head_of(X1)|sequential(X1,sk0_0(head_of(X1),X0))|~edge(X1)|~edge(sk0_0(head_of(X1),X0))|X1=sk0_0(head_of(X1),X0)|~vertex(X0)|~vertex(head_of(X1))|X0=head_of(X1)|~pd0_0(sk0_0(head_of(X1),X0),head_of(X1),X0)|~head_of(X1)=head_of(sk0_0(head_of(X1),X0))|~spl0_3|~spl0_4)),
% 0.14/0.38 inference(resolution,[status(thm)],[f226,f149])).
% 0.14/0.38 fof(f260,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(X0)|X0=head_of(X1)|sequential(X1,sk0_0(head_of(X1),X0))|~edge(X1)|~edge(sk0_0(head_of(X1),X0))|X1=sk0_0(head_of(X1),X0)|~vertex(head_of(X1))|~pd0_0(sk0_0(head_of(X1),X0),head_of(X1),X0)|~head_of(X1)=head_of(sk0_0(head_of(X1),X0))|~spl0_3|~spl0_4)),
% 0.14/0.38 inference(duplicate_literals_removal,[status(esa)],[f259])).
% 0.14/0.38 fof(f261,plain,(
% 0.14/0.38 ![X0,X1]: (~vertex(X0)|X0=head_of(X1)|sequential(X1,sk0_0(head_of(X1),X0))|~edge(X1)|X1=sk0_0(head_of(X1),X0)|~vertex(head_of(X1))|~pd0_0(sk0_0(head_of(X1),X0),head_of(X1),X0)|~head_of(X1)=head_of(sk0_0(head_of(X1),X0))|~spl0_1|~spl0_3|~spl0_4)),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f260,f137])).
% 0.14/0.38 fof(f262,plain,(
% 0.14/0.38 spl0_17 <=> head_of(sk0_9)=head_of(X0)|sequential(X0,sk0_0(head_of(X0),head_of(sk0_9)))|~edge(X0)|~edge(sk0_0(head_of(X0),head_of(sk0_9)))|X0=sk0_0(head_of(X0),head_of(sk0_9))|~sequential(sk0_0(head_of(X0),head_of(sk0_9)),sk0_8)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f265,plain,(
% 0.14/0.38 ![X0]: (~vertex(head_of(sk0_9))|head_of(sk0_9)=head_of(X0)|sequential(X0,sk0_0(head_of(X0),head_of(sk0_9)))|~edge(X0)|~edge(sk0_0(head_of(X0),head_of(sk0_9)))|X0=sk0_0(head_of(X0),head_of(sk0_9))|~sequential(sk0_0(head_of(X0),head_of(sk0_9)),sk0_8)|~spl0_3)),
% 0.14/0.39 inference(resolution,[status(thm)],[f226,f159])).
% 0.14/0.39 fof(f266,plain,(
% 0.14/0.39 ~spl0_11|spl0_17|~spl0_3),
% 0.14/0.39 inference(split_clause,[status(thm)],[f265,f206,f262,f144])).
% 0.14/0.39 fof(f271,plain,(
% 0.14/0.39 ![X0,X1]: (~vertex(X0)|X0=head_of(X1)|sequential(X1,sk0_0(head_of(X1),X0))|~edge(X1)|X1=sk0_0(head_of(X1),X0)|~pd0_0(sk0_0(head_of(X1),X0),head_of(X1),X0)|~head_of(X1)=head_of(sk0_0(head_of(X1),X0))|~spl0_1|~spl0_3|~spl0_4)),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f261,f23])).
% 0.14/0.39 fof(f280,plain,(
% 0.14/0.39 spl0_18 <=> head_of(X0)=head_of(sk0_9)|~edge(sk0_0(head_of(sk0_9),head_of(X0)))|sk0_9=sk0_0(head_of(sk0_9),head_of(X0))|sequential(X0,sk0_0(head_of(sk0_9),head_of(X0)))|~edge(X0)|X0=sk0_0(head_of(sk0_9),head_of(X0))|~sequential(sk0_0(head_of(sk0_9),head_of(X0)),sk0_8)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f283,plain,(
% 0.14/0.39 spl0_19 <=> edge(sk0_9)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f285,plain,(
% 0.14/0.39 ~edge(sk0_9)|spl0_19),
% 0.14/0.39 inference(component_clause,[status(thm)],[f283])).
% 0.14/0.39 fof(f286,plain,(
% 0.14/0.39 ![X0]: (head_of(X0)=head_of(sk0_9)|~edge(sk0_9)|~edge(sk0_0(head_of(sk0_9),head_of(X0)))|sk0_9=sk0_0(head_of(sk0_9),head_of(X0))|sequential(X0,sk0_0(head_of(sk0_9),head_of(X0)))|~edge(X0)|X0=sk0_0(head_of(sk0_9),head_of(X0))|~sequential(sk0_0(head_of(sk0_9),head_of(X0)),sk0_8)|~spl0_3)),
% 0.14/0.39 inference(resolution,[status(thm)],[f258,f163])).
% 0.14/0.39 fof(f287,plain,(
% 0.14/0.39 spl0_18|~spl0_19|~spl0_3),
% 0.14/0.39 inference(split_clause,[status(thm)],[f286,f280,f283,f144])).
% 0.14/0.39 fof(f290,plain,(
% 0.14/0.39 ~precedes(sk0_9,sk0_8,sk0_10)),
% 0.14/0.39 inference(resolution,[status(thm)],[f164,f121])).
% 0.14/0.39 fof(f292,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5]: (~shortest_path(X0,X1,X2)|~precedes(sk0_0(X3,tail_of(X4)),X5,X2)|~head_of(X4)=head_of(X5)|~vertex(tail_of(X4))|~vertex(X3)|tail_of(X4)=X3|tail_of(X4)=head_of(sk0_0(X3,tail_of(X4)))|~spl0_3)),
% 0.14/0.39 inference(resolution,[status(thm)],[f91,f224])).
% 0.14/0.39 fof(f293,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5]: (~shortest_path(X0,X1,X2)|~precedes(sk0_0(tail_of(X3),X4),X5,X2)|~head_of(X3)=head_of(X5)|~vertex(X4)|~vertex(tail_of(X3))|X4=tail_of(X3)|X4=tail_of(sk0_0(tail_of(X3),X4))|~spl0_3)),
% 0.14/0.39 inference(resolution,[status(thm)],[f91,f223])).
% 0.14/0.39 fof(f294,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5]: (~shortest_path(X0,X1,X2)|~precedes(sk0_0(tail_of(X3),X4),X5,X2)|~head_of(X3)=head_of(X5)|~vertex(X4)|~vertex(tail_of(X3))|X4=tail_of(X3)|tail_of(X3)=head_of(sk0_0(tail_of(X3),X4))|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f91,f199])).
% 0.14/0.39 fof(f296,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5]: (~shortest_path(X0,X1,X2)|~precedes(X3,X4,X2)|~head_of(sk0_0(X5,tail_of(X3)))=head_of(X4)|~vertex(tail_of(X3))|~vertex(X5)|tail_of(X3)=X5|tail_of(X3)=head_of(sk0_0(X5,tail_of(X3)))|~spl0_3)),
% 0.14/0.39 inference(resolution,[status(thm)],[f91,f224])).
% 0.14/0.39 fof(f297,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5]: (~shortest_path(X0,X1,X2)|~precedes(X3,X4,X2)|~head_of(sk0_0(tail_of(X3),X5))=head_of(X4)|~vertex(X5)|~vertex(tail_of(X3))|X5=tail_of(X3)|X5=tail_of(sk0_0(tail_of(X3),X5))|~spl0_3)),
% 0.14/0.39 inference(resolution,[status(thm)],[f91,f223])).
% 0.14/0.39 fof(f298,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5]: (~shortest_path(X0,X1,X2)|~precedes(X3,X4,X2)|~head_of(sk0_0(tail_of(X3),X5))=head_of(X4)|~vertex(X5)|~vertex(tail_of(X3))|X5=tail_of(X3)|tail_of(X3)=head_of(sk0_0(tail_of(X3),X5))|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f91,f199])).
% 0.14/0.39 fof(f299,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~shortest_path(X0,X1,X2)|~precedes(X3,X4,X2)|~head_of(X3)=head_of(X4))),
% 0.14/0.39 inference(equality_resolution,[status(esa)],[f91])).
% 0.14/0.39 fof(f306,plain,(
% 0.14/0.39 spl0_20 <=> ~shortest_path(X0,X1,X2)|~precedes(sk0_0(tail_of(X3),head_of(sk0_9)),X4,X2)|~head_of(X3)=head_of(X4)|~vertex(tail_of(X3))|head_of(sk0_9)=tail_of(X3)|~sequential(sk0_0(tail_of(X3),head_of(sk0_9)),sk0_8)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f309,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~shortest_path(X0,X1,X2)|~precedes(sk0_0(tail_of(X3),head_of(sk0_9)),X4,X2)|~head_of(X3)=head_of(X4)|~vertex(head_of(sk0_9))|~vertex(tail_of(X3))|head_of(sk0_9)=tail_of(X3)|~sequential(sk0_0(tail_of(X3),head_of(sk0_9)),sk0_8)|~spl0_3)),
% 0.14/0.39 inference(resolution,[status(thm)],[f293,f159])).
% 0.14/0.39 fof(f310,plain,(
% 0.14/0.39 spl0_20|~spl0_11|~spl0_3),
% 0.14/0.39 inference(split_clause,[status(thm)],[f309,f306,f206,f144])).
% 0.14/0.39 fof(f324,plain,(
% 0.14/0.39 spl0_21 <=> ~shortest_path(X0,X1,X2)|~precedes(sk0_0(X3,tail_of(sk0_8)),X4,X2)|~head_of(sk0_8)=head_of(X4)|~vertex(X3)|tail_of(sk0_8)=X3|~edge(sk0_0(X3,tail_of(sk0_8)))|~tail_of(sk0_0(X3,tail_of(sk0_8)))=head_of(sk0_9)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f327,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~shortest_path(X0,X1,X2)|~precedes(sk0_0(X3,tail_of(sk0_8)),X4,X2)|~head_of(sk0_8)=head_of(X4)|~vertex(tail_of(sk0_8))|~vertex(X3)|tail_of(sk0_8)=X3|~edge(sk0_0(X3,tail_of(sk0_8)))|~tail_of(sk0_0(X3,tail_of(sk0_8)))=head_of(sk0_9)|~spl0_3)),
% 0.14/0.39 inference(resolution,[status(thm)],[f292,f122])).
% 0.14/0.39 fof(f328,plain,(
% 0.14/0.39 spl0_21|~spl0_13|~spl0_3),
% 0.14/0.39 inference(split_clause,[status(thm)],[f327,f324,f215,f144])).
% 0.14/0.39 fof(f333,plain,(
% 0.14/0.39 spl0_22 <=> ~shortest_path(X0,X1,X2)|~precedes(sk0_0(tail_of(sk0_8),X3),X4,X2)|~head_of(sk0_8)=head_of(X4)|~vertex(X3)|X3=tail_of(sk0_8)|~edge(sk0_0(tail_of(sk0_8),X3))|~tail_of(sk0_0(tail_of(sk0_8),X3))=head_of(sk0_9)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f336,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~shortest_path(X0,X1,X2)|~precedes(sk0_0(tail_of(sk0_8),X3),X4,X2)|~head_of(sk0_8)=head_of(X4)|~vertex(X3)|~vertex(tail_of(sk0_8))|X3=tail_of(sk0_8)|~edge(sk0_0(tail_of(sk0_8),X3))|~tail_of(sk0_0(tail_of(sk0_8),X3))=head_of(sk0_9)|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f294,f122])).
% 0.14/0.39 fof(f337,plain,(
% 0.14/0.39 spl0_22|~spl0_13|~spl0_2),
% 0.14/0.39 inference(split_clause,[status(thm)],[f336,f333,f215,f140])).
% 0.14/0.39 fof(f340,plain,(
% 0.14/0.39 spl0_23 <=> ~shortest_path(X0,X1,X2)|~precedes(sk0_8,X3,X2)|~head_of(sk0_0(X4,tail_of(sk0_8)))=head_of(X3)|~vertex(X4)|tail_of(sk0_8)=X4|~edge(sk0_0(X4,tail_of(sk0_8)))|~tail_of(sk0_0(X4,tail_of(sk0_8)))=head_of(sk0_9)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f343,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~shortest_path(X0,X1,X2)|~precedes(sk0_8,X3,X2)|~head_of(sk0_0(X4,tail_of(sk0_8)))=head_of(X3)|~vertex(tail_of(sk0_8))|~vertex(X4)|tail_of(sk0_8)=X4|~edge(sk0_0(X4,tail_of(sk0_8)))|~tail_of(sk0_0(X4,tail_of(sk0_8)))=head_of(sk0_9)|~spl0_3)),
% 0.14/0.39 inference(resolution,[status(thm)],[f296,f122])).
% 0.14/0.39 fof(f344,plain,(
% 0.14/0.39 spl0_23|~spl0_13|~spl0_3),
% 0.14/0.39 inference(split_clause,[status(thm)],[f343,f340,f215,f144])).
% 0.14/0.39 fof(f350,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~shortest_path(X0,X1,X2)|~precedes(X3,sk0_0(head_of(X3),X4),X2)|~vertex(X4)|~vertex(head_of(X3))|X4=head_of(X3)|X4=head_of(sk0_0(head_of(X3),X4))|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f299,f200])).
% 0.14/0.39 fof(f354,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~shortest_path(X0,X1,X2)|~precedes(sk0_0(head_of(X3),X4),X3,X2)|~vertex(X4)|~vertex(head_of(X3))|X4=head_of(X3)|X4=head_of(sk0_0(head_of(X3),X4))|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f299,f200])).
% 0.14/0.39 fof(f357,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5,X6]: (~path(tail_of(X0),X1,X2)|~shortest_path(X3,X4,X5)|~precedes(sk0_1(X2,X1,tail_of(X0)),X6,X5)|~head_of(X0)=head_of(X6))),
% 0.14/0.39 inference(resolution,[status(thm)],[f45,f91])).
% 0.14/0.39 fof(f358,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~path(head_of(X0),X1,X2)|sequential(X0,sk0_1(X2,X1,head_of(X0)))|~edge(X0)|~edge(sk0_1(X2,X1,head_of(X0)))|X0=sk0_1(X2,X1,head_of(X0)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f45,f66])).
% 0.14/0.39 fof(f359,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~path(head_of(X0),X1,X2)|sequential(X0,sk0_1(X2,X1,head_of(X0)))|~edge(X0)|X0=sk0_1(X2,X1,head_of(X0)))),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f358,f44])).
% 0.14/0.39 fof(f360,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5,X6]: (~path(tail_of(X0),X1,X2)|~shortest_path(X3,X4,X5)|~precedes(X0,X6,X5)|~head_of(sk0_1(X2,X1,tail_of(X0)))=head_of(X6))),
% 0.14/0.39 inference(resolution,[status(thm)],[f45,f91])).
% 0.14/0.39 fof(f362,plain,(
% 0.14/0.39 spl0_24 <=> ~path(head_of(sk0_9),X0,X1)|sk0_9=sk0_1(X1,X0,head_of(sk0_9))|~sequential(sk0_1(X1,X0,head_of(sk0_9)),sk0_8)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f365,plain,(
% 0.14/0.39 ![X0,X1]: (~path(head_of(sk0_9),X0,X1)|~edge(sk0_9)|sk0_9=sk0_1(X1,X0,head_of(sk0_9))|~sequential(sk0_1(X1,X0,head_of(sk0_9)),sk0_8))),
% 0.14/0.39 inference(resolution,[status(thm)],[f359,f163])).
% 0.14/0.39 fof(f366,plain,(
% 0.14/0.39 spl0_24|~spl0_19),
% 0.14/0.39 inference(split_clause,[status(thm)],[f365,f362,f283])).
% 0.14/0.39 fof(f371,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5,X6]: (~path(tail_of(X0),X1,X2)|~shortest_path(X3,X4,X5)|~precedes(sk0_1(X2,X1,tail_of(X0)),sk0_0(head_of(X0),X6),X5)|~vertex(X6)|~vertex(head_of(X0))|X6=head_of(X0)|X6=head_of(sk0_0(head_of(X0),X6))|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f357,f200])).
% 0.14/0.39 fof(f375,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5,X6]: (~path(tail_of(sk0_0(head_of(X0),X1)),X2,X3)|~shortest_path(X4,X5,X6)|~precedes(sk0_1(X3,X2,tail_of(sk0_0(head_of(X0),X1))),X0,X6)|~vertex(X1)|~vertex(head_of(X0))|X1=head_of(X0)|X1=head_of(sk0_0(head_of(X0),X1))|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f357,f200])).
% 0.14/0.39 fof(f376,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5]: (~path(tail_of(X0),X1,X2)|~shortest_path(X3,X4,X5)|~precedes(sk0_1(X2,X1,tail_of(X0)),X0,X5))),
% 0.14/0.39 inference(equality_resolution,[status(esa)],[f357])).
% 0.14/0.39 fof(f382,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5,X6]: (~path(tail_of(X0),X1,X2)|~shortest_path(X3,X4,X5)|~precedes(X0,sk0_0(head_of(sk0_1(X2,X1,tail_of(X0))),X6),X5)|~vertex(X6)|~vertex(head_of(sk0_1(X2,X1,tail_of(X0))))|X6=head_of(sk0_1(X2,X1,tail_of(X0)))|X6=head_of(sk0_0(head_of(sk0_1(X2,X1,tail_of(X0))),X6))|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f360,f200])).
% 0.14/0.39 fof(f383,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5]: (~path(tail_of(X0),X1,X2)|~shortest_path(X3,X4,X5)|~precedes(X0,sk0_1(X2,X1,tail_of(X0)),X5))),
% 0.14/0.39 inference(equality_resolution,[status(esa)],[f360])).
% 0.14/0.39 fof(f384,plain,(
% 0.14/0.39 ![X0]: (~on_path(X0,sk0_10)|edge(X0))),
% 0.14/0.39 inference(resolution,[status(thm)],[f51,f162])).
% 0.14/0.39 fof(f389,plain,(
% 0.14/0.39 ![X0]: (~in_path(X0,sk0_10)|vertex(X0))),
% 0.14/0.39 inference(resolution,[status(thm)],[f57,f162])).
% 0.14/0.39 fof(f394,plain,(
% 0.14/0.39 spl0_25 <=> on_path(sk0_8,sk0_10)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f395,plain,(
% 0.14/0.39 on_path(sk0_8,sk0_10)|~spl0_25),
% 0.14/0.39 inference(component_clause,[status(thm)],[f394])).
% 0.14/0.39 fof(f397,plain,(
% 0.14/0.39 ![X0,X1]: (~path(X0,X1,sk0_10)|on_path(sk0_8,sk0_10))),
% 0.14/0.39 inference(resolution,[status(thm)],[f75,f121])).
% 0.14/0.39 fof(f398,plain,(
% 0.14/0.39 spl0_5|spl0_25),
% 0.14/0.39 inference(split_clause,[status(thm)],[f397,f165,f394])).
% 0.14/0.39 fof(f399,plain,(
% 0.14/0.39 spl0_26 <=> on_path(sk0_9,sk0_10)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f400,plain,(
% 0.14/0.39 on_path(sk0_9,sk0_10)|~spl0_26),
% 0.14/0.39 inference(component_clause,[status(thm)],[f399])).
% 0.14/0.39 fof(f402,plain,(
% 0.14/0.39 ![X0,X1]: (~path(X0,X1,sk0_10)|on_path(sk0_9,sk0_10))),
% 0.14/0.39 inference(resolution,[status(thm)],[f76,f121])).
% 0.14/0.39 fof(f403,plain,(
% 0.14/0.39 spl0_5|spl0_26),
% 0.14/0.39 inference(split_clause,[status(thm)],[f402,f165,f399])).
% 0.14/0.39 fof(f404,plain,(
% 0.14/0.39 ![X0]: (~on_path(X0,sk0_10)|in_path(head_of(X0),sk0_10))),
% 0.14/0.39 inference(resolution,[status(thm)],[f52,f162])).
% 0.14/0.39 fof(f409,plain,(
% 0.14/0.39 ![X0]: (~on_path(X0,sk0_10)|vertex(head_of(X0)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f404,f389])).
% 0.14/0.39 fof(f410,plain,(
% 0.14/0.39 ![X0]: (~on_path(X0,sk0_10)|in_path(tail_of(X0),sk0_10))),
% 0.14/0.39 inference(resolution,[status(thm)],[f53,f162])).
% 0.14/0.39 fof(f415,plain,(
% 0.14/0.39 ![X0]: (~on_path(X0,sk0_10)|vertex(tail_of(X0)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f410,f389])).
% 0.14/0.39 fof(f418,plain,(
% 0.14/0.39 spl0_27 <=> ~in_path(X2,sk0_10)|vertex(tail_of(sk0_3(X2,sk0_10)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f421,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~path(X0,X1,sk0_10)|~in_path(X2,sk0_10)|vertex(tail_of(sk0_3(X2,sk0_10))))),
% 0.14/0.39 inference(resolution,[status(thm)],[f58,f415])).
% 0.14/0.39 fof(f422,plain,(
% 0.14/0.39 spl0_5|spl0_27),
% 0.14/0.39 inference(split_clause,[status(thm)],[f421,f165,f418])).
% 0.14/0.39 fof(f423,plain,(
% 0.14/0.39 spl0_28 <=> ~in_path(X2,sk0_10)|vertex(head_of(sk0_3(X2,sk0_10)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f426,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~path(X0,X1,sk0_10)|~in_path(X2,sk0_10)|vertex(head_of(sk0_3(X2,sk0_10))))),
% 0.14/0.39 inference(resolution,[status(thm)],[f58,f409])).
% 0.14/0.39 fof(f427,plain,(
% 0.14/0.39 spl0_5|spl0_28),
% 0.14/0.39 inference(split_clause,[status(thm)],[f426,f165,f423])).
% 0.14/0.39 fof(f428,plain,(
% 0.14/0.39 spl0_29 <=> ~in_path(X2,sk0_10)|edge(sk0_3(X2,sk0_10))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f431,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~path(X0,X1,sk0_10)|~in_path(X2,sk0_10)|edge(sk0_3(X2,sk0_10)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f58,f384])).
% 0.14/0.39 fof(f432,plain,(
% 0.14/0.39 spl0_5|spl0_29),
% 0.14/0.39 inference(split_clause,[status(thm)],[f431,f165,f428])).
% 0.14/0.39 fof(f439,plain,(
% 0.14/0.39 vertex(tail_of(sk0_8))|~spl0_25),
% 0.14/0.39 inference(resolution,[status(thm)],[f395,f415])).
% 0.14/0.39 fof(f440,plain,(
% 0.14/0.39 $false|spl0_13|~spl0_25),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f439,f217])).
% 0.14/0.39 fof(f441,plain,(
% 0.14/0.39 spl0_13|~spl0_25),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f440])).
% 0.14/0.39 fof(f442,plain,(
% 0.14/0.39 vertex(head_of(sk0_8))|~spl0_25),
% 0.14/0.39 inference(resolution,[status(thm)],[f395,f409])).
% 0.14/0.39 fof(f443,plain,(
% 0.14/0.39 edge(sk0_8)|~spl0_25),
% 0.14/0.39 inference(resolution,[status(thm)],[f395,f384])).
% 0.14/0.39 fof(f446,plain,(
% 0.14/0.39 vertex(head_of(sk0_9))|~spl0_26),
% 0.14/0.39 inference(resolution,[status(thm)],[f400,f409])).
% 0.14/0.39 fof(f447,plain,(
% 0.14/0.39 $false|spl0_11|~spl0_26),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f446,f208])).
% 0.14/0.39 fof(f448,plain,(
% 0.14/0.39 spl0_11|~spl0_26),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f447])).
% 0.14/0.39 fof(f449,plain,(
% 0.14/0.39 edge(sk0_9)|~spl0_26),
% 0.14/0.39 inference(resolution,[status(thm)],[f400,f384])).
% 0.14/0.39 fof(f451,plain,(
% 0.14/0.39 $false|~spl0_26|spl0_19),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f285,f449])).
% 0.14/0.39 fof(f452,plain,(
% 0.14/0.39 ~spl0_26|spl0_19),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f451])).
% 0.14/0.39 fof(f456,plain,(
% 0.14/0.39 spl0_30 <=> head_of(sk0_9)=tail_of(sk0_8)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f457,plain,(
% 0.14/0.39 head_of(sk0_9)=tail_of(sk0_8)|~spl0_30),
% 0.14/0.39 inference(component_clause,[status(thm)],[f456])).
% 0.14/0.39 fof(f459,plain,(
% 0.14/0.39 spl0_31 <=> head_of(sk0_9)=head_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f460,plain,(
% 0.14/0.39 head_of(sk0_9)=head_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))|~spl0_31),
% 0.14/0.39 inference(component_clause,[status(thm)],[f459])).
% 0.14/0.39 fof(f462,plain,(
% 0.14/0.39 spl0_32 <=> edge(sk0_0(tail_of(sk0_8),head_of(sk0_9)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f464,plain,(
% 0.14/0.39 ~edge(sk0_0(tail_of(sk0_8),head_of(sk0_9)))|spl0_32),
% 0.14/0.39 inference(component_clause,[status(thm)],[f462])).
% 0.14/0.39 fof(f470,plain,(
% 0.14/0.39 ~vertex(head_of(sk0_9))|head_of(sk0_9)=tail_of(sk0_8)|head_of(sk0_9)=head_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))|~edge(sk0_0(tail_of(sk0_8),head_of(sk0_9)))|~vertex(head_of(sk0_9))|~vertex(tail_of(sk0_8))|head_of(sk0_9)=tail_of(sk0_8)|head_of(sk0_9)=head_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))|~spl0_12|~spl0_3),
% 0.14/0.39 inference(resolution,[status(thm)],[f213,f224])).
% 0.14/0.39 fof(f471,plain,(
% 0.14/0.39 ~spl0_11|spl0_30|spl0_31|~spl0_32|~spl0_13|~spl0_12|~spl0_3),
% 0.14/0.39 inference(split_clause,[status(thm)],[f470,f206,f456,f459,f462,f215,f212,f144])).
% 0.14/0.39 fof(f472,plain,(
% 0.14/0.39 ~vertex(head_of(sk0_9))|~vertex(tail_of(sk0_8))|head_of(sk0_9)=tail_of(sk0_8)|spl0_32|~spl0_1),
% 0.14/0.39 inference(resolution,[status(thm)],[f464,f137])).
% 0.14/0.39 fof(f473,plain,(
% 0.14/0.39 ~spl0_11|~spl0_13|spl0_30|spl0_32|~spl0_1),
% 0.14/0.39 inference(split_clause,[status(thm)],[f472,f206,f215,f456,f462,f136])).
% 0.14/0.39 fof(f479,plain,(
% 0.14/0.39 spl0_34 <=> sequential(sk0_9,sk0_8)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f482,plain,(
% 0.14/0.39 spl0_35 <=> edge(sk0_8)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f484,plain,(
% 0.14/0.39 ~edge(sk0_8)|spl0_35),
% 0.14/0.39 inference(component_clause,[status(thm)],[f482])).
% 0.14/0.39 fof(f485,plain,(
% 0.14/0.39 spl0_36 <=> sk0_9=sk0_8),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f486,plain,(
% 0.14/0.39 sk0_9=sk0_8|~spl0_36),
% 0.14/0.39 inference(component_clause,[status(thm)],[f485])).
% 0.14/0.39 fof(f488,plain,(
% 0.14/0.39 sequential(sk0_9,sk0_8)|~edge(sk0_9)|~edge(sk0_8)|sk0_9=sk0_8|~spl0_30),
% 0.14/0.39 inference(resolution,[status(thm)],[f457,f66])).
% 0.14/0.39 fof(f489,plain,(
% 0.14/0.39 spl0_34|~spl0_19|~spl0_35|spl0_36|~spl0_30),
% 0.14/0.39 inference(split_clause,[status(thm)],[f488,f479,f283,f482,f485,f456])).
% 0.14/0.39 fof(f562,plain,(
% 0.14/0.39 spl0_50 <=> vertex(head_of(sk0_8))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f564,plain,(
% 0.14/0.39 ~vertex(head_of(sk0_8))|spl0_50),
% 0.14/0.39 inference(component_clause,[status(thm)],[f562])).
% 0.14/0.39 fof(f581,plain,(
% 0.14/0.39 spl0_53 <=> head_of(sk0_8)=head_of(sk0_9)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f583,plain,(
% 0.14/0.39 ~head_of(sk0_8)=head_of(sk0_9)|spl0_53),
% 0.14/0.39 inference(component_clause,[status(thm)],[f581])).
% 0.14/0.39 fof(f584,plain,(
% 0.14/0.39 ~edge(sk0_8)|~head_of(sk0_8)=head_of(sk0_9)|~spl0_30),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f457,f21])).
% 0.14/0.39 fof(f585,plain,(
% 0.14/0.39 ~spl0_35|~spl0_53|~spl0_30),
% 0.14/0.39 inference(split_clause,[status(thm)],[f584,f482,f581,f456])).
% 0.14/0.39 fof(f593,plain,(
% 0.14/0.39 spl0_54 <=> ~shortest_path(X0,X1,X2)|~precedes(sk0_8,sk0_9,X2)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f594,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~shortest_path(X0,X1,X2)|~precedes(sk0_8,sk0_9,X2)|~spl0_54)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f593])).
% 0.14/0.39 fof(f596,plain,(
% 0.14/0.39 spl0_55 <=> head_of(sk0_9)=tail_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f597,plain,(
% 0.14/0.39 head_of(sk0_9)=tail_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))|~spl0_55),
% 0.14/0.39 inference(component_clause,[status(thm)],[f596])).
% 0.14/0.39 fof(f599,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~shortest_path(X0,X1,X2)|~precedes(sk0_8,sk0_9,X2)|~vertex(head_of(sk0_9))|~vertex(tail_of(sk0_8))|head_of(sk0_9)=tail_of(sk0_8)|head_of(sk0_9)=tail_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))|~spl0_31|~spl0_3)),
% 0.14/0.39 inference(resolution,[status(thm)],[f460,f297])).
% 0.14/0.39 fof(f600,plain,(
% 0.14/0.39 spl0_54|~spl0_11|~spl0_13|spl0_30|spl0_55|~spl0_31|~spl0_3),
% 0.14/0.39 inference(split_clause,[status(thm)],[f599,f593,f206,f215,f456,f596,f459,f144])).
% 0.14/0.39 fof(f731,plain,(
% 0.14/0.39 $false|~spl0_25|spl0_50),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f564,f442])).
% 0.14/0.39 fof(f732,plain,(
% 0.14/0.39 ~spl0_25|spl0_50),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f731])).
% 0.14/0.39 fof(f736,plain,(
% 0.14/0.39 $false|~spl0_25|spl0_35),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f484,f443])).
% 0.14/0.39 fof(f737,plain,(
% 0.14/0.39 ~spl0_25|spl0_35),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f736])).
% 0.14/0.39 fof(f842,plain,(
% 0.14/0.39 ~head_of(sk0_8)=head_of(sk0_8)|~spl0_36|spl0_53),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f486,f583])).
% 0.14/0.39 fof(f843,plain,(
% 0.14/0.39 $false|~spl0_36|spl0_53),
% 0.14/0.39 inference(trivial_equality_resolution,[status(esa)],[f842])).
% 0.14/0.39 fof(f844,plain,(
% 0.14/0.39 ~spl0_36|spl0_53),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f843])).
% 0.14/0.39 fof(f881,plain,(
% 0.14/0.39 spl0_84 <=> ~edge(sk0_0(tail_of(sk0_8),X0))|~tail_of(sk0_0(tail_of(sk0_8),X0))=head_of(sk0_9)|~shortest_path(X1,X2,X3)|~precedes(sk0_8,X4,X3)|~head_of(sk0_0(tail_of(sk0_8),X0))=head_of(X4)|~vertex(X0)|X0=tail_of(sk0_8)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f884,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~edge(sk0_0(tail_of(sk0_8),X0))|~tail_of(sk0_0(tail_of(sk0_8),X0))=head_of(sk0_9)|~shortest_path(X1,X2,X3)|~precedes(sk0_8,X4,X3)|~head_of(sk0_0(tail_of(sk0_8),X0))=head_of(X4)|~vertex(X0)|~vertex(tail_of(sk0_8))|X0=tail_of(sk0_8)|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f122,f298])).
% 0.14/0.39 fof(f885,plain,(
% 0.14/0.39 spl0_84|~spl0_13|~spl0_2),
% 0.14/0.39 inference(split_clause,[status(thm)],[f884,f881,f215,f140])).
% 0.14/0.39 fof(f933,plain,(
% 0.14/0.39 ![X0,X1]: (precedes(X0,X1,sk0_10)|~on_path(X0,sk0_10)|~on_path(X1,sk0_10)|~sequential(X0,X1))),
% 0.14/0.39 inference(resolution,[status(thm)],[f69,f162])).
% 0.14/0.39 fof(f939,plain,(
% 0.14/0.39 ~on_path(sk0_9,sk0_10)|~on_path(sk0_8,sk0_10)|~sequential(sk0_9,sk0_8)),
% 0.14/0.39 inference(resolution,[status(thm)],[f933,f290])).
% 0.14/0.39 fof(f940,plain,(
% 0.14/0.39 ~spl0_26|~spl0_25|~spl0_34),
% 0.14/0.39 inference(split_clause,[status(thm)],[f939,f399,f394,f479])).
% 0.14/0.39 fof(f941,plain,(
% 0.14/0.39 spl0_85 <=> ~on_path(sk0_1(X0,X1,tail_of(X2)),sk0_10)|~on_path(X2,sk0_10)|~sequential(sk0_1(X0,X1,tail_of(X2)),X2)|~path(tail_of(X2),X1,X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f944,plain,(
% 0.14/0.39 spl0_86 <=> ~shortest_path(X3,X4,sk0_10)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f945,plain,(
% 0.14/0.39 ![X0,X1]: (~shortest_path(X0,X1,sk0_10)|~spl0_86)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f944])).
% 0.14/0.39 fof(f947,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~on_path(sk0_1(X0,X1,tail_of(X2)),sk0_10)|~on_path(X2,sk0_10)|~sequential(sk0_1(X0,X1,tail_of(X2)),X2)|~path(tail_of(X2),X1,X0)|~shortest_path(X3,X4,sk0_10))),
% 0.14/0.39 inference(resolution,[status(thm)],[f933,f376])).
% 0.14/0.39 fof(f948,plain,(
% 0.14/0.39 spl0_85|spl0_86),
% 0.14/0.39 inference(split_clause,[status(thm)],[f947,f941,f944])).
% 0.14/0.39 fof(f949,plain,(
% 0.14/0.39 spl0_87 <=> ~on_path(X0,sk0_10)|~sequential(X0,sk0_9)|~sequential(X0,sk0_9)|~sequential(X0,sk0_8)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f950,plain,(
% 0.14/0.39 ![X0]: (~on_path(X0,sk0_10)|~sequential(X0,sk0_9)|~sequential(X0,sk0_9)|~sequential(X0,sk0_8)|~spl0_87)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f949])).
% 0.14/0.39 fof(f952,plain,(
% 0.14/0.39 ![X0]: (~on_path(X0,sk0_10)|~on_path(sk0_9,sk0_10)|~sequential(X0,sk0_9)|~sequential(X0,sk0_9)|~sequential(X0,sk0_8)|~spl0_9)),
% 0.14/0.39 inference(resolution,[status(thm)],[f933,f182])).
% 0.14/0.39 fof(f953,plain,(
% 0.14/0.39 spl0_87|~spl0_26|~spl0_9),
% 0.14/0.39 inference(split_clause,[status(thm)],[f952,f949,f399,f181])).
% 0.14/0.39 fof(f959,plain,(
% 0.14/0.39 spl0_89 <=> ~on_path(X0,sk0_10)|~on_path(sk0_0(head_of(X0),X1),sk0_10)|~sequential(X0,sk0_0(head_of(X0),X1))|~vertex(X1)|~vertex(head_of(X0))|X1=head_of(X0)|X1=head_of(sk0_0(head_of(X0),X1))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f962,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~on_path(X0,sk0_10)|~on_path(sk0_0(head_of(X0),X1),sk0_10)|~sequential(X0,sk0_0(head_of(X0),X1))|~shortest_path(X2,X3,sk0_10)|~vertex(X1)|~vertex(head_of(X0))|X1=head_of(X0)|X1=head_of(sk0_0(head_of(X0),X1))|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f933,f350])).
% 0.14/0.39 fof(f963,plain,(
% 0.14/0.39 spl0_89|spl0_86|~spl0_2),
% 0.14/0.39 inference(split_clause,[status(thm)],[f962,f959,f944,f140])).
% 0.14/0.39 fof(f964,plain,(
% 0.14/0.39 spl0_90 <=> ~on_path(X0,sk0_10)|~on_path(sk0_1(X1,X2,tail_of(X0)),sk0_10)|~sequential(X0,sk0_1(X1,X2,tail_of(X0)))|~path(tail_of(X0),X2,X1)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f967,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~on_path(X0,sk0_10)|~on_path(sk0_1(X1,X2,tail_of(X0)),sk0_10)|~sequential(X0,sk0_1(X1,X2,tail_of(X0)))|~path(tail_of(X0),X2,X1)|~shortest_path(X3,X4,sk0_10))),
% 0.14/0.39 inference(resolution,[status(thm)],[f933,f383])).
% 0.14/0.39 fof(f968,plain,(
% 0.14/0.39 spl0_90|spl0_86),
% 0.14/0.39 inference(split_clause,[status(thm)],[f967,f964,f944])).
% 0.14/0.39 fof(f971,plain,(
% 0.14/0.39 ![X0,X1]: (~on_path(X0,sk0_10)|~on_path(X1,sk0_10)|~sequential(X0,X1)|~precedes(X1,X0,sk0_10))),
% 0.14/0.39 inference(resolution,[status(thm)],[f933,f164])).
% 0.14/0.39 fof(f972,plain,(
% 0.14/0.39 spl0_91 <=> ~on_path(X0,sk0_10)|~on_path(X1,sk0_10)|~sequential(X0,X1)|on_path(X1,sk0_10)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f975,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~on_path(X0,sk0_10)|~on_path(X1,sk0_10)|~sequential(X0,X1)|~path(X2,X3,sk0_10)|on_path(X1,sk0_10))),
% 0.14/0.39 inference(resolution,[status(thm)],[f933,f76])).
% 0.14/0.39 fof(f976,plain,(
% 0.14/0.39 spl0_91|spl0_5),
% 0.14/0.39 inference(split_clause,[status(thm)],[f975,f972,f165])).
% 0.14/0.39 fof(f977,plain,(
% 0.14/0.39 spl0_92 <=> ~on_path(X0,sk0_10)|~on_path(X1,sk0_10)|~sequential(X0,X1)|on_path(X0,sk0_10)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f980,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~on_path(X0,sk0_10)|~on_path(X1,sk0_10)|~sequential(X0,X1)|~path(X2,X3,sk0_10)|on_path(X0,sk0_10))),
% 0.14/0.39 inference(resolution,[status(thm)],[f933,f75])).
% 0.14/0.39 fof(f981,plain,(
% 0.14/0.39 spl0_92|spl0_5),
% 0.14/0.39 inference(split_clause,[status(thm)],[f980,f977,f165])).
% 0.14/0.39 fof(f982,plain,(
% 0.14/0.39 spl0_93 <=> ~on_path(X0,sk0_10)|~on_path(X1,sk0_10)|~sequential(X0,X1)|~sequential(X0,X1)|~sequential(X0,X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f985,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~on_path(X0,sk0_10)|~on_path(X1,sk0_10)|~sequential(X0,X1)|~path(X2,X3,sk0_10)|~sequential(X0,X1)|~sequential(X0,X0))),
% 0.14/0.39 inference(resolution,[status(thm)],[f933,f79])).
% 0.14/0.39 fof(f986,plain,(
% 0.14/0.39 spl0_93|spl0_5),
% 0.14/0.39 inference(split_clause,[status(thm)],[f985,f982,f165])).
% 0.14/0.39 fof(f987,plain,(
% 0.14/0.39 spl0_94 <=> ~on_path(X0,sk0_10)|~on_path(X1,sk0_10)|~sequential(X0,X1)|~precedes(X4,X1,sk0_10)|~sequential(X4,X1)|~sequential(X4,X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f990,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~on_path(X0,sk0_10)|~on_path(X1,sk0_10)|~sequential(X0,X1)|~path(X2,X3,sk0_10)|~precedes(X4,X1,sk0_10)|~sequential(X4,X1)|~sequential(X4,X0))),
% 0.14/0.39 inference(resolution,[status(thm)],[f933,f79])).
% 0.14/0.39 fof(f991,plain,(
% 0.14/0.39 spl0_94|spl0_5),
% 0.14/0.39 inference(split_clause,[status(thm)],[f990,f987,f165])).
% 0.14/0.39 fof(f994,plain,(
% 0.14/0.39 spl0_95 <=> ~on_path(X0,sk0_10)|~on_path(X1,sk0_10)|~sequential(X0,X1)|~sequential(X0,X1)|~sequential(X0,X4)|~precedes(X4,X1,sk0_10)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f997,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~on_path(X0,sk0_10)|~on_path(X1,sk0_10)|~sequential(X0,X1)|~path(X2,X3,sk0_10)|~sequential(X0,X1)|~sequential(X0,X4)|~precedes(X4,X1,sk0_10))),
% 0.14/0.39 inference(resolution,[status(thm)],[f933,f79])).
% 0.14/0.39 fof(f998,plain,(
% 0.14/0.39 spl0_95|spl0_5),
% 0.14/0.39 inference(split_clause,[status(thm)],[f997,f994,f165])).
% 0.14/0.39 fof(f999,plain,(
% 0.14/0.39 ![X0]: (~on_path(X0,sk0_10)|~sequential(X0,sk0_9)|~sequential(X0,sk0_8)|~spl0_87)),
% 0.14/0.39 inference(duplicate_literals_removal,[status(esa)],[f950])).
% 0.14/0.39 fof(f1005,plain,(
% 0.14/0.39 ![X0,X1]: (~on_path(X0,sk0_10)|~on_path(X1,sk0_10)|~sequential(X0,X1)|~on_path(X1,sk0_10)|~on_path(X0,sk0_10)|~sequential(X1,X0))),
% 0.14/0.39 inference(resolution,[status(thm)],[f971,f933])).
% 0.14/0.39 fof(f1006,plain,(
% 0.14/0.39 ![X0,X1]: (~on_path(X0,sk0_10)|~on_path(X1,sk0_10)|~sequential(X0,X1)|~sequential(X1,X0))),
% 0.14/0.39 inference(duplicate_literals_removal,[status(esa)],[f1005])).
% 0.14/0.39 fof(f1007,plain,(
% 0.14/0.39 ![X0]: (~on_path(X0,sk0_10)|~sequential(X0,sk0_9)|~sequential(sk0_9,X0)|~spl0_26)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1006,f400])).
% 0.14/0.39 fof(f1008,plain,(
% 0.14/0.39 ![X0]: (~on_path(X0,sk0_10)|~sequential(X0,sk0_8)|~sequential(sk0_8,X0)|~spl0_25)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1006,f395])).
% 0.14/0.39 fof(f1009,plain,(
% 0.14/0.39 spl0_96 <=> ~on_path(X0,sk0_10)|~sequential(X0,sk0_3(X1,sk0_10))|~sequential(sk0_3(X1,sk0_10),X0)|~in_path(X1,sk0_10)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1012,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~on_path(X0,sk0_10)|~sequential(X0,sk0_3(X1,sk0_10))|~sequential(sk0_3(X1,sk0_10),X0)|~path(X2,X3,sk0_10)|~in_path(X1,sk0_10))),
% 0.14/0.39 inference(resolution,[status(thm)],[f1006,f58])).
% 0.14/0.39 fof(f1013,plain,(
% 0.14/0.39 spl0_96|spl0_5),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1012,f1009,f165])).
% 0.14/0.39 fof(f1032,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~path(X0,X1,X2)|~precedes(X3,X4,X2)|sequential(X3,X4)|edge(X3))),
% 0.14/0.39 inference(resolution,[status(thm)],[f77,f62])).
% 0.14/0.39 fof(f1033,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~path(X0,X1,X2)|~precedes(X3,X4,X2)|edge(X3))),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1032,f62])).
% 0.14/0.39 fof(f1036,plain,(
% 0.14/0.39 spl0_97 <=> edge(X2)|~on_path(X2,sk0_10)|~on_path(X3,sk0_10)|~sequential(X2,X3)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1039,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~path(X0,X1,sk0_10)|edge(X2)|~on_path(X2,sk0_10)|~on_path(X3,sk0_10)|~sequential(X2,X3))),
% 0.14/0.39 inference(resolution,[status(thm)],[f1033,f933])).
% 0.14/0.39 fof(f1040,plain,(
% 0.14/0.39 spl0_5|spl0_97),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1039,f165,f1036])).
% 0.14/0.39 fof(f1045,plain,(
% 0.14/0.39 spl0_98 <=> ~precedes(X2,sk0_9,sk0_10)|sequential(X2,sk0_9)|~sequential(sk0_4(sk0_9,X2,sk0_10),sk0_9)|~sequential(sk0_4(sk0_9,X2,sk0_10),sk0_8)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1048,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~path(X0,X1,sk0_10)|~precedes(X2,sk0_9,sk0_10)|sequential(X2,sk0_9)|~sequential(sk0_4(sk0_9,X2,sk0_10),sk0_9)|~sequential(sk0_4(sk0_9,X2,sk0_10),sk0_8)|~spl0_9)),
% 0.14/0.39 inference(resolution,[status(thm)],[f78,f182])).
% 0.14/0.39 fof(f1049,plain,(
% 0.14/0.39 spl0_5|spl0_98|~spl0_9),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1048,f165,f1045,f181])).
% 0.14/0.39 fof(f1050,plain,(
% 0.14/0.39 spl0_99 <=> ~precedes(X2,X3,sk0_10)|sequential(X2,X3)|~on_path(X3,sk0_10)|~on_path(sk0_4(X3,X2,sk0_10),sk0_10)|~sequential(X3,sk0_4(X3,X2,sk0_10))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1053,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~path(X0,X1,sk0_10)|~precedes(X2,X3,sk0_10)|sequential(X2,X3)|~on_path(X3,sk0_10)|~on_path(sk0_4(X3,X2,sk0_10),sk0_10)|~sequential(X3,sk0_4(X3,X2,sk0_10)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f78,f971])).
% 0.14/0.39 fof(f1054,plain,(
% 0.14/0.39 spl0_5|spl0_99),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1053,f165,f1050])).
% 0.14/0.39 fof(f1055,plain,(
% 0.14/0.39 spl0_100 <=> ~precedes(X2,X3,sk0_10)|sequential(X2,X3)|~precedes(X3,sk0_4(X3,X2,sk0_10),sk0_10)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1058,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~path(X0,X1,sk0_10)|~precedes(X2,X3,sk0_10)|sequential(X2,X3)|~precedes(X3,sk0_4(X3,X2,sk0_10),sk0_10))),
% 0.14/0.39 inference(resolution,[status(thm)],[f78,f164])).
% 0.14/0.39 fof(f1059,plain,(
% 0.14/0.39 spl0_5|spl0_100),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1058,f165,f1055])).
% 0.14/0.39 fof(f1069,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5]: (~path(X0,X1,X2)|precedes(X3,X4,X2)|~on_path(X3,X2)|~sequential(X3,X5)|~precedes(X5,X4,X2))),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f70,f76])).
% 0.14/0.39 fof(f1071,plain,(
% 0.14/0.39 spl0_101 <=> precedes(X2,sk0_9,sk0_10)|~on_path(X2,sk0_10)|~sequential(X2,sk0_8)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1072,plain,(
% 0.14/0.39 ![X0]: (precedes(X0,sk0_9,sk0_10)|~on_path(X0,sk0_10)|~sequential(X0,sk0_8)|~spl0_101)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f1071])).
% 0.14/0.39 fof(f1074,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~path(X0,X1,sk0_10)|precedes(X2,sk0_9,sk0_10)|~on_path(X2,sk0_10)|~sequential(X2,sk0_8))),
% 0.14/0.39 inference(resolution,[status(thm)],[f1069,f121])).
% 0.14/0.39 fof(f1075,plain,(
% 0.14/0.39 spl0_5|spl0_101),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1074,f165,f1071])).
% 0.14/0.39 fof(f1076,plain,(
% 0.14/0.39 spl0_102 <=> precedes(X2,X3,sk0_10)|~on_path(X2,sk0_10)|~sequential(X2,X4)|~on_path(X4,sk0_10)|~on_path(X3,sk0_10)|~sequential(X4,X3)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1079,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~path(X0,X1,sk0_10)|precedes(X2,X3,sk0_10)|~on_path(X2,sk0_10)|~sequential(X2,X4)|~on_path(X4,sk0_10)|~on_path(X3,sk0_10)|~sequential(X4,X3))),
% 0.14/0.39 inference(resolution,[status(thm)],[f1069,f933])).
% 0.14/0.39 fof(f1080,plain,(
% 0.14/0.39 spl0_5|spl0_102),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1079,f165,f1076])).
% 0.14/0.39 fof(f1084,plain,(
% 0.14/0.39 $false|~spl0_86),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f120,f945])).
% 0.14/0.39 fof(f1085,plain,(
% 0.14/0.39 ~spl0_86),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f1084])).
% 0.14/0.39 fof(f1185,plain,(
% 0.14/0.39 spl0_119 <=> ~on_path(sk0_1(X0,X1,tail_of(sk0_9)),sk0_10)|~sequential(sk0_1(X0,X1,tail_of(sk0_9)),sk0_8)|~path(tail_of(sk0_9),X1,X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1188,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~on_path(sk0_1(X0,X1,tail_of(sk0_9)),sk0_10)|~sequential(sk0_1(X0,X1,tail_of(sk0_9)),sk0_8)|~path(tail_of(sk0_9),X1,X0)|~shortest_path(X2,X3,sk0_10)|~spl0_101)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1072,f376])).
% 0.14/0.39 fof(f1189,plain,(
% 0.14/0.39 spl0_119|spl0_86|~spl0_101),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1188,f1185,f944,f1071])).
% 0.14/0.39 fof(f1192,plain,(
% 0.14/0.39 spl0_120 <=> ~on_path(X0,sk0_10)|~sequential(X0,sk0_8)|~on_path(X0,sk0_10)|~sequential(sk0_9,X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1195,plain,(
% 0.14/0.39 ![X0]: (~on_path(X0,sk0_10)|~sequential(X0,sk0_8)|~on_path(sk0_9,sk0_10)|~on_path(X0,sk0_10)|~sequential(sk0_9,X0)|~spl0_101)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1072,f971])).
% 0.14/0.39 fof(f1196,plain,(
% 0.14/0.39 spl0_120|~spl0_26|~spl0_101),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1195,f1192,f399,f1071])).
% 0.14/0.39 fof(f1200,plain,(
% 0.14/0.39 spl0_121 <=> ~on_path(X0,sk0_10)|~sequential(X0,sk0_8)|precedes(X3,sk0_9,sk0_10)|~on_path(X3,sk0_10)|~sequential(X3,X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1203,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~on_path(X0,sk0_10)|~sequential(X0,sk0_8)|~path(X1,X2,sk0_10)|precedes(X3,sk0_9,sk0_10)|~on_path(X3,sk0_10)|~sequential(X3,X0)|~spl0_101)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1072,f1069])).
% 0.14/0.39 fof(f1204,plain,(
% 0.14/0.39 spl0_121|spl0_5|~spl0_101),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1203,f1200,f165,f1071])).
% 0.14/0.39 fof(f1205,plain,(
% 0.14/0.39 spl0_122 <=> ~on_path(X0,sk0_10)|~sequential(X0,sk0_8)|edge(X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1208,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~on_path(X0,sk0_10)|~sequential(X0,sk0_8)|~path(X1,X2,sk0_10)|edge(X0)|~spl0_101)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1072,f1033])).
% 0.14/0.39 fof(f1209,plain,(
% 0.14/0.39 spl0_122|spl0_5|~spl0_101),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1208,f1205,f165,f1071])).
% 0.14/0.39 fof(f1215,plain,(
% 0.14/0.39 spl0_124 <=> ~on_path(X0,sk0_10)|~sequential(X0,sk0_8)|on_path(X0,sk0_10)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1218,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~on_path(X0,sk0_10)|~sequential(X0,sk0_8)|~path(X1,X2,sk0_10)|on_path(X0,sk0_10)|~spl0_101)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1072,f75])).
% 0.14/0.39 fof(f1219,plain,(
% 0.14/0.39 spl0_124|spl0_5|~spl0_101),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1218,f1215,f165,f1071])).
% 0.14/0.39 fof(f1220,plain,(
% 0.14/0.39 spl0_125 <=> ~on_path(X0,sk0_10)|~sequential(X0,sk0_8)|~sequential(X0,sk0_9)|~sequential(X0,X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1223,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~on_path(X0,sk0_10)|~sequential(X0,sk0_8)|~path(X1,X2,sk0_10)|~sequential(X0,sk0_9)|~sequential(X0,X0)|~spl0_101)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1072,f79])).
% 0.14/0.39 fof(f1224,plain,(
% 0.14/0.39 spl0_125|spl0_5|~spl0_101),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1223,f1220,f165,f1071])).
% 0.14/0.39 fof(f1225,plain,(
% 0.14/0.39 spl0_126 <=> ~on_path(X0,sk0_10)|~sequential(X0,sk0_8)|~precedes(X3,sk0_9,sk0_10)|~sequential(X3,sk0_9)|~sequential(X3,X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1228,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~on_path(X0,sk0_10)|~sequential(X0,sk0_8)|~path(X1,X2,sk0_10)|~precedes(X3,sk0_9,sk0_10)|~sequential(X3,sk0_9)|~sequential(X3,X0)|~spl0_101)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1072,f79])).
% 0.14/0.39 fof(f1229,plain,(
% 0.14/0.39 spl0_126|spl0_5|~spl0_101),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1228,f1225,f165,f1071])).
% 0.14/0.39 fof(f1232,plain,(
% 0.14/0.39 spl0_127 <=> ~on_path(X0,sk0_10)|~sequential(X0,sk0_8)|~sequential(X0,sk0_9)|~sequential(X0,X3)|~precedes(X3,sk0_9,sk0_10)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1235,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~on_path(X0,sk0_10)|~sequential(X0,sk0_8)|~path(X1,X2,sk0_10)|~sequential(X0,sk0_9)|~sequential(X0,X3)|~precedes(X3,sk0_9,sk0_10)|~spl0_101)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1072,f79])).
% 0.14/0.39 fof(f1236,plain,(
% 0.14/0.39 spl0_127|spl0_5|~spl0_101),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1235,f1232,f165,f1071])).
% 0.14/0.39 fof(f1238,plain,(
% 0.14/0.39 spl0_128 <=> ~on_path(sk0_0(tail_of(sk0_9),tail_of(X0)),sk0_10)|~sequential(sk0_0(tail_of(sk0_9),tail_of(X0)),sk0_8)|tail_of(X0)=tail_of(sk0_9)|~edge(sk0_0(tail_of(sk0_9),tail_of(X0)))|sk0_0(tail_of(sk0_9),tail_of(X0))=sk0_9|sequential(sk0_0(tail_of(sk0_9),tail_of(X0)),X0)|~edge(X0)|sk0_0(tail_of(sk0_9),tail_of(X0))=X0),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1241,plain,(
% 0.14/0.39 ![X0]: (~on_path(sk0_0(tail_of(sk0_9),tail_of(X0)),sk0_10)|~sequential(sk0_0(tail_of(sk0_9),tail_of(X0)),sk0_8)|tail_of(X0)=tail_of(sk0_9)|~edge(sk0_0(tail_of(sk0_9),tail_of(X0)))|~edge(sk0_9)|sk0_0(tail_of(sk0_9),tail_of(X0))=sk0_9|sequential(sk0_0(tail_of(sk0_9),tail_of(X0)),X0)|~edge(X0)|sk0_0(tail_of(sk0_9),tail_of(X0))=X0|~spl0_87|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f999,f255])).
% 0.14/0.39 fof(f1242,plain,(
% 0.14/0.39 spl0_128|~spl0_19|~spl0_87|~spl0_2),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1241,f1238,f283,f949,f140])).
% 0.14/0.39 fof(f1243,plain,(
% 0.14/0.39 spl0_129 <=> ~on_path(sk0_0(tail_of(sk0_8),tail_of(X0)),sk0_10)|~sequential(sk0_0(tail_of(sk0_8),tail_of(X0)),sk0_9)|tail_of(X0)=tail_of(sk0_8)|~edge(sk0_0(tail_of(sk0_8),tail_of(X0)))|sk0_0(tail_of(sk0_8),tail_of(X0))=sk0_8|sequential(sk0_0(tail_of(sk0_8),tail_of(X0)),X0)|~edge(X0)|sk0_0(tail_of(sk0_8),tail_of(X0))=X0),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1246,plain,(
% 0.14/0.39 ![X0]: (~on_path(sk0_0(tail_of(sk0_8),tail_of(X0)),sk0_10)|~sequential(sk0_0(tail_of(sk0_8),tail_of(X0)),sk0_9)|tail_of(X0)=tail_of(sk0_8)|~edge(sk0_0(tail_of(sk0_8),tail_of(X0)))|~edge(sk0_8)|sk0_0(tail_of(sk0_8),tail_of(X0))=sk0_8|sequential(sk0_0(tail_of(sk0_8),tail_of(X0)),X0)|~edge(X0)|sk0_0(tail_of(sk0_8),tail_of(X0))=X0|~spl0_87|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f999,f255])).
% 0.14/0.39 fof(f1247,plain,(
% 0.14/0.39 spl0_129|~spl0_35|~spl0_87|~spl0_2),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1246,f1243,f482,f949,f140])).
% 0.14/0.39 fof(f1266,plain,(
% 0.14/0.39 spl0_133 <=> ~on_path(sk0_0(tail_of(sk0_9),tail_of(X0)),sk0_10)|~sequential(sk0_9,sk0_0(tail_of(sk0_9),tail_of(X0)))|tail_of(X0)=tail_of(sk0_9)|~edge(sk0_0(tail_of(sk0_9),tail_of(X0)))|sk0_0(tail_of(sk0_9),tail_of(X0))=sk0_9|sequential(sk0_0(tail_of(sk0_9),tail_of(X0)),X0)|~edge(X0)|sk0_0(tail_of(sk0_9),tail_of(X0))=X0),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1269,plain,(
% 0.14/0.39 ![X0]: (~on_path(sk0_0(tail_of(sk0_9),tail_of(X0)),sk0_10)|~sequential(sk0_9,sk0_0(tail_of(sk0_9),tail_of(X0)))|tail_of(X0)=tail_of(sk0_9)|~edge(sk0_0(tail_of(sk0_9),tail_of(X0)))|~edge(sk0_9)|sk0_0(tail_of(sk0_9),tail_of(X0))=sk0_9|sequential(sk0_0(tail_of(sk0_9),tail_of(X0)),X0)|~edge(X0)|sk0_0(tail_of(sk0_9),tail_of(X0))=X0|~spl0_26|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1007,f255])).
% 0.14/0.39 fof(f1270,plain,(
% 0.14/0.39 spl0_133|~spl0_19|~spl0_26|~spl0_2),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1269,f1266,f283,f399,f140])).
% 0.14/0.39 fof(f1272,plain,(
% 0.14/0.39 spl0_134 <=> ~on_path(sk0_1(X0,X1,head_of(sk0_9)),sk0_10)|~sequential(sk0_1(X0,X1,head_of(sk0_9)),sk0_9)|~path(head_of(sk0_9),X1,X0)|sk0_9=sk0_1(X0,X1,head_of(sk0_9))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1275,plain,(
% 0.14/0.39 ![X0,X1]: (~on_path(sk0_1(X0,X1,head_of(sk0_9)),sk0_10)|~sequential(sk0_1(X0,X1,head_of(sk0_9)),sk0_9)|~path(head_of(sk0_9),X1,X0)|~edge(sk0_9)|sk0_9=sk0_1(X0,X1,head_of(sk0_9))|~spl0_26)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1007,f359])).
% 0.14/0.39 fof(f1276,plain,(
% 0.14/0.39 spl0_134|~spl0_19|~spl0_26),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1275,f1272,f283,f399])).
% 0.14/0.39 fof(f1277,plain,(
% 0.14/0.39 spl0_135 <=> ~on_path(sk0_0(head_of(sk0_9),head_of(X0)),sk0_10)|~sequential(sk0_0(head_of(sk0_9),head_of(X0)),sk0_9)|head_of(X0)=head_of(sk0_9)|~edge(sk0_0(head_of(sk0_9),head_of(X0)))|sk0_9=sk0_0(head_of(sk0_9),head_of(X0))|sequential(X0,sk0_0(head_of(sk0_9),head_of(X0)))|~edge(X0)|X0=sk0_0(head_of(sk0_9),head_of(X0))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1280,plain,(
% 0.14/0.39 ![X0]: (~on_path(sk0_0(head_of(sk0_9),head_of(X0)),sk0_10)|~sequential(sk0_0(head_of(sk0_9),head_of(X0)),sk0_9)|head_of(X0)=head_of(sk0_9)|~edge(sk0_9)|~edge(sk0_0(head_of(sk0_9),head_of(X0)))|sk0_9=sk0_0(head_of(sk0_9),head_of(X0))|sequential(X0,sk0_0(head_of(sk0_9),head_of(X0)))|~edge(X0)|X0=sk0_0(head_of(sk0_9),head_of(X0))|~spl0_26|~spl0_3)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1007,f258])).
% 0.14/0.39 fof(f1281,plain,(
% 0.14/0.39 spl0_135|~spl0_19|~spl0_26|~spl0_3),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1280,f1277,f283,f399,f144])).
% 0.14/0.39 fof(f1282,plain,(
% 0.14/0.39 spl0_136 <=> sequential(sk0_9,sk0_9)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1285,plain,(
% 0.14/0.39 ~on_path(sk0_9,sk0_10)|~sequential(sk0_9,sk0_9)|~spl0_26),
% 0.14/0.39 inference(factoring,[status(esa)],[f1007])).
% 0.14/0.39 fof(f1286,plain,(
% 0.14/0.39 ~spl0_26|~spl0_136),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1285,f399,f1282])).
% 0.14/0.39 fof(f1289,plain,(
% 0.14/0.39 spl0_137 <=> ~on_path(sk0_0(tail_of(sk0_8),tail_of(X0)),sk0_10)|~sequential(sk0_8,sk0_0(tail_of(sk0_8),tail_of(X0)))|tail_of(X0)=tail_of(sk0_8)|~edge(sk0_0(tail_of(sk0_8),tail_of(X0)))|sk0_0(tail_of(sk0_8),tail_of(X0))=sk0_8|sequential(sk0_0(tail_of(sk0_8),tail_of(X0)),X0)|~edge(X0)|sk0_0(tail_of(sk0_8),tail_of(X0))=X0),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1292,plain,(
% 0.14/0.39 ![X0]: (~on_path(sk0_0(tail_of(sk0_8),tail_of(X0)),sk0_10)|~sequential(sk0_8,sk0_0(tail_of(sk0_8),tail_of(X0)))|tail_of(X0)=tail_of(sk0_8)|~edge(sk0_0(tail_of(sk0_8),tail_of(X0)))|~edge(sk0_8)|sk0_0(tail_of(sk0_8),tail_of(X0))=sk0_8|sequential(sk0_0(tail_of(sk0_8),tail_of(X0)),X0)|~edge(X0)|sk0_0(tail_of(sk0_8),tail_of(X0))=X0|~spl0_25|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1008,f255])).
% 0.14/0.39 fof(f1293,plain,(
% 0.14/0.39 spl0_137|~spl0_35|~spl0_25|~spl0_2),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1292,f1289,f482,f394,f140])).
% 0.14/0.39 fof(f1295,plain,(
% 0.14/0.39 spl0_138 <=> ~on_path(sk0_1(X0,X1,head_of(sk0_8)),sk0_10)|~sequential(sk0_1(X0,X1,head_of(sk0_8)),sk0_8)|~path(head_of(sk0_8),X1,X0)|sk0_8=sk0_1(X0,X1,head_of(sk0_8))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1298,plain,(
% 0.14/0.39 ![X0,X1]: (~on_path(sk0_1(X0,X1,head_of(sk0_8)),sk0_10)|~sequential(sk0_1(X0,X1,head_of(sk0_8)),sk0_8)|~path(head_of(sk0_8),X1,X0)|~edge(sk0_8)|sk0_8=sk0_1(X0,X1,head_of(sk0_8))|~spl0_25)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1008,f359])).
% 0.14/0.39 fof(f1299,plain,(
% 0.14/0.39 spl0_138|~spl0_35|~spl0_25),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1298,f1295,f482,f394])).
% 0.14/0.39 fof(f1300,plain,(
% 0.14/0.39 spl0_139 <=> ~on_path(sk0_0(head_of(sk0_8),head_of(X0)),sk0_10)|~sequential(sk0_0(head_of(sk0_8),head_of(X0)),sk0_8)|head_of(X0)=head_of(sk0_8)|~edge(sk0_0(head_of(sk0_8),head_of(X0)))|sk0_8=sk0_0(head_of(sk0_8),head_of(X0))|sequential(X0,sk0_0(head_of(sk0_8),head_of(X0)))|~edge(X0)|X0=sk0_0(head_of(sk0_8),head_of(X0))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1303,plain,(
% 0.14/0.39 ![X0]: (~on_path(sk0_0(head_of(sk0_8),head_of(X0)),sk0_10)|~sequential(sk0_0(head_of(sk0_8),head_of(X0)),sk0_8)|head_of(X0)=head_of(sk0_8)|~edge(sk0_8)|~edge(sk0_0(head_of(sk0_8),head_of(X0)))|sk0_8=sk0_0(head_of(sk0_8),head_of(X0))|sequential(X0,sk0_0(head_of(sk0_8),head_of(X0)))|~edge(X0)|X0=sk0_0(head_of(sk0_8),head_of(X0))|~spl0_25|~spl0_3)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1008,f258])).
% 0.14/0.39 fof(f1304,plain,(
% 0.14/0.39 spl0_139|~spl0_35|~spl0_25|~spl0_3),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1303,f1300,f482,f394,f144])).
% 0.14/0.39 fof(f1305,plain,(
% 0.14/0.39 ~on_path(sk0_8,sk0_10)|~sequential(sk0_8,sk0_8)|~spl0_25),
% 0.14/0.39 inference(factoring,[status(esa)],[f1008])).
% 0.14/0.39 fof(f1306,plain,(
% 0.14/0.39 ~spl0_25|~spl0_7),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1305,f394,f171])).
% 0.14/0.39 fof(f1415,plain,(
% 0.14/0.39 ~edge(sk0_0(tail_of(sk0_8),head_of(sk0_9)))|~head_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))=head_of(sk0_9)|~spl0_55),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f597,f21])).
% 0.14/0.39 fof(f1416,plain,(
% 0.14/0.39 ~spl0_32|~spl0_31|~spl0_55),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1415,f462,f459,f596])).
% 0.14/0.39 fof(f1417,plain,(
% 0.14/0.39 spl0_155 <=> ~vertex(X2)|X2=head_of(sk0_9)|X2=head_of(sk0_0(head_of(sk0_9),X2))|~on_path(sk0_0(head_of(sk0_9),X2),sk0_10)|~sequential(sk0_0(head_of(sk0_9),X2),sk0_8)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1420,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~shortest_path(X0,X1,sk0_10)|~vertex(X2)|~vertex(head_of(sk0_9))|X2=head_of(sk0_9)|X2=head_of(sk0_0(head_of(sk0_9),X2))|~on_path(sk0_0(head_of(sk0_9),X2),sk0_10)|~sequential(sk0_0(head_of(sk0_9),X2),sk0_8)|~spl0_2|~spl0_101)),
% 0.14/0.39 inference(resolution,[status(thm)],[f354,f1072])).
% 0.14/0.39 fof(f1421,plain,(
% 0.14/0.39 spl0_86|spl0_155|~spl0_11|~spl0_2|~spl0_101),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1420,f944,f1417,f206,f140,f1071])).
% 0.14/0.39 fof(f1422,plain,(
% 0.14/0.39 spl0_156 <=> ~vertex(X2)|~vertex(head_of(X3))|X2=head_of(X3)|X2=head_of(sk0_0(head_of(X3),X2))|~on_path(sk0_0(head_of(X3),X2),sk0_10)|~on_path(X3,sk0_10)|~sequential(sk0_0(head_of(X3),X2),X3)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1425,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~shortest_path(X0,X1,sk0_10)|~vertex(X2)|~vertex(head_of(X3))|X2=head_of(X3)|X2=head_of(sk0_0(head_of(X3),X2))|~on_path(sk0_0(head_of(X3),X2),sk0_10)|~on_path(X3,sk0_10)|~sequential(sk0_0(head_of(X3),X2),X3)|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f354,f933])).
% 0.14/0.39 fof(f1426,plain,(
% 0.14/0.39 spl0_86|spl0_156|~spl0_2),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1425,f944,f1422,f140])).
% 0.14/0.39 fof(f1428,plain,(
% 0.14/0.39 spl0_157 <=> ~path(tail_of(X0),X1,X2)|~vertex(X5)|~vertex(head_of(X0))|X5=head_of(X0)|X5=head_of(sk0_0(head_of(X0),X5))|~on_path(sk0_1(X2,X1,tail_of(X0)),sk0_10)|~on_path(sk0_0(head_of(X0),X5),sk0_10)|~sequential(sk0_1(X2,X1,tail_of(X0)),sk0_0(head_of(X0),X5))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1431,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5]: (~path(tail_of(X0),X1,X2)|~shortest_path(X3,X4,sk0_10)|~vertex(X5)|~vertex(head_of(X0))|X5=head_of(X0)|X5=head_of(sk0_0(head_of(X0),X5))|~on_path(sk0_1(X2,X1,tail_of(X0)),sk0_10)|~on_path(sk0_0(head_of(X0),X5),sk0_10)|~sequential(sk0_1(X2,X1,tail_of(X0)),sk0_0(head_of(X0),X5))|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f371,f933])).
% 0.14/0.39 fof(f1432,plain,(
% 0.14/0.39 spl0_157|spl0_86|~spl0_2),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1431,f1428,f944,f140])).
% 0.14/0.39 fof(f1582,plain,(
% 0.14/0.39 spl0_169 <=> ~path(tail_of(sk0_0(head_of(sk0_9),X0)),X1,X2)|~vertex(X0)|X0=head_of(sk0_9)|X0=head_of(sk0_0(head_of(sk0_9),X0))|~on_path(sk0_1(X2,X1,tail_of(sk0_0(head_of(sk0_9),X0))),sk0_10)|~sequential(sk0_1(X2,X1,tail_of(sk0_0(head_of(sk0_9),X0))),sk0_8)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1585,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~path(tail_of(sk0_0(head_of(sk0_9),X0)),X1,X2)|~shortest_path(X3,X4,sk0_10)|~vertex(X0)|~vertex(head_of(sk0_9))|X0=head_of(sk0_9)|X0=head_of(sk0_0(head_of(sk0_9),X0))|~on_path(sk0_1(X2,X1,tail_of(sk0_0(head_of(sk0_9),X0))),sk0_10)|~sequential(sk0_1(X2,X1,tail_of(sk0_0(head_of(sk0_9),X0))),sk0_8)|~spl0_2|~spl0_101)),
% 0.14/0.39 inference(resolution,[status(thm)],[f375,f1072])).
% 0.14/0.39 fof(f1586,plain,(
% 0.14/0.39 spl0_169|spl0_86|~spl0_11|~spl0_2|~spl0_101),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1585,f1582,f944,f206,f140,f1071])).
% 0.14/0.39 fof(f1587,plain,(
% 0.14/0.39 spl0_170 <=> ~path(tail_of(sk0_0(head_of(X0),X1)),X2,X3)|~vertex(X1)|~vertex(head_of(X0))|X1=head_of(X0)|X1=head_of(sk0_0(head_of(X0),X1))|~on_path(sk0_1(X3,X2,tail_of(sk0_0(head_of(X0),X1))),sk0_10)|~on_path(X0,sk0_10)|~sequential(sk0_1(X3,X2,tail_of(sk0_0(head_of(X0),X1))),X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1590,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5]: (~path(tail_of(sk0_0(head_of(X0),X1)),X2,X3)|~shortest_path(X4,X5,sk0_10)|~vertex(X1)|~vertex(head_of(X0))|X1=head_of(X0)|X1=head_of(sk0_0(head_of(X0),X1))|~on_path(sk0_1(X3,X2,tail_of(sk0_0(head_of(X0),X1))),sk0_10)|~on_path(X0,sk0_10)|~sequential(sk0_1(X3,X2,tail_of(sk0_0(head_of(X0),X1))),X0)|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f375,f933])).
% 0.14/0.39 fof(f1591,plain,(
% 0.14/0.39 spl0_170|spl0_86|~spl0_2),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1590,f1587,f944,f140])).
% 0.14/0.39 fof(f1601,plain,(
% 0.14/0.39 spl0_172 <=> ~path(tail_of(X0),X1,X2)|~vertex(X5)|~vertex(head_of(sk0_1(X2,X1,tail_of(X0))))|X5=head_of(sk0_1(X2,X1,tail_of(X0)))|X5=head_of(sk0_0(head_of(sk0_1(X2,X1,tail_of(X0))),X5))|~on_path(X0,sk0_10)|~on_path(sk0_0(head_of(sk0_1(X2,X1,tail_of(X0))),X5),sk0_10)|~sequential(X0,sk0_0(head_of(sk0_1(X2,X1,tail_of(X0))),X5))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1604,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4,X5]: (~path(tail_of(X0),X1,X2)|~shortest_path(X3,X4,sk0_10)|~vertex(X5)|~vertex(head_of(sk0_1(X2,X1,tail_of(X0))))|X5=head_of(sk0_1(X2,X1,tail_of(X0)))|X5=head_of(sk0_0(head_of(sk0_1(X2,X1,tail_of(X0))),X5))|~on_path(X0,sk0_10)|~on_path(sk0_0(head_of(sk0_1(X2,X1,tail_of(X0))),X5),sk0_10)|~sequential(X0,sk0_0(head_of(sk0_1(X2,X1,tail_of(X0))),X5))|~spl0_2)),
% 0.14/0.39 inference(resolution,[status(thm)],[f382,f933])).
% 0.14/0.39 fof(f1605,plain,(
% 0.14/0.39 spl0_172|spl0_86|~spl0_2),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1604,f1601,f944,f140])).
% 0.14/0.39 fof(f1607,plain,(
% 0.14/0.39 spl0_173 <=> ~vertex(X0)|X0=head_of(sk0_9)|~sequential(sk0_0(head_of(sk0_9),X0),sk0_8)|~vertex(X0)|X0=head_of(sk0_9)|sequential(sk0_9,sk0_0(head_of(sk0_9),X0))|sk0_9=sk0_0(head_of(sk0_9),X0)|~pd0_0(sk0_0(head_of(sk0_9),X0),head_of(sk0_9),X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1610,plain,(
% 0.14/0.39 ![X0]: (~vertex(X0)|X0=head_of(sk0_9)|~sequential(sk0_0(head_of(sk0_9),X0),sk0_8)|~vertex(X0)|X0=head_of(sk0_9)|sequential(sk0_9,sk0_0(head_of(sk0_9),X0))|~edge(sk0_9)|sk0_9=sk0_0(head_of(sk0_9),X0)|~pd0_0(sk0_0(head_of(sk0_9),X0),head_of(sk0_9),X0)|~spl0_10|~spl0_1|~spl0_3|~spl0_4)),
% 0.14/0.39 inference(resolution,[status(thm)],[f204,f271])).
% 0.14/0.39 fof(f1611,plain,(
% 0.14/0.39 spl0_173|~spl0_19|~spl0_10|~spl0_1|~spl0_3|~spl0_4),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1610,f1607,f283,f203,f136,f144,f148])).
% 0.14/0.39 fof(f1614,plain,(
% 0.14/0.39 spl0_174 <=> ~vertex(head_of(X0))|head_of(X0)=head_of(sk0_9)|~sequential(sk0_0(head_of(sk0_9),head_of(X0)),sk0_8)|~vertex(head_of(X0))|head_of(X0)=head_of(sk0_9)|~pd0_0(sk0_0(head_of(sk0_9),head_of(X0)),head_of(sk0_9),head_of(X0))|~sequential(X0,sk0_0(head_of(sk0_9),head_of(X0)))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1617,plain,(
% 0.14/0.39 ![X0]: (~vertex(head_of(X0))|head_of(X0)=head_of(sk0_9)|~sequential(sk0_0(head_of(sk0_9),head_of(X0)),sk0_8)|~vertex(head_of(X0))|~vertex(head_of(sk0_9))|head_of(X0)=head_of(sk0_9)|~pd0_0(sk0_0(head_of(sk0_9),head_of(X0)),head_of(sk0_9),head_of(X0))|~sequential(X0,sk0_0(head_of(sk0_9),head_of(X0)))|~spl0_10|~spl0_4)),
% 0.14/0.39 inference(resolution,[status(thm)],[f204,f239])).
% 0.14/0.39 fof(f1618,plain,(
% 0.14/0.39 spl0_174|~spl0_11|~spl0_10|~spl0_4),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1617,f1614,f206,f203,f148])).
% 0.14/0.39 fof(f1624,plain,(
% 0.14/0.39 ~precedes(sk0_8,sk0_9,sk0_10)|~spl0_54),
% 0.14/0.39 inference(resolution,[status(thm)],[f120,f594])).
% 0.14/0.39 fof(f1625,plain,(
% 0.14/0.39 $false|~spl0_54),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1624,f121])).
% 0.14/0.39 fof(f1626,plain,(
% 0.14/0.39 ~spl0_54),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f1625])).
% 0.14/0.39 fof(f1627,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f139,f143,f147,f151,f185,f194,f198,f210,f219,f231,f238,f252,f266,f287,f310,f328,f337,f344,f366,f398,f403,f422,f427,f432,f441,f448,f452,f471,f473,f489,f585,f600,f732,f737,f844,f885,f940,f948,f953,f963,f968,f976,f981,f986,f991,f998,f1013,f1040,f1049,f1054,f1059,f1075,f1080,f1085,f1189,f1196,f1204,f1209,f1219,f1224,f1229,f1236,f1242,f1247,f1270,f1276,f1281,f1286,f1293,f1299,f1304,f1306,f1416,f1421,f1426,f1432,f1586,f1591,f1605,f1611,f1618,f1626])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.34/0.62 % Elapsed time: 0.099776 seconds
% 0.34/0.62 % CPU time: 0.308442 seconds
% 0.34/0.62 % Memory used: 39.624 MB
%------------------------------------------------------------------------------