TSTP Solution File: GRA007+2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRA007+2 : TPTP v8.1.2. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:18:34 EDT 2024
% Result : Theorem 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRA007+2 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 22:18:26 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.17/0.45 % Refutation found
% 0.17/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.45 fof(f1,axiom,(
% 0.17/0.45 (! [E] :( edge(E)=> head_of(E) != tail_of(E) ) )),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f2,axiom,(
% 0.17/0.45 (! [E] :( edge(E)=> ( vertex(head_of(E))& vertex(tail_of(E)) ) ) )),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f3,axiom,(
% 0.17/0.45 ( 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) ) ) ) )) )) ),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f6,axiom,(
% 0.17/0.45 (! [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) ) ) )),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f8,axiom,(
% 0.17/0.45 (! [E1,E2] :( sequential(E1,E2)<=> ( edge(E1)& edge(E2)& E1 != E2& head_of(E1) = tail_of(E2) ) ) )),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f9,axiom,(
% 0.17/0.45 (! [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) ) )) ) ) )) )),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f10,axiom,(
% 0.17/0.45 (! [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) ) )) ) ) )) )),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f11,axiom,(
% 0.17/0.45 (! [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)) ) )) ) )),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f12,axiom,(
% 0.17/0.45 (! [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) ) ) )),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f19,conjecture,(
% 0.17/0.45 ( 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) ) )) )) ),
% 0.17/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f20,negated_conjecture,(
% 0.17/0.45 ~(( 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) ) )) )) )),
% 0.17/0.45 inference(negated_conjecture,[status(cth)],[f19])).
% 0.17/0.45 fof(f21,plain,(
% 0.17/0.45 ![E]: (~edge(E)|~head_of(E)=tail_of(E))),
% 0.17/0.45 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.17/0.45 fof(f22,plain,(
% 0.17/0.45 ![X0]: (~edge(X0)|~head_of(X0)=tail_of(X0))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f21])).
% 0.17/0.45 fof(f23,plain,(
% 0.17/0.45 ![E]: (~edge(E)|(vertex(head_of(E))&vertex(tail_of(E))))),
% 0.17/0.45 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.17/0.45 fof(f24,plain,(
% 0.17/0.45 ![X0]: (~edge(X0)|vertex(head_of(X0)))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f23])).
% 0.17/0.45 fof(f25,plain,(
% 0.17/0.45 ![X0]: (~edge(X0)|vertex(tail_of(X0)))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f23])).
% 0.17/0.45 fof(f26,plain,(
% 0.17/0.45 ~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)))))))),
% 0.17/0.45 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.17/0.45 fof(f27,plain,(
% 0.17/0.45 ![V1,V2,E]: (pd0_0(E,V2,V1)<=>(V1=head_of(E)&V2=tail_of(E)))),
% 0.17/0.45 introduced(predicate_definition,[f26])).
% 0.17/0.45 fof(f28,plain,(
% 0.17/0.45 ~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)))))))),
% 0.17/0.45 inference(formula_renaming,[status(thm)],[f26,f27])).
% 0.17/0.45 fof(f29,plain,(
% 0.17/0.45 ~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))))))))),
% 0.17/0.45 inference(NNF_transformation,[status(esa)],[f28])).
% 0.17/0.45 fof(f30,plain,(
% 0.17/0.45 ~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))))))))),
% 0.17/0.45 inference(skolemization,[status(esa)],[f29])).
% 0.17/0.45 fof(f31,plain,(
% 0.17/0.45 ![X0,X1]: (~complete|~vertex(X0)|~vertex(X1)|X0=X1|edge(sk0_0(X1,X0)))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f30])).
% 0.17/0.45 fof(f32,plain,(
% 0.17/0.45 ![X0,X1]: (~complete|~vertex(X0)|~vertex(X1)|X0=X1|pd0_0(sk0_0(X1,X0),X1,X0)|X1=head_of(sk0_0(X1,X0)))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f30])).
% 0.17/0.45 fof(f33,plain,(
% 0.17/0.45 ![X0,X1]: (~complete|~vertex(X0)|~vertex(X1)|X0=X1|pd0_0(sk0_0(X1,X0),X1,X0)|X0=tail_of(sk0_0(X1,X0)))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f30])).
% 0.17/0.45 fof(f50,plain,(
% 0.17/0.45 ![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)))),
% 0.17/0.45 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.17/0.45 fof(f51,plain,(
% 0.17/0.45 ![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)))),
% 0.17/0.45 inference(miniscoping,[status(esa)],[f50])).
% 0.17/0.45 fof(f52,plain,(
% 0.17/0.45 ![X0,X1,X2,X3]: (~path(X0,X1,X2)|~on_path(X3,X2)|edge(X3))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f51])).
% 0.17/0.45 fof(f61,plain,(
% 0.17/0.45 ![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))))),
% 0.17/0.45 inference(NNF_transformation,[status(esa)],[f8])).
% 0.17/0.45 fof(f62,plain,(
% 0.17/0.45 (![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))))),
% 0.17/0.45 inference(miniscoping,[status(esa)],[f61])).
% 0.17/0.45 fof(f67,plain,(
% 0.17/0.45 ![X0,X1]: (sequential(X0,X1)|~edge(X0)|~edge(X1)|X0=X1|~head_of(X0)=tail_of(X1))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f62])).
% 0.17/0.45 fof(f68,plain,(
% 0.17/0.45 ![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))))))))),
% 0.17/0.45 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.17/0.45 fof(f69,plain,(
% 0.17/0.45 ![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))))))))),
% 0.17/0.45 inference(miniscoping,[status(esa)],[f68])).
% 0.17/0.45 fof(f70,plain,(
% 0.17/0.45 ![X0,X1,X2,X3,X4]: (~path(X0,X1,X2)|precedes(X3,X4,X2)|~on_path(X3,X2)|~on_path(X4,X2)|~sequential(X3,X4))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f69])).
% 0.17/0.45 fof(f72,plain,(
% 0.17/0.45 ![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))))))))),
% 0.17/0.45 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.17/0.45 fof(f73,plain,(
% 0.17/0.45 ![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)))))))))),
% 0.17/0.45 inference(NNF_transformation,[status(esa)],[f72])).
% 0.17/0.45 fof(f74,plain,(
% 0.17/0.45 ![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)))))))))),
% 0.17/0.45 inference(miniscoping,[status(esa)],[f73])).
% 0.17/0.45 fof(f75,plain,(
% 0.17/0.45 ![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)))))))))),
% 0.17/0.45 inference(skolemization,[status(esa)],[f74])).
% 0.17/0.45 fof(f76,plain,(
% 0.17/0.45 ![X0,X1,X2,X3,X4]: (~path(X0,X1,X2)|~precedes(X3,X4,X2)|on_path(X3,X2))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f75])).
% 0.17/0.45 fof(f77,plain,(
% 0.17/0.45 ![X0,X1,X2,X3,X4]: (~path(X0,X1,X2)|~precedes(X3,X4,X2)|on_path(X4,X2))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f75])).
% 0.17/0.45 fof(f81,plain,(
% 0.17/0.45 ![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))))))),
% 0.17/0.45 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.17/0.45 fof(f82,plain,(
% 0.17/0.45 ![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)))))))),
% 0.17/0.45 inference(NNF_transformation,[status(esa)],[f81])).
% 0.17/0.45 fof(f83,plain,(
% 0.17/0.45 (![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)))))))),
% 0.17/0.45 inference(miniscoping,[status(esa)],[f82])).
% 0.17/0.45 fof(f84,plain,(
% 0.17/0.45 (![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)))))))),
% 0.17/0.45 inference(skolemization,[status(esa)],[f83])).
% 0.17/0.45 fof(f85,plain,(
% 0.17/0.45 ![X0,X1,X2]: (~shortest_path(X0,X1,X2)|path(X0,X1,X2))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f84])).
% 0.17/0.45 fof(f90,plain,(
% 0.17/0.45 ![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)))),
% 0.17/0.45 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.17/0.45 fof(f91,plain,(
% 0.17/0.45 ![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)))),
% 0.17/0.45 inference(miniscoping,[status(esa)],[f90])).
% 0.17/0.45 fof(f92,plain,(
% 0.17/0.45 ![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))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f91])).
% 0.17/0.45 fof(f93,plain,(
% 0.17/0.45 ![X0,X1,X2,X3,X4]: (~shortest_path(X0,X1,X2)|~precedes(X3,X4,X2)|~precedes(X4,X3,X2))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f91])).
% 0.17/0.45 fof(f120,plain,(
% 0.17/0.45 (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))))))),
% 0.17/0.45 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.17/0.45 fof(f121,plain,(
% 0.17/0.45 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)))))),
% 0.17/0.45 inference(miniscoping,[status(esa)],[f120])).
% 0.17/0.45 fof(f122,plain,(
% 0.17/0.45 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))))),
% 0.17/0.45 inference(skolemization,[status(esa)],[f121])).
% 0.17/0.45 fof(f123,plain,(
% 0.17/0.45 complete),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f122])).
% 0.17/0.45 fof(f124,plain,(
% 0.17/0.45 shortest_path(sk0_11,sk0_12,sk0_10)),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f122])).
% 0.17/0.45 fof(f125,plain,(
% 0.17/0.45 precedes(sk0_8,sk0_9,sk0_10)),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f122])).
% 0.17/0.45 fof(f126,plain,(
% 0.17/0.45 ![X0]: (~edge(X0)|~tail_of(X0)=head_of(sk0_9)|~head_of(X0)=tail_of(sk0_8))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f122])).
% 0.17/0.45 fof(f127,plain,(
% 0.17/0.45 ![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))))),
% 0.17/0.45 inference(NNF_transformation,[status(esa)],[f27])).
% 0.17/0.45 fof(f128,plain,(
% 0.17/0.45 (![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))))),
% 0.17/0.45 inference(miniscoping,[status(esa)],[f127])).
% 0.17/0.45 fof(f129,plain,(
% 0.17/0.45 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|X2=head_of(X0))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f128])).
% 0.17/0.45 fof(f130,plain,(
% 0.17/0.45 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|X1=tail_of(X0))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f128])).
% 0.17/0.45 fof(f137,plain,(
% 0.17/0.45 spl0_0 <=> complete),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f139,plain,(
% 0.17/0.45 ~complete|spl0_0),
% 0.17/0.45 inference(component_clause,[status(thm)],[f137])).
% 0.17/0.45 fof(f140,plain,(
% 0.17/0.45 spl0_1 <=> ~vertex(X0)|~vertex(X1)|X0=X1|edge(sk0_0(X1,X0))),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f141,plain,(
% 0.17/0.45 ![X0,X1]: (~vertex(X0)|~vertex(X1)|X0=X1|edge(sk0_0(X1,X0))|~spl0_1)),
% 0.17/0.45 inference(component_clause,[status(thm)],[f140])).
% 0.17/0.45 fof(f143,plain,(
% 0.17/0.45 ~spl0_0|spl0_1),
% 0.17/0.45 inference(split_clause,[status(thm)],[f31,f137,f140])).
% 0.17/0.45 fof(f144,plain,(
% 0.17/0.45 spl0_2 <=> ~vertex(X0)|~vertex(X1)|X0=X1|pd0_0(sk0_0(X1,X0),X1,X0)|X1=head_of(sk0_0(X1,X0))),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f145,plain,(
% 0.17/0.45 ![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)),
% 0.17/0.45 inference(component_clause,[status(thm)],[f144])).
% 0.17/0.45 fof(f147,plain,(
% 0.17/0.45 ~spl0_0|spl0_2),
% 0.17/0.45 inference(split_clause,[status(thm)],[f32,f137,f144])).
% 0.17/0.45 fof(f148,plain,(
% 0.17/0.45 spl0_3 <=> ~vertex(X0)|~vertex(X1)|X0=X1|pd0_0(sk0_0(X1,X0),X1,X0)|X0=tail_of(sk0_0(X1,X0))),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f149,plain,(
% 0.17/0.45 ![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)),
% 0.17/0.45 inference(component_clause,[status(thm)],[f148])).
% 0.17/0.45 fof(f151,plain,(
% 0.17/0.45 ~spl0_0|spl0_3),
% 0.17/0.45 inference(split_clause,[status(thm)],[f33,f137,f148])).
% 0.17/0.45 fof(f162,plain,(
% 0.17/0.45 $false|spl0_0),
% 0.17/0.45 inference(forward_subsumption_resolution,[status(thm)],[f139,f123])).
% 0.17/0.45 fof(f163,plain,(
% 0.17/0.45 spl0_0),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f162])).
% 0.17/0.45 fof(f167,plain,(
% 0.17/0.45 path(sk0_11,sk0_12,sk0_10)),
% 0.17/0.45 inference(resolution,[status(thm)],[f85,f124])).
% 0.17/0.45 fof(f168,plain,(
% 0.17/0.45 ![X0,X1]: (~precedes(X0,X1,sk0_10)|~precedes(X1,X0,sk0_10))),
% 0.17/0.45 inference(resolution,[status(thm)],[f93,f124])).
% 0.17/0.45 fof(f169,plain,(
% 0.17/0.45 ~precedes(sk0_9,sk0_8,sk0_10)),
% 0.17/0.45 inference(resolution,[status(thm)],[f168,f125])).
% 0.17/0.45 fof(f170,plain,(
% 0.17/0.45 ![X0,X1,X2]: (~precedes(X0,X1,sk0_10)|~tail_of(X2)=tail_of(X0)|~head_of(X2)=head_of(X1))),
% 0.17/0.45 inference(resolution,[status(thm)],[f92,f124])).
% 0.17/0.45 fof(f171,plain,(
% 0.17/0.45 ![X0]: (~tail_of(X0)=tail_of(sk0_8)|~head_of(X0)=head_of(sk0_9))),
% 0.17/0.45 inference(resolution,[status(thm)],[f170,f125])).
% 0.17/0.45 fof(f172,plain,(
% 0.17/0.45 ~head_of(sk0_8)=head_of(sk0_9)),
% 0.17/0.45 inference(equality_resolution,[status(esa)],[f171])).
% 0.17/0.45 fof(f173,plain,(
% 0.17/0.45 spl0_5 <=> ~path(X0,X1,sk0_10)),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f174,plain,(
% 0.17/0.45 ![X0,X1]: (~path(X0,X1,sk0_10)|~spl0_5)),
% 0.17/0.45 inference(component_clause,[status(thm)],[f173])).
% 0.17/0.45 fof(f194,plain,(
% 0.17/0.45 $false|~spl0_5),
% 0.17/0.45 inference(backward_subsumption_resolution,[status(thm)],[f167,f174])).
% 0.17/0.45 fof(f195,plain,(
% 0.17/0.45 ~spl0_5),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f194])).
% 0.17/0.45 fof(f205,plain,(
% 0.17/0.45 ![X0,X1]: (X0=head_of(sk0_0(X1,X0))|~vertex(X0)|~vertex(X1)|X0=X1|X0=tail_of(sk0_0(X1,X0))|~spl0_3)),
% 0.17/0.45 inference(resolution,[status(thm)],[f129,f149])).
% 0.17/0.45 fof(f206,plain,(
% 0.17/0.45 ![X0,X1]: (X0=head_of(sk0_0(X1,X0))|~vertex(X0)|~vertex(X1)|X0=X1|X1=head_of(sk0_0(X1,X0))|~spl0_2)),
% 0.17/0.45 inference(resolution,[status(thm)],[f129,f145])).
% 0.17/0.45 fof(f212,plain,(
% 0.17/0.45 spl0_11 <=> vertex(head_of(sk0_9))),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f214,plain,(
% 0.17/0.45 ~vertex(head_of(sk0_9))|spl0_11),
% 0.17/0.45 inference(component_clause,[status(thm)],[f212])).
% 0.17/0.45 fof(f220,plain,(
% 0.17/0.45 spl0_13 <=> vertex(tail_of(sk0_8))),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f222,plain,(
% 0.17/0.45 ~vertex(tail_of(sk0_8))|spl0_13),
% 0.17/0.45 inference(component_clause,[status(thm)],[f220])).
% 0.17/0.45 fof(f225,plain,(
% 0.17/0.45 ~edge(sk0_9)|spl0_11),
% 0.17/0.45 inference(resolution,[status(thm)],[f214,f24])).
% 0.17/0.45 fof(f226,plain,(
% 0.17/0.45 ~edge(sk0_8)|spl0_13),
% 0.17/0.45 inference(resolution,[status(thm)],[f222,f25])).
% 0.17/0.45 fof(f227,plain,(
% 0.17/0.45 spl0_14 <=> X0=head_of(sk0_0(tail_of(sk0_8),X0))|~vertex(X0)|X0=tail_of(sk0_8)|~edge(sk0_0(tail_of(sk0_8),X0))|~tail_of(sk0_0(tail_of(sk0_8),X0))=head_of(sk0_9)),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f228,plain,(
% 0.17/0.45 ![X0]: (X0=head_of(sk0_0(tail_of(sk0_8),X0))|~vertex(X0)|X0=tail_of(sk0_8)|~edge(sk0_0(tail_of(sk0_8),X0))|~tail_of(sk0_0(tail_of(sk0_8),X0))=head_of(sk0_9)|~spl0_14)),
% 0.17/0.45 inference(component_clause,[status(thm)],[f227])).
% 0.17/0.45 fof(f230,plain,(
% 0.17/0.45 ![X0]: (X0=head_of(sk0_0(tail_of(sk0_8),X0))|~vertex(X0)|~vertex(tail_of(sk0_8))|X0=tail_of(sk0_8)|~edge(sk0_0(tail_of(sk0_8),X0))|~tail_of(sk0_0(tail_of(sk0_8),X0))=head_of(sk0_9)|~spl0_2)),
% 0.17/0.45 inference(resolution,[status(thm)],[f206,f126])).
% 0.17/0.45 fof(f231,plain,(
% 0.17/0.45 spl0_14|~spl0_13|~spl0_2),
% 0.17/0.45 inference(split_clause,[status(thm)],[f230,f227,f220,f144])).
% 0.17/0.45 fof(f243,plain,(
% 0.17/0.45 spl0_16 <=> edge(sk0_9)),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f245,plain,(
% 0.17/0.45 ~edge(sk0_9)|spl0_16),
% 0.17/0.45 inference(component_clause,[status(thm)],[f243])).
% 0.17/0.45 fof(f249,plain,(
% 0.17/0.45 ![X0,X1]: (X0=tail_of(sk0_0(X0,X1))|~vertex(X1)|~vertex(X0)|X1=X0|X1=tail_of(sk0_0(X0,X1))|~spl0_3)),
% 0.17/0.45 inference(resolution,[status(thm)],[f130,f149])).
% 0.17/0.45 fof(f250,plain,(
% 0.17/0.45 ![X0,X1]: (X0=tail_of(sk0_0(X0,X1))|~vertex(X1)|~vertex(X0)|X1=X0|X0=head_of(sk0_0(X0,X1))|~spl0_2)),
% 0.17/0.45 inference(resolution,[status(thm)],[f130,f145])).
% 0.17/0.45 fof(f270,plain,(
% 0.17/0.45 spl0_20 <=> ~vertex(X0)|X0=tail_of(sk0_8)|tail_of(sk0_8)=head_of(sk0_0(tail_of(sk0_8),X0))|~head_of(sk0_0(tail_of(sk0_8),X0))=head_of(sk0_9)),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f271,plain,(
% 0.17/0.45 ![X0]: (~vertex(X0)|X0=tail_of(sk0_8)|tail_of(sk0_8)=head_of(sk0_0(tail_of(sk0_8),X0))|~head_of(sk0_0(tail_of(sk0_8),X0))=head_of(sk0_9)|~spl0_20)),
% 0.17/0.45 inference(component_clause,[status(thm)],[f270])).
% 0.17/0.45 fof(f273,plain,(
% 0.17/0.45 ![X0]: (~vertex(X0)|~vertex(tail_of(sk0_8))|X0=tail_of(sk0_8)|tail_of(sk0_8)=head_of(sk0_0(tail_of(sk0_8),X0))|~head_of(sk0_0(tail_of(sk0_8),X0))=head_of(sk0_9)|~spl0_2)),
% 0.17/0.45 inference(resolution,[status(thm)],[f250,f171])).
% 0.17/0.45 fof(f274,plain,(
% 0.17/0.45 spl0_20|~spl0_13|~spl0_2),
% 0.17/0.45 inference(split_clause,[status(thm)],[f273,f270,f220,f144])).
% 0.17/0.45 fof(f284,plain,(
% 0.17/0.45 ![X0]: (~on_path(X0,sk0_10)|edge(X0))),
% 0.17/0.45 inference(resolution,[status(thm)],[f52,f167])).
% 0.17/0.45 fof(f290,plain,(
% 0.17/0.45 spl0_22 <=> on_path(sk0_8,sk0_10)),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f291,plain,(
% 0.17/0.45 on_path(sk0_8,sk0_10)|~spl0_22),
% 0.17/0.45 inference(component_clause,[status(thm)],[f290])).
% 0.17/0.45 fof(f293,plain,(
% 0.17/0.45 ![X0,X1]: (~path(X0,X1,sk0_10)|on_path(sk0_8,sk0_10))),
% 0.17/0.45 inference(resolution,[status(thm)],[f76,f125])).
% 0.17/0.45 fof(f294,plain,(
% 0.17/0.45 spl0_5|spl0_22),
% 0.17/0.45 inference(split_clause,[status(thm)],[f293,f173,f290])).
% 0.17/0.45 fof(f295,plain,(
% 0.17/0.45 edge(sk0_8)|~spl0_22),
% 0.17/0.45 inference(resolution,[status(thm)],[f291,f284])).
% 0.17/0.45 fof(f296,plain,(
% 0.17/0.45 $false|spl0_13|~spl0_22),
% 0.17/0.45 inference(forward_subsumption_resolution,[status(thm)],[f295,f226])).
% 0.17/0.45 fof(f297,plain,(
% 0.17/0.45 spl0_13|~spl0_22),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f296])).
% 0.17/0.45 fof(f298,plain,(
% 0.17/0.45 ![X0]: (~vertex(X0)|X0=tail_of(sk0_8)|~head_of(sk0_0(tail_of(sk0_8),X0))=head_of(sk0_9)|~edge(sk0_0(tail_of(sk0_8),X0))|~tail_of(sk0_0(tail_of(sk0_8),X0))=head_of(sk0_9)|~spl0_20)),
% 0.17/0.45 inference(resolution,[status(thm)],[f271,f126])).
% 0.17/0.45 fof(f302,plain,(
% 0.17/0.45 spl0_24 <=> edge(sk0_8)),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f304,plain,(
% 0.17/0.45 ~edge(sk0_8)|spl0_24),
% 0.17/0.45 inference(component_clause,[status(thm)],[f302])).
% 0.17/0.45 fof(f307,plain,(
% 0.17/0.45 $false|~spl0_22|spl0_24),
% 0.17/0.45 inference(forward_subsumption_resolution,[status(thm)],[f304,f295])).
% 0.17/0.45 fof(f308,plain,(
% 0.17/0.45 ~spl0_22|spl0_24),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f307])).
% 0.17/0.45 fof(f311,plain,(
% 0.17/0.45 spl0_25 <=> head_of(sk0_9)=head_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f314,plain,(
% 0.17/0.45 spl0_26 <=> head_of(sk0_9)=tail_of(sk0_8)),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f315,plain,(
% 0.17/0.45 head_of(sk0_9)=tail_of(sk0_8)|~spl0_26),
% 0.17/0.45 inference(component_clause,[status(thm)],[f314])).
% 0.17/0.45 fof(f317,plain,(
% 0.17/0.45 spl0_27 <=> edge(sk0_0(tail_of(sk0_8),head_of(sk0_9)))),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f319,plain,(
% 0.17/0.45 ~edge(sk0_0(tail_of(sk0_8),head_of(sk0_9)))|spl0_27),
% 0.17/0.45 inference(component_clause,[status(thm)],[f317])).
% 0.17/0.45 fof(f320,plain,(
% 0.17/0.45 spl0_28 <=> tail_of(sk0_8)=tail_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f321,plain,(
% 0.17/0.45 tail_of(sk0_8)=tail_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))|~spl0_28),
% 0.17/0.45 inference(component_clause,[status(thm)],[f320])).
% 0.17/0.45 fof(f325,plain,(
% 0.17/0.45 head_of(sk0_9)=head_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))|~vertex(head_of(sk0_9))|head_of(sk0_9)=tail_of(sk0_8)|~edge(sk0_0(tail_of(sk0_8),head_of(sk0_9)))|head_of(sk0_9)=head_of(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)|~spl0_14|~spl0_3),
% 0.17/0.45 inference(resolution,[status(thm)],[f228,f205])).
% 0.17/0.45 fof(f326,plain,(
% 0.17/0.45 spl0_25|~spl0_11|spl0_26|~spl0_27|~spl0_13|~spl0_14|~spl0_3),
% 0.17/0.45 inference(split_clause,[status(thm)],[f325,f311,f212,f314,f317,f220,f227,f148])).
% 0.17/0.45 fof(f329,plain,(
% 0.17/0.45 ~vertex(head_of(sk0_9))|head_of(sk0_9)=tail_of(sk0_8)|~head_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))=head_of(sk0_9)|~edge(sk0_0(tail_of(sk0_8),head_of(sk0_9)))|tail_of(sk0_8)=tail_of(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)|~spl0_20|~spl0_3),
% 0.17/0.45 inference(resolution,[status(thm)],[f298,f249])).
% 0.17/0.45 fof(f330,plain,(
% 0.17/0.45 ~spl0_11|spl0_26|~spl0_25|~spl0_27|spl0_28|~spl0_13|~spl0_20|~spl0_3),
% 0.17/0.45 inference(split_clause,[status(thm)],[f329,f212,f314,f311,f317,f320,f220,f270,f148])).
% 0.17/0.45 fof(f397,plain,(
% 0.17/0.45 spl0_42 <=> on_path(sk0_9,sk0_10)),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f398,plain,(
% 0.17/0.45 on_path(sk0_9,sk0_10)|~spl0_42),
% 0.17/0.45 inference(component_clause,[status(thm)],[f397])).
% 0.17/0.45 fof(f400,plain,(
% 0.17/0.45 ![X0,X1]: (~path(X0,X1,sk0_10)|on_path(sk0_9,sk0_10))),
% 0.17/0.45 inference(resolution,[status(thm)],[f77,f125])).
% 0.17/0.45 fof(f401,plain,(
% 0.17/0.45 spl0_5|spl0_42),
% 0.17/0.45 inference(split_clause,[status(thm)],[f400,f173,f397])).
% 0.17/0.45 fof(f402,plain,(
% 0.17/0.45 edge(sk0_9)|~spl0_42),
% 0.17/0.45 inference(resolution,[status(thm)],[f398,f284])).
% 0.17/0.45 fof(f403,plain,(
% 0.17/0.45 $false|spl0_11|~spl0_42),
% 0.17/0.45 inference(forward_subsumption_resolution,[status(thm)],[f402,f225])).
% 0.17/0.45 fof(f404,plain,(
% 0.17/0.45 spl0_11|~spl0_42),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f403])).
% 0.17/0.45 fof(f405,plain,(
% 0.17/0.45 $false|~spl0_42|spl0_16),
% 0.17/0.45 inference(forward_subsumption_resolution,[status(thm)],[f245,f402])).
% 0.17/0.45 fof(f406,plain,(
% 0.17/0.45 ~spl0_42|spl0_16),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f405])).
% 0.17/0.45 fof(f452,plain,(
% 0.17/0.45 spl0_43 <=> sequential(sk0_9,sk0_8)),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f455,plain,(
% 0.17/0.45 spl0_44 <=> sk0_9=sk0_8),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f456,plain,(
% 0.17/0.45 sk0_9=sk0_8|~spl0_44),
% 0.17/0.45 inference(component_clause,[status(thm)],[f455])).
% 0.17/0.45 fof(f458,plain,(
% 0.17/0.45 sequential(sk0_9,sk0_8)|~edge(sk0_9)|~edge(sk0_8)|sk0_9=sk0_8|~spl0_26),
% 0.17/0.45 inference(resolution,[status(thm)],[f315,f67])).
% 0.17/0.45 fof(f459,plain,(
% 0.17/0.45 spl0_43|~spl0_16|~spl0_24|spl0_44|~spl0_26),
% 0.17/0.45 inference(split_clause,[status(thm)],[f458,f452,f243,f302,f455,f314])).
% 0.17/0.45 fof(f508,plain,(
% 0.17/0.45 ~head_of(sk0_8)=head_of(sk0_8)|~spl0_44),
% 0.17/0.45 inference(backward_demodulation,[status(thm)],[f456,f172])).
% 0.17/0.45 fof(f509,plain,(
% 0.17/0.45 $false|~spl0_44),
% 0.17/0.45 inference(trivial_equality_resolution,[status(esa)],[f508])).
% 0.17/0.45 fof(f510,plain,(
% 0.17/0.45 ~spl0_44),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f509])).
% 0.17/0.45 fof(f547,plain,(
% 0.17/0.45 ~vertex(head_of(sk0_9))|~vertex(tail_of(sk0_8))|head_of(sk0_9)=tail_of(sk0_8)|spl0_27|~spl0_1),
% 0.17/0.45 inference(resolution,[status(thm)],[f319,f141])).
% 0.17/0.45 fof(f548,plain,(
% 0.17/0.45 ~spl0_11|~spl0_13|spl0_26|spl0_27|~spl0_1),
% 0.17/0.45 inference(split_clause,[status(thm)],[f547,f212,f220,f314,f317,f140])).
% 0.17/0.45 fof(f580,plain,(
% 0.17/0.45 spl0_54 <=> tail_of(sk0_8)=tail_of(sk0_8)),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f625,plain,(
% 0.17/0.45 spl0_62 <=> tail_of(sk0_8)=head_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f628,plain,(
% 0.17/0.45 tail_of(sk0_8)=tail_of(sk0_8)|~vertex(head_of(sk0_9))|~vertex(tail_of(sk0_8))|head_of(sk0_9)=tail_of(sk0_8)|tail_of(sk0_8)=head_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))|~spl0_2|~spl0_28),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f321,f250])).
% 0.17/0.45 fof(f629,plain,(
% 0.17/0.45 spl0_54|~spl0_11|~spl0_13|spl0_26|spl0_62|~spl0_2|~spl0_28),
% 0.17/0.45 inference(split_clause,[status(thm)],[f628,f580,f212,f220,f314,f625,f144,f320])).
% 0.17/0.45 fof(f635,plain,(
% 0.17/0.45 ~tail_of(sk0_8)=tail_of(sk0_8)|~head_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))=head_of(sk0_9)|~spl0_28),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f321,f171])).
% 0.17/0.45 fof(f636,plain,(
% 0.17/0.45 ~spl0_54|~spl0_25|~spl0_28),
% 0.17/0.45 inference(split_clause,[status(thm)],[f635,f580,f311,f320])).
% 0.17/0.45 fof(f669,plain,(
% 0.17/0.45 ~edge(sk0_0(tail_of(sk0_8),head_of(sk0_9)))|~head_of(sk0_0(tail_of(sk0_8),head_of(sk0_9)))=tail_of(sk0_8)|~spl0_28),
% 0.17/0.45 inference(paramodulation,[status(thm)],[f321,f22])).
% 0.17/0.45 fof(f670,plain,(
% 0.17/0.45 ~spl0_27|~spl0_62|~spl0_28),
% 0.17/0.45 inference(split_clause,[status(thm)],[f669,f317,f625,f320])).
% 0.17/0.45 fof(f816,plain,(
% 0.17/0.46 ![X0,X1]: (~path(X0,X1,sk0_10)|~on_path(sk0_9,sk0_10)|~on_path(sk0_8,sk0_10)|~sequential(sk0_9,sk0_8))),
% 0.17/0.46 inference(resolution,[status(thm)],[f70,f169])).
% 0.17/0.46 fof(f817,plain,(
% 0.17/0.46 spl0_5|~spl0_42|~spl0_22|~spl0_43),
% 0.17/0.46 inference(split_clause,[status(thm)],[f816,f173,f397,f290,f452])).
% 0.17/0.46 fof(f842,plain,(
% 0.17/0.46 $false),
% 0.17/0.46 inference(sat_refutation,[status(thm)],[f143,f147,f151,f163,f195,f231,f274,f294,f297,f308,f326,f330,f401,f404,f406,f459,f510,f548,f629,f636,f670,f817])).
% 0.17/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.46 % Elapsed time: 0.117213 seconds
% 0.17/0.46 % CPU time: 0.835906 seconds
% 0.17/0.46 % Total memory used: 65.782 MB
% 0.17/0.46 % Net memory used: 65.451 MB
%------------------------------------------------------------------------------