TSTP Solution File: GEO124+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO124+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 20:17:09 EDT 2024
% Result : Theorem 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO124+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:41:55 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.50 fof(f6,axiom,(
% 0.20/0.50 (! [C] :( closed(C)<=> ~ (? [P] : end_point(P,C) )) )),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f7,axiom,(
% 0.20/0.50 (! [C] :( open(C)<=> (? [P] : end_point(P,C) )) )),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f13,axiom,(
% 0.20/0.50 (! [C,P] :( end_point(P,C)=> (? [Q] :( end_point(Q,C)& P != Q ) )) )),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f17,axiom,(
% 0.20/0.50 (! [C,P,Q,R] :( between_c(C,P,Q,R)<=> ( P != R& (? [Cpp] :( part_of(Cpp,C)& end_point(P,Cpp)& end_point(R,Cpp)& inner_point(Q,Cpp) ) )) ) )),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f18,axiom,(
% 0.20/0.50 (! [O,P,Q,R] :( between_o(O,P,Q,R)<=> ( ( ordered_by(O,P,Q)& ordered_by(O,Q,R) )| ( ordered_by(O,R,Q)& ordered_by(O,Q,P) ) ) ) )),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f19,axiom,(
% 0.20/0.50 (! [P,O] :( start_point(P,O)<=> ( incident_o(P,O)& (! [Q] :( ( P != Q& incident_o(Q,O) )=> ordered_by(O,P,Q) ) )) ) )),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f21,axiom,(
% 0.20/0.50 (! [O,P,Q] :( ordered_by(O,P,Q)=> ( incident_o(P,O)& incident_o(Q,O) ) ) )),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f22,axiom,(
% 0.20/0.50 (! [O] :(? [C] :( open(C)& (! [P] :( incident_o(P,O)<=> incident_c(P,C) ) )) ))),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f23,axiom,(
% 0.20/0.50 (! [P,Q,R,O] :( between_o(O,P,Q,R)<=> (? [C] :( (! [P] :( incident_o(P,O)<=> incident_c(P,C) ))& between_c(C,P,Q,R) ) )) )),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f28,conjecture,(
% 0.20/0.50 (! [O,P,Q] :( ( start_point(P,O)& start_point(Q,O) )=> P = Q ) )),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f29,negated_conjecture,(
% 0.20/0.50 ~((! [O,P,Q] :( ( start_point(P,O)& start_point(Q,O) )=> P = Q ) ))),
% 0.20/0.50 inference(negated_conjecture,[status(cth)],[f28])).
% 0.20/0.50 fof(f74,plain,(
% 0.20/0.50 ![C]: (closed(C)<=>(![P]: ~end_point(P,C)))),
% 0.20/0.50 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.20/0.50 fof(f75,plain,(
% 0.20/0.50 ![C]: ((~closed(C)|(![P]: ~end_point(P,C)))&(closed(C)|(?[P]: end_point(P,C))))),
% 0.20/0.50 inference(NNF_transformation,[status(esa)],[f74])).
% 0.20/0.50 fof(f76,plain,(
% 0.20/0.50 (![C]: (~closed(C)|(![P]: ~end_point(P,C))))&(![C]: (closed(C)|(?[P]: end_point(P,C))))),
% 0.20/0.50 inference(miniscoping,[status(esa)],[f75])).
% 0.20/0.50 fof(f77,plain,(
% 0.20/0.50 (![C]: (~closed(C)|(![P]: ~end_point(P,C))))&(![C]: (closed(C)|end_point(sk0_5(C),C)))),
% 0.20/0.50 inference(skolemization,[status(esa)],[f76])).
% 0.20/0.50 fof(f78,plain,(
% 0.20/0.50 ![X0,X1]: (~closed(X0)|~end_point(X1,X0))),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f77])).
% 0.20/0.50 fof(f80,plain,(
% 0.20/0.50 ![C]: ((~open(C)|(?[P]: end_point(P,C)))&(open(C)|(![P]: ~end_point(P,C))))),
% 0.20/0.50 inference(NNF_transformation,[status(esa)],[f7])).
% 0.20/0.50 fof(f81,plain,(
% 0.20/0.50 (![C]: (~open(C)|(?[P]: end_point(P,C))))&(![C]: (open(C)|(![P]: ~end_point(P,C))))),
% 0.20/0.50 inference(miniscoping,[status(esa)],[f80])).
% 0.20/0.50 fof(f82,plain,(
% 0.20/0.50 (![C]: (~open(C)|end_point(sk0_6(C),C)))&(![C]: (open(C)|(![P]: ~end_point(P,C))))),
% 0.20/0.50 inference(skolemization,[status(esa)],[f81])).
% 0.20/0.50 fof(f83,plain,(
% 0.20/0.50 ![X0]: (~open(X0)|end_point(sk0_6(X0),X0))),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f82])).
% 0.20/0.50 fof(f100,plain,(
% 0.20/0.50 ![C,P]: (~end_point(P,C)|(?[Q]: (end_point(Q,C)&~P=Q)))),
% 0.20/0.50 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.20/0.50 fof(f101,plain,(
% 0.20/0.50 ![C,P]: (~end_point(P,C)|(end_point(sk0_10(P,C),C)&~P=sk0_10(P,C)))),
% 0.20/0.50 inference(skolemization,[status(esa)],[f100])).
% 0.20/0.50 fof(f102,plain,(
% 0.20/0.50 ![X0,X1]: (~end_point(X0,X1)|end_point(sk0_10(X0,X1),X1))),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f101])).
% 0.20/0.50 fof(f115,plain,(
% 0.20/0.50 ![C,P,Q,R]: ((~between_c(C,P,Q,R)|(~P=R&(?[Cpp]: (((part_of(Cpp,C)&end_point(P,Cpp))&end_point(R,Cpp))&inner_point(Q,Cpp)))))&(between_c(C,P,Q,R)|(P=R|(![Cpp]: (((~part_of(Cpp,C)|~end_point(P,Cpp))|~end_point(R,Cpp))|~inner_point(Q,Cpp))))))),
% 0.20/0.50 inference(NNF_transformation,[status(esa)],[f17])).
% 0.20/0.50 fof(f116,plain,(
% 0.20/0.50 (![C,P,Q,R]: (~between_c(C,P,Q,R)|(~P=R&(?[Cpp]: (((part_of(Cpp,C)&end_point(P,Cpp))&end_point(R,Cpp))&inner_point(Q,Cpp))))))&(![C,P,Q,R]: (between_c(C,P,Q,R)|(P=R|(![Cpp]: (((~part_of(Cpp,C)|~end_point(P,Cpp))|~end_point(R,Cpp))|~inner_point(Q,Cpp))))))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f115])).
% 0.20/0.51 fof(f117,plain,(
% 0.20/0.51 (![C,P,Q,R]: (~between_c(C,P,Q,R)|(~P=R&(((part_of(sk0_13(R,Q,P,C),C)&end_point(P,sk0_13(R,Q,P,C)))&end_point(R,sk0_13(R,Q,P,C)))&inner_point(Q,sk0_13(R,Q,P,C))))))&(![C,P,Q,R]: (between_c(C,P,Q,R)|(P=R|(![Cpp]: (((~part_of(Cpp,C)|~end_point(P,Cpp))|~end_point(R,Cpp))|~inner_point(Q,Cpp))))))),
% 0.20/0.51 inference(skolemization,[status(esa)],[f116])).
% 0.20/0.51 fof(f118,plain,(
% 0.20/0.51 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|~X1=X3)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f117])).
% 0.20/0.51 fof(f124,plain,(
% 0.20/0.51 ![O,P,Q,R]: ((~between_o(O,P,Q,R)|((ordered_by(O,P,Q)&ordered_by(O,Q,R))|(ordered_by(O,R,Q)&ordered_by(O,Q,P))))&(between_o(O,P,Q,R)|((~ordered_by(O,P,Q)|~ordered_by(O,Q,R))&(~ordered_by(O,R,Q)|~ordered_by(O,Q,P)))))),
% 0.20/0.51 inference(NNF_transformation,[status(esa)],[f18])).
% 0.20/0.51 fof(f125,plain,(
% 0.20/0.51 (![O,P,Q,R]: (~between_o(O,P,Q,R)|((ordered_by(O,P,Q)&ordered_by(O,Q,R))|(ordered_by(O,R,Q)&ordered_by(O,Q,P)))))&(![O,P,Q,R]: (between_o(O,P,Q,R)|((~ordered_by(O,P,Q)|~ordered_by(O,Q,R))&(~ordered_by(O,R,Q)|~ordered_by(O,Q,P)))))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f124])).
% 0.20/0.51 fof(f131,plain,(
% 0.20/0.51 ![X0,X1,X2,X3]: (between_o(X0,X1,X2,X3)|~ordered_by(X0,X3,X2)|~ordered_by(X0,X2,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f125])).
% 0.20/0.51 fof(f132,plain,(
% 0.20/0.51 ![P,O]: (start_point(P,O)<=>(incident_o(P,O)&(![Q]: ((P=Q|~incident_o(Q,O))|ordered_by(O,P,Q)))))),
% 0.20/0.51 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.20/0.51 fof(f133,plain,(
% 0.20/0.51 ![P,O]: ((~start_point(P,O)|(incident_o(P,O)&(![Q]: ((P=Q|~incident_o(Q,O))|ordered_by(O,P,Q)))))&(start_point(P,O)|(~incident_o(P,O)|(?[Q]: ((~P=Q&incident_o(Q,O))&~ordered_by(O,P,Q))))))),
% 0.20/0.51 inference(NNF_transformation,[status(esa)],[f132])).
% 0.20/0.51 fof(f134,plain,(
% 0.20/0.51 (![P,O]: (~start_point(P,O)|(incident_o(P,O)&(![Q]: ((P=Q|~incident_o(Q,O))|ordered_by(O,P,Q))))))&(![P,O]: (start_point(P,O)|(~incident_o(P,O)|(?[Q]: ((~P=Q&incident_o(Q,O))&~ordered_by(O,P,Q))))))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f133])).
% 0.20/0.51 fof(f135,plain,(
% 0.20/0.51 (![P,O]: (~start_point(P,O)|(incident_o(P,O)&(![Q]: ((P=Q|~incident_o(Q,O))|ordered_by(O,P,Q))))))&(![P,O]: (start_point(P,O)|(~incident_o(P,O)|((~P=sk0_14(O,P)&incident_o(sk0_14(O,P),O))&~ordered_by(O,P,sk0_14(O,P))))))),
% 0.20/0.51 inference(skolemization,[status(esa)],[f134])).
% 0.20/0.51 fof(f136,plain,(
% 0.20/0.51 ![X0,X1]: (~start_point(X0,X1)|incident_o(X0,X1))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f135])).
% 0.20/0.51 fof(f137,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~start_point(X0,X1)|X0=X2|~incident_o(X2,X1)|ordered_by(X1,X0,X2))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f135])).
% 0.20/0.51 fof(f150,plain,(
% 0.20/0.51 ![O,P,Q]: (~ordered_by(O,P,Q)|(incident_o(P,O)&incident_o(Q,O)))),
% 0.20/0.51 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.20/0.51 fof(f151,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~ordered_by(X0,X1,X2)|incident_o(X1,X0))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f150])).
% 0.20/0.51 fof(f153,plain,(
% 0.20/0.51 ![O]: ?[C]: (open(C)&(![P]: ((~incident_o(P,O)|incident_c(P,C))&(incident_o(P,O)|~incident_c(P,C)))))),
% 0.20/0.51 inference(NNF_transformation,[status(esa)],[f22])).
% 0.20/0.51 fof(f154,plain,(
% 0.20/0.51 ![O]: ?[C]: (open(C)&((![P]: (~incident_o(P,O)|incident_c(P,C)))&(![P]: (incident_o(P,O)|~incident_c(P,C)))))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f153])).
% 0.20/0.51 fof(f155,plain,(
% 0.20/0.51 ![O]: (open(sk0_16(O))&((![P]: (~incident_o(P,O)|incident_c(P,sk0_16(O))))&(![P]: (incident_o(P,O)|~incident_c(P,sk0_16(O))))))),
% 0.20/0.51 inference(skolemization,[status(esa)],[f154])).
% 0.20/0.51 fof(f156,plain,(
% 0.20/0.51 ![X0]: (open(sk0_16(X0)))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f155])).
% 0.20/0.51 fof(f159,plain,(
% 0.20/0.51 ![P,Q,R,O]: ((~between_o(O,P,Q,R)|(?[C]: ((![P]: ((~incident_o(P,O)|incident_c(P,C))&(incident_o(P,O)|~incident_c(P,C))))&between_c(C,P,Q,R))))&(between_o(O,P,Q,R)|(![C]: ((?[P]: ((~incident_o(P,O)|~incident_c(P,C))&(incident_o(P,O)|incident_c(P,C))))|~between_c(C,P,Q,R)))))),
% 0.20/0.51 inference(NNF_transformation,[status(esa)],[f23])).
% 0.20/0.51 fof(f160,plain,(
% 0.20/0.51 (![P,Q,R,O]: (~between_o(O,P,Q,R)|(?[C]: (((![P]: (~incident_o(P,O)|incident_c(P,C)))&(![P]: (incident_o(P,O)|~incident_c(P,C))))&between_c(C,P,Q,R)))))&(![P,Q,R,O]: (between_o(O,P,Q,R)|(![C]: ((?[P]: ((~incident_o(P,O)|~incident_c(P,C))&(incident_o(P,O)|incident_c(P,C))))|~between_c(C,P,Q,R)))))),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f159])).
% 0.20/0.51 fof(f161,plain,(
% 0.20/0.51 (![P,Q,R,O]: (~between_o(O,P,Q,R)|(((![P]: (~incident_o(P,O)|incident_c(P,sk0_17(O,R,Q,P))))&(![P]: (incident_o(P,O)|~incident_c(P,sk0_17(O,R,Q,P)))))&between_c(sk0_17(O,R,Q,P),P,Q,R))))&(![P,Q,R,O]: (between_o(O,P,Q,R)|(![C]: (((~incident_o(sk0_18(C,O,R,Q,P),O)|~incident_c(sk0_18(C,O,R,Q,P),C))&(incident_o(sk0_18(C,O,R,Q,P),O)|incident_c(sk0_18(C,O,R,Q,P),C)))|~between_c(C,P,Q,R)))))),
% 0.20/0.51 inference(skolemization,[status(esa)],[f160])).
% 0.20/0.51 fof(f164,plain,(
% 0.20/0.51 ![X0,X1,X2,X3]: (~between_o(X0,X1,X2,X3)|between_c(sk0_17(X0,X3,X2,X1),X1,X2,X3))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f161])).
% 0.20/0.51 fof(f188,plain,(
% 0.20/0.51 (?[O,P,Q]: ((start_point(P,O)&start_point(Q,O))&~P=Q))),
% 0.20/0.51 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 0.20/0.51 fof(f189,plain,(
% 0.20/0.51 ?[P,Q]: ((?[O]: (start_point(P,O)&start_point(Q,O)))&~P=Q)),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f188])).
% 0.20/0.51 fof(f190,plain,(
% 0.20/0.51 ((start_point(sk0_24,sk0_26)&start_point(sk0_25,sk0_26))&~sk0_24=sk0_25)),
% 0.20/0.51 inference(skolemization,[status(esa)],[f189])).
% 0.20/0.51 fof(f191,plain,(
% 0.20/0.51 start_point(sk0_24,sk0_26)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f190])).
% 0.20/0.51 fof(f192,plain,(
% 0.20/0.51 start_point(sk0_25,sk0_26)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f190])).
% 0.20/0.51 fof(f193,plain,(
% 0.20/0.51 ~sk0_24=sk0_25),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f190])).
% 0.20/0.51 fof(f198,plain,(
% 0.20/0.51 ![X0,X1,X2]: (~between_c(X0,X1,X2,X1))),
% 0.20/0.51 inference(destructive_equality_resolution,[status(esa)],[f118])).
% 0.20/0.51 fof(f212,plain,(
% 0.20/0.51 ![X0]: (end_point(sk0_6(sk0_16(X0)),sk0_16(X0)))),
% 0.20/0.51 inference(resolution,[status(thm)],[f83,f156])).
% 0.20/0.51 fof(f280,plain,(
% 0.20/0.51 ![X0]: (end_point(sk0_10(sk0_6(sk0_16(X0)),sk0_16(X0)),sk0_16(X0)))),
% 0.20/0.51 inference(resolution,[status(thm)],[f102,f212])).
% 0.20/0.51 fof(f604,plain,(
% 0.20/0.51 ![X0,X1,X2,X3]: (between_o(X0,X1,X2,X3)|~ordered_by(X0,X2,X1)|~start_point(X3,X0)|X3=X2|~incident_o(X2,X0))),
% 0.20/0.51 inference(resolution,[status(thm)],[f131,f137])).
% 0.20/0.51 fof(f605,plain,(
% 0.20/0.51 ![X0,X1,X2,X3]: (between_o(X0,X1,X2,X3)|~ordered_by(X0,X2,X1)|~start_point(X3,X0)|X3=X2)),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f604,f151])).
% 0.20/0.51 fof(f621,plain,(
% 0.20/0.51 ![X0,X1,X2,X3]: (between_o(X0,X1,X2,X3)|~start_point(X3,X0)|X3=X2|~start_point(X2,X0)|X2=X1|~incident_o(X1,X0))),
% 0.20/0.51 inference(resolution,[status(thm)],[f605,f137])).
% 0.20/0.51 fof(f625,plain,(
% 0.20/0.51 ![X0,X1]: (between_o(sk0_26,X0,X1,sk0_25)|sk0_25=X1|~start_point(X1,sk0_26)|X1=X0|~incident_o(X0,sk0_26))),
% 0.20/0.51 inference(resolution,[status(thm)],[f621,f192])).
% 0.20/0.51 fof(f643,plain,(
% 0.20/0.51 spl0_4 <=> between_o(sk0_26,X0,sk0_24,sk0_25)|sk0_24=X0|~incident_o(X0,sk0_26)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f644,plain,(
% 0.20/0.51 ![X0]: (between_o(sk0_26,X0,sk0_24,sk0_25)|sk0_24=X0|~incident_o(X0,sk0_26)|~spl0_4)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f643])).
% 0.20/0.51 fof(f646,plain,(
% 0.20/0.51 spl0_5 <=> sk0_25=sk0_24),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f647,plain,(
% 0.20/0.51 sk0_25=sk0_24|~spl0_5),
% 0.20/0.51 inference(component_clause,[status(thm)],[f646])).
% 0.20/0.51 fof(f649,plain,(
% 0.20/0.51 ![X0]: (between_o(sk0_26,X0,sk0_24,sk0_25)|sk0_25=sk0_24|sk0_24=X0|~incident_o(X0,sk0_26))),
% 0.20/0.51 inference(resolution,[status(thm)],[f625,f191])).
% 0.20/0.51 fof(f650,plain,(
% 0.20/0.51 spl0_4|spl0_5),
% 0.20/0.51 inference(split_clause,[status(thm)],[f649,f643,f646])).
% 0.20/0.51 fof(f653,plain,(
% 0.20/0.51 ![X0]: (sk0_24=X0|~incident_o(X0,sk0_26)|between_c(sk0_17(sk0_26,sk0_25,sk0_24,X0),X0,sk0_24,sk0_25)|~spl0_4)),
% 0.20/0.51 inference(resolution,[status(thm)],[f644,f164])).
% 0.20/0.51 fof(f679,plain,(
% 0.20/0.51 spl0_12 <=> start_point(sk0_25,sk0_26)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f681,plain,(
% 0.20/0.51 ~start_point(sk0_25,sk0_26)|spl0_12),
% 0.20/0.51 inference(component_clause,[status(thm)],[f679])).
% 0.20/0.51 fof(f689,plain,(
% 0.20/0.51 $false|spl0_12),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f681,f192])).
% 0.20/0.51 fof(f690,plain,(
% 0.20/0.51 spl0_12),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f689])).
% 0.20/0.51 fof(f722,plain,(
% 0.20/0.51 spl0_18 <=> closed(sk0_16(sk0_26))),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f723,plain,(
% 0.20/0.51 closed(sk0_16(sk0_26))|~spl0_18),
% 0.20/0.51 inference(component_clause,[status(thm)],[f722])).
% 0.20/0.51 fof(f740,plain,(
% 0.20/0.51 $false|~spl0_5),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f647,f193])).
% 0.20/0.51 fof(f741,plain,(
% 0.20/0.51 ~spl0_5),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f740])).
% 0.20/0.51 fof(f743,plain,(
% 0.20/0.51 ![X0]: (~end_point(X0,sk0_16(sk0_26))|~spl0_18)),
% 0.20/0.51 inference(resolution,[status(thm)],[f723,f78])).
% 0.20/0.51 fof(f791,plain,(
% 0.20/0.51 $false|~spl0_18),
% 0.20/0.51 inference(resolution,[status(thm)],[f743,f280])).
% 0.20/0.51 fof(f792,plain,(
% 0.20/0.51 ~spl0_18),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f791])).
% 0.20/0.51 fof(f818,plain,(
% 0.20/0.51 spl0_27 <=> incident_o(sk0_25,sk0_26)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f820,plain,(
% 0.20/0.51 ~incident_o(sk0_25,sk0_26)|spl0_27),
% 0.20/0.51 inference(component_clause,[status(thm)],[f818])).
% 0.20/0.51 fof(f1568,plain,(
% 0.20/0.51 sk0_24=sk0_25|~incident_o(sk0_25,sk0_26)|~spl0_4),
% 0.20/0.51 inference(resolution,[status(thm)],[f653,f198])).
% 0.20/0.51 fof(f1569,plain,(
% 0.20/0.51 spl0_5|~spl0_27|~spl0_4),
% 0.20/0.51 inference(split_clause,[status(thm)],[f1568,f646,f818,f643])).
% 0.20/0.51 fof(f1575,plain,(
% 0.20/0.51 ~start_point(sk0_25,sk0_26)|spl0_27),
% 0.20/0.51 inference(resolution,[status(thm)],[f820,f136])).
% 0.20/0.51 fof(f1576,plain,(
% 0.20/0.51 ~spl0_12|spl0_27),
% 0.20/0.51 inference(split_clause,[status(thm)],[f1575,f679,f818])).
% 0.20/0.51 fof(f1577,plain,(
% 0.20/0.51 $false),
% 0.20/0.51 inference(sat_refutation,[status(thm)],[f650,f690,f741,f792,f1569,f1576])).
% 0.20/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.51 % Elapsed time: 0.149211 seconds
% 0.20/0.51 % CPU time: 1.029463 seconds
% 0.20/0.51 % Total memory used: 63.656 MB
% 0.20/0.51 % Net memory used: 63.216 MB
%------------------------------------------------------------------------------