TSTP Solution File: GEO089+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO089+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : Tue Apr 30 20:17:04 EDT 2024
% Result : Theorem 45.39s 6.08s
% Output : CNFRefutation 45.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO089+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30 % Computer : n026.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Tue Apr 30 01:48:04 EDT 2024
% 0.08/0.31 % CPUTime :
% 0.14/0.31 % Drodi V3.6.0
% 45.39/6.08 % Refutation found
% 45.39/6.08 % SZS status Theorem for theBenchmark: Theorem is valid
% 45.39/6.08 % SZS output start CNFRefutation for theBenchmark
% 45.39/6.08 fof(f1,axiom,(
% 45.39/6.08 (! [C,C1] :( part_of(C1,C)<=> (! [P] :( incident_c(P,C1)=> incident_c(P,C) ) )) )),
% 45.39/6.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.39/6.08 fof(f3,axiom,(
% 45.39/6.08 (! [P,C] :( end_point(P,C)<=> ( incident_c(P,C)& (! [C1,C2] :( ( part_of(C1,C)& part_of(C2,C)& incident_c(P,C1)& incident_c(P,C2) )=> ( part_of(C1,C2)| part_of(C2,C1) ) ) )) ) )),
% 45.39/6.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.39/6.08 fof(f4,axiom,(
% 45.39/6.08 (! [P,C] :( inner_point(P,C)<=> ( incident_c(P,C)& ~ end_point(P,C) ) ) )),
% 45.39/6.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.39/6.08 fof(f10,axiom,(
% 45.39/6.08 (! [C] :(? [P] : inner_point(P,C) ))),
% 45.39/6.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.39/6.08 fof(f17,conjecture,(
% 45.39/6.08 (! [C,P] :( (? [Cpp] :( part_of(Cpp,C)& inner_point(P,Cpp) ))=> inner_point(P,C) ) )),
% 45.39/6.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.39/6.08 fof(f18,negated_conjecture,(
% 45.39/6.08 ~((! [C,P] :( (? [Cpp] :( part_of(Cpp,C)& inner_point(P,Cpp) ))=> inner_point(P,C) ) ))),
% 45.39/6.08 inference(negated_conjecture,[status(cth)],[f17])).
% 45.39/6.08 fof(f19,plain,(
% 45.39/6.08 ![C,C1]: (part_of(C1,C)<=>(![P]: (~incident_c(P,C1)|incident_c(P,C))))),
% 45.39/6.08 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 45.39/6.08 fof(f20,plain,(
% 45.39/6.08 ![C,C1]: ((~part_of(C1,C)|(![P]: (~incident_c(P,C1)|incident_c(P,C))))&(part_of(C1,C)|(?[P]: (incident_c(P,C1)&~incident_c(P,C)))))),
% 45.39/6.08 inference(NNF_transformation,[status(esa)],[f19])).
% 45.39/6.08 fof(f21,plain,(
% 45.39/6.08 (![C,C1]: (~part_of(C1,C)|(![P]: (~incident_c(P,C1)|incident_c(P,C)))))&(![C,C1]: (part_of(C1,C)|(?[P]: (incident_c(P,C1)&~incident_c(P,C)))))),
% 45.39/6.08 inference(miniscoping,[status(esa)],[f20])).
% 45.39/6.08 fof(f22,plain,(
% 45.39/6.08 (![C,C1]: (~part_of(C1,C)|(![P]: (~incident_c(P,C1)|incident_c(P,C)))))&(![C,C1]: (part_of(C1,C)|(incident_c(sk0_0(C1,C),C1)&~incident_c(sk0_0(C1,C),C))))),
% 45.39/6.08 inference(skolemization,[status(esa)],[f21])).
% 45.39/6.08 fof(f23,plain,(
% 45.39/6.08 ![X0,X1,X2]: (~part_of(X0,X1)|~incident_c(X2,X0)|incident_c(X2,X1))),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f22])).
% 45.39/6.08 fof(f24,plain,(
% 45.39/6.08 ![X0,X1]: (part_of(X0,X1)|incident_c(sk0_0(X0,X1),X0))),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f22])).
% 45.39/6.08 fof(f25,plain,(
% 45.39/6.08 ![X0,X1]: (part_of(X0,X1)|~incident_c(sk0_0(X0,X1),X1))),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f22])).
% 45.39/6.08 fof(f35,plain,(
% 45.39/6.08 ![P,C]: (end_point(P,C)<=>(incident_c(P,C)&(![C1,C2]: ((((~part_of(C1,C)|~part_of(C2,C))|~incident_c(P,C1))|~incident_c(P,C2))|(part_of(C1,C2)|part_of(C2,C1))))))),
% 45.39/6.08 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 45.39/6.08 fof(f36,plain,(
% 45.39/6.08 ![P,C]: ((~end_point(P,C)|(incident_c(P,C)&(![C1,C2]: ((((~part_of(C1,C)|~part_of(C2,C))|~incident_c(P,C1))|~incident_c(P,C2))|(part_of(C1,C2)|part_of(C2,C1))))))&(end_point(P,C)|(~incident_c(P,C)|(?[C1,C2]: ((((part_of(C1,C)&part_of(C2,C))&incident_c(P,C1))&incident_c(P,C2))&(~part_of(C1,C2)&~part_of(C2,C1)))))))),
% 45.39/6.08 inference(NNF_transformation,[status(esa)],[f35])).
% 45.39/6.08 fof(f37,plain,(
% 45.39/6.08 (![P,C]: (~end_point(P,C)|(incident_c(P,C)&(![C1,C2]: ((((~part_of(C1,C)|~part_of(C2,C))|~incident_c(P,C1))|~incident_c(P,C2))|(part_of(C1,C2)|part_of(C2,C1)))))))&(![P,C]: (end_point(P,C)|(~incident_c(P,C)|(?[C1,C2]: ((((part_of(C1,C)&part_of(C2,C))&incident_c(P,C1))&incident_c(P,C2))&(~part_of(C1,C2)&~part_of(C2,C1)))))))),
% 45.39/6.08 inference(miniscoping,[status(esa)],[f36])).
% 45.39/6.08 fof(f38,plain,(
% 45.39/6.08 (![P,C]: (~end_point(P,C)|(incident_c(P,C)&(![C1,C2]: ((((~part_of(C1,C)|~part_of(C2,C))|~incident_c(P,C1))|~incident_c(P,C2))|(part_of(C1,C2)|part_of(C2,C1)))))))&(![P,C]: (end_point(P,C)|(~incident_c(P,C)|((((part_of(sk0_2(C,P),C)&part_of(sk0_3(C,P),C))&incident_c(P,sk0_2(C,P)))&incident_c(P,sk0_3(C,P)))&(~part_of(sk0_2(C,P),sk0_3(C,P))&~part_of(sk0_3(C,P),sk0_2(C,P)))))))),
% 45.39/6.08 inference(skolemization,[status(esa)],[f37])).
% 45.39/6.08 fof(f40,plain,(
% 45.39/6.08 ![X0,X1,X2,X3]: (~end_point(X0,X1)|~part_of(X2,X1)|~part_of(X3,X1)|~incident_c(X0,X2)|~incident_c(X0,X3)|part_of(X2,X3)|part_of(X3,X2))),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f38])).
% 45.39/6.08 fof(f41,plain,(
% 45.39/6.08 ![X0,X1]: (end_point(X0,X1)|~incident_c(X0,X1)|part_of(sk0_2(X1,X0),X1))),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f38])).
% 45.39/6.08 fof(f42,plain,(
% 45.39/6.08 ![X0,X1]: (end_point(X0,X1)|~incident_c(X0,X1)|part_of(sk0_3(X1,X0),X1))),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f38])).
% 45.39/6.08 fof(f43,plain,(
% 45.39/6.08 ![X0,X1]: (end_point(X0,X1)|~incident_c(X0,X1)|incident_c(X0,sk0_2(X1,X0)))),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f38])).
% 45.39/6.08 fof(f44,plain,(
% 45.39/6.08 ![X0,X1]: (end_point(X0,X1)|~incident_c(X0,X1)|incident_c(X0,sk0_3(X1,X0)))),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f38])).
% 45.39/6.08 fof(f45,plain,(
% 45.39/6.08 ![X0,X1]: (end_point(X0,X1)|~incident_c(X0,X1)|~part_of(sk0_2(X1,X0),sk0_3(X1,X0)))),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f38])).
% 45.39/6.08 fof(f46,plain,(
% 45.39/6.08 ![X0,X1]: (end_point(X0,X1)|~incident_c(X0,X1)|~part_of(sk0_3(X1,X0),sk0_2(X1,X0)))),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f38])).
% 45.39/6.08 fof(f47,plain,(
% 45.39/6.08 ![P,C]: ((~inner_point(P,C)|(incident_c(P,C)&~end_point(P,C)))&(inner_point(P,C)|(~incident_c(P,C)|end_point(P,C))))),
% 45.39/6.08 inference(NNF_transformation,[status(esa)],[f4])).
% 45.39/6.08 fof(f48,plain,(
% 45.39/6.08 (![P,C]: (~inner_point(P,C)|(incident_c(P,C)&~end_point(P,C))))&(![P,C]: (inner_point(P,C)|(~incident_c(P,C)|end_point(P,C))))),
% 45.39/6.08 inference(miniscoping,[status(esa)],[f47])).
% 45.39/6.08 fof(f49,plain,(
% 45.39/6.08 ![X0,X1]: (~inner_point(X0,X1)|incident_c(X0,X1))),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f48])).
% 45.39/6.08 fof(f50,plain,(
% 45.39/6.08 ![X0,X1]: (~inner_point(X0,X1)|~end_point(X0,X1))),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f48])).
% 45.39/6.08 fof(f51,plain,(
% 45.39/6.08 ![X0,X1]: (inner_point(X0,X1)|~incident_c(X0,X1)|end_point(X0,X1))),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f48])).
% 45.39/6.08 fof(f80,plain,(
% 45.39/6.08 ![C]: inner_point(sk0_7(C),C)),
% 45.39/6.08 inference(skolemization,[status(esa)],[f10])).
% 45.39/6.08 fof(f81,plain,(
% 45.39/6.08 ![X0]: (inner_point(sk0_7(X0),X0))),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f80])).
% 45.39/6.08 fof(f104,plain,(
% 45.39/6.08 (?[C,P]: ((?[Cpp]: (part_of(Cpp,C)&inner_point(P,Cpp)))&~inner_point(P,C)))),
% 45.39/6.08 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 45.39/6.08 fof(f105,plain,(
% 45.39/6.08 ((part_of(sk0_15,sk0_13)&inner_point(sk0_14,sk0_15))&~inner_point(sk0_14,sk0_13))),
% 45.39/6.08 inference(skolemization,[status(esa)],[f104])).
% 45.39/6.08 fof(f106,plain,(
% 45.39/6.08 part_of(sk0_15,sk0_13)),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f105])).
% 45.39/6.08 fof(f107,plain,(
% 45.39/6.08 inner_point(sk0_14,sk0_15)),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f105])).
% 45.39/6.08 fof(f108,plain,(
% 45.39/6.08 ~inner_point(sk0_14,sk0_13)),
% 45.39/6.08 inference(cnf_transformation,[status(esa)],[f105])).
% 45.39/6.08 fof(f109,plain,(
% 45.39/6.08 incident_c(sk0_14,sk0_15)),
% 45.39/6.08 inference(resolution,[status(thm)],[f49,f107])).
% 45.39/6.08 fof(f110,plain,(
% 45.39/6.08 ![X0]: (~part_of(sk0_15,X0)|incident_c(sk0_14,X0))),
% 45.39/6.08 inference(resolution,[status(thm)],[f23,f109])).
% 45.39/6.08 fof(f114,plain,(
% 45.39/6.08 spl0_1 <=> end_point(sk0_14,sk0_15)),
% 45.39/6.08 introduced(split_symbol_definition)).
% 45.39/6.08 fof(f115,plain,(
% 45.39/6.08 end_point(sk0_14,sk0_15)|~spl0_1),
% 45.39/6.08 inference(component_clause,[status(thm)],[f114])).
% 45.39/6.08 fof(f119,plain,(
% 45.39/6.08 ~end_point(sk0_14,sk0_15)),
% 45.39/6.08 inference(resolution,[status(thm)],[f50,f107])).
% 45.39/6.08 fof(f120,plain,(
% 45.39/6.08 incident_c(sk0_14,sk0_13)),
% 45.39/6.08 inference(resolution,[status(thm)],[f110,f106])).
% 45.39/6.08 fof(f121,plain,(
% 45.39/6.08 spl0_2 <=> inner_point(sk0_14,sk0_13)),
% 45.39/6.08 introduced(split_symbol_definition)).
% 45.39/6.08 fof(f122,plain,(
% 45.39/6.08 inner_point(sk0_14,sk0_13)|~spl0_2),
% 45.39/6.08 inference(component_clause,[status(thm)],[f121])).
% 45.39/6.08 fof(f124,plain,(
% 45.39/6.08 spl0_3 <=> end_point(sk0_14,sk0_13)),
% 45.39/6.08 introduced(split_symbol_definition)).
% 45.39/6.08 fof(f125,plain,(
% 45.39/6.08 end_point(sk0_14,sk0_13)|~spl0_3),
% 45.39/6.08 inference(component_clause,[status(thm)],[f124])).
% 45.39/6.08 fof(f127,plain,(
% 45.39/6.08 inner_point(sk0_14,sk0_13)|end_point(sk0_14,sk0_13)),
% 45.39/6.08 inference(resolution,[status(thm)],[f120,f51])).
% 45.39/6.08 fof(f128,plain,(
% 45.39/6.08 spl0_2|spl0_3),
% 45.39/6.08 inference(split_clause,[status(thm)],[f127,f121,f124])).
% 45.39/6.08 fof(f130,plain,(
% 45.39/6.08 $false|~spl0_2),
% 45.39/6.08 inference(forward_subsumption_resolution,[status(thm)],[f122,f108])).
% 45.39/6.08 fof(f131,plain,(
% 45.39/6.08 ~spl0_2),
% 45.39/6.08 inference(contradiction_clause,[status(thm)],[f130])).
% 45.39/6.08 fof(f144,plain,(
% 45.39/6.08 ![X0,X1,X2]: (part_of(X0,X1)|~part_of(X0,X2)|incident_c(sk0_0(X0,X1),X2))),
% 45.39/6.08 inference(resolution,[status(thm)],[f24,f23])).
% 45.39/6.08 fof(f150,plain,(
% 45.39/6.08 ![X0]: (~end_point(sk0_7(X0),X0))),
% 45.39/6.08 inference(resolution,[status(thm)],[f81,f50])).
% 45.39/6.08 fof(f227,plain,(
% 45.39/6.08 ![X0,X1]: (~part_of(X0,sk0_13)|~part_of(X1,sk0_13)|~incident_c(sk0_14,X0)|~incident_c(sk0_14,X1)|part_of(X0,X1)|part_of(X1,X0)|~spl0_3)),
% 45.39/6.08 inference(resolution,[status(thm)],[f125,f40])).
% 45.39/6.08 fof(f314,plain,(
% 45.39/6.08 $false|~spl0_1),
% 45.39/6.08 inference(forward_subsumption_resolution,[status(thm)],[f115,f119])).
% 45.39/6.08 fof(f315,plain,(
% 45.39/6.08 ~spl0_1),
% 45.39/6.08 inference(contradiction_clause,[status(thm)],[f314])).
% 45.39/6.08 fof(f323,plain,(
% 45.39/6.08 spl0_25 <=> incident_c(sk0_14,sk0_15)),
% 45.39/6.08 introduced(split_symbol_definition)).
% 45.39/6.08 fof(f325,plain,(
% 45.39/6.08 ~incident_c(sk0_14,sk0_15)|spl0_25),
% 45.39/6.08 inference(component_clause,[status(thm)],[f323])).
% 45.39/6.08 fof(f343,plain,(
% 45.39/6.08 $false|spl0_25),
% 45.39/6.08 inference(forward_subsumption_resolution,[status(thm)],[f325,f109])).
% 45.39/6.08 fof(f344,plain,(
% 45.39/6.08 spl0_25),
% 45.39/6.08 inference(contradiction_clause,[status(thm)],[f343])).
% 45.39/6.08 fof(f421,plain,(
% 45.39/6.08 ![X0,X1,X2,X3]: (part_of(X0,X1)|~part_of(X0,X2)|~part_of(X2,X3)|incident_c(sk0_0(X0,X1),X3))),
% 45.39/6.08 inference(resolution,[status(thm)],[f144,f23])).
% 45.39/6.08 fof(f429,plain,(
% 45.39/6.08 ![X0,X1,X2]: (part_of(X0,X1)|~part_of(X0,X2)|~part_of(X2,X1)|part_of(X0,X1))),
% 45.39/6.08 inference(resolution,[status(thm)],[f421,f25])).
% 45.39/6.08 fof(f430,plain,(
% 45.39/6.08 ![X0,X1,X2]: (part_of(X0,X1)|~part_of(X0,X2)|~part_of(X2,X1))),
% 45.39/6.08 inference(duplicate_literals_removal,[status(esa)],[f429])).
% 45.39/6.08 fof(f434,plain,(
% 45.39/6.08 ![X0]: (part_of(X0,sk0_13)|~part_of(X0,sk0_15))),
% 45.39/6.08 inference(resolution,[status(thm)],[f430,f106])).
% 45.39/6.08 fof(f632,plain,(
% 45.39/6.08 ![X0]: (end_point(X0,sk0_15)|~incident_c(X0,sk0_15)|part_of(sk0_2(sk0_15,X0),sk0_13))),
% 45.39/6.08 inference(resolution,[status(thm)],[f41,f434])).
% 45.39/6.08 fof(f844,plain,(
% 45.39/6.08 ![X0,X1]: (end_point(X0,sk0_15)|~incident_c(X0,sk0_15)|~part_of(X1,sk0_13)|~incident_c(sk0_14,X1)|~incident_c(sk0_14,sk0_2(sk0_15,X0))|part_of(X1,sk0_2(sk0_15,X0))|part_of(sk0_2(sk0_15,X0),X1)|~spl0_3)),
% 45.39/6.08 inference(resolution,[status(thm)],[f632,f227])).
% 45.39/6.08 fof(f1263,plain,(
% 45.39/6.08 spl0_97 <=> part_of(sk0_3(sk0_15,sk0_14),sk0_15)),
% 45.39/6.08 introduced(split_symbol_definition)).
% 45.39/6.08 fof(f1264,plain,(
% 45.39/6.08 part_of(sk0_3(sk0_15,sk0_14),sk0_15)|~spl0_97),
% 45.39/6.08 inference(component_clause,[status(thm)],[f1263])).
% 45.39/6.08 fof(f1265,plain,(
% 45.39/6.08 ~part_of(sk0_3(sk0_15,sk0_14),sk0_15)|spl0_97),
% 45.39/6.08 inference(component_clause,[status(thm)],[f1263])).
% 45.39/6.08 fof(f1284,plain,(
% 45.39/6.08 end_point(sk0_14,sk0_15)|~incident_c(sk0_14,sk0_15)|spl0_97),
% 45.39/6.08 inference(resolution,[status(thm)],[f1265,f42])).
% 45.39/6.08 fof(f1285,plain,(
% 45.39/6.08 spl0_1|~spl0_25|spl0_97),
% 45.39/6.08 inference(split_clause,[status(thm)],[f1284,f114,f323,f1263])).
% 45.39/6.08 fof(f1286,plain,(
% 45.39/6.08 spl0_100 <=> ~part_of(X0,sk0_13)|~incident_c(sk0_14,X0)|part_of(X0,sk0_2(sk0_15,sk0_14))|part_of(sk0_2(sk0_15,sk0_14),X0)),
% 45.39/6.08 introduced(split_symbol_definition)).
% 45.39/6.08 fof(f1287,plain,(
% 45.39/6.08 ![X0]: (~part_of(X0,sk0_13)|~incident_c(sk0_14,X0)|part_of(X0,sk0_2(sk0_15,sk0_14))|part_of(sk0_2(sk0_15,sk0_14),X0)|~spl0_100)),
% 45.39/6.08 inference(component_clause,[status(thm)],[f1286])).
% 45.39/6.08 fof(f1289,plain,(
% 45.39/6.08 ![X0]: (end_point(sk0_14,sk0_15)|~incident_c(sk0_14,sk0_15)|~part_of(X0,sk0_13)|~incident_c(sk0_14,X0)|part_of(X0,sk0_2(sk0_15,sk0_14))|part_of(sk0_2(sk0_15,sk0_14),X0)|end_point(sk0_14,sk0_15)|~incident_c(sk0_14,sk0_15)|~spl0_3)),
% 45.39/6.08 inference(resolution,[status(thm)],[f844,f43])).
% 45.39/6.08 fof(f1290,plain,(
% 45.39/6.08 spl0_1|~spl0_25|spl0_100|~spl0_3),
% 45.39/6.08 inference(split_clause,[status(thm)],[f1289,f114,f323,f1286,f124])).
% 45.39/6.08 fof(f1325,plain,(
% 45.39/6.08 part_of(sk0_3(sk0_15,sk0_14),sk0_13)|~spl0_97),
% 45.39/6.08 inference(resolution,[status(thm)],[f1264,f434])).
% 45.39/6.08 fof(f1343,plain,(
% 45.39/6.08 spl0_108 <=> part_of(sk0_3(sk0_15,sk0_14),sk0_13)),
% 45.39/6.08 introduced(split_symbol_definition)).
% 45.39/6.08 fof(f1345,plain,(
% 45.39/6.08 ~part_of(sk0_3(sk0_15,sk0_14),sk0_13)|spl0_108),
% 45.39/6.08 inference(component_clause,[status(thm)],[f1343])).
% 45.39/6.08 fof(f1460,plain,(
% 45.39/6.08 spl0_118 <=> incident_c(sk0_14,sk0_3(sk0_15,sk0_14))),
% 45.39/6.08 introduced(split_symbol_definition)).
% 45.39/6.08 fof(f1462,plain,(
% 45.39/6.08 ~incident_c(sk0_14,sk0_3(sk0_15,sk0_14))|spl0_118),
% 45.39/6.08 inference(component_clause,[status(thm)],[f1460])).
% 45.39/6.08 fof(f1665,plain,(
% 45.39/6.08 spl0_141 <=> end_point(sk0_7(sk0_15),sk0_15)),
% 45.39/6.08 introduced(split_symbol_definition)).
% 45.39/6.08 fof(f1666,plain,(
% 45.39/6.08 end_point(sk0_7(sk0_15),sk0_15)|~spl0_141),
% 45.39/6.08 inference(component_clause,[status(thm)],[f1665])).
% 45.39/6.11 fof(f1679,plain,(
% 45.39/6.11 $false|~spl0_141),
% 45.39/6.11 inference(forward_subsumption_resolution,[status(thm)],[f1666,f150])).
% 45.39/6.11 fof(f1680,plain,(
% 45.39/6.11 ~spl0_141),
% 45.39/6.11 inference(contradiction_clause,[status(thm)],[f1679])).
% 45.39/6.11 fof(f2001,plain,(
% 45.39/6.11 spl0_154 <=> ~part_of(sk0_15,X0)|~part_of(sk0_15,X0)|~part_of(sk0_15,X0)),
% 45.39/6.11 introduced(split_symbol_definition)).
% 45.39/6.11 fof(f2002,plain,(
% 45.39/6.11 ![X0]: (~part_of(sk0_15,X0)|~part_of(sk0_15,X0)|~part_of(sk0_15,X0)|~spl0_154)),
% 45.39/6.11 inference(component_clause,[status(thm)],[f2001])).
% 45.39/6.11 fof(f2080,plain,(
% 45.39/6.11 end_point(sk0_14,sk0_15)|~incident_c(sk0_14,sk0_15)|spl0_118),
% 45.39/6.11 inference(resolution,[status(thm)],[f1462,f44])).
% 45.39/6.11 fof(f2081,plain,(
% 45.39/6.11 spl0_1|~spl0_25|spl0_118),
% 45.39/6.11 inference(split_clause,[status(thm)],[f2080,f114,f323,f1460])).
% 45.39/6.11 fof(f2120,plain,(
% 45.39/6.11 $false|~spl0_97|spl0_108),
% 45.39/6.11 inference(forward_subsumption_resolution,[status(thm)],[f1345,f1325])).
% 45.39/6.11 fof(f2121,plain,(
% 45.39/6.11 ~spl0_97|spl0_108),
% 45.39/6.11 inference(contradiction_clause,[status(thm)],[f2120])).
% 45.39/6.11 fof(f2469,plain,(
% 45.39/6.11 spl0_204 <=> part_of(sk0_3(sk0_15,sk0_14),sk0_2(sk0_15,sk0_14))),
% 45.39/6.11 introduced(split_symbol_definition)).
% 45.39/6.11 fof(f2470,plain,(
% 45.39/6.11 part_of(sk0_3(sk0_15,sk0_14),sk0_2(sk0_15,sk0_14))|~spl0_204),
% 45.39/6.11 inference(component_clause,[status(thm)],[f2469])).
% 45.39/6.11 fof(f2472,plain,(
% 45.39/6.11 ~part_of(sk0_3(sk0_15,sk0_14),sk0_13)|~incident_c(sk0_14,sk0_3(sk0_15,sk0_14))|part_of(sk0_3(sk0_15,sk0_14),sk0_2(sk0_15,sk0_14))|end_point(sk0_14,sk0_15)|~incident_c(sk0_14,sk0_15)|~spl0_100),
% 45.39/6.11 inference(resolution,[status(thm)],[f1287,f45])).
% 45.39/6.11 fof(f2473,plain,(
% 45.39/6.11 ~spl0_108|~spl0_118|spl0_204|spl0_1|~spl0_25|~spl0_100),
% 45.39/6.11 inference(split_clause,[status(thm)],[f2472,f1343,f1460,f2469,f114,f323,f1286])).
% 45.39/6.11 fof(f2863,plain,(
% 45.39/6.11 ![X0]: (~part_of(sk0_15,X0)|~spl0_154)),
% 45.39/6.11 inference(duplicate_literals_removal,[status(esa)],[f2002])).
% 45.39/6.11 fof(f2877,plain,(
% 45.39/6.11 $false|~spl0_154),
% 45.39/6.11 inference(backward_subsumption_resolution,[status(thm)],[f106,f2863])).
% 45.39/6.11 fof(f2878,plain,(
% 45.39/6.11 ~spl0_154),
% 45.39/6.11 inference(contradiction_clause,[status(thm)],[f2877])).
% 45.39/6.11 fof(f3406,plain,(
% 45.39/6.11 end_point(sk0_14,sk0_15)|~incident_c(sk0_14,sk0_15)|~spl0_204),
% 45.39/6.11 inference(resolution,[status(thm)],[f2470,f46])).
% 45.39/6.11 fof(f3407,plain,(
% 45.39/6.11 spl0_1|~spl0_25|~spl0_204),
% 45.39/6.11 inference(split_clause,[status(thm)],[f3406,f114,f323,f2469])).
% 45.39/6.11 fof(f3440,plain,(
% 45.39/6.11 $false),
% 45.39/6.11 inference(sat_refutation,[status(thm)],[f128,f131,f315,f344,f1285,f1290,f1680,f2081,f2121,f2473,f2878,f3407])).
% 45.39/6.11 % SZS output end CNFRefutation for theBenchmark.p
% 45.95/6.14 % Elapsed time: 5.821070 seconds
% 45.95/6.14 % CPU time: 46.017416 seconds
% 45.95/6.14 % Total memory used: 187.741 MB
% 45.95/6.14 % Net memory used: 182.840 MB
%------------------------------------------------------------------------------