TSTP Solution File: GEO094+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO094+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 20:17:05 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : GEO094+1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n025.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Apr 30 01:41:56 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f1,axiom,(
% 0.15/0.40 (! [C,C1] :( part_of(C1,C)<=> (! [P] :( incident_c(P,C1)=> incident_c(P,C) ) )) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f3,axiom,(
% 0.15/0.40 (! [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) ) ) )) ) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f4,axiom,(
% 0.15/0.40 (! [P,C] :( inner_point(P,C)<=> ( incident_c(P,C)& ~ end_point(P,C) ) ) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f5,axiom,(
% 0.15/0.40 (! [P,C,C1] :( meet(P,C,C1)<=> ( incident_c(P,C)& incident_c(P,C1)& (! [Q] :( ( incident_c(Q,C)& incident_c(Q,C1) )=> ( end_point(Q,C)& end_point(Q,C1) ) ) )) ) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f10,axiom,(
% 0.15/0.40 (! [C] :(? [P] : inner_point(P,C) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f17,conjecture,(
% 0.15/0.40 (! [C,C1,C2,P] :( ( meet(P,C1,C2)& part_of(C1,C)& part_of(C2,C) )=> ~ end_point(P,C) ) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f18,negated_conjecture,(
% 0.15/0.40 ~((! [C,C1,C2,P] :( ( meet(P,C1,C2)& part_of(C1,C)& part_of(C2,C) )=> ~ end_point(P,C) ) ))),
% 0.15/0.40 inference(negated_conjecture,[status(cth)],[f17])).
% 0.15/0.40 fof(f19,plain,(
% 0.15/0.40 ![C,C1]: (part_of(C1,C)<=>(![P]: (~incident_c(P,C1)|incident_c(P,C))))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.15/0.40 fof(f20,plain,(
% 0.15/0.40 ![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)))))),
% 0.15/0.40 inference(NNF_transformation,[status(esa)],[f19])).
% 0.15/0.40 fof(f21,plain,(
% 0.15/0.40 (![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)))))),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f20])).
% 0.15/0.40 fof(f22,plain,(
% 0.15/0.40 (![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))))),
% 0.15/0.40 inference(skolemization,[status(esa)],[f21])).
% 0.15/0.40 fof(f23,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~part_of(X0,X1)|~incident_c(X2,X0)|incident_c(X2,X1))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f22])).
% 0.15/0.40 fof(f35,plain,(
% 0.15/0.40 ![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))))))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.15/0.40 fof(f36,plain,(
% 0.15/0.40 ![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)))))))),
% 0.15/0.40 inference(NNF_transformation,[status(esa)],[f35])).
% 0.15/0.40 fof(f37,plain,(
% 0.15/0.40 (![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)))))))),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f36])).
% 0.15/0.40 fof(f38,plain,(
% 0.15/0.40 (![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)))))))),
% 0.15/0.40 inference(skolemization,[status(esa)],[f37])).
% 0.15/0.40 fof(f40,plain,(
% 0.15/0.40 ![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))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f38])).
% 0.15/0.40 fof(f47,plain,(
% 0.15/0.40 ![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))))),
% 0.15/0.41 inference(NNF_transformation,[status(esa)],[f4])).
% 0.15/0.41 fof(f48,plain,(
% 0.15/0.41 (![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))))),
% 0.15/0.41 inference(miniscoping,[status(esa)],[f47])).
% 0.15/0.41 fof(f49,plain,(
% 0.15/0.41 ![X0,X1]: (~inner_point(X0,X1)|incident_c(X0,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f48])).
% 0.15/0.41 fof(f50,plain,(
% 0.15/0.41 ![X0,X1]: (~inner_point(X0,X1)|~end_point(X0,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f48])).
% 0.15/0.41 fof(f52,plain,(
% 0.15/0.41 ![P,C,C1]: (meet(P,C,C1)<=>((incident_c(P,C)&incident_c(P,C1))&(![Q]: ((~incident_c(Q,C)|~incident_c(Q,C1))|(end_point(Q,C)&end_point(Q,C1))))))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.15/0.41 fof(f53,plain,(
% 0.15/0.41 ![P,C,C1]: ((~meet(P,C,C1)|((incident_c(P,C)&incident_c(P,C1))&(![Q]: ((~incident_c(Q,C)|~incident_c(Q,C1))|(end_point(Q,C)&end_point(Q,C1))))))&(meet(P,C,C1)|((~incident_c(P,C)|~incident_c(P,C1))|(?[Q]: ((incident_c(Q,C)&incident_c(Q,C1))&(~end_point(Q,C)|~end_point(Q,C1)))))))),
% 0.15/0.41 inference(NNF_transformation,[status(esa)],[f52])).
% 0.15/0.41 fof(f54,plain,(
% 0.15/0.41 (![P,C,C1]: (~meet(P,C,C1)|((incident_c(P,C)&incident_c(P,C1))&(![Q]: ((~incident_c(Q,C)|~incident_c(Q,C1))|(end_point(Q,C)&end_point(Q,C1)))))))&(![P,C,C1]: (meet(P,C,C1)|((~incident_c(P,C)|~incident_c(P,C1))|(?[Q]: ((incident_c(Q,C)&incident_c(Q,C1))&(~end_point(Q,C)|~end_point(Q,C1)))))))),
% 0.15/0.41 inference(miniscoping,[status(esa)],[f53])).
% 0.15/0.41 fof(f55,plain,(
% 0.15/0.41 (![P,C,C1]: (~meet(P,C,C1)|((incident_c(P,C)&incident_c(P,C1))&(![Q]: ((~incident_c(Q,C)|~incident_c(Q,C1))|(end_point(Q,C)&end_point(Q,C1)))))))&(![P,C,C1]: (meet(P,C,C1)|((~incident_c(P,C)|~incident_c(P,C1))|((incident_c(sk0_4(C1,C,P),C)&incident_c(sk0_4(C1,C,P),C1))&(~end_point(sk0_4(C1,C,P),C)|~end_point(sk0_4(C1,C,P),C1))))))),
% 0.15/0.41 inference(skolemization,[status(esa)],[f54])).
% 0.15/0.41 fof(f56,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~meet(X0,X1,X2)|incident_c(X0,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f55])).
% 0.15/0.41 fof(f57,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~meet(X0,X1,X2)|incident_c(X0,X2))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f55])).
% 0.15/0.41 fof(f58,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (~meet(X0,X1,X2)|~incident_c(X3,X1)|~incident_c(X3,X2)|end_point(X3,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f55])).
% 0.15/0.41 fof(f59,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (~meet(X0,X1,X2)|~incident_c(X3,X1)|~incident_c(X3,X2)|end_point(X3,X2))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f55])).
% 0.15/0.41 fof(f80,plain,(
% 0.15/0.41 ![C]: inner_point(sk0_7(C),C)),
% 0.15/0.41 inference(skolemization,[status(esa)],[f10])).
% 0.15/0.41 fof(f81,plain,(
% 0.15/0.41 ![X0]: (inner_point(sk0_7(X0),X0))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f80])).
% 0.15/0.41 fof(f104,plain,(
% 0.15/0.41 (?[C,C1,C2,P]: (((meet(P,C1,C2)&part_of(C1,C))&part_of(C2,C))&end_point(P,C)))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.15/0.41 fof(f105,plain,(
% 0.15/0.41 ?[C,P]: ((?[C2]: ((?[C1]: (meet(P,C1,C2)&part_of(C1,C)))&part_of(C2,C)))&end_point(P,C))),
% 0.15/0.41 inference(miniscoping,[status(esa)],[f104])).
% 0.15/0.41 fof(f106,plain,(
% 0.15/0.41 (((meet(sk0_14,sk0_16,sk0_15)&part_of(sk0_16,sk0_13))&part_of(sk0_15,sk0_13))&end_point(sk0_14,sk0_13))),
% 0.15/0.41 inference(skolemization,[status(esa)],[f105])).
% 0.15/0.41 fof(f107,plain,(
% 0.15/0.41 meet(sk0_14,sk0_16,sk0_15)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f106])).
% 0.15/0.41 fof(f108,plain,(
% 0.15/0.41 part_of(sk0_16,sk0_13)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f106])).
% 0.15/0.41 fof(f109,plain,(
% 0.15/0.41 part_of(sk0_15,sk0_13)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f106])).
% 0.15/0.41 fof(f110,plain,(
% 0.15/0.41 end_point(sk0_14,sk0_13)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f106])).
% 0.15/0.41 fof(f116,plain,(
% 0.15/0.41 incident_c(sk0_14,sk0_16)),
% 0.15/0.41 inference(resolution,[status(thm)],[f56,f107])).
% 0.15/0.41 fof(f117,plain,(
% 0.15/0.41 incident_c(sk0_14,sk0_15)),
% 0.15/0.41 inference(resolution,[status(thm)],[f57,f107])).
% 0.15/0.41 fof(f123,plain,(
% 0.15/0.41 ![X0]: (~incident_c(X0,sk0_16)|~incident_c(X0,sk0_15)|end_point(X0,sk0_16))),
% 0.15/0.41 inference(resolution,[status(thm)],[f58,f107])).
% 0.15/0.41 fof(f124,plain,(
% 0.15/0.41 spl0_0 <=> incident_c(sk0_14,sk0_15)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f126,plain,(
% 0.15/0.41 ~incident_c(sk0_14,sk0_15)|spl0_0),
% 0.15/0.41 inference(component_clause,[status(thm)],[f124])).
% 0.15/0.41 fof(f132,plain,(
% 0.15/0.41 $false|spl0_0),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f126,f117])).
% 0.15/0.41 fof(f133,plain,(
% 0.15/0.41 spl0_0),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f132])).
% 0.15/0.41 fof(f136,plain,(
% 0.15/0.41 ![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))),
% 0.15/0.41 inference(resolution,[status(thm)],[f40,f110])).
% 0.15/0.41 fof(f137,plain,(
% 0.15/0.41 spl0_2 <=> part_of(sk0_15,sk0_16)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f138,plain,(
% 0.15/0.41 part_of(sk0_15,sk0_16)|~spl0_2),
% 0.15/0.41 inference(component_clause,[status(thm)],[f137])).
% 0.15/0.41 fof(f179,plain,(
% 0.15/0.41 spl0_10 <=> ~part_of(X0,sk0_13)|~incident_c(sk0_14,X0)|part_of(X0,sk0_15)|part_of(sk0_15,X0)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f180,plain,(
% 0.15/0.41 ![X0]: (~part_of(X0,sk0_13)|~incident_c(sk0_14,X0)|part_of(X0,sk0_15)|part_of(sk0_15,X0)|~spl0_10)),
% 0.15/0.41 inference(component_clause,[status(thm)],[f179])).
% 0.15/0.41 fof(f182,plain,(
% 0.15/0.41 ![X0]: (~part_of(X0,sk0_13)|~incident_c(sk0_14,X0)|~incident_c(sk0_14,sk0_15)|part_of(X0,sk0_15)|part_of(sk0_15,X0))),
% 0.15/0.41 inference(resolution,[status(thm)],[f136,f109])).
% 0.15/0.41 fof(f183,plain,(
% 0.15/0.41 spl0_10|~spl0_0),
% 0.15/0.41 inference(split_clause,[status(thm)],[f182,f179,f124])).
% 0.15/0.41 fof(f199,plain,(
% 0.15/0.41 spl0_14 <=> part_of(sk0_16,sk0_13)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f201,plain,(
% 0.15/0.41 ~part_of(sk0_16,sk0_13)|spl0_14),
% 0.15/0.41 inference(component_clause,[status(thm)],[f199])).
% 0.15/0.41 fof(f221,plain,(
% 0.15/0.41 $false|spl0_14),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f201,f108])).
% 0.15/0.41 fof(f222,plain,(
% 0.15/0.41 spl0_14),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f221])).
% 0.15/0.41 fof(f231,plain,(
% 0.15/0.41 spl0_16 <=> part_of(sk0_16,sk0_15)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f232,plain,(
% 0.15/0.41 part_of(sk0_16,sk0_15)|~spl0_16),
% 0.15/0.41 inference(component_clause,[status(thm)],[f231])).
% 0.15/0.41 fof(f234,plain,(
% 0.15/0.41 ~part_of(sk0_16,sk0_13)|part_of(sk0_16,sk0_15)|part_of(sk0_15,sk0_16)|~spl0_10),
% 0.15/0.41 inference(resolution,[status(thm)],[f180,f116])).
% 0.15/0.41 fof(f235,plain,(
% 0.15/0.41 ~spl0_14|spl0_16|spl0_2|~spl0_10),
% 0.15/0.41 inference(split_clause,[status(thm)],[f234,f199,f231,f137,f179])).
% 0.15/0.41 fof(f263,plain,(
% 0.15/0.41 ![X0]: (~incident_c(X0,sk0_16)|~incident_c(X0,sk0_15)|end_point(X0,sk0_15))),
% 0.15/0.41 inference(resolution,[status(thm)],[f59,f107])).
% 0.15/0.41 fof(f791,plain,(
% 0.15/0.41 ![X0]: (incident_c(sk0_7(X0),X0))),
% 0.15/0.41 inference(resolution,[status(thm)],[f49,f81])).
% 0.15/0.41 fof(f792,plain,(
% 0.15/0.41 spl0_64 <=> incident_c(sk0_7(sk0_16),sk0_15)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f794,plain,(
% 0.15/0.41 ~incident_c(sk0_7(sk0_16),sk0_15)|spl0_64),
% 0.15/0.41 inference(component_clause,[status(thm)],[f792])).
% 0.15/0.41 fof(f800,plain,(
% 0.15/0.41 spl0_66 <=> end_point(sk0_7(sk0_16),sk0_16)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f801,plain,(
% 0.15/0.41 end_point(sk0_7(sk0_16),sk0_16)|~spl0_66),
% 0.15/0.41 inference(component_clause,[status(thm)],[f800])).
% 0.15/0.41 fof(f803,plain,(
% 0.15/0.41 ~incident_c(sk0_7(sk0_16),sk0_15)|end_point(sk0_7(sk0_16),sk0_16)),
% 0.15/0.41 inference(resolution,[status(thm)],[f791,f123])).
% 0.15/0.41 fof(f804,plain,(
% 0.15/0.41 ~spl0_64|spl0_66),
% 0.15/0.41 inference(split_clause,[status(thm)],[f803,f792,f800])).
% 0.15/0.41 fof(f805,plain,(
% 0.15/0.41 ![X0,X1]: (~part_of(X0,X1)|incident_c(sk0_7(X0),X1))),
% 0.15/0.41 inference(resolution,[status(thm)],[f791,f23])).
% 0.15/0.41 fof(f806,plain,(
% 0.15/0.41 incident_c(sk0_7(sk0_15),sk0_16)|~spl0_2),
% 0.15/0.41 inference(resolution,[status(thm)],[f805,f138])).
% 0.15/0.41 fof(f811,plain,(
% 0.15/0.41 spl0_67 <=> incident_c(sk0_7(sk0_15),sk0_15)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f813,plain,(
% 0.15/0.41 ~incident_c(sk0_7(sk0_15),sk0_15)|spl0_67),
% 0.15/0.41 inference(component_clause,[status(thm)],[f811])).
% 0.15/0.41 fof(f814,plain,(
% 0.15/0.41 spl0_68 <=> end_point(sk0_7(sk0_15),sk0_15)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f815,plain,(
% 0.15/0.41 end_point(sk0_7(sk0_15),sk0_15)|~spl0_68),
% 0.15/0.41 inference(component_clause,[status(thm)],[f814])).
% 0.15/0.41 fof(f817,plain,(
% 0.15/0.41 ~incident_c(sk0_7(sk0_15),sk0_15)|end_point(sk0_7(sk0_15),sk0_15)|~spl0_2),
% 0.15/0.41 inference(resolution,[status(thm)],[f806,f263])).
% 0.15/0.41 fof(f818,plain,(
% 0.15/0.41 ~spl0_67|spl0_68|~spl0_2),
% 0.15/0.41 inference(split_clause,[status(thm)],[f817,f811,f814,f137])).
% 0.15/0.41 fof(f825,plain,(
% 0.15/0.41 $false|spl0_67),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f813,f791])).
% 0.15/0.41 fof(f826,plain,(
% 0.15/0.41 spl0_67),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f825])).
% 0.15/0.41 fof(f830,plain,(
% 0.15/0.41 incident_c(sk0_7(sk0_16),sk0_15)|~spl0_16),
% 0.15/0.41 inference(resolution,[status(thm)],[f232,f805])).
% 0.15/0.41 fof(f831,plain,(
% 0.15/0.41 $false|spl0_64|~spl0_16),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f830,f794])).
% 0.15/0.41 fof(f832,plain,(
% 0.15/0.41 spl0_64|~spl0_16),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f831])).
% 0.15/0.41 fof(f873,plain,(
% 0.15/0.41 ![X0]: (~end_point(sk0_7(X0),X0))),
% 0.15/0.41 inference(resolution,[status(thm)],[f50,f81])).
% 0.15/0.41 fof(f874,plain,(
% 0.15/0.41 $false|~spl0_68),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f815,f873])).
% 0.15/0.41 fof(f875,plain,(
% 0.15/0.41 ~spl0_68),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f874])).
% 0.15/0.41 fof(f876,plain,(
% 0.15/0.41 $false|~spl0_66),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f801,f873])).
% 0.15/0.41 fof(f877,plain,(
% 0.15/0.41 ~spl0_66),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f876])).
% 0.15/0.41 fof(f878,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(sat_refutation,[status(thm)],[f133,f183,f222,f235,f804,f818,f826,f832,f875,f877])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.41 % Elapsed time: 0.077036 seconds
% 0.15/0.41 % CPU time: 0.488786 seconds
% 0.15/0.41 % Total memory used: 57.901 MB
% 0.15/0.41 % Net memory used: 57.288 MB
%------------------------------------------------------------------------------