%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO094+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:25:45 PM UTC 2026
% Result : Theorem 0.18s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO094+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 % Computer : n007.cluster.edu
% 0.18/0.47 % Model : x86_64 x86_64
% 0.18/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.47 % Memory : 8046.5625MB
% 0.18/0.47 % OS : Linux 6.8.0-71-generic
% 0.18/0.47 % CPULimit : 300
% 0.18/0.47 % WCLimit : 300
% 0.18/0.47 % DateTime : Sun Sep 20 10:38:51 UTC 2026
% 0.18/0.48 % CPUTime :
% 0.18/0.51 % Drodi V4.1.1
% 0.18/0.57 % Refutation found
% 0.18/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.57 fof(f1,axiom,(
% 0.18/0.57 (! [C,C1] :( part_of(C1,C)<=> (! [P] :( incident_c(P,C1)=> incident_c(P,C) ) )) )),
% 0.18/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f3,axiom,(
% 0.18/0.57 (! [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) ) ) )) ) )),
% 0.18/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f4,axiom,(
% 0.18/0.57 (! [P,C] :( inner_point(P,C)<=> ( incident_c(P,C)& ~ end_point(P,C) ) ) )),
% 0.18/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f5,axiom,(
% 0.18/0.57 (! [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) ) ) )) ) )),
% 0.18/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f10,axiom,(
% 0.18/0.57 (! [C] :(? [P] : inner_point(P,C) ))),
% 0.18/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f17,conjecture,(
% 0.18/0.57 (! [C,C1,C2,P] :( ( meet(P,C1,C2)& part_of(C1,C)& part_of(C2,C) )=> ~ end_point(P,C) ) )),
% 0.18/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f18,negated_conjecture,(
% 0.18/0.57 ~((! [C,C1,C2,P] :( ( meet(P,C1,C2)& part_of(C1,C)& part_of(C2,C) )=> ~ end_point(P,C) ) ))),
% 0.18/0.57 inference(negated_conjecture,[status(cth)],[f17])).
% 0.18/0.57 fof(f19,plain,(
% 0.18/0.57 ![C,C1]: (part_of(C1,C)<=>(![P]: (~incident_c(P,C1)|incident_c(P,C))))),
% 0.18/0.57 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.18/0.57 fof(f20,plain,(
% 0.18/0.57 ![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)))))),
% 0.18/0.57 inference(NNF_transformation,[status(thm)],[f19])).
% 0.18/0.57 fof(f21,plain,(
% 0.18/0.57 (![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)))))),
% 0.18/0.57 inference(miniscoping,[status(thm)],[f20])).
% 0.18/0.57 fof(f22,plain,(
% 0.18/0.57 (![C,C1]: (~part_of(C1,C)|(![P]: (~incident_c(P,C1)|incident_c(P,C)))))&(![C,C1]: (part_of(C1,C)|(incident_c(sK0_skl(C1,C),C1)&~incident_c(sK0_skl(C1,C),C))))),
% 0.18/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(P,sK0_skl(C1,C))],[f21])).
% 0.18/0.57 fof(f23,plain,(
% 0.18/0.57 ![X0,X1,X2]: (~part_of(X0,X1)|~incident_c(X2,X0)|incident_c(X2,X1))),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f22])).
% 0.18/0.57 fof(f35,plain,(
% 0.18/0.57 ![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))))))),
% 0.18/0.57 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.18/0.57 fof(f36,plain,(
% 0.18/0.57 ![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)))))))),
% 0.18/0.57 inference(NNF_transformation,[status(thm)],[f35])).
% 0.18/0.57 fof(f37,plain,(
% 0.18/0.57 (![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)))))))),
% 0.18/0.57 inference(miniscoping,[status(thm)],[f36])).
% 0.18/0.57 fof(f38,plain,(
% 0.18/0.57 (![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(sK2_skl(C,P),C)&part_of(sK3_skl(C,P),C))&incident_c(P,sK2_skl(C,P)))&incident_c(P,sK3_skl(C,P)))&(~part_of(sK2_skl(C,P),sK3_skl(C,P))&~part_of(sK3_skl(C,P),sK2_skl(C,P)))))))),
% 0.18/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(C1,sK2_skl(C,P)),skolemize(C2,sK3_skl(C,P))],[f37])).
% 0.18/0.57 fof(f40,plain,(
% 0.18/0.57 ![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))),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f38])).
% 0.18/0.57 fof(f47,plain,(
% 0.18/0.57 ![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))))),
% 0.18/0.57 inference(NNF_transformation,[status(thm)],[f4])).
% 0.18/0.57 fof(f48,plain,(
% 0.18/0.57 (![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))))),
% 0.18/0.57 inference(miniscoping,[status(thm)],[f47])).
% 0.18/0.57 fof(f49,plain,(
% 0.18/0.57 ![X0,X1]: (~inner_point(X0,X1)|incident_c(X0,X1))),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f48])).
% 0.18/0.57 fof(f50,plain,(
% 0.18/0.57 ![X0,X1]: (~inner_point(X0,X1)|~end_point(X0,X1))),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f48])).
% 0.18/0.57 fof(f52,plain,(
% 0.18/0.57 ![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))))))),
% 0.18/0.57 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.18/0.57 fof(f53,plain,(
% 0.18/0.57 ![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)))))))),
% 0.18/0.57 inference(NNF_transformation,[status(thm)],[f52])).
% 0.18/0.57 fof(f54,plain,(
% 0.18/0.57 (![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)))))))),
% 0.18/0.57 inference(miniscoping,[status(thm)],[f53])).
% 0.18/0.57 fof(f55,plain,(
% 0.18/0.57 (![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(sK4_skl(C1,C,P),C)&incident_c(sK4_skl(C1,C,P),C1))&(~end_point(sK4_skl(C1,C,P),C)|~end_point(sK4_skl(C1,C,P),C1))))))),
% 0.18/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Q,sK4_skl(C1,C,P))],[f54])).
% 0.18/0.57 fof(f56,plain,(
% 0.18/0.57 ![X0,X1,X2]: (~meet(X0,X1,X2)|incident_c(X0,X1))),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f55])).
% 0.18/0.57 fof(f57,plain,(
% 0.18/0.57 ![X0,X1,X2]: (~meet(X0,X1,X2)|incident_c(X0,X2))),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f55])).
% 0.18/0.57 fof(f58,plain,(
% 0.18/0.57 ![X0,X1,X2,X3]: (~meet(X0,X1,X2)|~incident_c(X3,X1)|~incident_c(X3,X2)|end_point(X3,X1))),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f55])).
% 0.18/0.57 fof(f59,plain,(
% 0.18/0.57 ![X0,X1,X2,X3]: (~meet(X0,X1,X2)|~incident_c(X3,X1)|~incident_c(X3,X2)|end_point(X3,X2))),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f55])).
% 0.18/0.57 fof(f80,plain,(
% 0.18/0.57 ![C]: inner_point(sK7_skl(C),C)),
% 0.18/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(P,sK7_skl(C))],[f10])).
% 0.18/0.57 fof(f81,plain,(
% 0.18/0.57 ![X0]: (inner_point(sK7_skl(X0),X0))),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f80])).
% 0.18/0.57 fof(f104,plain,(
% 0.18/0.57 (?[C,C1,C2,P]: (((meet(P,C1,C2)&part_of(C1,C))&part_of(C2,C))&end_point(P,C)))),
% 0.18/0.57 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.18/0.57 fof(f105,plain,(
% 0.18/0.57 ?[C,P]: ((?[C2]: ((?[C1]: (meet(P,C1,C2)&part_of(C1,C)))&part_of(C2,C)))&end_point(P,C))),
% 0.18/0.57 inference(miniscoping,[status(thm)],[f104])).
% 0.18/0.57 fof(f106,plain,(
% 0.18/0.57 (((meet(sK14_skl,sK16_skl,sK15_skl)&part_of(sK16_skl,sK13_skl))&part_of(sK15_skl,sK13_skl))&end_point(sK14_skl,sK13_skl))),
% 0.18/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl,sK15_skl,sK16_skl]),skolemize(C,sK13_skl),skolemize(P,sK14_skl),skolemize(C2,sK15_skl),skolemize(C1,sK16_skl)],[f105])).
% 0.18/0.57 fof(f107,plain,(
% 0.18/0.57 meet(sK14_skl,sK16_skl,sK15_skl)),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f106])).
% 0.18/0.57 fof(f108,plain,(
% 0.18/0.57 part_of(sK16_skl,sK13_skl)),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f106])).
% 0.18/0.57 fof(f109,plain,(
% 0.18/0.57 part_of(sK15_skl,sK13_skl)),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f106])).
% 0.18/0.57 fof(f110,plain,(
% 0.18/0.57 end_point(sK14_skl,sK13_skl)),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f106])).
% 0.18/0.57 fof(f115,plain,(
% 0.18/0.57 incident_c(sK14_skl,sK16_skl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f56,f107])).
% 0.18/0.57 fof(f116,plain,(
% 0.18/0.57 incident_c(sK14_skl,sK15_skl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f57,f107])).
% 0.18/0.57 fof(f117,plain,(
% 0.18/0.57 ![X0]: (~incident_c(X0,sK16_skl)|~incident_c(X0,sK15_skl)|end_point(X0,sK16_skl))),
% 0.18/0.57 inference(resolution,[status(thm)],[f58,f107])).
% 0.18/0.57 fof(f120,definition,(
% 0.18/0.57 sQ0_spl <=> (incident_c(sK14_skl,sK15_skl))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f122,plain,(
% 0.18/0.57 ~incident_c(sK14_skl,sK15_skl)|sQ0_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f120])).
% 0.18/0.57 fof(f127,plain,(
% 0.18/0.57 $false|sQ0_spl),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f122,f116])).
% 0.18/0.57 fof(f128,plain,(
% 0.18/0.57 sQ0_spl),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f127])).
% 0.18/0.57 fof(f129,plain,(
% 0.18/0.57 ![X0]: (~incident_c(X0,sK16_skl)|~incident_c(X0,sK15_skl)|end_point(X0,sK15_skl))),
% 0.18/0.57 inference(resolution,[status(thm)],[f59,f107])).
% 0.18/0.57 fof(f132,plain,(
% 0.18/0.57 ![X0,X1]: (~part_of(X0,sK13_skl)|~part_of(X1,sK13_skl)|~incident_c(sK14_skl,X0)|~incident_c(sK14_skl,X1)|part_of(X0,X1)|part_of(X1,X0))),
% 0.18/0.57 inference(resolution,[status(thm)],[f40,f110])).
% 0.18/0.57 fof(f133,plain,(
% 0.18/0.57 ![X0]: (~inner_point(X0,sK16_skl)|~incident_c(X0,sK15_skl)|end_point(X0,sK16_skl))),
% 0.18/0.57 inference(resolution,[status(thm)],[f49,f117])).
% 0.18/0.57 fof(f153,plain,(
% 0.18/0.57 ![X0,X1]: (~incident_c(X0,sK15_skl)|end_point(X0,sK15_skl)|~part_of(X1,sK16_skl)|~incident_c(X0,X1))),
% 0.18/0.57 inference(resolution,[status(thm)],[f129,f23])).
% 0.18/0.57 fof(f156,plain,(
% 0.18/0.57 ~incident_c(sK7_skl(sK16_skl),sK15_skl)|end_point(sK7_skl(sK16_skl),sK16_skl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f133,f81])).
% 0.18/0.57 fof(f157,definition,(
% 0.18/0.57 sQ5_spl <=> (incident_c(sK7_skl(sK16_skl),sK15_skl))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f159,plain,(
% 0.18/0.57 ~incident_c(sK7_skl(sK16_skl),sK15_skl)|sQ5_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f157])).
% 0.18/0.57 fof(f160,definition,(
% 0.18/0.57 sQ6_spl <=> (end_point(sK7_skl(sK16_skl),sK16_skl))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f161,plain,(
% 0.18/0.57 end_point(sK7_skl(sK16_skl),sK16_skl)|~sQ6_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f160])).
% 0.18/0.57 fof(f163,plain,(
% 0.18/0.57 ~sQ5_spl|sQ6_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f156,f157,f160])).
% 0.18/0.57 fof(f185,plain,(
% 0.18/0.57 ![X0]: (~part_of(X0,sK15_skl)|~incident_c(sK7_skl(sK16_skl),X0)|sQ5_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f159,f23])).
% 0.18/0.57 fof(f186,plain,(
% 0.18/0.57 ![X0]: (~part_of(X0,sK13_skl)|~incident_c(sK14_skl,X0)|~incident_c(sK14_skl,sK15_skl)|part_of(X0,sK15_skl)|part_of(sK15_skl,X0))),
% 0.18/0.57 inference(resolution,[status(thm)],[f132,f109])).
% 0.18/0.57 fof(f188,definition,(
% 0.18/0.57 ![X0]: (sQ8_spl <=> (~part_of(X0,sK13_skl)|~incident_c(sK14_skl,X0)|part_of(X0,sK15_skl)|part_of(sK15_skl,X0)))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f189,plain,(
% 0.18/0.57 ![X0]: (~part_of(X0,sK13_skl)|~incident_c(sK14_skl,X0)|part_of(X0,sK15_skl)|part_of(sK15_skl,X0)|~sQ8_spl)),
% 0.18/0.57 inference(component_clause,[status(thm)],[f188])).
% 0.18/0.57 fof(f191,plain,(
% 0.18/0.57 sQ8_spl|~sQ0_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f186,f188,f120])).
% 0.18/0.57 fof(f195,definition,(
% 0.18/0.57 sQ10_spl <=> (incident_c(sK14_skl,sK16_skl))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f197,plain,(
% 0.18/0.57 ~incident_c(sK14_skl,sK16_skl)|sQ10_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f195])).
% 0.18/0.57 fof(f200,plain,(
% 0.18/0.57 ~incident_c(sK14_skl,sK16_skl)|part_of(sK16_skl,sK15_skl)|part_of(sK15_skl,sK16_skl)|~sQ8_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f189,f108])).
% 0.18/0.57 fof(f205,definition,(
% 0.18/0.57 sQ12_spl <=> (part_of(sK16_skl,sK15_skl))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f206,plain,(
% 0.18/0.57 part_of(sK16_skl,sK15_skl)|~sQ12_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f205])).
% 0.18/0.57 fof(f208,definition,(
% 0.18/0.57 sQ13_spl <=> (part_of(sK15_skl,sK16_skl))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f209,plain,(
% 0.18/0.57 part_of(sK15_skl,sK16_skl)|~sQ13_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f208])).
% 0.18/0.57 fof(f211,plain,(
% 0.18/0.57 ~sQ10_spl|sQ12_spl|sQ13_spl|~sQ8_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f200,f195,f205,f208,f188])).
% 0.18/0.57 fof(f212,plain,(
% 0.18/0.57 $false|sQ10_spl),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f197,f115])).
% 0.18/0.57 fof(f213,plain,(
% 0.18/0.57 sQ10_spl),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f212])).
% 0.18/0.57 fof(f215,plain,(
% 0.18/0.57 ~incident_c(sK7_skl(sK16_skl),sK16_skl)|~sQ12_spl|sQ5_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f206,f185])).
% 0.18/0.57 fof(f223,plain,(
% 0.18/0.57 ![X0]: (~incident_c(X0,sK15_skl)|end_point(X0,sK15_skl)|~incident_c(X0,sK15_skl)|~sQ13_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f209,f153])).
% 0.18/0.57 fof(f225,plain,(
% 0.18/0.57 ![X0]: (~incident_c(X0,sK15_skl)|end_point(X0,sK15_skl)|~sQ13_spl)),
% 0.18/0.57 inference(duplicate_literals_removal,[status(thm)],[f223])).
% 0.18/0.57 fof(f231,plain,(
% 0.18/0.57 ![X0]: (end_point(X0,sK15_skl)|~inner_point(X0,sK15_skl)|~sQ13_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f225,f49])).
% 0.18/0.57 fof(f445,plain,(
% 0.18/0.57 ![X0]: (~end_point(sK7_skl(X0),X0))),
% 0.18/0.57 inference(resolution,[status(thm)],[f50,f81])).
% 0.18/0.57 fof(f598,plain,(
% 0.18/0.57 ![X0]: (~inner_point(X0,sK15_skl)|~sQ13_spl)),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f231,f50])).
% 0.18/0.57 fof(f599,plain,(
% 0.18/0.57 $false|~sQ13_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f598,f81])).
% 0.18/0.57 fof(f600,plain,(
% 0.18/0.57 ~sQ13_spl),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f599])).
% 0.18/0.57 fof(f678,plain,(
% 0.18/0.57 ~inner_point(sK7_skl(sK16_skl),sK16_skl)|~sQ12_spl|sQ5_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f215,f49])).
% 0.18/0.57 fof(f681,plain,(
% 0.18/0.57 $false|~sQ12_spl|sQ5_spl),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f678,f81])).
% 0.18/0.57 fof(f682,plain,(
% 0.18/0.57 ~sQ12_spl|sQ5_spl),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f681])).
% 0.18/0.57 fof(f683,plain,(
% 0.18/0.57 $false|~sQ6_spl),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f161,f445])).
% 0.18/0.57 fof(f684,plain,(
% 0.18/0.57 ~sQ6_spl),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f683])).
% 0.18/0.57 fof(f685,plain,(
% 0.18/0.57 $false),
% 0.18/0.57 inference(sat_refutation,[status(thm)],[f128,f163,f191,f211,f213,f600,f682,f684])).
% 0.18/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.62 % Elapsed time: 0.127613 seconds
% 0.23/0.62 % CPU time: 0.360099 seconds
% 0.23/0.62 % Total memory used: 43.150 MB
% 0.23/0.62 % Net memory used: 42.888 MB
%------------------------------------------------------------------------------