TSTP Solution File: GEO088+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO088+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 : Wed May 31 12:07:44 EDT 2023
% Result : Theorem 80.91s 10.55s
% Output : CNFRefutation 80.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO088+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n005.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 : Tue May 30 12:02:06 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 80.91/10.55 % Refutation found
% 80.91/10.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 80.91/10.55 % SZS output start CNFRefutation for theBenchmark
% 80.91/10.55 fof(f1,axiom,(
% 80.91/10.55 (! [C,C1] :( part_of(C1,C)<=> (! [P] :( incident_c(P,C1)=> incident_c(P,C) ) )) )),
% 80.91/10.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 80.91/10.55 fof(f3,axiom,(
% 80.91/10.55 (! [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) ) ) )) ) )),
% 80.91/10.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 80.91/10.55 fof(f4,axiom,(
% 80.91/10.55 (! [P,C] :( inner_point(P,C)<=> ( incident_c(P,C)& ~ end_point(P,C) ) ) )),
% 80.91/10.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 80.91/10.55 fof(f10,axiom,(
% 80.91/10.55 (! [C] :(? [P] : inner_point(P,C) ))),
% 80.91/10.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 80.91/10.55 fof(f13,axiom,(
% 80.91/10.55 (! [C,P] :( end_point(P,C)=> (? [Q] :( end_point(Q,C)& P != Q ) )) )),
% 80.91/10.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 80.91/10.55 fof(f17,conjecture,(
% 80.91/10.55 (! [C,Cpp,P] :( ( part_of(Cpp,C)& end_point(P,C)& incident_c(P,Cpp) )=> end_point(P,Cpp) ) )),
% 80.91/10.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 80.91/10.55 fof(f18,negated_conjecture,(
% 80.91/10.55 ~((! [C,Cpp,P] :( ( part_of(Cpp,C)& end_point(P,C)& incident_c(P,Cpp) )=> end_point(P,Cpp) ) ))),
% 80.91/10.55 inference(negated_conjecture,[status(cth)],[f17])).
% 80.91/10.55 fof(f19,plain,(
% 80.91/10.55 ![C,C1]: (part_of(C1,C)<=>(![P]: (~incident_c(P,C1)|incident_c(P,C))))),
% 80.91/10.55 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 80.91/10.55 fof(f20,plain,(
% 80.91/10.55 ![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)))))),
% 80.91/10.55 inference(NNF_transformation,[status(esa)],[f19])).
% 80.91/10.55 fof(f21,plain,(
% 80.91/10.55 (![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)))))),
% 80.91/10.55 inference(miniscoping,[status(esa)],[f20])).
% 80.91/10.55 fof(f22,plain,(
% 80.91/10.55 (![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))))),
% 80.91/10.55 inference(skolemization,[status(esa)],[f21])).
% 80.91/10.55 fof(f23,plain,(
% 80.91/10.55 ![X0,X1,X2]: (~part_of(X0,X1)|~incident_c(X2,X0)|incident_c(X2,X1))),
% 80.91/10.55 inference(cnf_transformation,[status(esa)],[f22])).
% 80.91/10.55 fof(f24,plain,(
% 80.91/10.55 ![X0,X1]: (part_of(X0,X1)|incident_c(sk0_0(X0,X1),X0))),
% 80.91/10.55 inference(cnf_transformation,[status(esa)],[f22])).
% 80.91/10.55 fof(f25,plain,(
% 80.91/10.55 ![X0,X1]: (part_of(X0,X1)|~incident_c(sk0_0(X0,X1),X1))),
% 80.91/10.55 inference(cnf_transformation,[status(esa)],[f22])).
% 80.91/10.55 fof(f35,plain,(
% 80.91/10.55 ![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))))))),
% 80.91/10.55 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 80.91/10.55 fof(f36,plain,(
% 80.91/10.55 ![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)))))))),
% 80.91/10.55 inference(NNF_transformation,[status(esa)],[f35])).
% 80.91/10.55 fof(f37,plain,(
% 80.91/10.55 (![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)))))))),
% 80.91/10.55 inference(miniscoping,[status(esa)],[f36])).
% 80.91/10.55 fof(f38,plain,(
% 80.91/10.55 (![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)))))))),
% 80.91/10.55 inference(skolemization,[status(esa)],[f37])).
% 80.91/10.55 fof(f40,plain,(
% 80.91/10.55 ![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))),
% 80.91/10.57 inference(cnf_transformation,[status(esa)],[f38])).
% 80.91/10.57 fof(f41,plain,(
% 80.91/10.57 ![X0,X1]: (end_point(X0,X1)|~incident_c(X0,X1)|part_of(sk0_2(X1,X0),X1))),
% 80.91/10.57 inference(cnf_transformation,[status(esa)],[f38])).
% 80.91/10.57 fof(f42,plain,(
% 80.91/10.57 ![X0,X1]: (end_point(X0,X1)|~incident_c(X0,X1)|part_of(sk0_3(X1,X0),X1))),
% 80.91/10.57 inference(cnf_transformation,[status(esa)],[f38])).
% 80.91/10.57 fof(f43,plain,(
% 80.91/10.57 ![X0,X1]: (end_point(X0,X1)|~incident_c(X0,X1)|incident_c(X0,sk0_2(X1,X0)))),
% 80.91/10.57 inference(cnf_transformation,[status(esa)],[f38])).
% 80.91/10.57 fof(f44,plain,(
% 80.91/10.57 ![X0,X1]: (end_point(X0,X1)|~incident_c(X0,X1)|incident_c(X0,sk0_3(X1,X0)))),
% 80.91/10.57 inference(cnf_transformation,[status(esa)],[f38])).
% 80.91/10.57 fof(f45,plain,(
% 80.91/10.57 ![X0,X1]: (end_point(X0,X1)|~incident_c(X0,X1)|~part_of(sk0_2(X1,X0),sk0_3(X1,X0)))),
% 80.91/10.57 inference(cnf_transformation,[status(esa)],[f38])).
% 80.91/10.57 fof(f46,plain,(
% 80.91/10.57 ![X0,X1]: (end_point(X0,X1)|~incident_c(X0,X1)|~part_of(sk0_3(X1,X0),sk0_2(X1,X0)))),
% 80.91/10.57 inference(cnf_transformation,[status(esa)],[f38])).
% 80.91/10.57 fof(f47,plain,(
% 80.91/10.57 ![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))))),
% 80.91/10.57 inference(NNF_transformation,[status(esa)],[f4])).
% 80.91/10.57 fof(f48,plain,(
% 80.91/10.57 (![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))))),
% 80.91/10.57 inference(miniscoping,[status(esa)],[f47])).
% 80.91/10.57 fof(f50,plain,(
% 80.91/10.57 ![X0,X1]: (~inner_point(X0,X1)|~end_point(X0,X1))),
% 80.91/10.57 inference(cnf_transformation,[status(esa)],[f48])).
% 80.91/10.57 fof(f80,plain,(
% 80.91/10.57 ![C]: inner_point(sk0_7(C),C)),
% 80.91/10.57 inference(skolemization,[status(esa)],[f10])).
% 80.91/10.57 fof(f81,plain,(
% 80.91/10.57 ![X0]: (inner_point(sk0_7(X0),X0))),
% 80.91/10.57 inference(cnf_transformation,[status(esa)],[f80])).
% 80.91/10.57 fof(f89,plain,(
% 80.91/10.57 ![C,P]: (~end_point(P,C)|(?[Q]: (end_point(Q,C)&~P=Q)))),
% 80.91/10.57 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 80.91/10.57 fof(f90,plain,(
% 80.91/10.57 ![C,P]: (~end_point(P,C)|(end_point(sk0_10(P,C),C)&~P=sk0_10(P,C)))),
% 80.91/10.57 inference(skolemization,[status(esa)],[f89])).
% 80.91/10.57 fof(f91,plain,(
% 80.91/10.57 ![X0,X1]: (~end_point(X0,X1)|end_point(sk0_10(X0,X1),X1))),
% 80.91/10.57 inference(cnf_transformation,[status(esa)],[f90])).
% 80.91/10.57 fof(f104,plain,(
% 80.91/10.57 (?[C,Cpp,P]: (((part_of(Cpp,C)&end_point(P,C))&incident_c(P,Cpp))&~end_point(P,Cpp)))),
% 80.91/10.57 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 80.91/10.57 fof(f105,plain,(
% 80.91/10.57 ?[Cpp,P]: (((?[C]: (part_of(Cpp,C)&end_point(P,C)))&incident_c(P,Cpp))&~end_point(P,Cpp))),
% 80.91/10.57 inference(miniscoping,[status(esa)],[f104])).
% 80.91/10.57 fof(f106,plain,(
% 80.91/10.57 (((part_of(sk0_13,sk0_15)&end_point(sk0_14,sk0_15))&incident_c(sk0_14,sk0_13))&~end_point(sk0_14,sk0_13))),
% 80.91/10.57 inference(skolemization,[status(esa)],[f105])).
% 80.91/10.57 fof(f107,plain,(
% 80.91/10.57 part_of(sk0_13,sk0_15)),
% 80.91/10.57 inference(cnf_transformation,[status(esa)],[f106])).
% 80.91/10.57 fof(f108,plain,(
% 80.91/10.57 end_point(sk0_14,sk0_15)),
% 80.91/10.57 inference(cnf_transformation,[status(esa)],[f106])).
% 80.91/10.57 fof(f109,plain,(
% 80.91/10.57 incident_c(sk0_14,sk0_13)),
% 80.91/10.57 inference(cnf_transformation,[status(esa)],[f106])).
% 80.91/10.57 fof(f110,plain,(
% 80.91/10.57 ~end_point(sk0_14,sk0_13)),
% 80.91/10.57 inference(cnf_transformation,[status(esa)],[f106])).
% 80.91/10.57 fof(f130,plain,(
% 80.91/10.57 ![X0,X1]: (~part_of(X0,sk0_15)|~part_of(X1,sk0_15)|~incident_c(sk0_14,X0)|~incident_c(sk0_14,X1)|part_of(X0,X1)|part_of(X1,X0))),
% 80.91/10.57 inference(resolution,[status(thm)],[f40,f108])).
% 80.91/10.57 fof(f134,plain,(
% 80.91/10.57 spl0_3 <=> incident_c(sk0_14,sk0_13)),
% 80.91/10.57 introduced(split_symbol_definition)).
% 80.91/10.57 fof(f136,plain,(
% 80.91/10.57 ~incident_c(sk0_14,sk0_13)|spl0_3),
% 80.91/10.57 inference(component_clause,[status(thm)],[f134])).
% 80.91/10.57 fof(f165,plain,(
% 80.91/10.57 $false|spl0_3),
% 80.91/10.57 inference(forward_subsumption_resolution,[status(thm)],[f136,f109])).
% 80.91/10.57 fof(f166,plain,(
% 80.91/10.57 spl0_3),
% 80.91/10.57 inference(contradiction_clause,[status(thm)],[f165])).
% 80.91/10.57 fof(f204,plain,(
% 80.91/10.57 spl0_12 <=> end_point(sk0_14,sk0_13)),
% 80.91/10.57 introduced(split_symbol_definition)).
% 80.91/10.57 fof(f205,plain,(
% 80.91/10.57 end_point(sk0_14,sk0_13)|~spl0_12),
% 80.91/10.57 inference(component_clause,[status(thm)],[f204])).
% 80.91/10.57 fof(f224,plain,(
% 80.91/10.57 ![X0,X1,X2]: (part_of(X0,X1)|~part_of(X0,X2)|incident_c(sk0_0(X0,X1),X2))),
% 80.91/10.57 inference(resolution,[status(thm)],[f24,f23])).
% 80.91/10.57 fof(f227,plain,(
% 80.91/10.57 ![X0]: (~end_point(sk0_7(X0),X0))),
% 80.91/10.57 inference(resolution,[status(thm)],[f50,f81])).
% 80.91/10.57 fof(f400,plain,(
% 80.91/10.57 ![X0,X1,X2,X3]: (part_of(X0,X1)|~part_of(X0,X2)|~part_of(X2,X3)|incident_c(sk0_0(X0,X1),X3))),
% 80.91/10.57 inference(resolution,[status(thm)],[f224,f23])).
% 80.91/10.57 fof(f453,plain,(
% 80.91/10.57 ![X0,X1,X2]: (part_of(X0,X1)|~part_of(X0,X2)|~part_of(X2,X1)|part_of(X0,X1))),
% 80.91/10.57 inference(resolution,[status(thm)],[f400,f25])).
% 80.91/10.57 fof(f454,plain,(
% 80.91/10.57 ![X0,X1,X2]: (part_of(X0,X1)|~part_of(X0,X2)|~part_of(X2,X1))),
% 80.91/10.57 inference(duplicate_literals_removal,[status(esa)],[f453])).
% 80.91/10.57 fof(f457,plain,(
% 80.91/10.57 ![X0]: (part_of(X0,sk0_15)|~part_of(X0,sk0_13))),
% 80.91/10.57 inference(resolution,[status(thm)],[f454,f107])).
% 80.91/10.57 fof(f558,plain,(
% 80.91/10.57 ![X0,X1]: (end_point(sk0_14,X0)|~incident_c(sk0_14,X0)|~part_of(X1,sk0_15)|~part_of(sk0_2(X0,sk0_14),sk0_15)|~incident_c(sk0_14,X1)|part_of(X1,sk0_2(X0,sk0_14))|part_of(sk0_2(X0,sk0_14),X1))),
% 80.91/10.57 inference(resolution,[status(thm)],[f43,f130])).
% 80.91/10.57 fof(f940,plain,(
% 80.91/10.57 $false|~spl0_12),
% 80.91/10.57 inference(forward_subsumption_resolution,[status(thm)],[f205,f110])).
% 80.91/10.57 fof(f941,plain,(
% 80.91/10.57 ~spl0_12),
% 80.91/10.57 inference(contradiction_clause,[status(thm)],[f940])).
% 80.91/10.57 fof(f995,plain,(
% 80.91/10.57 ![X0]: (end_point(X0,sk0_13)|~incident_c(X0,sk0_13)|part_of(sk0_2(sk0_13,X0),sk0_15))),
% 80.91/10.57 inference(resolution,[status(thm)],[f41,f457])).
% 80.91/10.57 fof(f1163,plain,(
% 80.91/10.57 spl0_72 <=> end_point(sk0_10(sk0_14,sk0_15),sk0_15)),
% 80.91/10.57 introduced(split_symbol_definition)).
% 80.91/10.57 fof(f1165,plain,(
% 80.91/10.57 ~end_point(sk0_10(sk0_14,sk0_15),sk0_15)|spl0_72),
% 80.91/10.57 inference(component_clause,[status(thm)],[f1163])).
% 80.91/10.57 fof(f1168,plain,(
% 80.91/10.57 ~end_point(sk0_14,sk0_15)|spl0_72),
% 80.91/10.57 inference(resolution,[status(thm)],[f1165,f91])).
% 80.91/10.57 fof(f1169,plain,(
% 80.91/10.57 $false|spl0_72),
% 80.91/10.57 inference(forward_subsumption_resolution,[status(thm)],[f1168,f108])).
% 80.91/10.57 fof(f1170,plain,(
% 80.91/10.57 spl0_72),
% 80.91/10.57 inference(contradiction_clause,[status(thm)],[f1169])).
% 80.91/10.57 fof(f1401,plain,(
% 80.91/10.57 spl0_100 <=> ~part_of(X0,sk0_15)|~incident_c(sk0_14,X0)|part_of(X0,sk0_2(sk0_13,sk0_14))|part_of(sk0_2(sk0_13,sk0_14),X0)),
% 80.91/10.57 introduced(split_symbol_definition)).
% 80.91/10.57 fof(f1402,plain,(
% 80.91/10.57 ![X0]: (~part_of(X0,sk0_15)|~incident_c(sk0_14,X0)|part_of(X0,sk0_2(sk0_13,sk0_14))|part_of(sk0_2(sk0_13,sk0_14),X0)|~spl0_100)),
% 80.91/10.57 inference(component_clause,[status(thm)],[f1401])).
% 80.91/10.57 fof(f1404,plain,(
% 80.91/10.57 ![X0]: (end_point(sk0_14,sk0_13)|~incident_c(sk0_14,sk0_13)|end_point(sk0_14,sk0_13)|~incident_c(sk0_14,sk0_13)|~part_of(X0,sk0_15)|~incident_c(sk0_14,X0)|part_of(X0,sk0_2(sk0_13,sk0_14))|part_of(sk0_2(sk0_13,sk0_14),X0))),
% 80.91/10.57 inference(resolution,[status(thm)],[f995,f558])).
% 80.91/10.57 fof(f1405,plain,(
% 80.91/10.57 spl0_12|~spl0_3|spl0_100),
% 80.91/10.57 inference(split_clause,[status(thm)],[f1404,f204,f134,f1401])).
% 80.91/10.57 fof(f1504,plain,(
% 80.91/10.57 spl0_112 <=> end_point(sk0_7(sk0_13),sk0_13)),
% 80.91/10.57 introduced(split_symbol_definition)).
% 80.91/10.57 fof(f1505,plain,(
% 80.91/10.57 end_point(sk0_7(sk0_13),sk0_13)|~spl0_112),
% 80.91/10.57 inference(component_clause,[status(thm)],[f1504])).
% 80.91/10.57 fof(f1518,plain,(
% 80.91/10.57 $false|~spl0_112),
% 80.91/10.57 inference(forward_subsumption_resolution,[status(thm)],[f1505,f227])).
% 80.91/10.57 fof(f1519,plain,(
% 80.91/10.57 ~spl0_112),
% 80.91/10.57 inference(contradiction_clause,[status(thm)],[f1518])).
% 80.91/10.57 fof(f1525,plain,(
% 80.91/10.57 spl0_115 <=> part_of(sk0_3(sk0_13,sk0_14),sk0_13)),
% 80.91/10.57 introduced(split_symbol_definition)).
% 80.91/10.57 fof(f1526,plain,(
% 80.91/10.57 part_of(sk0_3(sk0_13,sk0_14),sk0_13)|~spl0_115),
% 80.91/10.57 inference(component_clause,[status(thm)],[f1525])).
% 80.91/10.57 fof(f1527,plain,(
% 80.91/10.57 ~part_of(sk0_3(sk0_13,sk0_14),sk0_13)|spl0_115),
% 80.91/10.57 inference(component_clause,[status(thm)],[f1525])).
% 80.91/10.57 fof(f1573,plain,(
% 80.91/10.57 spl0_119 <=> ~part_of(sk0_13,X1)|~part_of(sk0_13,X1)|~part_of(sk0_13,X1)),
% 80.91/10.57 introduced(split_symbol_definition)).
% 80.91/10.57 fof(f1574,plain,(
% 80.91/10.57 ![X0]: (~part_of(sk0_13,X0)|~part_of(sk0_13,X0)|~part_of(sk0_13,X0)|~spl0_119)),
% 80.91/10.57 inference(component_clause,[status(thm)],[f1573])).
% 80.91/10.57 fof(f1759,plain,(
% 80.91/10.57 ![X0]: (~part_of(sk0_13,X0)|~spl0_119)),
% 80.91/10.57 inference(duplicate_literals_removal,[status(esa)],[f1574])).
% 80.91/10.57 fof(f1782,plain,(
% 80.91/10.57 $false|~spl0_119),
% 80.91/10.57 inference(backward_subsumption_resolution,[status(thm)],[f107,f1759])).
% 80.91/10.57 fof(f1783,plain,(
% 80.91/10.57 ~spl0_119),
% 80.91/10.57 inference(contradiction_clause,[status(thm)],[f1782])).
% 80.91/10.57 fof(f2188,plain,(
% 80.91/10.57 spl0_150 <=> sk0_6(sk0_13)=sk0_6(sk0_13)),
% 80.91/10.57 introduced(split_symbol_definition)).
% 80.91/10.57 fof(f2190,plain,(
% 80.91/10.57 ~sk0_6(sk0_13)=sk0_6(sk0_13)|spl0_150),
% 80.91/10.57 inference(component_clause,[status(thm)],[f2188])).
% 80.91/10.57 fof(f2193,plain,(
% 80.91/10.57 $false|spl0_150),
% 80.91/10.57 inference(trivial_equality_resolution,[status(esa)],[f2190])).
% 80.91/10.57 fof(f2194,plain,(
% 80.91/10.57 spl0_150),
% 80.91/10.57 inference(contradiction_clause,[status(thm)],[f2193])).
% 80.91/10.57 fof(f2198,plain,(
% 80.91/10.57 spl0_152 <=> sk0_5(sk0_13)=sk0_5(sk0_13)),
% 80.91/10.57 introduced(split_symbol_definition)).
% 80.91/10.57 fof(f2200,plain,(
% 80.91/10.57 ~sk0_5(sk0_13)=sk0_5(sk0_13)|spl0_152),
% 80.91/10.57 inference(component_clause,[status(thm)],[f2198])).
% 80.91/10.57 fof(f2203,plain,(
% 80.91/10.57 $false|spl0_152),
% 80.91/10.57 inference(trivial_equality_resolution,[status(esa)],[f2200])).
% 80.91/10.57 fof(f2204,plain,(
% 80.91/10.57 spl0_152),
% 80.91/10.57 inference(contradiction_clause,[status(thm)],[f2203])).
% 80.91/10.57 fof(f2454,plain,(
% 80.91/10.57 part_of(sk0_3(sk0_13,sk0_14),sk0_15)|~spl0_115),
% 80.91/10.57 inference(resolution,[status(thm)],[f1526,f457])).
% 80.91/10.57 fof(f2745,plain,(
% 80.91/10.57 end_point(sk0_14,sk0_13)|~incident_c(sk0_14,sk0_13)|spl0_115),
% 80.91/10.57 inference(resolution,[status(thm)],[f1527,f42])).
% 80.91/10.57 fof(f2746,plain,(
% 80.91/10.57 spl0_12|~spl0_3|spl0_115),
% 80.91/10.57 inference(split_clause,[status(thm)],[f2745,f204,f134,f1525])).
% 80.91/10.57 fof(f2768,plain,(
% 80.91/10.57 spl0_198 <=> part_of(sk0_3(sk0_13,sk0_14),sk0_15)),
% 80.91/10.57 introduced(split_symbol_definition)).
% 80.91/10.57 fof(f2770,plain,(
% 80.91/10.57 ~part_of(sk0_3(sk0_13,sk0_14),sk0_15)|spl0_198),
% 80.91/10.57 inference(component_clause,[status(thm)],[f2768])).
% 80.91/10.57 fof(f2771,plain,(
% 80.91/10.57 spl0_199 <=> incident_c(sk0_14,sk0_3(sk0_13,sk0_14))),
% 80.91/10.57 introduced(split_symbol_definition)).
% 80.91/10.57 fof(f2773,plain,(
% 80.91/10.57 ~incident_c(sk0_14,sk0_3(sk0_13,sk0_14))|spl0_199),
% 80.91/10.57 inference(component_clause,[status(thm)],[f2771])).
% 80.91/10.57 fof(f2774,plain,(
% 80.91/10.57 spl0_200 <=> part_of(sk0_3(sk0_13,sk0_14),sk0_2(sk0_13,sk0_14))),
% 80.91/10.57 introduced(split_symbol_definition)).
% 80.91/10.57 fof(f2775,plain,(
% 80.91/10.57 part_of(sk0_3(sk0_13,sk0_14),sk0_2(sk0_13,sk0_14))|~spl0_200),
% 80.91/10.57 inference(component_clause,[status(thm)],[f2774])).
% 80.91/10.57 fof(f2777,plain,(
% 80.91/10.57 ~part_of(sk0_3(sk0_13,sk0_14),sk0_15)|~incident_c(sk0_14,sk0_3(sk0_13,sk0_14))|part_of(sk0_3(sk0_13,sk0_14),sk0_2(sk0_13,sk0_14))|end_point(sk0_14,sk0_13)|~incident_c(sk0_14,sk0_13)|~spl0_100),
% 80.91/10.57 inference(resolution,[status(thm)],[f1402,f45])).
% 80.91/10.57 fof(f2778,plain,(
% 80.91/10.57 ~spl0_198|~spl0_199|spl0_200|spl0_12|~spl0_3|~spl0_100),
% 80.91/10.57 inference(split_clause,[status(thm)],[f2777,f2768,f2771,f2774,f204,f134,f1401])).
% 80.91/10.57 fof(f2845,plain,(
% 80.91/10.57 $false|~spl0_115|spl0_198),
% 80.91/10.57 inference(forward_subsumption_resolution,[status(thm)],[f2770,f2454])).
% 80.91/10.57 fof(f2846,plain,(
% 80.91/10.57 ~spl0_115|spl0_198),
% 80.91/10.57 inference(contradiction_clause,[status(thm)],[f2845])).
% 80.91/10.57 fof(f9113,plain,(
% 80.91/10.57 end_point(sk0_14,sk0_13)|~incident_c(sk0_14,sk0_13)|spl0_199),
% 80.91/10.57 inference(resolution,[status(thm)],[f2773,f44])).
% 80.91/10.57 fof(f9114,plain,(
% 80.91/10.57 spl0_12|~spl0_3|spl0_199),
% 80.91/10.57 inference(split_clause,[status(thm)],[f9113,f204,f134,f2771])).
% 80.91/10.57 fof(f9155,plain,(
% 80.91/10.57 end_point(sk0_14,sk0_13)|~incident_c(sk0_14,sk0_13)|~spl0_200),
% 80.91/10.57 inference(resolution,[status(thm)],[f2775,f46])).
% 80.91/10.57 fof(f9156,plain,(
% 80.91/10.57 spl0_12|~spl0_3|~spl0_200),
% 80.91/10.57 inference(split_clause,[status(thm)],[f9155,f204,f134,f2774])).
% 80.91/10.57 fof(f9176,plain,(
% 80.91/10.57 $false),
% 80.91/10.57 inference(sat_refutation,[status(thm)],[f166,f941,f1170,f1405,f1519,f1783,f2194,f2204,f2746,f2778,f2846,f9114,f9156])).
% 80.91/10.57 % SZS output end CNFRefutation for theBenchmark.p
% 81.51/10.61 % Elapsed time: 10.254873 seconds
% 81.51/10.61 % CPU time: 81.424300 seconds
% 81.51/10.61 % Memory used: 293.024 MB
%------------------------------------------------------------------------------