TSTP Solution File: GEO082+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO082+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:07:42 EDT 2023
% Result : Theorem 0.07s 0.30s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GEO082+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.25 % Computer : n009.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Tue May 30 11:54:46 EDT 2023
% 0.07/0.25 % CPUTime :
% 0.07/0.26 % Drodi V3.5.1
% 0.07/0.30 % Refutation found
% 0.07/0.30 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.30 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.30 fof(f1,axiom,(
% 0.07/0.30 (! [C,C1] :( part_of(C1,C)<=> (! [P] :( incident_c(P,C1)=> incident_c(P,C) ) )) )),
% 0.07/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.30 fof(f2,axiom,(
% 0.07/0.30 (! [C,C1,C2] :( C = sum(C1,C2)<=> (! [Q] :( incident_c(Q,C)<=> ( incident_c(Q,C1)| incident_c(Q,C2) ) ) )) )),
% 0.07/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.30 fof(f10,axiom,(
% 0.07/0.30 (! [C] :(? [P] : inner_point(P,C) ))),
% 0.07/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.30 fof(f11,axiom,(
% 0.07/0.30 (! [C,P] :( inner_point(P,C)=> (? [C1,C2] :( meet(P,C1,C2)& C = sum(C1,C2) ) )) )),
% 0.07/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.30 fof(f17,conjecture,(
% 0.07/0.30 (! [C1,C2] :( ( part_of(C1,C2)& part_of(C2,C1) )=> C1 = C2 ) )),
% 0.07/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.30 fof(f18,negated_conjecture,(
% 0.07/0.30 ~((! [C1,C2] :( ( part_of(C1,C2)& part_of(C2,C1) )=> C1 = C2 ) ))),
% 0.07/0.30 inference(negated_conjecture,[status(cth)],[f17])).
% 0.07/0.30 fof(f19,plain,(
% 0.07/0.30 ![C,C1]: (part_of(C1,C)<=>(![P]: (~incident_c(P,C1)|incident_c(P,C))))),
% 0.07/0.30 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.07/0.30 fof(f20,plain,(
% 0.07/0.30 ![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)))))),
% 0.07/0.30 inference(NNF_transformation,[status(esa)],[f19])).
% 0.07/0.30 fof(f21,plain,(
% 0.07/0.30 (![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)))))),
% 0.07/0.30 inference(miniscoping,[status(esa)],[f20])).
% 0.07/0.30 fof(f22,plain,(
% 0.07/0.30 (![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))))),
% 0.07/0.30 inference(skolemization,[status(esa)],[f21])).
% 0.07/0.30 fof(f23,plain,(
% 0.07/0.30 ![X0,X1,X2]: (~part_of(X0,X1)|~incident_c(X2,X0)|incident_c(X2,X1))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f22])).
% 0.07/0.30 fof(f24,plain,(
% 0.07/0.30 ![X0,X1]: (part_of(X0,X1)|incident_c(sk0_0(X0,X1),X0))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f22])).
% 0.07/0.30 fof(f25,plain,(
% 0.07/0.30 ![X0,X1]: (part_of(X0,X1)|~incident_c(sk0_0(X0,X1),X1))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f22])).
% 0.07/0.30 fof(f26,plain,(
% 0.07/0.30 ![C,C1,C2]: ((~C=sum(C1,C2)|(![Q]: ((~incident_c(Q,C)|(incident_c(Q,C1)|incident_c(Q,C2)))&(incident_c(Q,C)|(~incident_c(Q,C1)&~incident_c(Q,C2))))))&(C=sum(C1,C2)|(?[Q]: ((~incident_c(Q,C)|(~incident_c(Q,C1)&~incident_c(Q,C2)))&(incident_c(Q,C)|(incident_c(Q,C1)|incident_c(Q,C2)))))))),
% 0.07/0.30 inference(NNF_transformation,[status(esa)],[f2])).
% 0.07/0.30 fof(f27,plain,(
% 0.07/0.30 (![C,C1,C2]: (~C=sum(C1,C2)|((![Q]: (~incident_c(Q,C)|(incident_c(Q,C1)|incident_c(Q,C2))))&(![Q]: (incident_c(Q,C)|(~incident_c(Q,C1)&~incident_c(Q,C2)))))))&(![C,C1,C2]: (C=sum(C1,C2)|(?[Q]: ((~incident_c(Q,C)|(~incident_c(Q,C1)&~incident_c(Q,C2)))&(incident_c(Q,C)|(incident_c(Q,C1)|incident_c(Q,C2)))))))),
% 0.07/0.30 inference(miniscoping,[status(esa)],[f26])).
% 0.07/0.30 fof(f28,plain,(
% 0.07/0.30 (![C,C1,C2]: (~C=sum(C1,C2)|((![Q]: (~incident_c(Q,C)|(incident_c(Q,C1)|incident_c(Q,C2))))&(![Q]: (incident_c(Q,C)|(~incident_c(Q,C1)&~incident_c(Q,C2)))))))&(![C,C1,C2]: (C=sum(C1,C2)|((~incident_c(sk0_1(C2,C1,C),C)|(~incident_c(sk0_1(C2,C1,C),C1)&~incident_c(sk0_1(C2,C1,C),C2)))&(incident_c(sk0_1(C2,C1,C),C)|(incident_c(sk0_1(C2,C1,C),C1)|incident_c(sk0_1(C2,C1,C),C2))))))),
% 0.07/0.30 inference(skolemization,[status(esa)],[f27])).
% 0.07/0.30 fof(f30,plain,(
% 0.07/0.30 ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|incident_c(X3,X0)|~incident_c(X3,X1))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f28])).
% 0.07/0.30 fof(f33,plain,(
% 0.07/0.30 ![X0,X1,X2]: (X0=sum(X1,X2)|~incident_c(sk0_1(X2,X1,X0),X0)|~incident_c(sk0_1(X2,X1,X0),X2))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f28])).
% 0.07/0.30 fof(f34,plain,(
% 0.07/0.30 ![X0,X1,X2]: (X0=sum(X1,X2)|incident_c(sk0_1(X2,X1,X0),X0)|incident_c(sk0_1(X2,X1,X0),X1)|incident_c(sk0_1(X2,X1,X0),X2))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f28])).
% 0.07/0.30 fof(f80,plain,(
% 0.07/0.30 ![C]: inner_point(sk0_7(C),C)),
% 0.07/0.30 inference(skolemization,[status(esa)],[f10])).
% 0.07/0.30 fof(f81,plain,(
% 0.07/0.30 ![X0]: (inner_point(sk0_7(X0),X0))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f80])).
% 0.07/0.30 fof(f82,plain,(
% 0.07/0.30 ![C,P]: (~inner_point(P,C)|(?[C1,C2]: (meet(P,C1,C2)&C=sum(C1,C2))))),
% 0.07/0.30 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.07/0.30 fof(f83,plain,(
% 0.07/0.30 ![C,P]: (~inner_point(P,C)|(meet(P,sk0_8(P,C),sk0_9(P,C))&C=sum(sk0_8(P,C),sk0_9(P,C))))),
% 0.07/0.30 inference(skolemization,[status(esa)],[f82])).
% 0.07/0.30 fof(f85,plain,(
% 0.07/0.30 ![X0,X1]: (~inner_point(X0,X1)|X1=sum(sk0_8(X0,X1),sk0_9(X0,X1)))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f83])).
% 0.07/0.30 fof(f104,plain,(
% 0.07/0.30 (?[C1,C2]: ((part_of(C1,C2)&part_of(C2,C1))&~C1=C2))),
% 0.07/0.30 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.07/0.30 fof(f105,plain,(
% 0.07/0.30 ((part_of(sk0_13,sk0_14)&part_of(sk0_14,sk0_13))&~sk0_13=sk0_14)),
% 0.07/0.30 inference(skolemization,[status(esa)],[f104])).
% 0.07/0.30 fof(f106,plain,(
% 0.07/0.30 part_of(sk0_13,sk0_14)),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f105])).
% 0.07/0.30 fof(f107,plain,(
% 0.07/0.30 part_of(sk0_14,sk0_13)),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f105])).
% 0.07/0.30 fof(f108,plain,(
% 0.07/0.30 ~sk0_13=sk0_14),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f105])).
% 0.07/0.30 fof(f110,plain,(
% 0.07/0.30 ![X0,X1,X2]: (incident_c(X0,sum(X1,X2))|~incident_c(X0,X1))),
% 0.07/0.30 inference(destructive_equality_resolution,[status(esa)],[f30])).
% 0.07/0.30 fof(f116,plain,(
% 0.07/0.30 ![X0]: (part_of(X0,X0)|part_of(X0,X0))),
% 0.07/0.30 inference(resolution,[status(thm)],[f25,f24])).
% 0.07/0.30 fof(f117,plain,(
% 0.07/0.30 ![X0]: (part_of(X0,X0))),
% 0.07/0.30 inference(duplicate_literals_removal,[status(esa)],[f116])).
% 0.07/0.30 fof(f118,plain,(
% 0.07/0.30 ![X0,X1,X2]: (part_of(X0,X1)|~part_of(X2,X1)|~incident_c(sk0_0(X0,X1),X2))),
% 0.07/0.30 inference(resolution,[status(thm)],[f25,f23])).
% 0.07/0.30 fof(f130,plain,(
% 0.07/0.30 spl0_0 <=> sk0_14=sk0_13),
% 0.07/0.30 introduced(split_symbol_definition)).
% 0.07/0.30 fof(f131,plain,(
% 0.07/0.30 sk0_14=sk0_13|~spl0_0),
% 0.07/0.30 inference(component_clause,[status(thm)],[f130])).
% 0.07/0.30 fof(f143,plain,(
% 0.07/0.30 $false|~spl0_0),
% 0.07/0.30 inference(forward_subsumption_resolution,[status(thm)],[f131,f108])).
% 0.07/0.30 fof(f144,plain,(
% 0.07/0.30 ~spl0_0),
% 0.07/0.30 inference(contradiction_clause,[status(thm)],[f143])).
% 0.07/0.30 fof(f157,plain,(
% 0.07/0.30 ![X0,X1,X2]: (~incident_c(sk0_0(X0,sum(X1,X2)),X1)|part_of(X0,sum(X1,X2)))),
% 0.07/0.30 inference(resolution,[status(thm)],[f110,f25])).
% 0.07/0.30 fof(f173,plain,(
% 0.07/0.30 ![X0,X1,X2,X3]: (X0=sum(X1,X2)|~incident_c(sk0_1(X2,X1,X0),X0)|~part_of(X3,X2)|~incident_c(sk0_1(X2,X1,X0),X3))),
% 0.07/0.30 inference(resolution,[status(thm)],[f33,f23])).
% 0.07/0.30 fof(f272,plain,(
% 0.07/0.30 spl0_15 <=> ~part_of(sk0_14,X0)|~part_of(sk0_14,X0)|~part_of(sk0_14,X0)),
% 0.07/0.30 introduced(split_symbol_definition)).
% 0.07/0.30 fof(f273,plain,(
% 0.07/0.30 ![X0]: (~part_of(sk0_14,X0)|~part_of(sk0_14,X0)|~part_of(sk0_14,X0)|~spl0_15)),
% 0.07/0.30 inference(component_clause,[status(thm)],[f272])).
% 0.07/0.30 fof(f382,plain,(
% 0.07/0.30 spl0_29 <=> ~part_of(sk0_13,X0)|~part_of(sk0_13,X0)|~part_of(sk0_13,X0)),
% 0.07/0.30 introduced(split_symbol_definition)).
% 0.07/0.30 fof(f383,plain,(
% 0.07/0.30 ![X0]: (~part_of(sk0_13,X0)|~part_of(sk0_13,X0)|~part_of(sk0_13,X0)|~spl0_29)),
% 0.07/0.30 inference(component_clause,[status(thm)],[f382])).
% 0.07/0.30 fof(f402,plain,(
% 0.07/0.30 ![X0]: (part_of(X0,sk0_13)|~incident_c(sk0_0(X0,sk0_13),sk0_14))),
% 0.07/0.30 inference(resolution,[status(thm)],[f118,f107])).
% 0.07/0.30 fof(f403,plain,(
% 0.07/0.30 ![X0]: (part_of(X0,sk0_14)|~incident_c(sk0_0(X0,sk0_14),sk0_13))),
% 0.07/0.30 inference(resolution,[status(thm)],[f118,f106])).
% 0.07/0.30 fof(f405,plain,(
% 0.07/0.30 spl0_31 <=> part_of(sk0_14,sk0_13)),
% 0.07/0.30 introduced(split_symbol_definition)).
% 0.07/0.30 fof(f408,plain,(
% 0.07/0.30 part_of(sk0_14,sk0_13)|part_of(sk0_14,sk0_13)),
% 0.07/0.30 inference(resolution,[status(thm)],[f402,f24])).
% 0.07/0.30 fof(f409,plain,(
% 0.07/0.30 spl0_31),
% 0.07/0.30 inference(split_clause,[status(thm)],[f408,f405])).
% 0.07/0.30 fof(f410,plain,(
% 0.07/0.30 ![X0,X1]: (part_of(X0,sk0_13)|~part_of(X1,sk0_14)|~incident_c(sk0_0(X0,sk0_13),X1))),
% 0.07/0.30 inference(resolution,[status(thm)],[f402,f23])).
% 0.07/0.30 fof(f411,plain,(
% 0.07/0.30 spl0_32 <=> part_of(sk0_13,sk0_14)),
% 0.07/0.30 introduced(split_symbol_definition)).
% 0.07/0.30 fof(f414,plain,(
% 0.07/0.30 part_of(sk0_13,sk0_14)|part_of(sk0_13,sk0_14)),
% 0.07/0.30 inference(resolution,[status(thm)],[f403,f24])).
% 0.07/0.30 fof(f415,plain,(
% 0.07/0.30 spl0_32),
% 0.07/0.30 inference(split_clause,[status(thm)],[f414,f411])).
% 0.07/0.30 fof(f416,plain,(
% 0.07/0.30 ![X0,X1]: (part_of(X0,sk0_14)|~part_of(X1,sk0_13)|~incident_c(sk0_0(X0,sk0_14),X1))),
% 0.07/0.30 inference(resolution,[status(thm)],[f403,f23])).
% 0.07/0.30 fof(f429,plain,(
% 0.07/0.30 ![X0,X1,X2,X3,X4]: (X0=sum(X1,X2)|~part_of(X3,X2)|~incident_c(sk0_1(X2,X1,X0),X3)|~part_of(X4,X0)|~incident_c(sk0_1(X2,X1,X0),X4))),
% 0.07/0.30 inference(resolution,[status(thm)],[f173,f23])).
% 0.07/0.30 fof(f529,plain,(
% 0.07/0.30 ![X0,X1]: (X0=sum(X0,X0)|X0=sum(X0,X0)|~part_of(X1,X0)|~incident_c(sk0_1(X0,X0,X0),X1)|~part_of(X0,X0))),
% 0.07/0.30 inference(resolution,[status(thm)],[f34,f429])).
% 0.07/0.30 fof(f530,plain,(
% 0.07/0.30 ![X0,X1]: (X0=sum(X0,X0)|~part_of(X1,X0)|~incident_c(sk0_1(X0,X0,X0),X1)|~part_of(X0,X0))),
% 0.07/0.30 inference(duplicate_literals_removal,[status(esa)],[f529])).
% 0.07/0.30 fof(f531,plain,(
% 0.07/0.30 ![X0,X1]: (X0=sum(X0,X0)|~part_of(X1,X0)|~incident_c(sk0_1(X0,X0,X0),X1))),
% 0.07/0.30 inference(forward_subsumption_resolution,[status(thm)],[f530,f117])).
% 0.07/0.30 fof(f559,plain,(
% 0.07/0.30 ![X0,X1,X2]: (X0=sum(X1,X1)|incident_c(sk0_1(X1,X1,X0),X0)|X0=sum(X1,X1)|~part_of(X2,X1)|~incident_c(sk0_1(X1,X1,X0),X2)|~part_of(X1,X0))),
% 0.07/0.30 inference(resolution,[status(thm)],[f34,f429])).
% 0.07/0.30 fof(f560,plain,(
% 0.07/0.30 ![X0,X1,X2]: (X0=sum(X1,X1)|incident_c(sk0_1(X1,X1,X0),X0)|~part_of(X2,X1)|~incident_c(sk0_1(X1,X1,X0),X2)|~part_of(X1,X0))),
% 0.07/0.30 inference(duplicate_literals_removal,[status(esa)],[f559])).
% 0.07/0.30 fof(f561,plain,(
% 0.07/0.30 ![X0,X1,X2]: (X0=sum(X1,X1)|~part_of(X2,X1)|~incident_c(sk0_1(X1,X1,X0),X2)|~part_of(X1,X0))),
% 0.07/0.30 inference(forward_subsumption_resolution,[status(thm)],[f560,f173])).
% 0.07/0.30 fof(f821,plain,(
% 0.07/0.30 ![X0]: (X0=sum(X0,X0)|~incident_c(sk0_1(X0,X0,X0),X0))),
% 0.07/0.30 inference(resolution,[status(thm)],[f531,f117])).
% 0.07/0.30 fof(f822,plain,(
% 0.07/0.30 ![X0]: (X0=sum(X0,X0)|X0=sum(X0,X0))),
% 0.07/0.30 inference(resolution,[status(thm)],[f821,f34])).
% 0.07/0.30 fof(f823,plain,(
% 0.07/0.30 ![X0]: (X0=sum(X0,X0))),
% 0.07/0.30 inference(duplicate_literals_removal,[status(esa)],[f822])).
% 0.07/0.30 fof(f888,plain,(
% 0.07/0.30 ![X0]: (X0=sum(sk0_8(sk0_7(X0),X0),sk0_9(sk0_7(X0),X0)))),
% 0.07/0.30 inference(resolution,[status(thm)],[f85,f81])).
% 0.07/0.30 fof(f1049,plain,(
% 0.07/0.30 ![X0]: (~part_of(sk0_13,X0)|~spl0_29)),
% 0.07/0.30 inference(duplicate_literals_removal,[status(esa)],[f383])).
% 0.07/0.30 fof(f1053,plain,(
% 0.07/0.30 ![X0]: (~part_of(sk0_14,X0)|~spl0_15)),
% 0.07/0.30 inference(duplicate_literals_removal,[status(esa)],[f273])).
% 0.07/0.30 fof(f1058,plain,(
% 0.07/0.30 $false|~spl0_29),
% 0.07/0.30 inference(backward_subsumption_resolution,[status(thm)],[f106,f1049])).
% 0.07/0.30 fof(f1059,plain,(
% 0.07/0.30 ~spl0_29),
% 0.07/0.30 inference(contradiction_clause,[status(thm)],[f1058])).
% 0.07/0.30 fof(f1079,plain,(
% 0.07/0.30 $false|~spl0_15),
% 0.07/0.30 inference(backward_subsumption_resolution,[status(thm)],[f107,f1053])).
% 0.07/0.30 fof(f1080,plain,(
% 0.07/0.30 ~spl0_15),
% 0.07/0.30 inference(contradiction_clause,[status(thm)],[f1079])).
% 0.07/0.30 fof(f1264,plain,(
% 0.07/0.30 ![X0,X1,X2]: (X0=X1|~part_of(X2,X1)|~incident_c(sk0_1(X1,X1,X0),X2)|~part_of(X1,X0))),
% 0.07/0.30 inference(forward_demodulation,[status(thm)],[f823,f561])).
% 0.07/0.30 fof(f1265,plain,(
% 0.07/0.30 ![X0,X1]: (X0=X1|~part_of(X1,X1)|~part_of(X1,X0)|X0=sum(X1,X1)|incident_c(sk0_1(X1,X1,X0),X0)|incident_c(sk0_1(X1,X1,X0),X1))),
% 0.07/0.30 inference(resolution,[status(thm)],[f1264,f34])).
% 0.07/0.30 fof(f1266,plain,(
% 0.07/0.30 ![X0,X1]: (X0=X1|~part_of(X1,X1)|~part_of(X1,X0)|X0=X1|incident_c(sk0_1(X1,X1,X0),X0)|incident_c(sk0_1(X1,X1,X0),X1))),
% 0.07/0.30 inference(forward_demodulation,[status(thm)],[f823,f1265])).
% 0.07/0.30 fof(f1267,plain,(
% 0.07/0.30 ![X0,X1]: (X0=X1|~part_of(X1,X1)|~part_of(X1,X0)|incident_c(sk0_1(X1,X1,X0),X0)|incident_c(sk0_1(X1,X1,X0),X1))),
% 0.07/0.30 inference(duplicate_literals_removal,[status(esa)],[f1266])).
% 0.07/0.30 fof(f1268,plain,(
% 0.07/0.30 ![X0,X1]: (X0=X1|~part_of(X1,X0)|incident_c(sk0_1(X1,X1,X0),X0)|incident_c(sk0_1(X1,X1,X0),X1))),
% 0.07/0.30 inference(forward_subsumption_resolution,[status(thm)],[f1267,f117])).
% 0.07/0.30 fof(f1347,plain,(
% 0.07/0.30 ![X0,X1]: (part_of(X0,sum(X0,X1))|part_of(X0,sum(X0,X1)))),
% 0.07/0.30 inference(resolution,[status(thm)],[f157,f24])).
% 0.07/0.30 fof(f1348,plain,(
% 0.07/0.30 ![X0,X1]: (part_of(X0,sum(X0,X1)))),
% 0.07/0.30 inference(duplicate_literals_removal,[status(esa)],[f1347])).
% 0.07/0.30 fof(f1367,plain,(
% 0.07/0.30 ![X0]: (part_of(sk0_8(sk0_7(X0),X0),X0))),
% 0.07/0.30 inference(paramodulation,[status(thm)],[f888,f1348])).
% 0.07/0.30 fof(f1376,plain,(
% 0.07/0.30 spl0_88 <=> part_of(sk0_8(sk0_7(sk0_13),sk0_13),sk0_14)),
% 0.07/0.30 introduced(split_symbol_definition)).
% 0.07/0.30 fof(f1392,plain,(
% 0.07/0.30 ![X0]: (part_of(X0,sk0_14)|~incident_c(sk0_0(X0,sk0_14),sk0_8(sk0_7(sk0_13),sk0_13)))),
% 0.07/0.30 inference(resolution,[status(thm)],[f1367,f416])).
% 0.07/0.30 fof(f1396,plain,(
% 0.07/0.30 spl0_93 <=> part_of(sk0_8(sk0_7(sk0_14),sk0_14),sk0_13)),
% 0.07/0.30 introduced(split_symbol_definition)).
% 0.11/0.31 fof(f1404,plain,(
% 0.11/0.31 ![X0]: (part_of(X0,sk0_13)|~incident_c(sk0_0(X0,sk0_13),sk0_8(sk0_7(sk0_14),sk0_14)))),
% 0.11/0.31 inference(resolution,[status(thm)],[f1367,f410])).
% 0.11/0.31 fof(f1818,plain,(
% 0.11/0.31 spl0_136 <=> ~part_of(sk0_14,X0)|~part_of(sk0_14,X0)),
% 0.11/0.31 introduced(split_symbol_definition)).
% 0.11/0.31 fof(f1819,plain,(
% 0.11/0.31 ![X0]: (~part_of(sk0_14,X0)|~part_of(sk0_14,X0)|~spl0_136)),
% 0.11/0.31 inference(component_clause,[status(thm)],[f1818])).
% 0.11/0.31 fof(f1830,plain,(
% 0.11/0.31 ![X0]: (~part_of(sk0_14,X0)|~spl0_136)),
% 0.11/0.31 inference(duplicate_literals_removal,[status(esa)],[f1819])).
% 0.11/0.31 fof(f1852,plain,(
% 0.11/0.31 $false|~spl0_136),
% 0.11/0.31 inference(backward_subsumption_resolution,[status(thm)],[f107,f1830])).
% 0.11/0.31 fof(f1853,plain,(
% 0.11/0.31 ~spl0_136),
% 0.11/0.31 inference(contradiction_clause,[status(thm)],[f1852])).
% 0.11/0.31 fof(f2019,plain,(
% 0.11/0.31 part_of(sk0_8(sk0_7(sk0_13),sk0_13),sk0_14)|part_of(sk0_8(sk0_7(sk0_13),sk0_13),sk0_14)),
% 0.11/0.31 inference(resolution,[status(thm)],[f1392,f24])).
% 0.11/0.31 fof(f2020,plain,(
% 0.11/0.31 spl0_88),
% 0.11/0.31 inference(split_clause,[status(thm)],[f2019,f1376])).
% 0.11/0.31 fof(f2022,plain,(
% 0.11/0.31 part_of(sk0_8(sk0_7(sk0_14),sk0_14),sk0_13)|part_of(sk0_8(sk0_7(sk0_14),sk0_14),sk0_13)),
% 0.11/0.31 inference(resolution,[status(thm)],[f1404,f24])).
% 0.11/0.31 fof(f2023,plain,(
% 0.11/0.31 spl0_93),
% 0.11/0.31 inference(split_clause,[status(thm)],[f2022,f1396])).
% 0.11/0.31 fof(f2076,plain,(
% 0.11/0.31 ![X0,X1]: (X0=X1|~part_of(X1,X0)|incident_c(sk0_1(X1,X1,X0),X0))),
% 0.11/0.31 inference(forward_subsumption_resolution,[status(thm)],[f1268,f23])).
% 0.11/0.31 fof(f2077,plain,(
% 0.11/0.31 ![X0,X1]: (X0=X1|~part_of(X1,X0)|X0=X1|~part_of(X0,X1)|~part_of(X1,X0))),
% 0.11/0.31 inference(resolution,[status(thm)],[f2076,f1264])).
% 0.11/0.31 fof(f2078,plain,(
% 0.11/0.31 ![X0,X1]: (X0=X1|~part_of(X1,X0)|~part_of(X0,X1))),
% 0.11/0.31 inference(duplicate_literals_removal,[status(esa)],[f2077])).
% 0.11/0.31 fof(f2097,plain,(
% 0.11/0.31 sk0_14=sk0_13|~part_of(sk0_14,sk0_13)),
% 0.11/0.31 inference(resolution,[status(thm)],[f2078,f106])).
% 0.11/0.31 fof(f2098,plain,(
% 0.11/0.31 spl0_0|~spl0_31),
% 0.11/0.31 inference(split_clause,[status(thm)],[f2097,f130,f405])).
% 0.11/0.31 fof(f2106,plain,(
% 0.11/0.31 $false),
% 0.11/0.31 inference(sat_refutation,[status(thm)],[f144,f409,f415,f1059,f1080,f1853,f2020,f2023,f2098])).
% 0.11/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.31 % Elapsed time: 0.053844 seconds
% 0.11/0.31 % CPU time: 0.348182 seconds
% 0.11/0.31 % Memory used: 25.123 MB
%------------------------------------------------------------------------------