%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO093+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 0.23s 1.06s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO093+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.66 % Computer : n004.cluster.edu
% 0.20/0.66 % Model : x86_64 x86_64
% 0.20/0.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.66 % Memory : 8046.5625MB
% 0.20/0.66 % OS : Linux 6.8.0-71-generic
% 0.20/0.66 % CPULimit : 300
% 0.20/0.66 % WCLimit : 300
% 0.20/0.66 % DateTime : Sun Sep 20 10:36:51 UTC 2026
% 0.20/0.66 % CPUTime :
% 0.20/0.68 % Drodi V4.1.1
% 0.23/1.06 % Refutation found
% 0.23/1.06 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/1.06 % SZS output start CNFRefutation for theBenchmark
% 0.23/1.06 fof(f1,axiom,(
% 0.23/1.06 (! [C,C1] :( part_of(C1,C)<=> (! [P] :( incident_c(P,C1)=> incident_c(P,C) ) )) )),
% 0.23/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/1.06 fof(f2,axiom,(
% 0.23/1.06 (! [C,C1,C2] :( C = sum(C1,C2)<=> (! [Q] :( incident_c(Q,C)<=> ( incident_c(Q,C1)| incident_c(Q,C2) ) ) )) )),
% 0.23/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/1.06 fof(f6,axiom,(
% 0.23/1.06 (! [C] :( closed(C)<=> ~ (? [P] : end_point(P,C) )) )),
% 0.23/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/1.06 fof(f7,axiom,(
% 0.23/1.06 (! [C] :( open(C)<=> (? [P] : end_point(P,C) )) )),
% 0.23/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/1.06 fof(f8,axiom,(
% 0.23/1.06 (! [C,C1] :( ( part_of(C1,C)& C1 != C )=> open(C1) ) )),
% 0.23/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/1.06 fof(f17,conjecture,(
% 0.23/1.06 (! [C,C1,C2,P] :( ( open(C)& part_of(C1,C)& part_of(C2,C)& meet(P,C1,C2) )=> open(sum(C1,C2)) ) )),
% 0.23/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/1.06 fof(f18,negated_conjecture,(
% 0.23/1.06 ~((! [C,C1,C2,P] :( ( open(C)& part_of(C1,C)& part_of(C2,C)& meet(P,C1,C2) )=> open(sum(C1,C2)) ) ))),
% 0.23/1.06 inference(negated_conjecture,[status(cth)],[f17])).
% 0.23/1.06 fof(f19,plain,(
% 0.23/1.06 ![C,C1]: (part_of(C1,C)<=>(![P]: (~incident_c(P,C1)|incident_c(P,C))))),
% 0.23/1.06 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.23/1.06 fof(f20,plain,(
% 0.23/1.06 ![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)))))),
% 0.23/1.06 inference(NNF_transformation,[status(thm)],[f19])).
% 0.23/1.06 fof(f21,plain,(
% 0.23/1.06 (![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)))))),
% 0.23/1.06 inference(miniscoping,[status(thm)],[f20])).
% 0.23/1.06 fof(f22,plain,(
% 0.23/1.06 (![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))))),
% 0.23/1.06 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(P,sK0_skl(C1,C))],[f21])).
% 0.23/1.06 fof(f23,plain,(
% 0.23/1.06 ![X0,X1,X2]: (~part_of(X0,X1)|~incident_c(X2,X0)|incident_c(X2,X1))),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f22])).
% 0.23/1.06 fof(f24,plain,(
% 0.23/1.06 ![X0,X1]: (part_of(X0,X1)|incident_c(sK0_skl(X0,X1),X0))),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f22])).
% 0.23/1.06 fof(f25,plain,(
% 0.23/1.06 ![X0,X1]: (part_of(X0,X1)|~incident_c(sK0_skl(X0,X1),X1))),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f22])).
% 0.23/1.06 fof(f26,plain,(
% 0.23/1.06 ![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)))))))),
% 0.23/1.06 inference(NNF_transformation,[status(thm)],[f2])).
% 0.23/1.06 fof(f27,plain,(
% 0.23/1.06 (![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)))))))),
% 0.23/1.06 inference(miniscoping,[status(thm)],[f26])).
% 0.23/1.06 fof(f28,plain,(
% 0.23/1.06 (![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(sK1_skl(C2,C1,C),C)|(~incident_c(sK1_skl(C2,C1,C),C1)&~incident_c(sK1_skl(C2,C1,C),C2)))&(incident_c(sK1_skl(C2,C1,C),C)|(incident_c(sK1_skl(C2,C1,C),C1)|incident_c(sK1_skl(C2,C1,C),C2))))))),
% 0.23/1.06 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Q,sK1_skl(C2,C1,C))],[f27])).
% 0.23/1.06 fof(f29,plain,(
% 0.23/1.06 ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|~incident_c(X3,X0)|incident_c(X3,X1)|incident_c(X3,X2))),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f28])).
% 0.23/1.06 fof(f30,plain,(
% 0.23/1.06 ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|incident_c(X3,X0)|~incident_c(X3,X1))),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f28])).
% 0.23/1.06 fof(f31,plain,(
% 0.23/1.06 ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|incident_c(X3,X0)|~incident_c(X3,X2))),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f28])).
% 0.23/1.06 fof(f33,plain,(
% 0.23/1.06 ![X0,X1,X2]: (X0=sum(X1,X2)|~incident_c(sK1_skl(X2,X1,X0),X0)|~incident_c(sK1_skl(X2,X1,X0),X2))),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f28])).
% 0.23/1.06 fof(f34,plain,(
% 0.23/1.06 ![X0,X1,X2]: (X0=sum(X1,X2)|incident_c(sK1_skl(X2,X1,X0),X0)|incident_c(sK1_skl(X2,X1,X0),X1)|incident_c(sK1_skl(X2,X1,X0),X2))),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f28])).
% 0.23/1.06 fof(f63,plain,(
% 0.23/1.06 ![C]: (closed(C)<=>(![P]: ~end_point(P,C)))),
% 0.23/1.06 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.23/1.06 fof(f64,plain,(
% 0.23/1.06 ![C]: ((~closed(C)|(![P]: ~end_point(P,C)))&(closed(C)|(?[P]: end_point(P,C))))),
% 0.23/1.06 inference(NNF_transformation,[status(thm)],[f63])).
% 0.23/1.06 fof(f65,plain,(
% 0.23/1.06 (![C]: (~closed(C)|(![P]: ~end_point(P,C))))&(![C]: (closed(C)|(?[P]: end_point(P,C))))),
% 0.23/1.06 inference(miniscoping,[status(thm)],[f64])).
% 0.23/1.06 fof(f66,plain,(
% 0.23/1.06 (![C]: (~closed(C)|(![P]: ~end_point(P,C))))&(![C]: (closed(C)|end_point(sK5_skl(C),C)))),
% 0.23/1.06 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(P,sK5_skl(C))],[f65])).
% 0.23/1.06 fof(f67,plain,(
% 0.23/1.06 ![X0,X1]: (~closed(X0)|~end_point(X1,X0))),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f66])).
% 0.23/1.06 fof(f68,plain,(
% 0.23/1.06 ![X0]: (closed(X0)|end_point(sK5_skl(X0),X0))),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f66])).
% 0.23/1.06 fof(f69,plain,(
% 0.23/1.06 ![C]: ((~open(C)|(?[P]: end_point(P,C)))&(open(C)|(![P]: ~end_point(P,C))))),
% 0.23/1.06 inference(NNF_transformation,[status(thm)],[f7])).
% 0.23/1.06 fof(f70,plain,(
% 0.23/1.06 (![C]: (~open(C)|(?[P]: end_point(P,C))))&(![C]: (open(C)|(![P]: ~end_point(P,C))))),
% 0.23/1.06 inference(miniscoping,[status(thm)],[f69])).
% 0.23/1.06 fof(f71,plain,(
% 0.23/1.06 (![C]: (~open(C)|end_point(sK6_skl(C),C)))&(![C]: (open(C)|(![P]: ~end_point(P,C))))),
% 0.23/1.06 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl(C))],[f70])).
% 0.23/1.06 fof(f72,plain,(
% 0.23/1.06 ![X0]: (~open(X0)|end_point(sK6_skl(X0),X0))),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f71])).
% 0.23/1.06 fof(f73,plain,(
% 0.23/1.06 ![X0,X1]: (open(X0)|~end_point(X1,X0))),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f71])).
% 0.23/1.06 fof(f74,plain,(
% 0.23/1.06 ![C,C1]: ((~part_of(C1,C)|C1=C)|open(C1))),
% 0.23/1.06 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.23/1.06 fof(f75,plain,(
% 0.23/1.06 ![C1]: ((![C]: (~part_of(C1,C)|C1=C))|open(C1))),
% 0.23/1.06 inference(miniscoping,[status(thm)],[f74])).
% 0.23/1.06 fof(f76,plain,(
% 0.23/1.06 ![X0,X1]: (~part_of(X0,X1)|X0=X1|open(X0))),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f75])).
% 0.23/1.06 fof(f104,plain,(
% 0.23/1.06 (?[C,C1,C2,P]: ((((open(C)&part_of(C1,C))&part_of(C2,C))&meet(P,C1,C2))&~open(sum(C1,C2))))),
% 0.23/1.06 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.23/1.06 fof(f105,plain,(
% 0.23/1.06 ?[C1,C2]: (((?[C]: ((open(C)&part_of(C1,C))&part_of(C2,C)))&(?[P]: meet(P,C1,C2)))&~open(sum(C1,C2)))),
% 0.23/1.06 inference(miniscoping,[status(thm)],[f104])).
% 0.23/1.06 fof(f106,plain,(
% 0.23/1.06 ((((open(sK15_skl)&part_of(sK13_skl,sK15_skl))&part_of(sK14_skl,sK15_skl))&meet(sK16_skl,sK13_skl,sK14_skl))&~open(sum(sK13_skl,sK14_skl)))),
% 0.23/1.06 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl,sK15_skl,sK16_skl]),skolemize(C1,sK13_skl),skolemize(C2,sK14_skl),skolemize(C,sK15_skl),skolemize(P,sK16_skl)],[f105])).
% 0.23/1.06 fof(f107,plain,(
% 0.23/1.06 open(sK15_skl)),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f106])).
% 0.23/1.06 fof(f108,plain,(
% 0.23/1.06 part_of(sK13_skl,sK15_skl)),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f106])).
% 0.23/1.06 fof(f109,plain,(
% 0.23/1.06 part_of(sK14_skl,sK15_skl)),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f106])).
% 0.23/1.06 fof(f111,plain,(
% 0.23/1.06 ~open(sum(sK13_skl,sK14_skl))),
% 0.23/1.06 inference(cnf_transformation,[status(thm)],[f106])).
% 0.23/1.06 fof(f112,plain,(
% 0.23/1.06 ![X0,X1,X2]: (~incident_c(X0,sum(X1,X2))|incident_c(X0,X1)|incident_c(X0,X2))),
% 0.23/1.06 inference(destructive_equality_resolution,[status(thm)],[f29])).
% 0.23/1.06 fof(f113,plain,(
% 0.23/1.06 ![X0,X1,X2]: (incident_c(X0,sum(X1,X2))|~incident_c(X0,X1))),
% 0.23/1.06 inference(destructive_equality_resolution,[status(thm)],[f30])).
% 0.23/1.06 fof(f114,plain,(
% 0.23/1.06 ![X0,X1,X2]: (incident_c(X0,sum(X1,X2))|~incident_c(X0,X2))),
% 0.23/1.06 inference(destructive_equality_resolution,[status(thm)],[f31])).
% 0.23/1.06 fof(f120,plain,(
% 0.23/1.06 ![X0,X1,X2,X3]: (incident_c(X0,X1)|incident_c(X0,X2)|~part_of(X3,sum(X1,X2))|~incident_c(X0,X3))),
% 0.23/1.06 inference(resolution,[status(thm)],[f112,f23])).
% 0.23/1.06 fof(f141,plain,(
% 0.23/1.06 end_point(sK6_skl(sK15_skl),sK15_skl)),
% 0.23/1.06 inference(resolution,[status(thm)],[f72,f107])).
% 0.23/1.06 fof(f145,plain,(
% 0.23/1.06 ![X0,X1,X2]: (part_of(sum(X0,X1),X2)|incident_c(sK0_skl(sum(X0,X1),X2),X0)|incident_c(sK0_skl(sum(X0,X1),X2),X1))),
% 0.23/1.06 inference(resolution,[status(thm)],[f24,f112])).
% 0.23/1.06 fof(f147,plain,(
% 0.23/1.06 ![X0,X1,X2]: (part_of(X0,sum(X1,X2))|~incident_c(sK0_skl(X0,sum(X1,X2)),X2))),
% 0.23/1.06 inference(resolution,[status(thm)],[f25,f114])).
% 0.23/1.06 fof(f148,plain,(
% 0.23/1.06 ![X0,X1,X2]: (part_of(X0,sum(X1,X2))|~incident_c(sK0_skl(X0,sum(X1,X2)),X1))),
% 0.23/1.06 inference(resolution,[status(thm)],[f25,f113])).
% 0.23/1.06 fof(f149,plain,(
% 0.23/1.06 ![X0,X1,X2]: (part_of(X0,X1)|~part_of(X2,X1)|~incident_c(sK0_skl(X0,X1),X2))),
% 0.23/1.06 inference(resolution,[status(thm)],[f25,f23])).
% 0.23/1.06 fof(f165,plain,(
% 0.23/1.06 ![X0]: (X0=sum(X0,X0)|X0=sum(X0,X0)|~incident_c(sK1_skl(X0,X0,X0),X0))),
% 0.23/1.06 inference(resolution,[status(thm)],[f34,f33])).
% 0.23/1.06 fof(f180,plain,(
% 0.23/1.06 ![X0]: (X0=sum(X0,X0)|incident_c(sK1_skl(X0,X0,X0),X0))),
% 0.23/1.06 inference(factoring,[status(thm)],[f34])).
% 0.23/1.06 fof(f181,plain,(
% 0.23/1.06 ![X0]: (X0=sum(X0,X0)|~incident_c(sK1_skl(X0,X0,X0),X0))),
% 0.23/1.06 inference(duplicate_literals_removal,[status(thm)],[f165])).
% 0.23/1.06 fof(f186,plain,(
% 0.23/1.06 ![X0]: (X0=sum(X0,X0))),
% 0.23/1.06 inference(forward_subsumption_resolution,[status(thm)],[f180,f181])).
% 0.23/1.06 fof(f211,plain,(
% 0.23/1.06 ![X0]: (part_of(X0,sK15_skl)|~incident_c(sK0_skl(X0,sK15_skl),sK14_skl))),
% 0.23/1.06 inference(resolution,[status(thm)],[f149,f109])).
% 0.23/1.06 fof(f212,plain,(
% 0.23/1.06 ![X0]: (part_of(X0,sK15_skl)|~incident_c(sK0_skl(X0,sK15_skl),sK13_skl))),
% 0.23/1.06 inference(resolution,[status(thm)],[f149,f108])).
% 0.23/1.06 fof(f269,plain,(
% 0.23/1.06 ![X0]: (closed(X0)|open(X0))),
% 0.23/1.06 inference(resolution,[status(thm)],[f68,f73])).
% 0.23/1.06 fof(f270,plain,(
% 0.23/1.06 closed(sum(sK13_skl,sK14_skl))),
% 0.23/1.06 inference(resolution,[status(thm)],[f269,f111])).
% 0.23/1.06 fof(f273,plain,(
% 0.23/1.06 ![X0]: (~end_point(X0,sum(sK13_skl,sK14_skl)))),
% 0.23/1.06 inference(resolution,[status(thm)],[f270,f67])).
% 0.23/1.06 fof(f387,plain,(
% 0.23/1.06 ![X0,X1]: (part_of(X0,sum(X1,X0))|part_of(X0,sum(X1,X0)))),
% 0.23/1.06 inference(resolution,[status(thm)],[f147,f24])).
% 0.23/1.06 fof(f392,plain,(
% 0.23/1.06 ![X0,X1]: (part_of(X0,sum(X1,X0)))),
% 0.23/1.06 inference(duplicate_literals_removal,[status(thm)],[f387])).
% 0.23/1.06 fof(f400,plain,(
% 0.23/1.06 ![X0,X1]: (X0=sum(X1,X0)|open(X0))),
% 0.23/1.06 inference(resolution,[status(thm)],[f392,f76])).
% 0.23/1.06 fof(f404,plain,(
% 0.23/1.06 ![X0]: (sum(sK13_skl,sK14_skl)=sum(X0,sum(sK13_skl,sK14_skl)))),
% 0.23/1.06 inference(resolution,[status(thm)],[f400,f111])).
% 0.23/1.06 fof(f422,plain,(
% 0.23/1.06 ![X0]: (part_of(sum(X0,sK14_skl),sK15_skl)|incident_c(sK0_skl(sum(X0,sK14_skl),sK15_skl),X0)|part_of(sum(X0,sK14_skl),sK15_skl))),
% 0.23/1.06 inference(resolution,[status(thm)],[f145,f211])).
% 0.23/1.06 fof(f459,plain,(
% 0.23/1.06 ![X0]: (part_of(sum(X0,sK14_skl),sK15_skl)|incident_c(sK0_skl(sum(X0,sK14_skl),sK15_skl),X0))),
% 0.23/1.06 inference(duplicate_literals_removal,[status(thm)],[f422])).
% 0.23/1.06 fof(f471,plain,(
% 0.23/1.06 ![X0,X1]: (part_of(sum(X0,X0),sum(X0,X1))|part_of(sum(X0,X0),sum(X0,X1)))),
% 0.23/1.06 inference(resolution,[status(thm)],[f148,f145])).
% 0.23/1.06 fof(f480,plain,(
% 0.23/1.06 ![X0,X1]: (part_of(X0,sum(X0,X1))|part_of(sum(X0,X0),sum(X0,X1)))),
% 0.23/1.06 inference(forward_demodulation,[status(thm)],[f186,f471])).
% 0.23/1.06 fof(f481,plain,(
% 0.23/1.06 ![X0,X1]: (part_of(X0,sum(X0,X1))|part_of(X0,sum(X0,X1)))),
% 0.23/1.06 inference(forward_demodulation,[status(thm)],[f186,f480])).
% 0.23/1.06 fof(f482,plain,(
% 0.23/1.06 ![X0,X1]: (part_of(X0,sum(X0,X1)))),
% 0.23/1.06 inference(duplicate_literals_removal,[status(thm)],[f481])).
% 0.23/1.06 fof(f598,plain,(
% 0.23/1.06 ![X0]: (part_of(X0,sum(sK13_skl,sK14_skl)))),
% 0.23/1.06 inference(paramodulation,[status(thm)],[f404,f482])).
% 0.23/1.06 fof(f652,plain,(
% 0.23/1.06 ![X0,X1]: (incident_c(X0,sK13_skl)|incident_c(X0,sK14_skl)|~incident_c(X0,X1))),
% 0.23/1.06 inference(resolution,[status(thm)],[f598,f120])).
% 0.23/1.06 fof(f667,plain,(
% 0.23/1.06 ![X0,X1]: (incident_c(sK0_skl(X0,sK15_skl),sK13_skl)|~incident_c(sK0_skl(X0,sK15_skl),X1)|part_of(X0,sK15_skl))),
% 0.23/1.06 inference(resolution,[status(thm)],[f652,f211])).
% 0.23/1.06 fof(f669,plain,(
% 0.23/1.06 ![X0]: (part_of(sum(X0,sK14_skl),sK15_skl))),
% 0.23/1.06 inference(backward_subsumption_resolution,[status(thm)],[f459,f675])).
% 0.23/1.06 fof(f675,plain,(
% 0.23/1.06 ![X0,X1]: (~incident_c(sK0_skl(X0,sK15_skl),X1)|part_of(X0,sK15_skl))),
% 0.23/1.06 inference(forward_subsumption_resolution,[status(thm)],[f667,f212])).
% 0.23/1.08 fof(f683,plain,(
% 0.23/1.08 ![X0]: (sum(X0,sK14_skl)=sK15_skl|open(sum(X0,sK14_skl)))),
% 0.23/1.08 inference(resolution,[status(thm)],[f669,f76])).
% 0.23/1.08 fof(f706,plain,(
% 0.23/1.08 sum(sK13_skl,sK14_skl)=sK15_skl),
% 0.23/1.08 inference(resolution,[status(thm)],[f683,f111])).
% 0.23/1.08 fof(f713,plain,(
% 0.23/1.08 ![X0]: (~end_point(X0,sK15_skl))),
% 0.23/1.08 inference(backward_demodulation,[status(thm)],[f706,f273])).
% 0.23/1.08 fof(f747,plain,(
% 0.23/1.08 $false),
% 0.23/1.08 inference(backward_subsumption_resolution,[status(thm)],[f141,f713])).
% 0.23/1.08 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/1.10 % Elapsed time: 0.422382 seconds
% 0.23/1.10 % CPU time: 3.044161 seconds
% 0.23/1.10 % Total memory used: 99.864 MB
% 0.23/1.10 % Net memory used: 97.444 MB
%------------------------------------------------------------------------------