%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO083+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 : n008.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 12:25:43 PM UTC 2026
% Result : Theorem 118.84s 15.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO083+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n008.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 20 10:14:39 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.48 % Drodi V4.1.1
% 118.84/15.76 % Refutation found
% 118.84/15.76 % SZS status Theorem for theBenchmark: Theorem is valid
% 118.84/15.76 % SZS output start CNFRefutation for theBenchmark
% 118.84/15.76 fof(f1,axiom,(
% 118.84/15.76 (! [C,C1] :( part_of(C1,C)<=> (! [P] :( incident_c(P,C1)=> incident_c(P,C) ) )) )),
% 118.84/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 118.84/15.76 fof(f2,axiom,(
% 118.84/15.76 (! [C,C1,C2] :( C = sum(C1,C2)<=> (! [Q] :( incident_c(Q,C)<=> ( incident_c(Q,C1)| incident_c(Q,C2) ) ) )) )),
% 118.84/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 118.84/15.76 fof(f3,axiom,(
% 118.84/15.76 (! [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) ) ) )) ) )),
% 118.84/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 118.84/15.76 fof(f4,axiom,(
% 118.84/15.76 (! [P,C] :( inner_point(P,C)<=> ( incident_c(P,C)& ~ end_point(P,C) ) ) )),
% 118.84/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 118.84/15.76 fof(f17,conjecture,(
% 118.84/15.76 (! [C1,C2,C3,P] :( ( part_of(C2,C3)& meet(P,C1,C2)& meet(P,C1,C3) )=> part_of(sum(C1,C2),sum(C1,C3)) ) )),
% 118.84/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 118.84/15.77 fof(f18,negated_conjecture,(
% 118.84/15.77 ~((! [C1,C2,C3,P] :( ( part_of(C2,C3)& meet(P,C1,C2)& meet(P,C1,C3) )=> part_of(sum(C1,C2),sum(C1,C3)) ) ))),
% 118.84/15.77 inference(negated_conjecture,[status(cth)],[f17])).
% 118.84/15.77 fof(f19,plain,(
% 118.84/15.77 ![C,C1]: (part_of(C1,C)<=>(![P]: (~incident_c(P,C1)|incident_c(P,C))))),
% 118.84/15.77 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 118.84/15.77 fof(f20,plain,(
% 118.84/15.77 ![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)))))),
% 118.84/15.77 inference(NNF_transformation,[status(thm)],[f19])).
% 118.84/15.77 fof(f21,plain,(
% 118.84/15.77 (![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)))))),
% 118.84/15.77 inference(miniscoping,[status(thm)],[f20])).
% 118.84/15.77 fof(f22,plain,(
% 118.84/15.77 (![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))))),
% 118.84/15.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(P,sK0_skl(C1,C))],[f21])).
% 118.84/15.77 fof(f23,plain,(
% 118.84/15.77 ![X0,X1,X2]: (~part_of(X0,X1)|~incident_c(X2,X0)|incident_c(X2,X1))),
% 118.84/15.77 inference(cnf_transformation,[status(thm)],[f22])).
% 118.84/15.77 fof(f24,plain,(
% 118.84/15.77 ![X0,X1]: (part_of(X0,X1)|incident_c(sK0_skl(X0,X1),X0))),
% 118.84/15.77 inference(cnf_transformation,[status(thm)],[f22])).
% 118.84/15.77 fof(f25,plain,(
% 118.84/15.77 ![X0,X1]: (part_of(X0,X1)|~incident_c(sK0_skl(X0,X1),X1))),
% 118.84/15.77 inference(cnf_transformation,[status(thm)],[f22])).
% 118.84/15.77 fof(f26,plain,(
% 118.84/15.77 ![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)))))))),
% 118.84/15.77 inference(NNF_transformation,[status(thm)],[f2])).
% 118.84/15.77 fof(f27,plain,(
% 118.84/15.77 (![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)))))))),
% 118.84/15.77 inference(miniscoping,[status(thm)],[f26])).
% 118.84/15.77 fof(f28,plain,(
% 118.84/15.77 (![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))))))),
% 118.84/15.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Q,sK1_skl(C2,C1,C))],[f27])).
% 118.84/15.77 fof(f29,plain,(
% 118.84/15.77 ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|~incident_c(X3,X0)|incident_c(X3,X1)|incident_c(X3,X2))),
% 118.84/15.77 inference(cnf_transformation,[status(thm)],[f28])).
% 118.84/15.77 fof(f30,plain,(
% 118.84/15.77 ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|incident_c(X3,X0)|~incident_c(X3,X1))),
% 118.84/15.77 inference(cnf_transformation,[status(thm)],[f28])).
% 118.84/15.77 fof(f31,plain,(
% 118.84/15.77 ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|incident_c(X3,X0)|~incident_c(X3,X2))),
% 118.84/15.77 inference(cnf_transformation,[status(thm)],[f28])).
% 118.84/15.77 fof(f35,plain,(
% 118.84/15.77 ![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))))))),
% 118.84/15.77 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 118.84/15.77 fof(f36,plain,(
% 118.84/15.77 ![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)))))))),
% 118.84/15.77 inference(NNF_transformation,[status(thm)],[f35])).
% 118.84/15.77 fof(f37,plain,(
% 118.84/15.77 (![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)))))))),
% 118.84/15.77 inference(miniscoping,[status(thm)],[f36])).
% 118.84/15.77 fof(f38,plain,(
% 118.84/15.77 (![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)))))))),
% 118.84/15.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(C1,sK2_skl(C,P)),skolemize(C2,sK3_skl(C,P))],[f37])).
% 118.84/15.77 fof(f39,plain,(
% 118.84/15.77 ![X0,X1]: (~end_point(X0,X1)|incident_c(X0,X1))),
% 118.84/15.77 inference(cnf_transformation,[status(thm)],[f38])).
% 118.84/15.77 fof(f47,plain,(
% 118.84/15.77 ![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))))),
% 118.84/15.77 inference(NNF_transformation,[status(thm)],[f4])).
% 118.84/15.77 fof(f48,plain,(
% 118.84/15.77 (![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))))),
% 118.84/15.77 inference(miniscoping,[status(thm)],[f47])).
% 118.84/15.77 fof(f49,plain,(
% 118.84/15.77 ![X0,X1]: (~inner_point(X0,X1)|incident_c(X0,X1))),
% 118.84/15.77 inference(cnf_transformation,[status(thm)],[f48])).
% 118.84/15.77 fof(f51,plain,(
% 118.84/15.77 ![X0,X1]: (inner_point(X0,X1)|~incident_c(X0,X1)|end_point(X0,X1))),
% 118.84/15.77 inference(cnf_transformation,[status(thm)],[f48])).
% 118.84/15.77 fof(f104,plain,(
% 118.84/15.77 (?[C1,C2,C3,P]: (((part_of(C2,C3)&meet(P,C1,C2))&meet(P,C1,C3))&~part_of(sum(C1,C2),sum(C1,C3))))),
% 118.84/15.77 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 118.84/15.77 fof(f105,plain,(
% 118.84/15.77 ?[C1,C2,C3]: ((?[P]: ((part_of(C2,C3)&meet(P,C1,C2))&meet(P,C1,C3)))&~part_of(sum(C1,C2),sum(C1,C3)))),
% 118.84/15.77 inference(miniscoping,[status(thm)],[f104])).
% 118.84/15.77 fof(f106,plain,(
% 118.84/15.77 (((part_of(sK14_skl,sK15_skl)&meet(sK16_skl,sK13_skl,sK14_skl))&meet(sK16_skl,sK13_skl,sK15_skl))&~part_of(sum(sK13_skl,sK14_skl),sum(sK13_skl,sK15_skl)))),
% 118.84/15.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl,sK15_skl,sK16_skl]),skolemize(C1,sK13_skl),skolemize(C2,sK14_skl),skolemize(C3,sK15_skl),skolemize(P,sK16_skl)],[f105])).
% 118.84/15.77 fof(f107,plain,(
% 118.84/15.77 part_of(sK14_skl,sK15_skl)),
% 118.84/15.77 inference(cnf_transformation,[status(thm)],[f106])).
% 118.84/15.77 fof(f110,plain,(
% 118.84/15.77 ~part_of(sum(sK13_skl,sK14_skl),sum(sK13_skl,sK15_skl))),
% 118.84/15.77 inference(cnf_transformation,[status(thm)],[f106])).
% 118.84/15.77 fof(f111,plain,(
% 118.84/15.77 ![X0,X1,X2]: (~incident_c(X0,sum(X1,X2))|incident_c(X0,X1)|incident_c(X0,X2))),
% 118.84/15.77 inference(destructive_equality_resolution,[status(thm)],[f29])).
% 118.84/15.77 fof(f112,plain,(
% 118.84/15.77 ![X0,X1,X2]: (incident_c(X0,sum(X1,X2))|~incident_c(X0,X1))),
% 118.84/15.77 inference(destructive_equality_resolution,[status(thm)],[f30])).
% 118.84/15.77 fof(f113,plain,(
% 118.84/15.77 ![X0,X1,X2]: (incident_c(X0,sum(X1,X2))|~incident_c(X0,X2))),
% 118.84/15.77 inference(destructive_equality_resolution,[status(thm)],[f31])).
% 118.84/15.77 fof(f149,plain,(
% 118.84/15.77 ![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))),
% 118.84/15.77 inference(resolution,[status(thm)],[f24,f111])).
% 118.84/15.77 fof(f150,plain,(
% 118.84/15.77 ![X0]: (part_of(X0,X0)|part_of(X0,X0))),
% 118.84/15.77 inference(resolution,[status(thm)],[f25,f24])).
% 118.84/15.77 fof(f151,plain,(
% 118.84/15.77 ![X0,X1,X2]: (part_of(X0,sum(X1,X2))|~incident_c(sK0_skl(X0,sum(X1,X2)),X2))),
% 118.84/15.77 inference(resolution,[status(thm)],[f25,f113])).
% 118.84/15.77 fof(f152,plain,(
% 118.84/15.77 ![X0,X1,X2]: (part_of(X0,sum(X1,X2))|~incident_c(sK0_skl(X0,sum(X1,X2)),X1))),
% 118.84/15.77 inference(resolution,[status(thm)],[f25,f112])).
% 118.84/15.77 fof(f153,plain,(
% 118.84/15.77 ![X0,X1,X2]: (part_of(X0,X1)|~part_of(X2,X1)|~incident_c(sK0_skl(X0,X1),X2))),
% 118.84/15.77 inference(resolution,[status(thm)],[f25,f23])).
% 118.84/15.77 fof(f154,plain,(
% 118.84/15.77 ![X0]: (part_of(X0,X0))),
% 118.84/15.77 inference(duplicate_literals_removal,[status(thm)],[f150])).
% 118.84/15.77 fof(f183,plain,(
% 118.84/15.77 ![X0,X1,X2]: (inner_point(X0,X1)|end_point(X0,X1)|~part_of(X2,X1)|~incident_c(X0,X2))),
% 118.84/15.77 inference(resolution,[status(thm)],[f51,f23])).
% 118.84/15.77 fof(f310,plain,(
% 118.84/15.77 ![X0,X1,X2,X3]: (part_of(X0,sum(X1,X2))|~part_of(X3,X2)|~incident_c(sK0_skl(X0,sum(X1,X2)),X3))),
% 118.84/15.77 inference(resolution,[status(thm)],[f151,f23])).
% 118.84/15.77 fof(f463,plain,(
% 118.84/15.77 ![X0,X1,X2,X3]: (part_of(X0,sum(X1,X2))|~part_of(X3,X1)|~incident_c(sK0_skl(X0,sum(X1,X2)),X3))),
% 118.84/15.77 inference(resolution,[status(thm)],[f152,f23])).
% 118.84/15.77 fof(f528,plain,(
% 118.84/15.77 ![X0,X1,X2,X3,X4]: (part_of(X0,sum(X1,X2))|~part_of(X3,X2)|~part_of(X4,X3)|~incident_c(sK0_skl(X0,sum(X1,X2)),X4))),
% 118.84/15.77 inference(resolution,[status(thm)],[f310,f23])).
% 118.84/15.77 fof(f540,plain,(
% 118.84/15.77 ![X0,X1,X2]: (part_of(X0,sum(X1,X2))|~part_of(X0,X1)|part_of(X0,sum(X1,X2)))),
% 118.84/15.77 inference(resolution,[status(thm)],[f463,f24])).
% 118.84/15.77 fof(f546,plain,(
% 118.84/15.77 ![X0,X1,X2]: (part_of(X0,sum(X1,X2))|~part_of(X0,X1))),
% 118.84/15.77 inference(duplicate_literals_removal,[status(thm)],[f540])).
% 118.84/15.77 fof(f667,plain,(
% 118.84/15.77 ![X0,X1,X2,X3]: (part_of(X0,sum(X1,X2))|~part_of(X3,X2)|~part_of(X0,X3)|part_of(X0,sum(X1,X2)))),
% 118.84/15.77 inference(resolution,[status(thm)],[f528,f24])).
% 118.84/15.77 fof(f673,plain,(
% 118.84/15.77 ![X0,X1,X2,X3]: (part_of(X0,sum(X1,X2))|~part_of(X3,X2)|~part_of(X0,X3))),
% 118.84/15.77 inference(duplicate_literals_removal,[status(thm)],[f667])).
% 118.84/15.77 fof(f681,plain,(
% 118.84/15.77 ![X0,X1,X2]: (part_of(sum(X0,X1),sum(X0,X2))|incident_c(sK0_skl(sum(X0,X1),sum(X0,X2)),X1)|part_of(sum(X0,X1),sum(X0,X2)))),
% 118.84/15.77 inference(resolution,[status(thm)],[f149,f152])).
% 118.84/15.77 fof(f690,plain,(
% 118.84/15.77 ![X0]: (part_of(sum(X0,X0),X0)|part_of(sum(X0,X0),X0))),
% 118.84/15.77 inference(resolution,[status(thm)],[f149,f25])).
% 118.84/15.77 fof(f730,plain,(
% 118.84/15.77 ![X0,X1,X2]: (part_of(sum(X0,X1),sum(X0,X2))|incident_c(sK0_skl(sum(X0,X1),sum(X0,X2)),X1))),
% 118.84/15.77 inference(duplicate_literals_removal,[status(thm)],[f681])).
% 118.84/15.77 fof(f739,plain,(
% 118.84/15.77 ![X0]: (part_of(sum(X0,X0),X0))),
% 118.84/15.77 inference(duplicate_literals_removal,[status(thm)],[f690])).
% 118.84/15.77 fof(f784,plain,(
% 118.84/15.77 ![X0,X1]: (inner_point(X0,X1)|end_point(X0,X1)|~incident_c(X0,sum(X1,X1)))),
% 118.84/15.77 inference(resolution,[status(thm)],[f739,f183])).
% 118.84/15.77 fof(f785,plain,(
% 118.84/15.77 ![X0,X1]: (part_of(X0,X1)|~incident_c(sK0_skl(X0,X1),sum(X1,X1)))),
% 118.84/15.77 inference(resolution,[status(thm)],[f739,f153])).
% 118.84/15.77 fof(f851,plain,(
% 118.84/15.77 ![X0,X1,X2]: (part_of(X0,X1)|~part_of(X2,sum(X1,X1))|~incident_c(sK0_skl(X0,X1),X2))),
% 118.84/15.77 inference(resolution,[status(thm)],[f785,f23])).
% 118.84/15.77 fof(f895,plain,(
% 118.84/15.77 ![X0,X1,X2]: (inner_point(X0,X1)|end_point(X0,X1)|~part_of(X2,sum(X1,X1))|~incident_c(X0,X2))),
% 118.84/15.77 inference(resolution,[status(thm)],[f784,f23])).
% 118.84/15.77 fof(f1278,plain,(
% 118.84/15.77 ![X0,X1]: (part_of(X0,X1)|~part_of(X0,sum(X1,X1))|part_of(X0,X1))),
% 118.84/15.77 inference(resolution,[status(thm)],[f851,f24])).
% 118.84/15.77 fof(f1292,plain,(
% 118.84/15.77 ![X0,X1]: (part_of(X0,X1)|~part_of(X0,sum(X1,X1)))),
% 118.84/15.77 inference(duplicate_literals_removal,[status(thm)],[f1278])).
% 118.84/15.77 fof(f1309,plain,(
% 118.84/15.77 ![X0,X1,X2]: (part_of(X0,X1)|~part_of(X2,X1)|~part_of(X0,X2))),
% 118.84/15.77 inference(resolution,[status(thm)],[f1292,f673])).
% 118.84/15.77 fof(f1356,plain,(
% 118.84/15.77 ![X0,X1,X2,X3]: (part_of(X0,sum(X1,X2))|~part_of(X0,X3)|~part_of(X3,X1))),
% 118.84/15.77 inference(resolution,[status(thm)],[f1309,f546])).
% 118.84/15.77 fof(f3223,plain,(
% 118.84/15.77 ![X0,X1,X2]: (inner_point(X0,X1)|~part_of(X2,sum(X1,X1))|~incident_c(X0,X2)|incident_c(X0,X1))),
% 118.84/15.77 inference(resolution,[status(thm)],[f895,f39])).
% 118.84/15.77 fof(f3231,plain,(
% 118.84/15.77 ![X0,X1,X2]: (~part_of(X0,sum(X1,X1))|~incident_c(X2,X0)|incident_c(X2,X1))),
% 118.84/15.77 inference(forward_subsumption_resolution,[status(thm)],[f3223,f49])).
% 118.84/15.77 fof(f3262,plain,(
% 118.84/15.77 ![X0,X1,X2,X3]: (~incident_c(X0,X1)|incident_c(X0,X2)|~part_of(X1,X3)|~part_of(X3,X2))),
% 118.84/15.82 inference(resolution,[status(thm)],[f3231,f1356])).
% 118.84/15.82 fof(f3590,plain,(
% 118.84/15.82 ![X0,X1]: (~incident_c(X0,X1)|incident_c(X0,sK15_skl)|~part_of(X1,sK14_skl))),
% 118.84/15.82 inference(resolution,[status(thm)],[f3262,f107])).
% 118.84/15.82 fof(f3603,plain,(
% 118.84/15.82 ![X0]: (~incident_c(X0,sK14_skl)|incident_c(X0,sK15_skl))),
% 118.84/15.82 inference(resolution,[status(thm)],[f3590,f154])).
% 118.84/15.82 fof(f3623,plain,(
% 118.84/15.82 ![X0,X1]: (~incident_c(sK0_skl(X0,sum(X1,sK15_skl)),sK14_skl)|part_of(X0,sum(X1,sK15_skl)))),
% 118.84/15.82 inference(resolution,[status(thm)],[f3603,f151])).
% 118.84/15.82 fof(f18444,plain,(
% 118.84/15.82 ![X0]: (part_of(sum(X0,sK14_skl),sum(X0,sK15_skl))|part_of(sum(X0,sK14_skl),sum(X0,sK15_skl)))),
% 118.84/15.82 inference(resolution,[status(thm)],[f730,f3623])).
% 118.84/15.82 fof(f18495,plain,(
% 118.84/15.82 ![X0]: (part_of(sum(X0,sK14_skl),sum(X0,sK15_skl)))),
% 118.84/15.82 inference(duplicate_literals_removal,[status(thm)],[f18444])).
% 118.84/15.82 fof(f18586,plain,(
% 118.84/15.82 $false),
% 118.84/15.82 inference(backward_subsumption_resolution,[status(thm)],[f110,f18495])).
% 118.84/15.82 % SZS output end CNFRefutation for theBenchmark.p
% 19.16/15.86 % Elapsed time: 15.385025 seconds
% 19.16/15.86 % CPU time: 120.992214 seconds
% 19.16/15.86 % Total memory used: 313.768 MB
% 19.16/15.86 % Net memory used: 280.580 MB
%------------------------------------------------------------------------------