%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO084+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 : n014.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 12:25:44 PM UTC 2026
% Result : Theorem 0.15s 0.77s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO084+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.58 % Computer : n014.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Sun Sep 20 10:15:51 UTC 2026
% 0.10/0.59 % CPUTime :
% 0.10/0.60 % Drodi V4.1.1
% 0.15/0.77 % Refutation found
% 0.15/0.77 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.77 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.77 fof(f1,axiom,(
% 0.15/0.77 (! [C,C1] :( part_of(C1,C)<=> (! [P] :( incident_c(P,C1)=> incident_c(P,C) ) )) )),
% 0.15/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.77 fof(f2,axiom,(
% 0.15/0.77 (! [C,C1,C2] :( C = sum(C1,C2)<=> (! [Q] :( incident_c(Q,C)<=> ( incident_c(Q,C1)| incident_c(Q,C2) ) ) )) )),
% 0.15/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.77 fof(f17,conjecture,(
% 0.15/0.77 (! [C1,C2,C3,P] :( ( part_of(C1,C3)& part_of(C2,C3)& meet(P,C1,C2) )=> part_of(sum(C1,C2),C3) ) )),
% 0.15/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.77 fof(f18,negated_conjecture,(
% 0.15/0.77 ~((! [C1,C2,C3,P] :( ( part_of(C1,C3)& part_of(C2,C3)& meet(P,C1,C2) )=> part_of(sum(C1,C2),C3) ) ))),
% 0.15/0.77 inference(negated_conjecture,[status(cth)],[f17])).
% 0.15/0.77 fof(f19,plain,(
% 0.15/0.77 ![C,C1]: (part_of(C1,C)<=>(![P]: (~incident_c(P,C1)|incident_c(P,C))))),
% 0.15/0.77 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.15/0.77 fof(f20,plain,(
% 0.15/0.77 ![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)))))),
% 0.15/0.77 inference(NNF_transformation,[status(thm)],[f19])).
% 0.15/0.77 fof(f21,plain,(
% 0.15/0.77 (![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)))))),
% 0.15/0.77 inference(miniscoping,[status(thm)],[f20])).
% 0.15/0.77 fof(f22,plain,(
% 0.15/0.77 (![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))))),
% 0.15/0.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(P,sK0_skl(C1,C))],[f21])).
% 0.15/0.77 fof(f23,plain,(
% 0.15/0.77 ![X0,X1,X2]: (~part_of(X0,X1)|~incident_c(X2,X0)|incident_c(X2,X1))),
% 0.15/0.77 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/0.77 fof(f24,plain,(
% 0.15/0.77 ![X0,X1]: (part_of(X0,X1)|incident_c(sK0_skl(X0,X1),X0))),
% 0.15/0.77 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/0.77 fof(f25,plain,(
% 0.15/0.77 ![X0,X1]: (part_of(X0,X1)|~incident_c(sK0_skl(X0,X1),X1))),
% 0.15/0.77 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/0.77 fof(f26,plain,(
% 0.15/0.77 ![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)))))))),
% 0.15/0.77 inference(NNF_transformation,[status(thm)],[f2])).
% 0.15/0.77 fof(f27,plain,(
% 0.15/0.77 (![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)))))))),
% 0.15/0.77 inference(miniscoping,[status(thm)],[f26])).
% 0.15/0.77 fof(f28,plain,(
% 0.15/0.77 (![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))))))),
% 0.15/0.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Q,sK1_skl(C2,C1,C))],[f27])).
% 0.15/0.77 fof(f29,plain,(
% 0.15/0.77 ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|~incident_c(X3,X0)|incident_c(X3,X1)|incident_c(X3,X2))),
% 0.15/0.77 inference(cnf_transformation,[status(thm)],[f28])).
% 0.15/0.77 fof(f104,plain,(
% 0.15/0.77 (?[C1,C2,C3,P]: (((part_of(C1,C3)&part_of(C2,C3))&meet(P,C1,C2))&~part_of(sum(C1,C2),C3)))),
% 0.15/0.77 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.15/0.77 fof(f105,plain,(
% 0.15/0.77 ?[C1,C2,C3]: (((part_of(C1,C3)&part_of(C2,C3))&(?[P]: meet(P,C1,C2)))&~part_of(sum(C1,C2),C3))),
% 0.15/0.77 inference(miniscoping,[status(thm)],[f104])).
% 0.15/0.77 fof(f106,plain,(
% 0.15/0.77 (((part_of(sK13_skl,sK15_skl)&part_of(sK14_skl,sK15_skl))&meet(sK16_skl,sK13_skl,sK14_skl))&~part_of(sum(sK13_skl,sK14_skl),sK15_skl))),
% 0.15/0.77 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])).
% 0.15/0.77 fof(f107,plain,(
% 0.15/0.77 part_of(sK13_skl,sK15_skl)),
% 0.15/0.77 inference(cnf_transformation,[status(thm)],[f106])).
% 0.15/0.77 fof(f108,plain,(
% 0.15/0.77 part_of(sK14_skl,sK15_skl)),
% 0.15/0.77 inference(cnf_transformation,[status(thm)],[f106])).
% 0.15/0.77 fof(f110,plain,(
% 0.15/0.77 ~part_of(sum(sK13_skl,sK14_skl),sK15_skl)),
% 0.15/0.77 inference(cnf_transformation,[status(thm)],[f106])).
% 0.15/0.77 fof(f111,plain,(
% 0.15/0.77 ![X0,X1,X2]: (~incident_c(X0,sum(X1,X2))|incident_c(X0,X1)|incident_c(X0,X2))),
% 0.15/0.77 inference(destructive_equality_resolution,[status(thm)],[f29])).
% 0.15/0.77 fof(f151,plain,(
% 0.15/0.77 ![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))),
% 0.15/0.77 inference(resolution,[status(thm)],[f24,f111])).
% 0.15/0.77 fof(f155,plain,(
% 0.15/0.77 ![X0,X1,X2]: (part_of(X0,X1)|~part_of(X2,X1)|~incident_c(sK0_skl(X0,X1),X2))),
% 0.15/0.77 inference(resolution,[status(thm)],[f25,f23])).
% 0.15/0.77 fof(f255,plain,(
% 0.15/0.77 ![X0]: (part_of(X0,sK15_skl)|~incident_c(sK0_skl(X0,sK15_skl),sK14_skl))),
% 0.15/0.77 inference(resolution,[status(thm)],[f155,f108])).
% 0.15/0.77 fof(f256,plain,(
% 0.15/0.77 ![X0]: (part_of(X0,sK15_skl)|~incident_c(sK0_skl(X0,sK15_skl),sK13_skl))),
% 0.15/0.77 inference(resolution,[status(thm)],[f155,f107])).
% 0.15/0.77 fof(f314,plain,(
% 0.15/0.77 ![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))),
% 0.15/0.77 inference(resolution,[status(thm)],[f151,f255])).
% 0.15/0.77 fof(f337,plain,(
% 0.15/0.77 ![X0]: (part_of(sum(X0,sK14_skl),sK15_skl)|incident_c(sK0_skl(sum(X0,sK14_skl),sK15_skl),X0))),
% 0.15/0.77 inference(duplicate_literals_removal,[status(thm)],[f314])).
% 0.15/0.77 fof(f491,plain,(
% 0.15/0.77 part_of(sum(sK13_skl,sK14_skl),sK15_skl)|part_of(sum(sK13_skl,sK14_skl),sK15_skl)),
% 0.15/0.77 inference(resolution,[status(thm)],[f337,f256])).
% 0.15/0.77 fof(f501,plain,(
% 0.15/0.77 part_of(sum(sK13_skl,sK14_skl),sK15_skl)),
% 0.15/0.77 inference(duplicate_literals_removal,[status(thm)],[f491])).
% 0.15/0.77 fof(f502,plain,(
% 0.15/0.77 $false),
% 0.15/0.77 inference(forward_subsumption_resolution,[status(thm)],[f501,f110])).
% 0.15/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.80 % Elapsed time: 0.192553 seconds
% 0.15/0.80 % CPU time: 1.301608 seconds
% 0.15/0.80 % Total memory used: 94.718 MB
% 0.15/0.80 % Net memory used: 93.106 MB
%------------------------------------------------------------------------------