%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO081+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 : n018.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 0.16s 5.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO081+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.39 % Computer : n018.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Sun Sep 20 10:10:33 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.16/5.40 % Drodi V4.1.1
% 0.16/5.43 % Refutation found
% 0.16/5.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/5.43 % SZS output start CNFRefutation for theBenchmark
% 0.16/5.43 fof(f1,axiom,(
% 0.16/5.43 (! [C,C1] :( part_of(C1,C)<=> (! [P] :( incident_c(P,C1)=> incident_c(P,C) ) )) )),
% 0.16/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.43 fof(f17,conjecture,(
% 0.16/5.43 (! [C1,C2,C3] :( ( part_of(C1,C2)& part_of(C2,C3) )=> part_of(C1,C3) ) )),
% 0.16/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.43 fof(f18,negated_conjecture,(
% 0.16/5.43 ~((! [C1,C2,C3] :( ( part_of(C1,C2)& part_of(C2,C3) )=> part_of(C1,C3) ) ))),
% 0.16/5.43 inference(negated_conjecture,[status(cth)],[f17])).
% 0.16/5.43 fof(f19,plain,(
% 0.16/5.43 ![C,C1]: (part_of(C1,C)<=>(![P]: (~incident_c(P,C1)|incident_c(P,C))))),
% 0.16/5.43 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.16/5.43 fof(f20,plain,(
% 0.16/5.43 ![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)))))),
% 0.16/5.43 inference(NNF_transformation,[status(thm)],[f19])).
% 0.16/5.43 fof(f21,plain,(
% 0.16/5.43 (![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)))))),
% 0.16/5.43 inference(miniscoping,[status(thm)],[f20])).
% 0.16/5.43 fof(f22,plain,(
% 0.16/5.43 (![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))))),
% 0.16/5.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(P,sK0_skl(C1,C))],[f21])).
% 0.16/5.43 fof(f23,plain,(
% 0.16/5.43 ![X0,X1,X2]: (~part_of(X0,X1)|~incident_c(X2,X0)|incident_c(X2,X1))),
% 0.16/5.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.16/5.43 fof(f24,plain,(
% 0.16/5.43 ![X0,X1]: (part_of(X0,X1)|incident_c(sK0_skl(X0,X1),X0))),
% 0.16/5.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.16/5.43 fof(f25,plain,(
% 0.16/5.43 ![X0,X1]: (part_of(X0,X1)|~incident_c(sK0_skl(X0,X1),X1))),
% 0.16/5.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.16/5.43 fof(f104,plain,(
% 0.16/5.43 (?[C1,C2,C3]: ((part_of(C1,C2)&part_of(C2,C3))&~part_of(C1,C3)))),
% 0.16/5.43 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.16/5.43 fof(f105,plain,(
% 0.16/5.43 ?[C1,C3]: ((?[C2]: (part_of(C1,C2)&part_of(C2,C3)))&~part_of(C1,C3))),
% 0.16/5.43 inference(miniscoping,[status(thm)],[f104])).
% 0.16/5.43 fof(f106,plain,(
% 0.16/5.43 ((part_of(sK13_skl,sK15_skl)&part_of(sK15_skl,sK14_skl))&~part_of(sK13_skl,sK14_skl))),
% 0.16/5.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl,sK15_skl]),skolemize(C1,sK13_skl),skolemize(C3,sK14_skl),skolemize(C2,sK15_skl)],[f105])).
% 0.16/5.43 fof(f107,plain,(
% 0.16/5.43 part_of(sK13_skl,sK15_skl)),
% 0.16/5.43 inference(cnf_transformation,[status(thm)],[f106])).
% 0.16/5.43 fof(f108,plain,(
% 0.16/5.43 part_of(sK15_skl,sK14_skl)),
% 0.16/5.43 inference(cnf_transformation,[status(thm)],[f106])).
% 0.16/5.43 fof(f109,plain,(
% 0.16/5.43 ~part_of(sK13_skl,sK14_skl)),
% 0.16/5.43 inference(cnf_transformation,[status(thm)],[f106])).
% 0.16/5.43 fof(f114,plain,(
% 0.16/5.43 ![X0]: (~incident_c(X0,sK15_skl)|incident_c(X0,sK14_skl))),
% 0.16/5.43 inference(resolution,[status(thm)],[f23,f108])).
% 0.16/5.43 fof(f115,plain,(
% 0.16/5.43 ![X0]: (~incident_c(X0,sK13_skl)|incident_c(X0,sK15_skl))),
% 0.16/5.43 inference(resolution,[status(thm)],[f23,f107])).
% 0.16/5.43 fof(f120,plain,(
% 0.16/5.43 ![X0]: (part_of(sK13_skl,X0)|incident_c(sK0_skl(sK13_skl,X0),sK15_skl))),
% 0.16/5.43 inference(resolution,[status(thm)],[f24,f115])).
% 0.16/5.43 fof(f126,plain,(
% 0.16/5.43 ![X0]: (part_of(sK13_skl,X0)|incident_c(sK0_skl(sK13_skl,X0),sK14_skl))),
% 0.16/5.43 inference(resolution,[status(thm)],[f120,f114])).
% 0.16/5.43 fof(f140,plain,(
% 0.16/5.43 part_of(sK13_skl,sK14_skl)|part_of(sK13_skl,sK14_skl)),
% 0.16/5.43 inference(resolution,[status(thm)],[f126,f25])).
% 0.16/5.43 fof(f143,definition,(
% 0.16/5.43 sQ2_spl <=> (part_of(sK13_skl,sK14_skl))),
% 0.16/5.43 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.16/5.43 fof(f144,plain,(
% 0.16/5.43 part_of(sK13_skl,sK14_skl)|~sQ2_spl),
% 0.16/5.43 inference(component_clause,[status(thm)],[f143])).
% 0.16/5.43 fof(f146,plain,(
% 0.16/5.43 sQ2_spl),
% 0.16/5.43 inference(split_clause,[status(thm)],[f140,f143])).
% 0.16/5.43 fof(f147,plain,(
% 0.16/5.43 $false|~sQ2_spl),
% 0.16/5.43 inference(forward_subsumption_resolution,[status(thm)],[f144,f109])).
% 0.16/5.43 fof(f148,plain,(
% 0.16/5.43 ~sQ2_spl),
% 0.16/5.43 inference(contradiction_clause,[status(thm)],[f147])).
% 0.16/5.43 fof(f149,plain,(
% 0.16/5.43 $false),
% 0.16/5.43 inference(sat_refutation,[status(thm)],[f146,f148])).
% 0.16/5.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/5.46 % Elapsed time: 0.057469 seconds
% 0.16/5.46 % CPU time: 0.161127 seconds
% 0.16/5.46 % Total memory used: 81.937 MB
% 0.16/5.46 % Net memory used: 81.808 MB
%------------------------------------------------------------------------------