%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO080+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 : n012.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 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO080+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
% 0.09/0.38 % Computer : n012.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 20 10:04:07 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.40 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f1,axiom,(
% 0.09/0.41 (! [C,C1] :( part_of(C1,C)<=> (! [P] :( incident_c(P,C1)=> incident_c(P,C) ) )) )),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f17,conjecture,(
% 0.09/0.41 (! [C] : part_of(C,C) )),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f18,negated_conjecture,(
% 0.09/0.41 ~((! [C] : part_of(C,C) ))),
% 0.09/0.41 inference(negated_conjecture,[status(cth)],[f17])).
% 0.09/0.41 fof(f19,plain,(
% 0.09/0.41 ![C,C1]: (part_of(C1,C)<=>(![P]: (~incident_c(P,C1)|incident_c(P,C))))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.09/0.41 fof(f20,plain,(
% 0.09/0.41 ![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)))))),
% 0.09/0.41 inference(NNF_transformation,[status(thm)],[f19])).
% 0.09/0.41 fof(f21,plain,(
% 0.09/0.41 (![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)))))),
% 0.09/0.41 inference(miniscoping,[status(thm)],[f20])).
% 0.09/0.41 fof(f22,plain,(
% 0.09/0.41 (![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))))),
% 0.09/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(P,sK0_skl(C1,C))],[f21])).
% 0.09/0.41 fof(f24,plain,(
% 0.09/0.41 ![X0,X1]: (part_of(X0,X1)|incident_c(sK0_skl(X0,X1),X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.41 fof(f25,plain,(
% 0.09/0.41 ![X0,X1]: (part_of(X0,X1)|~incident_c(sK0_skl(X0,X1),X1))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.41 fof(f104,plain,(
% 0.09/0.41 (?[C]: ~part_of(C,C))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.09/0.41 fof(f105,plain,(
% 0.09/0.41 ~part_of(sK13_skl,sK13_skl)),
% 0.09/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(C,sK13_skl)],[f104])).
% 0.09/0.41 fof(f106,plain,(
% 0.09/0.41 ~part_of(sK13_skl,sK13_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f105])).
% 0.09/0.41 fof(f135,plain,(
% 0.09/0.41 ![X0]: (part_of(X0,X0)|part_of(X0,X0))),
% 0.09/0.41 inference(resolution,[status(thm)],[f25,f24])).
% 0.09/0.41 fof(f137,plain,(
% 0.09/0.41 ![X0]: (part_of(X0,X0))),
% 0.09/0.41 inference(duplicate_literals_removal,[status(thm)],[f135])).
% 0.09/0.41 fof(f138,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(backward_subsumption_resolution,[status(thm)],[f106,f137])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.038725 seconds
% 0.09/0.43 % CPU time: 0.102624 seconds
% 0.09/0.43 % Total memory used: 41.167 MB
% 0.09/0.43 % Net memory used: 41.076 MB
%------------------------------------------------------------------------------