%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO117+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 : n016.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 12:25:48 PM UTC 2026
% Result : Theorem 0.08s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO117+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 11:37:51 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.48 % Refutation found
% 0.08/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.48 fof(f17,axiom,(
% 0.08/0.48 (! [C,P,Q,R] :( between_c(C,P,Q,R)<=> ( P != R& (? [Cpp] :( part_of(Cpp,C)& end_point(P,Cpp)& end_point(R,Cpp)& inner_point(Q,Cpp) ) )) ) )),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f18,axiom,(
% 0.08/0.48 (! [O,P,Q,R] :( between_o(O,P,Q,R)<=> ( ( ordered_by(O,P,Q)& ordered_by(O,Q,R) )| ( ordered_by(O,R,Q)& ordered_by(O,Q,P) ) ) ) )),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f23,axiom,(
% 0.08/0.48 (! [P,Q,R,O] :( between_o(O,P,Q,R)<=> (? [C] :( (! [P] :( incident_o(P,O)<=> incident_c(P,C) ))& between_c(C,P,Q,R) ) )) )),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f28,conjecture,(
% 0.08/0.48 (! [O,P] : ~ ordered_by(O,P,P) )),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f29,negated_conjecture,(
% 0.08/0.48 ~((! [O,P] : ~ ordered_by(O,P,P) ))),
% 0.08/0.48 inference(negated_conjecture,[status(cth)],[f28])).
% 0.08/0.48 fof(f115,plain,(
% 0.08/0.48 ![C,P,Q,R]: ((~between_c(C,P,Q,R)|(~P=R&(?[Cpp]: (((part_of(Cpp,C)&end_point(P,Cpp))&end_point(R,Cpp))&inner_point(Q,Cpp)))))&(between_c(C,P,Q,R)|(P=R|(![Cpp]: (((~part_of(Cpp,C)|~end_point(P,Cpp))|~end_point(R,Cpp))|~inner_point(Q,Cpp))))))),
% 0.08/0.48 inference(NNF_transformation,[status(thm)],[f17])).
% 0.08/0.48 fof(f116,plain,(
% 0.08/0.48 (![C,P,Q,R]: (~between_c(C,P,Q,R)|(~P=R&(?[Cpp]: (((part_of(Cpp,C)&end_point(P,Cpp))&end_point(R,Cpp))&inner_point(Q,Cpp))))))&(![C,P,Q,R]: (between_c(C,P,Q,R)|(P=R|(![Cpp]: (((~part_of(Cpp,C)|~end_point(P,Cpp))|~end_point(R,Cpp))|~inner_point(Q,Cpp))))))),
% 0.08/0.48 inference(miniscoping,[status(thm)],[f115])).
% 0.08/0.48 fof(f117,plain,(
% 0.08/0.48 (![C,P,Q,R]: (~between_c(C,P,Q,R)|(~P=R&(((part_of(sK13_skl(R,Q,P,C),C)&end_point(P,sK13_skl(R,Q,P,C)))&end_point(R,sK13_skl(R,Q,P,C)))&inner_point(Q,sK13_skl(R,Q,P,C))))))&(![C,P,Q,R]: (between_c(C,P,Q,R)|(P=R|(![Cpp]: (((~part_of(Cpp,C)|~end_point(P,Cpp))|~end_point(R,Cpp))|~inner_point(Q,Cpp))))))),
% 0.08/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(Cpp,sK13_skl(R,Q,P,C))],[f116])).
% 0.08/0.48 fof(f118,plain,(
% 0.08/0.48 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|~X1=X3)),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f117])).
% 0.08/0.48 fof(f124,plain,(
% 0.08/0.48 ![O,P,Q,R]: ((~between_o(O,P,Q,R)|((ordered_by(O,P,Q)&ordered_by(O,Q,R))|(ordered_by(O,R,Q)&ordered_by(O,Q,P))))&(between_o(O,P,Q,R)|((~ordered_by(O,P,Q)|~ordered_by(O,Q,R))&(~ordered_by(O,R,Q)|~ordered_by(O,Q,P)))))),
% 0.08/0.48 inference(NNF_transformation,[status(thm)],[f18])).
% 0.08/0.48 fof(f125,plain,(
% 0.08/0.48 (![O,P,Q,R]: (~between_o(O,P,Q,R)|((ordered_by(O,P,Q)&ordered_by(O,Q,R))|(ordered_by(O,R,Q)&ordered_by(O,Q,P)))))&(![O,P,Q,R]: (between_o(O,P,Q,R)|((~ordered_by(O,P,Q)|~ordered_by(O,Q,R))&(~ordered_by(O,R,Q)|~ordered_by(O,Q,P)))))),
% 0.08/0.48 inference(miniscoping,[status(thm)],[f124])).
% 0.08/0.48 fof(f130,plain,(
% 0.08/0.48 ![X0,X1,X2,X3]: (between_o(X0,X1,X2,X3)|~ordered_by(X0,X1,X2)|~ordered_by(X0,X2,X3))),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f125])).
% 0.08/0.48 fof(f159,plain,(
% 0.08/0.48 ![P,Q,R,O]: ((~between_o(O,P,Q,R)|(?[C]: ((![P]: ((~incident_o(P,O)|incident_c(P,C))&(incident_o(P,O)|~incident_c(P,C))))&between_c(C,P,Q,R))))&(between_o(O,P,Q,R)|(![C]: ((?[P]: ((~incident_o(P,O)|~incident_c(P,C))&(incident_o(P,O)|incident_c(P,C))))|~between_c(C,P,Q,R)))))),
% 0.08/0.48 inference(NNF_transformation,[status(thm)],[f23])).
% 0.08/0.48 fof(f160,plain,(
% 0.08/0.48 (![P,Q,R,O]: (~between_o(O,P,Q,R)|(?[C]: (((![P]: (~incident_o(P,O)|incident_c(P,C)))&(![P]: (incident_o(P,O)|~incident_c(P,C))))&between_c(C,P,Q,R)))))&(![P,Q,R,O]: (between_o(O,P,Q,R)|(![C]: ((?[P]: ((~incident_o(P,O)|~incident_c(P,C))&(incident_o(P,O)|incident_c(P,C))))|~between_c(C,P,Q,R)))))),
% 0.08/0.48 inference(miniscoping,[status(thm)],[f159])).
% 0.08/0.48 fof(f161,plain,(
% 0.08/0.48 (![P,Q,R,O]: (~between_o(O,P,Q,R)|(((![P]: (~incident_o(P,O)|incident_c(P,sK17_skl(O,R,Q,P))))&(![P]: (incident_o(P,O)|~incident_c(P,sK17_skl(O,R,Q,P)))))&between_c(sK17_skl(O,R,Q,P),P,Q,R))))&(![P,Q,R,O]: (between_o(O,P,Q,R)|(![C]: (((~incident_o(sK18_skl(C,O,R,Q,P),O)|~incident_c(sK18_skl(C,O,R,Q,P),C))&(incident_o(sK18_skl(C,O,R,Q,P),O)|incident_c(sK18_skl(C,O,R,Q,P),C)))|~between_c(C,P,Q,R)))))),
% 0.08/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl,sK18_skl]),skolemize(C,sK17_skl(O,R,Q,P)),skolemize(P,sK18_skl(C,O,R,Q,P))],[f160])).
% 0.08/0.48 fof(f164,plain,(
% 0.08/0.48 ![X0,X1,X2,X3]: (~between_o(X0,X1,X2,X3)|between_c(sK17_skl(X0,X3,X2,X1),X1,X2,X3))),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f161])).
% 0.08/0.48 fof(f188,plain,(
% 0.08/0.48 (?[O,P]: ordered_by(O,P,P))),
% 0.08/0.48 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.08/0.48 fof(f189,plain,(
% 0.08/0.48 ordered_by(sK24_skl,sK25_skl,sK25_skl)),
% 0.08/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl,sK25_skl]),skolemize(O,sK24_skl),skolemize(P,sK25_skl)],[f188])).
% 0.08/0.48 fof(f190,plain,(
% 0.08/0.48 ordered_by(sK24_skl,sK25_skl,sK25_skl)),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f189])).
% 0.08/0.48 fof(f195,plain,(
% 0.08/0.48 ![X0,X1,X2]: (~between_c(X0,X1,X2,X1))),
% 0.08/0.48 inference(destructive_equality_resolution,[status(thm)],[f118])).
% 0.08/0.48 fof(f382,plain,(
% 0.08/0.48 ![X0]: (between_o(sK24_skl,X0,sK25_skl,sK25_skl)|~ordered_by(sK24_skl,X0,sK25_skl))),
% 0.08/0.48 inference(resolution,[status(thm)],[f130,f190])).
% 0.08/0.48 fof(f395,plain,(
% 0.08/0.48 between_o(sK24_skl,sK25_skl,sK25_skl,sK25_skl)),
% 0.08/0.48 inference(resolution,[status(thm)],[f382,f190])).
% 0.08/0.48 fof(f440,plain,(
% 0.08/0.48 between_c(sK17_skl(sK24_skl,sK25_skl,sK25_skl,sK25_skl),sK25_skl,sK25_skl,sK25_skl)),
% 0.08/0.48 inference(resolution,[status(thm)],[f164,f395])).
% 0.08/0.48 fof(f441,plain,(
% 0.08/0.48 $false),
% 0.08/0.48 inference(forward_subsumption_resolution,[status(thm)],[f440,f195])).
% 0.08/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.50 % Elapsed time: 0.127652 seconds
% 0.18/0.50 % CPU time: 0.799465 seconds
% 0.18/0.50 % Total memory used: 92.724 MB
% 0.18/0.50 % Net memory used: 91.695 MB
%------------------------------------------------------------------------------