%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO125+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 : n002.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 12:25:49 PM UTC 2026
% Result : Theorem 0.12s 10.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO125+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
% 0.08/10.38 % Computer : n002.cluster.edu
% 0.08/10.38 % Model : x86_64 x86_64
% 0.08/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.38 % Memory : 8046.5625MB
% 0.08/10.38 % OS : Linux 6.8.0-71-generic
% 0.08/10.38 % CPULimit : 300
% 0.08/10.38 % WCLimit : 300
% 0.08/10.38 % DateTime : Sun Sep 20 11:57:31 UTC 2026
% 0.08/10.38 % CPUTime :
% 0.08/10.39 % Drodi V4.1.1
% 0.12/10.50 % Refutation found
% 0.12/10.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/10.50 % SZS output start CNFRefutation for theBenchmark
% 0.12/10.50 fof(f17,axiom,(
% 0.12/10.50 (! [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) ) )) ) )),
% 0.12/10.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.50 fof(f18,axiom,(
% 0.12/10.50 (! [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) ) ) ) )),
% 0.12/10.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.50 fof(f20,axiom,(
% 0.12/10.50 (! [P,O] :( finish_point(P,O)<=> ( incident_o(P,O)& (! [Q] :( ( P != Q& incident_o(Q,O) )=> ordered_by(O,Q,P) ) )) ) )),
% 0.12/10.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.50 fof(f21,axiom,(
% 0.12/10.50 (! [O,P,Q] :( ordered_by(O,P,Q)=> ( incident_o(P,O)& incident_o(Q,O) ) ) )),
% 0.12/10.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.50 fof(f23,axiom,(
% 0.12/10.50 (! [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) ) )) )),
% 0.12/10.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.50 fof(f28,conjecture,(
% 0.12/10.50 (! [O,P,Q] :( ( finish_point(P,O)& finish_point(Q,O) )=> P = Q ) )),
% 0.12/10.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.50 fof(f29,negated_conjecture,(
% 0.12/10.50 ~((! [O,P,Q] :( ( finish_point(P,O)& finish_point(Q,O) )=> P = Q ) ))),
% 0.12/10.50 inference(negated_conjecture,[status(cth)],[f28])).
% 0.12/10.50 fof(f115,plain,(
% 0.12/10.50 ![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))))))),
% 0.12/10.50 inference(NNF_transformation,[status(thm)],[f17])).
% 0.12/10.50 fof(f116,plain,(
% 0.12/10.50 (![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))))))),
% 0.12/10.50 inference(miniscoping,[status(thm)],[f115])).
% 0.12/10.50 fof(f117,plain,(
% 0.12/10.50 (![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))))))),
% 0.12/10.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(Cpp,sK13_skl(R,Q,P,C))],[f116])).
% 0.12/10.50 fof(f118,plain,(
% 0.12/10.50 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|~X1=X3)),
% 0.12/10.50 inference(cnf_transformation,[status(thm)],[f117])).
% 0.12/10.50 fof(f124,plain,(
% 0.12/10.50 ![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)))))),
% 0.12/10.50 inference(NNF_transformation,[status(thm)],[f18])).
% 0.12/10.50 fof(f125,plain,(
% 0.12/10.50 (![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)))))),
% 0.12/10.50 inference(miniscoping,[status(thm)],[f124])).
% 0.12/10.50 fof(f127,plain,(
% 0.12/10.50 ![X0,X1,X2,X3]: (~between_o(X0,X1,X2,X3)|ordered_by(X0,X1,X2)|ordered_by(X0,X2,X1))),
% 0.12/10.50 inference(cnf_transformation,[status(thm)],[f125])).
% 0.12/10.50 fof(f130,plain,(
% 0.12/10.50 ![X0,X1,X2,X3]: (between_o(X0,X1,X2,X3)|~ordered_by(X0,X1,X2)|~ordered_by(X0,X2,X3))),
% 0.12/10.50 inference(cnf_transformation,[status(thm)],[f125])).
% 0.12/10.50 fof(f141,plain,(
% 0.12/10.50 ![P,O]: (finish_point(P,O)<=>(incident_o(P,O)&(![Q]: ((P=Q|~incident_o(Q,O))|ordered_by(O,Q,P)))))),
% 0.12/10.50 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.12/10.50 fof(f142,plain,(
% 0.12/10.50 ![P,O]: ((~finish_point(P,O)|(incident_o(P,O)&(![Q]: ((P=Q|~incident_o(Q,O))|ordered_by(O,Q,P)))))&(finish_point(P,O)|(~incident_o(P,O)|(?[Q]: ((~P=Q&incident_o(Q,O))&~ordered_by(O,Q,P))))))),
% 0.12/10.50 inference(NNF_transformation,[status(thm)],[f141])).
% 0.12/10.50 fof(f143,plain,(
% 0.12/10.50 (![P,O]: (~finish_point(P,O)|(incident_o(P,O)&(![Q]: ((P=Q|~incident_o(Q,O))|ordered_by(O,Q,P))))))&(![P,O]: (finish_point(P,O)|(~incident_o(P,O)|(?[Q]: ((~P=Q&incident_o(Q,O))&~ordered_by(O,Q,P))))))),
% 0.12/10.50 inference(miniscoping,[status(thm)],[f142])).
% 0.12/10.50 fof(f144,plain,(
% 0.12/10.50 (![P,O]: (~finish_point(P,O)|(incident_o(P,O)&(![Q]: ((P=Q|~incident_o(Q,O))|ordered_by(O,Q,P))))))&(![P,O]: (finish_point(P,O)|(~incident_o(P,O)|((~P=sK15_skl(O,P)&incident_o(sK15_skl(O,P),O))&~ordered_by(O,sK15_skl(O,P),P)))))),
% 0.12/10.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(Q,sK15_skl(O,P))],[f143])).
% 0.12/10.50 fof(f145,plain,(
% 0.12/10.50 ![X0,X1]: (~finish_point(X0,X1)|incident_o(X0,X1))),
% 0.12/10.50 inference(cnf_transformation,[status(thm)],[f144])).
% 0.12/10.50 fof(f146,plain,(
% 0.12/10.50 ![X0,X1,X2]: (~finish_point(X0,X1)|X0=X2|~incident_o(X2,X1)|ordered_by(X1,X2,X0))),
% 0.12/10.50 inference(cnf_transformation,[status(thm)],[f144])).
% 0.12/10.50 fof(f150,plain,(
% 0.12/10.50 ![O,P,Q]: (~ordered_by(O,P,Q)|(incident_o(P,O)&incident_o(Q,O)))),
% 0.12/10.50 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.12/10.50 fof(f152,plain,(
% 0.12/10.50 ![X0,X1,X2]: (~ordered_by(X0,X1,X2)|incident_o(X2,X0))),
% 0.12/10.51 inference(cnf_transformation,[status(thm)],[f150])).
% 0.12/10.51 fof(f159,plain,(
% 0.12/10.51 ![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)))))),
% 0.12/10.51 inference(NNF_transformation,[status(thm)],[f23])).
% 0.12/10.51 fof(f160,plain,(
% 0.12/10.51 (![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)))))),
% 0.12/10.51 inference(miniscoping,[status(thm)],[f159])).
% 0.12/10.51 fof(f161,plain,(
% 0.12/10.51 (![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)))))),
% 0.12/10.51 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])).
% 0.12/10.51 fof(f164,plain,(
% 0.12/10.51 ![X0,X1,X2,X3]: (~between_o(X0,X1,X2,X3)|between_c(sK17_skl(X0,X3,X2,X1),X1,X2,X3))),
% 0.12/10.51 inference(cnf_transformation,[status(thm)],[f161])).
% 0.12/10.51 fof(f188,plain,(
% 0.12/10.51 (?[O,P,Q]: ((finish_point(P,O)&finish_point(Q,O))&~P=Q))),
% 0.12/10.51 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.12/10.51 fof(f189,plain,(
% 0.12/10.51 ?[P,Q]: ((?[O]: (finish_point(P,O)&finish_point(Q,O)))&~P=Q)),
% 0.12/10.51 inference(miniscoping,[status(thm)],[f188])).
% 0.12/10.51 fof(f190,plain,(
% 0.12/10.51 ((finish_point(sK24_skl,sK26_skl)&finish_point(sK25_skl,sK26_skl))&~sK24_skl=sK25_skl)),
% 0.12/10.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl,sK25_skl,sK26_skl]),skolemize(P,sK24_skl),skolemize(Q,sK25_skl),skolemize(O,sK26_skl)],[f189])).
% 0.12/10.51 fof(f191,plain,(
% 0.12/10.51 finish_point(sK24_skl,sK26_skl)),
% 0.12/10.51 inference(cnf_transformation,[status(thm)],[f190])).
% 0.12/10.51 fof(f192,plain,(
% 0.12/10.51 finish_point(sK25_skl,sK26_skl)),
% 0.12/10.51 inference(cnf_transformation,[status(thm)],[f190])).
% 0.12/10.51 fof(f193,plain,(
% 0.12/10.51 ~sK24_skl=sK25_skl),
% 0.12/10.51 inference(cnf_transformation,[status(thm)],[f190])).
% 0.12/10.51 fof(f198,plain,(
% 0.12/10.51 ![X0,X1,X2]: (~between_c(X0,X1,X2,X1))),
% 0.12/10.51 inference(destructive_equality_resolution,[status(thm)],[f118])).
% 0.12/10.51 fof(f573,plain,(
% 0.12/10.51 ![X0,X1,X2,X3]: (between_o(X0,X1,X2,X3)|~ordered_by(X0,X1,X2)|~finish_point(X3,X0)|X3=X2|~incident_o(X2,X0))),
% 0.12/10.51 inference(resolution,[status(thm)],[f130,f146])).
% 0.12/10.51 fof(f575,plain,(
% 0.12/10.51 ![X0,X1,X2,X3]: (between_o(X0,X1,X2,X3)|~ordered_by(X0,X1,X2)|~finish_point(X3,X0)|X3=X2)),
% 0.12/10.51 inference(forward_subsumption_resolution,[status(thm)],[f573,f152])).
% 0.12/10.51 fof(f648,plain,(
% 0.12/10.51 ![X0,X1]: (between_o(sK26_skl,X0,X1,sK25_skl)|~ordered_by(sK26_skl,X0,X1)|sK25_skl=X1)),
% 0.12/10.51 inference(resolution,[status(thm)],[f575,f192])).
% 0.12/10.51 fof(f649,plain,(
% 0.12/10.51 ![X0,X1]: (between_o(sK26_skl,X0,X1,sK24_skl)|~ordered_by(sK26_skl,X0,X1)|sK24_skl=X1)),
% 0.12/10.51 inference(resolution,[status(thm)],[f575,f191])).
% 0.12/10.51 fof(f652,plain,(
% 0.12/10.51 ![X0,X1]: (between_o(sK26_skl,X0,X1,sK25_skl)|sK25_skl=X1|~finish_point(X1,sK26_skl)|X1=X0|~incident_o(X0,sK26_skl))),
% 0.12/10.51 inference(resolution,[status(thm)],[f648,f146])).
% 0.12/10.51 fof(f658,plain,(
% 0.12/10.51 ![X0]: (between_o(sK26_skl,X0,sK24_skl,sK25_skl)|sK25_skl=sK24_skl|sK24_skl=X0|~incident_o(X0,sK26_skl))),
% 0.12/10.51 inference(resolution,[status(thm)],[f652,f191])).
% 0.12/10.51 fof(f659,plain,(
% 0.12/10.51 ![X0]: (between_o(sK26_skl,X0,sK24_skl,sK25_skl)|sK24_skl=X0|~incident_o(X0,sK26_skl))),
% 0.12/10.51 inference(forward_subsumption_resolution,[status(thm)],[f658,f193])).
% 0.12/10.51 fof(f672,plain,(
% 0.12/10.51 ![X0]: (sK24_skl=X0|~incident_o(X0,sK26_skl)|ordered_by(sK26_skl,X0,sK24_skl)|ordered_by(sK26_skl,sK24_skl,X0))),
% 0.12/10.51 inference(resolution,[status(thm)],[f659,f127])).
% 0.12/10.51 fof(f693,plain,(
% 0.12/10.51 ![X0]: (sK24_skl=X0|ordered_by(sK26_skl,X0,sK24_skl)|ordered_by(sK26_skl,sK24_skl,X0)|~finish_point(X0,sK26_skl))),
% 0.12/10.51 inference(resolution,[status(thm)],[f672,f145])).
% 0.12/10.51 fof(f695,plain,(
% 0.12/10.51 sK24_skl=sK25_skl|ordered_by(sK26_skl,sK25_skl,sK24_skl)|ordered_by(sK26_skl,sK24_skl,sK25_skl)),
% 0.12/10.51 inference(resolution,[status(thm)],[f693,f192])).
% 0.12/10.51 fof(f697,plain,(
% 0.12/10.51 ordered_by(sK26_skl,sK25_skl,sK24_skl)|ordered_by(sK26_skl,sK24_skl,sK25_skl)),
% 0.12/10.51 inference(forward_subsumption_resolution,[status(thm)],[f695,f193])).
% 0.12/10.51 fof(f698,plain,(
% 0.12/10.51 ordered_by(sK26_skl,sK25_skl,sK24_skl)|between_o(sK26_skl,sK24_skl,sK25_skl,sK24_skl)|sK24_skl=sK25_skl),
% 0.12/10.51 inference(resolution,[status(thm)],[f697,f649])).
% 0.12/10.51 fof(f704,plain,(
% 0.12/10.51 ordered_by(sK26_skl,sK25_skl,sK24_skl)|between_o(sK26_skl,sK24_skl,sK25_skl,sK24_skl)),
% 0.12/10.51 inference(forward_subsumption_resolution,[status(thm)],[f698,f193])).
% 0.12/10.51 fof(f711,plain,(
% 0.12/10.51 ordered_by(sK26_skl,sK25_skl,sK24_skl)|between_c(sK17_skl(sK26_skl,sK24_skl,sK25_skl,sK24_skl),sK24_skl,sK25_skl,sK24_skl)),
% 0.12/10.51 inference(resolution,[status(thm)],[f704,f164])).
% 0.12/10.51 fof(f718,plain,(
% 0.12/10.51 ordered_by(sK26_skl,sK25_skl,sK24_skl)),
% 0.12/10.51 inference(forward_subsumption_resolution,[status(thm)],[f711,f198])).
% 0.12/10.51 fof(f733,plain,(
% 0.12/10.51 between_o(sK26_skl,sK25_skl,sK24_skl,sK25_skl)|sK25_skl=sK24_skl),
% 0.12/10.51 inference(resolution,[status(thm)],[f718,f648])).
% 0.12/10.51 fof(f738,plain,(
% 0.12/10.51 between_o(sK26_skl,sK25_skl,sK24_skl,sK25_skl)),
% 0.12/10.51 inference(forward_subsumption_resolution,[status(thm)],[f733,f193])).
% 0.12/10.51 fof(f739,plain,(
% 0.12/10.51 between_c(sK17_skl(sK26_skl,sK25_skl,sK24_skl,sK25_skl),sK25_skl,sK24_skl,sK25_skl)),
% 0.12/10.51 inference(resolution,[status(thm)],[f738,f164])).
% 0.12/10.51 fof(f746,plain,(
% 0.12/10.51 $false),
% 0.12/10.51 inference(forward_subsumption_resolution,[status(thm)],[f739,f198])).
% 0.12/10.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/10.52 % Elapsed time: 0.126272 seconds
% 0.12/10.52 % CPU time: 0.659392 seconds
% 0.12/10.52 % Total memory used: 91.574 MB
% 0.12/10.52 % Net memory used: 90.650 MB
%------------------------------------------------------------------------------