0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.10/0.30 % Computer : n013.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Tue Aug 9 02:26:00 EDT 2022 0.10/0.30 % CPUTime : 0.10/0.31 % Drodi V3.3.3 0.14/0.37 % Refutation found 0.14/0.37 % SZS status Theorem for theBenchmark: Theorem is valid 0.14/0.37 % SZS output start CNFRefutation for theBenchmark 0.14/0.37 fof(f17,axiom,( 0.14/0.37 (! [C,P,Q,R] :( between_c(C,P,Q,R)<=> ( (? [Cpp] :( inner_point(Q,Cpp)& end_point(R,Cpp)& end_point(P,Cpp)& part_of(Cpp,C) ))& R != P ) ) )), 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.14/0.37 fof(f18,axiom,( 0.14/0.37 (! [P,O] :( finish_point(P,O)<=> ( (! [Q] :( ( incident_o(Q,O)& Q != P )=> ordered_by(O,Q,P) ))& incident_o(P,O) ) ) )), 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.14/0.37 fof(f20,axiom,( 0.14/0.37 (! [P,Q,R,O] :( between_o(O,P,Q,R)<=> (? [C] :( (! [P] :( incident_c(P,C)<=> incident_o(P,O) ))& between_c(C,P,Q,R) ) )) )), 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.14/0.37 fof(f25,axiom,( 0.14/0.37 (! [O,P,Q] :( ordered_by(O,P,Q)=> ( incident_o(Q,O)& incident_o(P,O) ) ) )), 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.14/0.37 fof(f27,axiom,( 0.14/0.37 (! [O,P,Q,R] :( between_o(O,P,Q,R)<=> ( ( ordered_by(O,Q,R)& ordered_by(O,P,Q) )| ( ordered_by(O,R,Q)& ordered_by(O,Q,P) ) ) ) )), 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.14/0.37 fof(f28,conjecture,( 0.14/0.37 (! [O,P,Q] :( ( finish_point(P,O)& finish_point(Q,O) )=> P = Q ) )), 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.14/0.37 fof(f29,negated_conjecture,( 0.14/0.37 ~((! [O,P,Q] :( ( finish_point(P,O)& finish_point(Q,O) )=> P = Q ) ))), 0.14/0.37 inference(negated_conjecture,[status(cth)],[f28])). 0.14/0.37 fof(f115,plain,( 0.14/0.37 ![C,P,Q,R]: ((~between_c(C,P,Q,R)|((?[Cpp]: (((inner_point(Q,Cpp)&end_point(R,Cpp))&end_point(P,Cpp))&part_of(Cpp,C)))&~R=P))&(between_c(C,P,Q,R)|((![Cpp]: (((~inner_point(Q,Cpp)|~end_point(R,Cpp))|~end_point(P,Cpp))|~part_of(Cpp,C)))|R=P)))), 0.14/0.37 inference(NNF_transformation,[status(esa)],[f17])). 0.14/0.37 fof(f116,plain,( 0.14/0.37 (![C,P,Q,R]: (~between_c(C,P,Q,R)|((?[Cpp]: (((inner_point(Q,Cpp)&end_point(R,Cpp))&end_point(P,Cpp))&part_of(Cpp,C)))&~R=P)))&(![C,P,Q,R]: (between_c(C,P,Q,R)|((![Cpp]: (((~inner_point(Q,Cpp)|~end_point(R,Cpp))|~end_point(P,Cpp))|~part_of(Cpp,C)))|R=P)))), 0.14/0.37 inference(miniscoping,[status(esa)],[f115])). 0.14/0.37 fof(f117,plain,( 0.14/0.37 (![C,P,Q,R]: (~between_c(C,P,Q,R)|((((inner_point(Q,sk0_13(R,Q,P,C))&end_point(R,sk0_13(R,Q,P,C)))&end_point(P,sk0_13(R,Q,P,C)))&part_of(sk0_13(R,Q,P,C),C))&~R=P)))&(![C,P,Q,R]: (between_c(C,P,Q,R)|((![Cpp]: (((~inner_point(Q,Cpp)|~end_point(R,Cpp))|~end_point(P,Cpp))|~part_of(Cpp,C)))|R=P)))), 0.14/0.37 inference(skolemization,[status(esa)],[f116])). 0.14/0.37 fof(f122,plain,( 0.14/0.37 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|~X3=X1)), 0.14/0.37 inference(cnf_transformation,[status(esa)],[f117])). 0.14/0.37 fof(f124,plain,( 0.14/0.37 ![P,O]: (finish_point(P,O)<=>((![Q]: ((~incident_o(Q,O)|Q=P)|ordered_by(O,Q,P)))&incident_o(P,O)))), 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f18])). 0.14/0.37 fof(f125,plain,( 0.14/0.37 ![P,O]: ((~finish_point(P,O)|((![Q]: ((~incident_o(Q,O)|Q=P)|ordered_by(O,Q,P)))&incident_o(P,O)))&(finish_point(P,O)|((?[Q]: ((incident_o(Q,O)&~Q=P)&~ordered_by(O,Q,P)))|~incident_o(P,O))))), 0.14/0.37 inference(NNF_transformation,[status(esa)],[f124])). 0.14/0.37 fof(f126,plain,( 0.14/0.37 (![P,O]: (~finish_point(P,O)|((![Q]: ((~incident_o(Q,O)|Q=P)|ordered_by(O,Q,P)))&incident_o(P,O))))&(![P,O]: (finish_point(P,O)|((?[Q]: ((incident_o(Q,O)&~Q=P)&~ordered_by(O,Q,P)))|~incident_o(P,O))))), 0.14/0.37 inference(miniscoping,[status(esa)],[f125])). 0.14/0.37 fof(f127,plain,( 0.14/0.37 (![P,O]: (~finish_point(P,O)|((![Q]: ((~incident_o(Q,O)|Q=P)|ordered_by(O,Q,P)))&incident_o(P,O))))&(![P,O]: (finish_point(P,O)|(((incident_o(sk0_14(O,P),O)&~sk0_14(O,P)=P)&~ordered_by(O,sk0_14(O,P),P))|~incident_o(P,O))))), 0.14/0.37 inference(skolemization,[status(esa)],[f126])). 0.14/0.37 fof(f128,plain,( 0.14/0.37 ![X0,X1,X2]: (~finish_point(X0,X1)|~incident_o(X2,X1)|X2=X0|ordered_by(X1,X2,X0))), 0.14/0.37 inference(cnf_transformation,[status(esa)],[f127])). 0.14/0.37 fof(f129,plain,( 0.14/0.37 ![X0,X1]: (~finish_point(X0,X1)|incident_o(X0,X1))), 0.14/0.37 inference(cnf_transformation,[status(esa)],[f127])). 0.14/0.37 fof(f142,plain,( 0.14/0.37 ![P,Q,R,O]: ((~between_o(O,P,Q,R)|(?[C]: ((![P]: ((~incident_c(P,C)|incident_o(P,O))&(incident_c(P,C)|~incident_o(P,O))))&between_c(C,P,Q,R))))&(between_o(O,P,Q,R)|(![C]: ((?[P]: ((~incident_c(P,C)|~incident_o(P,O))&(incident_c(P,C)|incident_o(P,O))))|~between_c(C,P,Q,R)))))), 0.14/0.37 inference(NNF_transformation,[status(esa)],[f20])). 0.14/0.37 fof(f143,plain,( 0.14/0.37 (![P,Q,R,O]: (~between_o(O,P,Q,R)|(?[C]: (((![P]: (~incident_c(P,C)|incident_o(P,O)))&(![P]: (incident_c(P,C)|~incident_o(P,O))))&between_c(C,P,Q,R)))))&(![P,Q,R,O]: (between_o(O,P,Q,R)|(![C]: ((?[P]: ((~incident_c(P,C)|~incident_o(P,O))&(incident_c(P,C)|incident_o(P,O))))|~between_c(C,P,Q,R)))))), 0.14/0.37 inference(miniscoping,[status(esa)],[f142])). 0.14/0.37 fof(f144,plain,( 0.14/0.37 (![P,Q,R,O]: (~between_o(O,P,Q,R)|(((![P]: (~incident_c(P,sk0_16(O,R,Q,P))|incident_o(P,O)))&(![P]: (incident_c(P,sk0_16(O,R,Q,P))|~incident_o(P,O))))&between_c(sk0_16(O,R,Q,P),P,Q,R))))&(![P,Q,R,O]: (between_o(O,P,Q,R)|(![C]: (((~incident_c(sk0_17(C,O,R,Q,P),C)|~incident_o(sk0_17(C,O,R,Q,P),O))&(incident_c(sk0_17(C,O,R,Q,P),C)|incident_o(sk0_17(C,O,R,Q,P),O)))|~between_c(C,P,Q,R)))))), 0.14/0.37 inference(skolemization,[status(esa)],[f143])). 0.14/0.37 fof(f147,plain,( 0.14/0.37 ![X0,X1,X2,X3]: (~between_o(X0,X1,X2,X3)|between_c(sk0_16(X0,X3,X2,X1),X1,X2,X3))), 0.14/0.37 inference(cnf_transformation,[status(esa)],[f144])). 0.14/0.37 fof(f170,plain,( 0.14/0.37 ![O,P,Q]: (~ordered_by(O,P,Q)|(incident_o(Q,O)&incident_o(P,O)))), 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f25])). 0.14/0.37 fof(f171,plain,( 0.14/0.37 ![X0,X1,X2]: (~ordered_by(X0,X1,X2)|incident_o(X2,X0))), 0.14/0.37 inference(cnf_transformation,[status(esa)],[f170])). 0.14/0.37 fof(f180,plain,( 0.14/0.37 ![O,P,Q,R]: ((~between_o(O,P,Q,R)|((ordered_by(O,Q,R)&ordered_by(O,P,Q))|(ordered_by(O,R,Q)&ordered_by(O,Q,P))))&(between_o(O,P,Q,R)|((~ordered_by(O,Q,R)|~ordered_by(O,P,Q))&(~ordered_by(O,R,Q)|~ordered_by(O,Q,P)))))), 0.14/0.37 inference(NNF_transformation,[status(esa)],[f27])). 0.14/0.37 fof(f181,plain,( 0.14/0.37 (![O,P,Q,R]: (~between_o(O,P,Q,R)|((ordered_by(O,Q,R)&ordered_by(O,P,Q))|(ordered_by(O,R,Q)&ordered_by(O,Q,P)))))&(![O,P,Q,R]: (between_o(O,P,Q,R)|((~ordered_by(O,Q,R)|~ordered_by(O,P,Q))&(~ordered_by(O,R,Q)|~ordered_by(O,Q,P)))))), 0.14/0.37 inference(miniscoping,[status(esa)],[f180])). 0.14/0.37 fof(f186,plain,( 0.14/0.37 ![X0,X1,X2,X3]: (between_o(X0,X1,X2,X3)|~ordered_by(X0,X2,X3)|~ordered_by(X0,X1,X2))), 0.14/0.37 inference(cnf_transformation,[status(esa)],[f181])). 0.14/0.37 fof(f188,plain,( 0.14/0.37 (?[O,P,Q]: ((finish_point(P,O)&finish_point(Q,O))&~P=Q))), 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f29])). 0.14/0.37 fof(f189,plain,( 0.14/0.37 ?[P,Q]: ((?[O]: (finish_point(P,O)&finish_point(Q,O)))&~P=Q)), 0.14/0.37 inference(miniscoping,[status(esa)],[f188])). 0.14/0.37 fof(f190,plain,( 0.14/0.37 ((finish_point(sk0_24,sk0_26)&finish_point(sk0_25,sk0_26))&~sk0_24=sk0_25)), 0.14/0.37 inference(skolemization,[status(esa)],[f189])). 0.14/0.37 fof(f191,plain,( 0.14/0.37 finish_point(sk0_24,sk0_26)), 0.14/0.37 inference(cnf_transformation,[status(esa)],[f190])). 0.14/0.37 fof(f192,plain,( 0.14/0.37 finish_point(sk0_25,sk0_26)), 0.14/0.37 inference(cnf_transformation,[status(esa)],[f190])). 0.14/0.37 fof(f193,plain,( 0.14/0.37 ~sk0_24=sk0_25), 0.14/0.37 inference(cnf_transformation,[status(esa)],[f190])). 0.14/0.37 fof(f198,plain,( 0.14/0.37 ![X0,X1,X2]: (~between_c(X0,X1,X2,X1))), 0.14/0.37 inference(destructive_equality_resolution,[status(esa)],[f122])). 0.14/0.37 fof(f293,plain,( 0.14/0.37 spl0_5 <=> sk0_24=sk0_25), 0.14/0.37 introduced(split_symbol_definition)). 0.14/0.37 fof(f294,plain,( 0.14/0.37 sk0_24=sk0_25|~spl0_5), 0.14/0.37 inference(component_clause,[status(thm)],[f293])). 0.14/0.37 fof(f303,plain,( 0.14/0.37 $false|~spl0_5), 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f294,f193])). 0.14/0.37 fof(f304,plain,( 0.14/0.37 ~spl0_5), 0.14/0.37 inference(contradiction_clause,[status(thm)],[f303])). 0.14/0.37 fof(f833,plain,( 0.14/0.37 ![X0,X1,X2]: (~between_o(X0,X1,X2,X1))), 0.14/0.37 inference(resolution,[status(thm)],[f147,f198])). 0.14/0.37 fof(f1016,plain,( 0.14/0.37 ![X0,X1,X2]: (~ordered_by(X0,X1,X2)|~ordered_by(X0,X2,X1))), 0.14/0.37 inference(resolution,[status(thm)],[f186,f833])). 0.14/0.37 fof(f1046,plain,( 0.14/0.37 ![X0,X1,X2]: (~ordered_by(X0,X1,X2)|~finish_point(X1,X0)|~incident_o(X2,X0)|X2=X1)), 0.14/0.37 inference(resolution,[status(thm)],[f1016,f128])). 0.14/0.37 fof(f1047,plain,( 0.14/0.37 ![X0,X1,X2]: (~ordered_by(X0,X1,X2)|~finish_point(X1,X0)|X2=X1)), 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f1046,f171])). 0.14/0.37 fof(f1246,plain,( 0.14/0.37 ![X0]: (~ordered_by(X0,sk0_25,sk0_24)|~finish_point(sk0_25,X0))), 0.14/0.37 inference(resolution,[status(thm)],[f1047,f193])). 0.14/0.37 fof(f1270,plain,( 0.14/0.37 spl0_83 <=> ~finish_point(sk0_25,X0)|~finish_point(sk0_24,X0)|~incident_o(sk0_25,X0)), 0.14/0.37 introduced(split_symbol_definition)). 0.14/0.37 fof(f1271,plain,( 0.14/0.37 ![X0]: (~finish_point(sk0_25,X0)|~finish_point(sk0_24,X0)|~incident_o(sk0_25,X0)|~spl0_83)), 0.14/0.37 inference(component_clause,[status(thm)],[f1270])). 0.14/0.37 fof(f1273,plain,( 0.14/0.37 ![X0]: (~finish_point(sk0_25,X0)|~finish_point(sk0_24,X0)|~incident_o(sk0_25,X0)|sk0_25=sk0_24)), 0.14/0.37 inference(resolution,[status(thm)],[f1246,f128])). 0.14/0.37 fof(f1274,plain,( 0.14/0.37 spl0_83|spl0_5), 0.14/0.37 inference(split_clause,[status(thm)],[f1273,f1270,f293])). 0.14/0.37 fof(f1275,plain,( 0.14/0.37 ![X0]: (~finish_point(sk0_25,X0)|~finish_point(sk0_24,X0)|~spl0_83)), 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f1271,f129])). 0.14/0.37 fof(f2621,plain,( 0.14/0.37 ~finish_point(sk0_24,sk0_26)|~spl0_83), 0.14/0.37 inference(resolution,[status(thm)],[f1275,f192])). 0.14/0.37 fof(f2622,plain,( 0.14/0.37 $false|~spl0_83), 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f2621,f191])). 0.14/0.37 fof(f2623,plain,( 0.14/0.37 ~spl0_83), 0.14/0.37 inference(contradiction_clause,[status(thm)],[f2622])). 0.14/0.37 fof(f2624,plain,( 0.14/0.37 $false), 0.14/0.37 inference(sat_refutation,[status(thm)],[f304,f1274,f2623])). 0.14/0.37 % SZS output end CNFRefutation for theBenchmark.p 0.14/0.38 % Elapsed time: 0.075815 seconds 0.14/0.38 % CPU time: 0.309329 seconds 0.14/0.38 % Memory used: 35.306 MB 0.14/0.38 EOF