0.11/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.13/0.34 % Computer : n005.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 02:54:19 EDT 2022 0.13/0.35 % CPUTime : 0.13/0.36 % Drodi V3.3.3 0.20/0.53 % Refutation found 0.20/0.53 % SZS status Theorem for theBenchmark: Theorem is valid 0.20/0.53 % SZS output start CNFRefutation for theBenchmark 0.20/0.53 fof(f3,axiom,( 0.20/0.53 (! [P,C] :( inner_point(P,C)<=> ( ~ end_point(P,C)& incident_c(P,C) ) ) )), 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.20/0.53 fof(f16,axiom,( 0.20/0.53 (! [P,C] :( ( incident_c(P,C)& (! [C1,C2] :( ( part_of(C2,C1)| part_of(C1,C2) )<= ( part_of(C1,C)& incident_c(P,C2)& incident_c(P,C1)& part_of(C2,C) ) ) ))<=> end_point(P,C) ) )), 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.20/0.53 fof(f17,axiom,( 0.20/0.53 (! [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 ) ) )), 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.20/0.53 fof(f18,conjecture,( 0.20/0.53 (! [C,P,Q,R] :( between_c(C,R,Q,P)<= between_c(C,P,Q,R) ) )), 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.20/0.53 fof(f19,negated_conjecture,( 0.20/0.53 ~((! [C,P,Q,R] :( between_c(C,R,Q,P)<= between_c(C,P,Q,R) ) ))), 0.20/0.53 inference(negated_conjecture,[status(cth)],[f18])). 0.20/0.53 fof(f30,plain,( 0.20/0.53 ![P,C]: ((~inner_point(P,C)|(~end_point(P,C)&incident_c(P,C)))&(inner_point(P,C)|(end_point(P,C)|~incident_c(P,C))))), 0.20/0.53 inference(NNF_transformation,[status(esa)],[f3])). 0.20/0.53 fof(f31,plain,( 0.20/0.53 (![P,C]: (~inner_point(P,C)|(~end_point(P,C)&incident_c(P,C))))&(![P,C]: (inner_point(P,C)|(end_point(P,C)|~incident_c(P,C))))), 0.20/0.53 inference(miniscoping,[status(esa)],[f30])). 0.20/0.53 fof(f32,plain,( 0.20/0.53 ![X0,X1]: (~inner_point(X0,X1)|~end_point(X0,X1))), 0.20/0.53 inference(cnf_transformation,[status(esa)],[f31])). 0.20/0.53 fof(f34,plain,( 0.20/0.53 ![X0,X1]: (inner_point(X0,X1)|end_point(X0,X1)|~incident_c(X0,X1))), 0.20/0.53 inference(cnf_transformation,[status(esa)],[f31])). 0.20/0.53 fof(f93,plain,( 0.20/0.53 ![P,C]: ((incident_c(P,C)&(![C1,C2]: ((part_of(C2,C1)|part_of(C1,C2))|(((~part_of(C1,C)|~incident_c(P,C2))|~incident_c(P,C1))|~part_of(C2,C)))))<=>end_point(P,C))), 0.20/0.53 inference(pre_NNF_transformation,[status(esa)],[f16])). 0.20/0.53 fof(f94,plain,( 0.20/0.53 ![P,C]: (((~incident_c(P,C)|(?[C1,C2]: ((~part_of(C2,C1)&~part_of(C1,C2))&(((part_of(C1,C)&incident_c(P,C2))&incident_c(P,C1))&part_of(C2,C)))))|end_point(P,C))&((incident_c(P,C)&(![C1,C2]: ((part_of(C2,C1)|part_of(C1,C2))|(((~part_of(C1,C)|~incident_c(P,C2))|~incident_c(P,C1))|~part_of(C2,C)))))|~end_point(P,C)))), 0.20/0.53 inference(NNF_transformation,[status(esa)],[f93])). 0.20/0.53 fof(f95,plain,( 0.20/0.53 (![P,C]: ((~incident_c(P,C)|(?[C1,C2]: ((~part_of(C2,C1)&~part_of(C1,C2))&(((part_of(C1,C)&incident_c(P,C2))&incident_c(P,C1))&part_of(C2,C)))))|end_point(P,C)))&(![P,C]: ((incident_c(P,C)&(![C1,C2]: ((part_of(C2,C1)|part_of(C1,C2))|(((~part_of(C1,C)|~incident_c(P,C2))|~incident_c(P,C1))|~part_of(C2,C)))))|~end_point(P,C)))), 0.20/0.53 inference(miniscoping,[status(esa)],[f94])). 0.20/0.53 fof(f96,plain,( 0.20/0.53 (![P,C]: ((~incident_c(P,C)|((~part_of(sk0_12(C,P),sk0_11(C,P))&~part_of(sk0_11(C,P),sk0_12(C,P)))&(((part_of(sk0_11(C,P),C)&incident_c(P,sk0_12(C,P)))&incident_c(P,sk0_11(C,P)))&part_of(sk0_12(C,P),C))))|end_point(P,C)))&(![P,C]: ((incident_c(P,C)&(![C1,C2]: ((part_of(C2,C1)|part_of(C1,C2))|(((~part_of(C1,C)|~incident_c(P,C2))|~incident_c(P,C1))|~part_of(C2,C)))))|~end_point(P,C)))), 0.20/0.53 inference(skolemization,[status(esa)],[f95])). 0.20/0.53 fof(f103,plain,( 0.20/0.53 ![X0,X1]: (incident_c(X0,X1)|~end_point(X0,X1))), 0.20/0.53 inference(cnf_transformation,[status(esa)],[f96])). 0.20/0.53 fof(f105,plain,( 0.20/0.53 ![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)))), 0.20/0.53 inference(NNF_transformation,[status(esa)],[f17])). 0.20/0.53 fof(f106,plain,( 0.20/0.53 (![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)))), 0.20/0.53 inference(miniscoping,[status(esa)],[f105])). 0.20/0.53 fof(f107,plain,( 0.20/0.53 (![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)))), 0.20/0.53 inference(skolemization,[status(esa)],[f106])). 0.20/0.53 fof(f108,plain,( 0.20/0.53 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|inner_point(X2,sk0_13(X3,X2,X1,X0)))), 0.20/0.53 inference(cnf_transformation,[status(esa)],[f107])). 0.20/0.53 fof(f109,plain,( 0.20/0.53 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|end_point(X3,sk0_13(X3,X2,X1,X0)))), 0.20/0.53 inference(cnf_transformation,[status(esa)],[f107])). 0.20/0.53 fof(f110,plain,( 0.20/0.53 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|end_point(X1,sk0_13(X3,X2,X1,X0)))), 0.20/0.53 inference(cnf_transformation,[status(esa)],[f107])). 0.20/0.53 fof(f111,plain,( 0.20/0.53 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|part_of(sk0_13(X3,X2,X1,X0),X0))), 0.20/0.53 inference(cnf_transformation,[status(esa)],[f107])). 0.20/0.53 fof(f112,plain,( 0.20/0.53 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|~X3=X1)), 0.20/0.53 inference(cnf_transformation,[status(esa)],[f107])). 0.20/0.53 fof(f113,plain,( 0.20/0.53 ![X0,X1,X2,X3,X4]: (between_c(X0,X1,X2,X3)|~inner_point(X2,X4)|~end_point(X3,X4)|~end_point(X1,X4)|~part_of(X4,X0)|X3=X1)), 0.20/0.53 inference(cnf_transformation,[status(esa)],[f107])). 0.20/0.53 fof(f114,plain,( 0.20/0.53 (?[C,P,Q,R]: (~between_c(C,R,Q,P)&between_c(C,P,Q,R)))), 0.20/0.53 inference(pre_NNF_transformation,[status(esa)],[f19])). 0.20/0.53 fof(f115,plain,( 0.20/0.53 (~between_c(sk0_14,sk0_17,sk0_16,sk0_15)&between_c(sk0_14,sk0_15,sk0_16,sk0_17))), 0.20/0.53 inference(skolemization,[status(esa)],[f114])). 0.20/0.53 fof(f116,plain,( 0.20/0.53 ~between_c(sk0_14,sk0_17,sk0_16,sk0_15)), 0.20/0.53 inference(cnf_transformation,[status(esa)],[f115])). 0.20/0.53 fof(f117,plain,( 0.20/0.53 between_c(sk0_14,sk0_15,sk0_16,sk0_17)), 0.20/0.53 inference(cnf_transformation,[status(esa)],[f115])). 0.20/0.53 fof(f122,plain,( 0.20/0.53 ![X0,X1,X2]: (~between_c(X0,X1,X2,X1))), 0.20/0.53 inference(destructive_equality_resolution,[status(esa)],[f112])). 0.20/0.53 fof(f129,plain,( 0.20/0.53 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|~inner_point(X3,sk0_13(X3,X2,X1,X0)))), 0.20/0.53 inference(resolution,[status(thm)],[f109,f32])). 0.20/0.53 fof(f131,plain,( 0.20/0.53 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|~inner_point(X1,sk0_13(X3,X2,X1,X0)))), 0.20/0.53 inference(resolution,[status(thm)],[f110,f32])). 0.20/0.53 fof(f133,plain,( 0.20/0.53 spl0_0 <=> ~inner_point(sk0_16,X0)|~end_point(sk0_15,X0)|~end_point(sk0_17,X0)|~part_of(X0,sk0_14)), 0.20/0.53 introduced(split_symbol_definition)). 0.20/0.53 fof(f134,plain,( 0.20/0.53 ![X0]: (~inner_point(sk0_16,X0)|~end_point(sk0_15,X0)|~end_point(sk0_17,X0)|~part_of(X0,sk0_14)|~spl0_0)), 0.20/0.53 inference(component_clause,[status(thm)],[f133])). 0.20/0.53 fof(f136,plain,( 0.20/0.53 spl0_1 <=> sk0_15=sk0_17), 0.20/0.53 introduced(split_symbol_definition)). 0.20/0.53 fof(f137,plain,( 0.20/0.53 sk0_15=sk0_17|~spl0_1), 0.20/0.53 inference(component_clause,[status(thm)],[f136])). 0.20/0.53 fof(f139,plain,( 0.20/0.53 ![X0]: (~inner_point(sk0_16,X0)|~end_point(sk0_15,X0)|~end_point(sk0_17,X0)|~part_of(X0,sk0_14)|sk0_15=sk0_17)), 0.20/0.53 inference(resolution,[status(thm)],[f113,f116])). 0.20/0.53 fof(f140,plain,( 0.20/0.53 spl0_0|spl0_1), 0.20/0.53 inference(split_clause,[status(thm)],[f139,f133,f136])). 0.20/0.53 fof(f449,plain,( 0.20/0.53 ~inner_point(sk0_17,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))), 0.20/0.53 inference(resolution,[status(thm)],[f129,f117])). 0.20/0.53 fof(f451,plain,( 0.20/0.53 spl0_40 <=> end_point(sk0_17,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))), 0.20/0.53 introduced(split_symbol_definition)). 0.20/0.53 fof(f452,plain,( 0.20/0.53 end_point(sk0_17,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))|~spl0_40), 0.20/0.53 inference(component_clause,[status(thm)],[f451])). 0.20/0.53 fof(f454,plain,( 0.20/0.53 spl0_41 <=> incident_c(sk0_17,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))), 0.20/0.53 introduced(split_symbol_definition)). 0.20/0.53 fof(f456,plain,( 0.20/0.53 ~incident_c(sk0_17,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))|spl0_41), 0.20/0.53 inference(component_clause,[status(thm)],[f454])). 0.20/0.53 fof(f457,plain,( 0.20/0.53 end_point(sk0_17,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))|~incident_c(sk0_17,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))), 0.20/0.53 inference(resolution,[status(thm)],[f449,f34])). 0.20/0.53 fof(f458,plain,( 0.20/0.53 spl0_40|~spl0_41), 0.20/0.53 inference(split_clause,[status(thm)],[f457,f451,f454])). 0.20/0.53 fof(f466,plain,( 0.20/0.53 ~inner_point(sk0_15,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))), 0.20/0.53 inference(resolution,[status(thm)],[f131,f117])). 0.20/0.53 fof(f479,plain,( 0.20/0.53 ~end_point(sk0_17,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))|spl0_41), 0.20/0.53 inference(resolution,[status(thm)],[f456,f103])). 0.20/0.53 fof(f483,plain,( 0.20/0.53 spl0_42 <=> end_point(sk0_15,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))), 0.20/0.53 introduced(split_symbol_definition)). 0.20/0.53 fof(f486,plain,( 0.20/0.53 spl0_43 <=> incident_c(sk0_15,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))), 0.20/0.53 introduced(split_symbol_definition)). 0.20/0.53 fof(f488,plain,( 0.20/0.53 ~incident_c(sk0_15,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))|spl0_43), 0.20/0.53 inference(component_clause,[status(thm)],[f486])). 0.20/0.53 fof(f489,plain,( 0.20/0.53 end_point(sk0_15,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))|~incident_c(sk0_15,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))), 0.20/0.53 inference(resolution,[status(thm)],[f466,f34])). 0.20/0.53 fof(f490,plain,( 0.20/0.53 spl0_42|~spl0_43), 0.20/0.53 inference(split_clause,[status(thm)],[f489,f483,f486])). 0.20/0.53 fof(f492,plain,( 0.20/0.53 ~between_c(sk0_14,sk0_15,sk0_16,sk0_17)|spl0_41), 0.20/0.53 inference(resolution,[status(thm)],[f479,f109])). 0.20/0.53 fof(f493,plain,( 0.20/0.53 $false|spl0_41), 0.20/0.53 inference(forward_subsumption_resolution,[status(thm)],[f492,f117])). 0.20/0.53 fof(f494,plain,( 0.20/0.53 spl0_41), 0.20/0.53 inference(contradiction_clause,[status(thm)],[f493])). 0.20/0.53 fof(f498,plain,( 0.20/0.53 ~end_point(sk0_15,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))|spl0_43), 0.20/0.53 inference(resolution,[status(thm)],[f488,f103])). 0.20/0.53 fof(f502,plain,( 0.20/0.53 ~between_c(sk0_14,sk0_15,sk0_16,sk0_17)|spl0_43), 0.20/0.53 inference(resolution,[status(thm)],[f498,f110])). 0.20/0.53 fof(f503,plain,( 0.20/0.53 $false|spl0_43), 0.20/0.53 inference(forward_subsumption_resolution,[status(thm)],[f502,f117])). 0.20/0.53 fof(f504,plain,( 0.20/0.53 spl0_43), 0.20/0.53 inference(contradiction_clause,[status(thm)],[f503])). 0.20/0.53 fof(f748,plain,( 0.20/0.53 spl0_60 <=> inner_point(sk0_16,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))), 0.20/0.53 introduced(split_symbol_definition)). 0.20/0.53 fof(f750,plain,( 0.20/0.53 ~inner_point(sk0_16,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))|spl0_60), 0.20/0.53 inference(component_clause,[status(thm)],[f748])). 0.20/0.53 fof(f751,plain,( 0.20/0.53 spl0_61 <=> part_of(sk0_13(sk0_17,sk0_16,sk0_15,sk0_14),sk0_14)), 0.20/0.53 introduced(split_symbol_definition)). 0.20/0.53 fof(f753,plain,( 0.20/0.53 ~part_of(sk0_13(sk0_17,sk0_16,sk0_15,sk0_14),sk0_14)|spl0_61), 0.20/0.53 inference(component_clause,[status(thm)],[f751])). 0.20/0.53 fof(f754,plain,( 0.20/0.53 ~inner_point(sk0_16,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))|~end_point(sk0_15,sk0_13(sk0_17,sk0_16,sk0_15,sk0_14))|~part_of(sk0_13(sk0_17,sk0_16,sk0_15,sk0_14),sk0_14)|~spl0_40|~spl0_0), 0.20/0.53 inference(resolution,[status(thm)],[f452,f134])). 0.20/0.53 fof(f755,plain,( 0.20/0.53 ~spl0_60|~spl0_42|~spl0_61|~spl0_40|~spl0_0), 0.20/0.53 inference(split_clause,[status(thm)],[f754,f748,f483,f751,f451,f133])). 0.20/0.53 fof(f821,plain,( 0.20/0.53 between_c(sk0_14,sk0_15,sk0_16,sk0_15)|~spl0_1), 0.20/0.53 inference(paramodulation,[status(thm)],[f137,f117])). 0.20/0.53 fof(f822,plain,( 0.20/0.53 $false|~spl0_1), 0.20/0.53 inference(forward_subsumption_resolution,[status(thm)],[f821,f122])). 0.20/0.53 fof(f823,plain,( 0.20/0.53 ~spl0_1), 0.20/0.53 inference(contradiction_clause,[status(thm)],[f822])). 0.20/0.53 fof(f1022,plain,( 0.20/0.53 ~between_c(sk0_14,sk0_15,sk0_16,sk0_17)|spl0_60), 0.20/0.53 inference(resolution,[status(thm)],[f750,f108])). 0.20/0.53 fof(f1023,plain,( 0.20/0.53 $false|spl0_60), 0.20/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1022,f117])). 0.20/0.53 fof(f1024,plain,( 0.20/0.53 spl0_60), 0.20/0.53 inference(contradiction_clause,[status(thm)],[f1023])). 0.20/0.53 fof(f1025,plain,( 0.20/0.53 ~between_c(sk0_14,sk0_15,sk0_16,sk0_17)|spl0_61), 0.20/0.54 inference(resolution,[status(thm)],[f753,f111])). 0.20/0.54 fof(f1026,plain,( 0.20/0.54 $false|spl0_61), 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f1025,f117])). 0.20/0.54 fof(f1027,plain,( 0.20/0.54 spl0_61), 0.20/0.54 inference(contradiction_clause,[status(thm)],[f1026])). 0.20/0.54 fof(f1028,plain,( 0.20/0.54 $false), 0.20/0.54 inference(sat_refutation,[status(thm)],[f140,f458,f490,f494,f504,f755,f823,f1024,f1027])). 0.20/0.54 % SZS output end CNFRefutation for theBenchmark.p 0.20/0.54 % Elapsed time: 0.191104 seconds 0.20/0.54 % CPU time: 1.363262 seconds 0.20/0.54 % Memory used: 89.931 MB 0.20/0.54 EOF