TSTP Solution File: GEO272+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO272+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:08:39 EDT 2023
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO272+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 30 12:19:22 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,conjecture,(
% 0.12/0.37 (! [Vdthex] :( ( ron(vd1055,Vdthex)& rcenter(vd1057,Vdthex)& rcircle(Vdthex) )=> Vdthex = vd1063 ) )),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,negated_conjecture,(
% 0.12/0.37 ~((! [Vdthex] :( ( ron(vd1055,Vdthex)& rcenter(vd1057,Vdthex)& rcircle(Vdthex) )=> Vdthex = vd1063 ) ))),
% 0.12/0.37 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.37 fof(f3,axiom,(
% 0.12/0.37 ( ron(vd1055,vd1063)& rcenter(vd1057,vd1063)& rcircle(vd1063) ) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f7,axiom,(
% 0.12/0.37 ( vd1057 = vd1058& vd1055 != vd1057& rpoint(vd1058)& vd1055 = vd1056& rpoint(vd1056) ) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f10,axiom,(
% 0.12/0.37 (! [Vd837,Vd838,Vd842,Vd843,Vd844] :( ( vf(Vd842,Vd837) = vf(Vd842,Vd838)& ron(Vd838,Vd844)& ron(Vd837,Vd843)& rcenter(Vd842,Vd844)& rcenter(Vd842,Vd843)& (? [Vd841] :( Vd838 = Vd841& rpoint(Vd841) ))& (? [Vd840] :( Vd837 = Vd840& rpoint(Vd840) ) ))=> Vd843 = Vd844 ) )),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f110,plain,(
% 0.12/0.37 (?[Vdthex]: (((ron(vd1055,Vdthex)&rcenter(vd1057,Vdthex))&rcircle(Vdthex))&~Vdthex=vd1063))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.12/0.37 fof(f111,plain,(
% 0.12/0.37 (((ron(vd1055,sk0_0)&rcenter(vd1057,sk0_0))&rcircle(sk0_0))&~sk0_0=vd1063)),
% 0.12/0.37 inference(skolemization,[status(esa)],[f110])).
% 0.12/0.37 fof(f112,plain,(
% 0.12/0.37 ron(vd1055,sk0_0)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f111])).
% 0.12/0.37 fof(f113,plain,(
% 0.12/0.37 rcenter(vd1057,sk0_0)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f111])).
% 0.12/0.37 fof(f115,plain,(
% 0.12/0.37 ~sk0_0=vd1063),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f111])).
% 0.12/0.37 fof(f116,plain,(
% 0.12/0.37 ron(vd1055,vd1063)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f3])).
% 0.12/0.37 fof(f117,plain,(
% 0.12/0.37 rcenter(vd1057,vd1063)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f3])).
% 0.12/0.37 fof(f128,plain,(
% 0.12/0.37 vd1055=vd1056),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.37 fof(f129,plain,(
% 0.12/0.37 rpoint(vd1056)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.37 fof(f140,plain,(
% 0.12/0.37 ![Vd837,Vd838,Vd842,Vd843,Vd844]: (((((((~vf(Vd842,Vd837)=vf(Vd842,Vd838)|~ron(Vd838,Vd844))|~ron(Vd837,Vd843))|~rcenter(Vd842,Vd844))|~rcenter(Vd842,Vd843))|(![Vd841]: (~Vd838=Vd841|~rpoint(Vd841))))|(![Vd840]: (~Vd837=Vd840|~rpoint(Vd840))))|Vd843=Vd844)),
% 0.12/0.37 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.12/0.37 fof(f141,plain,(
% 0.12/0.37 ![Vd843,Vd844]: ((![Vd837]: ((![Vd838]: ((![Vd842]: ((((~vf(Vd842,Vd837)=vf(Vd842,Vd838)|~ron(Vd838,Vd844))|~ron(Vd837,Vd843))|~rcenter(Vd842,Vd844))|~rcenter(Vd842,Vd843)))|(![Vd841]: (~Vd838=Vd841|~rpoint(Vd841)))))|(![Vd840]: (~Vd837=Vd840|~rpoint(Vd840)))))|Vd843=Vd844)),
% 0.12/0.37 inference(miniscoping,[status(esa)],[f140])).
% 0.12/0.37 fof(f142,plain,(
% 0.12/0.37 ![X0,X1,X2,X3,X4,X5,X6]: (~vf(X0,X1)=vf(X0,X2)|~ron(X2,X3)|~ron(X1,X4)|~rcenter(X0,X3)|~rcenter(X0,X4)|~X2=X5|~rpoint(X5)|~X1=X6|~rpoint(X6)|X4=X3)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f141])).
% 0.12/0.37 fof(f640,plain,(
% 0.12/0.37 ![X0,X1,X2,X3,X4]: (~vf(X0,X1)=vf(X0,X2)|~ron(X2,X3)|~ron(X1,X4)|~rcenter(X0,X3)|~rcenter(X0,X4)|~rpoint(X2)|~rpoint(X1)|X4=X3)),
% 0.12/0.37 inference(destructive_equality_resolution,[status(esa)],[f142])).
% 0.12/0.37 fof(f894,plain,(
% 0.12/0.37 rpoint(vd1055)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f128,f129])).
% 0.12/0.37 fof(f948,plain,(
% 0.12/0.37 spl0_22 <=> rpoint(vd1055)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f950,plain,(
% 0.12/0.37 ~rpoint(vd1055)|spl0_22),
% 0.12/0.37 inference(component_clause,[status(thm)],[f948])).
% 0.12/0.37 fof(f963,plain,(
% 0.12/0.37 $false|spl0_22),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f950,f894])).
% 0.12/0.37 fof(f964,plain,(
% 0.12/0.37 spl0_22),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f963])).
% 0.12/0.37 fof(f1153,plain,(
% 0.12/0.37 spl0_57 <=> ~vf(X0,X1)=vf(X0,vd1055)|~ron(X1,X2)|~rcenter(X0,vd1063)|~rcenter(X0,X2)|~rpoint(X1)|X2=vd1063),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f1154,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~vf(X0,X1)=vf(X0,vd1055)|~ron(X1,X2)|~rcenter(X0,vd1063)|~rcenter(X0,X2)|~rpoint(X1)|X2=vd1063|~spl0_57)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f1153])).
% 0.12/0.37 fof(f1156,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~vf(X0,X1)=vf(X0,vd1055)|~ron(X1,X2)|~rcenter(X0,vd1063)|~rcenter(X0,X2)|~rpoint(vd1055)|~rpoint(X1)|X2=vd1063)),
% 0.12/0.37 inference(resolution,[status(thm)],[f640,f116])).
% 0.12/0.37 fof(f1157,plain,(
% 0.12/0.37 spl0_57|~spl0_22),
% 0.12/0.37 inference(split_clause,[status(thm)],[f1156,f1153,f948])).
% 0.12/0.37 fof(f1179,plain,(
% 0.12/0.37 spl0_63 <=> ~vf(X0,vd1055)=vf(X0,vd1055)|~rcenter(X0,vd1063)|~rcenter(X0,sk0_0)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f1180,plain,(
% 0.12/0.37 ![X0]: (~vf(X0,vd1055)=vf(X0,vd1055)|~rcenter(X0,vd1063)|~rcenter(X0,sk0_0)|~spl0_63)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f1179])).
% 0.12/0.37 fof(f1182,plain,(
% 0.12/0.37 spl0_64 <=> sk0_0=vd1063),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f1183,plain,(
% 0.12/0.37 sk0_0=vd1063|~spl0_64),
% 0.12/0.37 inference(component_clause,[status(thm)],[f1182])).
% 0.12/0.37 fof(f1185,plain,(
% 0.12/0.37 ![X0]: (~vf(X0,vd1055)=vf(X0,vd1055)|~rcenter(X0,vd1063)|~rcenter(X0,sk0_0)|~rpoint(vd1055)|sk0_0=vd1063|~spl0_57)),
% 0.12/0.37 inference(resolution,[status(thm)],[f1154,f112])).
% 0.12/0.37 fof(f1186,plain,(
% 0.12/0.37 spl0_63|~spl0_22|spl0_64|~spl0_57),
% 0.12/0.37 inference(split_clause,[status(thm)],[f1185,f1179,f948,f1182,f1153])).
% 0.12/0.37 fof(f1189,plain,(
% 0.12/0.37 ![X0]: (~rcenter(X0,vd1063)|~rcenter(X0,sk0_0)|~spl0_63)),
% 0.12/0.37 inference(trivial_equality_resolution,[status(esa)],[f1180])).
% 0.12/0.37 fof(f1228,plain,(
% 0.12/0.37 ~rcenter(vd1057,vd1063)|~spl0_63),
% 0.12/0.37 inference(resolution,[status(thm)],[f1189,f113])).
% 0.12/0.37 fof(f1229,plain,(
% 0.12/0.37 $false|~spl0_63),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f1228,f117])).
% 0.12/0.37 fof(f1230,plain,(
% 0.12/0.37 ~spl0_63),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f1229])).
% 0.12/0.37 fof(f1231,plain,(
% 0.12/0.37 $false|~spl0_64),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f1183,f115])).
% 0.12/0.37 fof(f1232,plain,(
% 0.12/0.37 ~spl0_64),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f1231])).
% 0.12/0.37 fof(f1233,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(sat_refutation,[status(thm)],[f964,f1157,f1186,f1230,f1232])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.38 % Elapsed time: 0.061073 seconds
% 0.12/0.38 % CPU time: 0.221396 seconds
% 0.12/0.38 % Memory used: 27.141 MB
%------------------------------------------------------------------------------