TSTP Solution File: GEO278+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO278+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:08:40 EDT 2023
% Result : Theorem 0.13s 0.32s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO278+1 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n009.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 12:00:01 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.13/0.32 % Refutation found
% 0.13/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.32 fof(f1,conjecture,(
% 0.13/0.32 (! [Vdthex] :( ( ron(vd1096,Vdthex)& rcenter(vd1089,Vdthex)& rcircle(Vdthex) )=> Vdthex = vd1102 ) )),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f2,negated_conjecture,(
% 0.13/0.32 ~((! [Vdthex] :( ( ron(vd1096,Vdthex)& rcenter(vd1089,Vdthex)& rcircle(Vdthex) )=> Vdthex = vd1102 ) ))),
% 0.13/0.32 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.32 fof(f3,axiom,(
% 0.13/0.32 ( ron(vd1096,vd1102)& rcenter(vd1089,vd1102)& rcircle(vd1102) ) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f8,axiom,(
% 0.13/0.32 rpoint(vd1096) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f41,axiom,(
% 0.13/0.32 (! [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 ) )),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f132,plain,(
% 0.13/0.32 (?[Vdthex]: (((ron(vd1096,Vdthex)&rcenter(vd1089,Vdthex))&rcircle(Vdthex))&~Vdthex=vd1102))),
% 0.13/0.32 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.32 fof(f133,plain,(
% 0.13/0.32 (((ron(vd1096,sk0_0)&rcenter(vd1089,sk0_0))&rcircle(sk0_0))&~sk0_0=vd1102)),
% 0.13/0.32 inference(skolemization,[status(esa)],[f132])).
% 0.13/0.32 fof(f134,plain,(
% 0.13/0.32 ron(vd1096,sk0_0)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f133])).
% 0.13/0.32 fof(f135,plain,(
% 0.13/0.32 rcenter(vd1089,sk0_0)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f133])).
% 0.13/0.32 fof(f137,plain,(
% 0.13/0.32 ~sk0_0=vd1102),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f133])).
% 0.13/0.32 fof(f138,plain,(
% 0.13/0.32 ron(vd1096,vd1102)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.32 fof(f139,plain,(
% 0.13/0.32 rcenter(vd1089,vd1102)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.32 fof(f148,plain,(
% 0.13/0.32 rpoint(vd1096)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.32 fof(f234,plain,(
% 0.13/0.32 ![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)),
% 0.13/0.33 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.13/0.33 fof(f235,plain,(
% 0.13/0.33 ![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)),
% 0.13/0.33 inference(miniscoping,[status(esa)],[f234])).
% 0.13/0.33 fof(f236,plain,(
% 0.13/0.33 ![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)),
% 0.13/0.33 inference(cnf_transformation,[status(esa)],[f235])).
% 0.13/0.33 fof(f720,plain,(
% 0.13/0.33 ![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)),
% 0.13/0.33 inference(destructive_equality_resolution,[status(esa)],[f236])).
% 0.13/0.33 fof(f932,plain,(
% 0.13/0.33 ![X0,X1,X2,X3]: (~ron(X0,X1)|~ron(X0,X2)|~rcenter(X3,X1)|~rcenter(X3,X2)|~rpoint(X0)|~rpoint(X0)|X2=X1)),
% 0.13/0.33 inference(equality_resolution,[status(esa)],[f720])).
% 0.13/0.33 fof(f933,plain,(
% 0.13/0.33 ![X0,X1,X2,X3]: (~ron(X0,X1)|~ron(X0,X2)|~rcenter(X3,X1)|~rcenter(X3,X2)|~rpoint(X0)|X2=X1)),
% 0.13/0.33 inference(duplicate_literals_removal,[status(esa)],[f932])).
% 0.13/0.33 fof(f972,plain,(
% 0.13/0.33 spl0_17 <=> rpoint(vd1096)),
% 0.13/0.33 introduced(split_symbol_definition)).
% 0.13/0.33 fof(f974,plain,(
% 0.13/0.33 ~rpoint(vd1096)|spl0_17),
% 0.13/0.33 inference(component_clause,[status(thm)],[f972])).
% 0.13/0.33 fof(f982,plain,(
% 0.13/0.33 $false|spl0_17),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f974,f148])).
% 0.13/0.33 fof(f983,plain,(
% 0.13/0.33 spl0_17),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f982])).
% 0.13/0.33 fof(f1039,plain,(
% 0.13/0.33 spl0_30 <=> ~ron(vd1096,X0)|~rcenter(X1,X0)|~rcenter(X1,vd1102)|vd1102=X0),
% 0.13/0.33 introduced(split_symbol_definition)).
% 0.13/0.33 fof(f1040,plain,(
% 0.13/0.33 ![X0,X1]: (~ron(vd1096,X0)|~rcenter(X1,X0)|~rcenter(X1,vd1102)|vd1102=X0|~spl0_30)),
% 0.13/0.33 inference(component_clause,[status(thm)],[f1039])).
% 0.13/0.36 fof(f1042,plain,(
% 0.13/0.36 ![X0,X1]: (~ron(vd1096,X0)|~rcenter(X1,X0)|~rcenter(X1,vd1102)|~rpoint(vd1096)|vd1102=X0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f933,f138])).
% 0.13/0.36 fof(f1043,plain,(
% 0.13/0.36 spl0_30|~spl0_17),
% 0.13/0.36 inference(split_clause,[status(thm)],[f1042,f1039,f972])).
% 0.13/0.36 fof(f1106,plain,(
% 0.13/0.36 spl0_43 <=> rcenter(vd1089,vd1102)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f1108,plain,(
% 0.13/0.36 ~rcenter(vd1089,vd1102)|spl0_43),
% 0.13/0.36 inference(component_clause,[status(thm)],[f1106])).
% 0.13/0.36 fof(f1111,plain,(
% 0.13/0.36 spl0_44 <=> ron(vd1096,sk0_0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f1113,plain,(
% 0.13/0.36 ~ron(vd1096,sk0_0)|spl0_44),
% 0.13/0.36 inference(component_clause,[status(thm)],[f1111])).
% 0.13/0.36 fof(f1114,plain,(
% 0.13/0.36 spl0_45 <=> vd1102=sk0_0),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f1115,plain,(
% 0.13/0.36 vd1102=sk0_0|~spl0_45),
% 0.13/0.36 inference(component_clause,[status(thm)],[f1114])).
% 0.13/0.36 fof(f1117,plain,(
% 0.13/0.36 ~ron(vd1096,sk0_0)|~rcenter(vd1089,vd1102)|vd1102=sk0_0|~spl0_30),
% 0.13/0.36 inference(resolution,[status(thm)],[f1040,f135])).
% 0.13/0.36 fof(f1118,plain,(
% 0.13/0.36 ~spl0_44|~spl0_43|spl0_45|~spl0_30),
% 0.13/0.36 inference(split_clause,[status(thm)],[f1117,f1111,f1106,f1114,f1039])).
% 0.13/0.36 fof(f1125,plain,(
% 0.13/0.36 $false|spl0_43),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f1108,f139])).
% 0.13/0.36 fof(f1126,plain,(
% 0.13/0.36 spl0_43),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f1125])).
% 0.13/0.36 fof(f1127,plain,(
% 0.13/0.36 $false|spl0_44),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f1113,f134])).
% 0.13/0.36 fof(f1128,plain,(
% 0.13/0.36 spl0_44),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f1127])).
% 0.13/0.36 fof(f1131,plain,(
% 0.13/0.36 $false|~spl0_45),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f1115,f137])).
% 0.13/0.36 fof(f1132,plain,(
% 0.13/0.36 ~spl0_45),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f1131])).
% 0.13/0.36 fof(f1133,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f983,f1043,f1118,f1126,f1128,f1132])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.36 % Elapsed time: 0.063720 seconds
% 0.13/0.36 % CPU time: 0.049018 seconds
% 0.13/0.36 % Memory used: 9.175 MB
%------------------------------------------------------------------------------