TSTP Solution File: GEO275+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO275+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 : Tue Apr 30 20:17:50 EDT 2024
% Result : Theorem 0.10s 0.38s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GEO275+1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n003.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 01:42:48 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38 fof(f1,conjecture,(
% 0.10/0.38 (! [Vdthex] :( ( ron(vd1081,Vdthex)& rcenter(vd1080,Vdthex)& rcircle(Vdthex) )=> Vdthex = vd1095 ) )),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f2,negated_conjecture,(
% 0.10/0.38 ~((! [Vdthex] :( ( ron(vd1081,Vdthex)& rcenter(vd1080,Vdthex)& rcircle(Vdthex) )=> Vdthex = vd1095 ) ))),
% 0.10/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.38 fof(f3,axiom,(
% 0.10/0.38 ( ron(vd1081,vd1095)& rcenter(vd1080,vd1095)& rcircle(vd1095) ) ),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f8,axiom,(
% 0.10/0.38 (? [Vd1084] :( vd1081 = Vd1084& rpoint(Vd1084) ) )),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f107,axiom,(
% 0.10/0.38 (! [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 ) )),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f122,plain,(
% 0.10/0.38 (?[Vdthex]: (((ron(vd1081,Vdthex)&rcenter(vd1080,Vdthex))&rcircle(Vdthex))&~Vdthex=vd1095))),
% 0.10/0.38 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.10/0.38 fof(f123,plain,(
% 0.10/0.38 (((ron(vd1081,sk0_0)&rcenter(vd1080,sk0_0))&rcircle(sk0_0))&~sk0_0=vd1095)),
% 0.10/0.38 inference(skolemization,[status(esa)],[f122])).
% 0.10/0.38 fof(f124,plain,(
% 0.10/0.38 ron(vd1081,sk0_0)),
% 0.10/0.38 inference(cnf_transformation,[status(esa)],[f123])).
% 0.10/0.38 fof(f125,plain,(
% 0.10/0.38 rcenter(vd1080,sk0_0)),
% 0.10/0.38 inference(cnf_transformation,[status(esa)],[f123])).
% 0.10/0.38 fof(f127,plain,(
% 0.10/0.38 ~sk0_0=vd1095),
% 0.10/0.38 inference(cnf_transformation,[status(esa)],[f123])).
% 0.10/0.38 fof(f128,plain,(
% 0.10/0.38 ron(vd1081,vd1095)),
% 0.10/0.38 inference(cnf_transformation,[status(esa)],[f3])).
% 0.10/0.38 fof(f129,plain,(
% 0.10/0.38 rcenter(vd1080,vd1095)),
% 0.10/0.38 inference(cnf_transformation,[status(esa)],[f3])).
% 0.10/0.38 fof(f138,plain,(
% 0.10/0.38 (vd1081=sk0_1&rpoint(sk0_1))),
% 0.10/0.38 inference(skolemization,[status(esa)],[f8])).
% 0.10/0.38 fof(f139,plain,(
% 0.10/0.38 vd1081=sk0_1),
% 0.10/0.38 inference(cnf_transformation,[status(esa)],[f138])).
% 0.10/0.38 fof(f140,plain,(
% 0.10/0.38 rpoint(sk0_1)),
% 0.10/0.38 inference(cnf_transformation,[status(esa)],[f138])).
% 0.10/0.38 fof(f558,plain,(
% 0.10/0.38 ![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)),
% 0.10/0.38 inference(pre_NNF_transformation,[status(esa)],[f107])).
% 0.10/0.38 fof(f559,plain,(
% 0.10/0.38 ![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)),
% 0.10/0.38 inference(miniscoping,[status(esa)],[f558])).
% 0.10/0.38 fof(f560,plain,(
% 0.10/0.38 ![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)),
% 0.10/0.38 inference(cnf_transformation,[status(esa)],[f559])).
% 0.10/0.38 fof(f849,plain,(
% 0.10/0.38 ![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)),
% 0.10/0.38 inference(destructive_equality_resolution,[status(esa)],[f560])).
% 0.10/0.38 fof(f898,plain,(
% 0.10/0.38 spl0_12 <=> rpoint(vd1081)),
% 0.10/0.38 introduced(split_symbol_definition)).
% 0.10/0.38 fof(f900,plain,(
% 0.10/0.38 ~rpoint(vd1081)|spl0_12),
% 0.10/0.38 inference(component_clause,[status(thm)],[f898])).
% 0.10/0.38 fof(f926,plain,(
% 0.10/0.38 spl0_18 <=> ~vf(X0,X1)=vf(X0,vd1081)|~ron(X1,X2)|~rcenter(X0,sk0_0)|~rcenter(X0,X2)|~rpoint(X1)|X2=sk0_0),
% 0.10/0.38 introduced(split_symbol_definition)).
% 0.10/0.38 fof(f927,plain,(
% 0.10/0.38 ![X0,X1,X2]: (~vf(X0,X1)=vf(X0,vd1081)|~ron(X1,X2)|~rcenter(X0,sk0_0)|~rcenter(X0,X2)|~rpoint(X1)|X2=sk0_0|~spl0_18)),
% 0.10/0.38 inference(component_clause,[status(thm)],[f926])).
% 0.10/0.38 fof(f929,plain,(
% 0.10/0.38 ![X0,X1,X2]: (~vf(X0,X1)=vf(X0,vd1081)|~ron(X1,X2)|~rcenter(X0,sk0_0)|~rcenter(X0,X2)|~rpoint(vd1081)|~rpoint(X1)|X2=sk0_0)),
% 0.10/0.38 inference(resolution,[status(thm)],[f849,f124])).
% 0.10/0.38 fof(f930,plain,(
% 0.10/0.38 spl0_18|~spl0_12),
% 0.15/0.38 inference(split_clause,[status(thm)],[f929,f926,f898])).
% 0.15/0.38 fof(f948,plain,(
% 0.15/0.38 rpoint(vd1081)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f139,f140])).
% 0.15/0.38 fof(f1030,plain,(
% 0.15/0.38 $false|spl0_12),
% 0.15/0.38 inference(forward_subsumption_resolution,[status(thm)],[f900,f948])).
% 0.15/0.38 fof(f1031,plain,(
% 0.15/0.38 spl0_12),
% 0.15/0.38 inference(contradiction_clause,[status(thm)],[f1030])).
% 0.15/0.38 fof(f1410,plain,(
% 0.15/0.38 spl0_87 <=> ~vf(X0,vd1081)=vf(X0,vd1081)|~rcenter(X0,sk0_0)|~rcenter(X0,vd1095)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f1411,plain,(
% 0.15/0.38 ![X0]: (~vf(X0,vd1081)=vf(X0,vd1081)|~rcenter(X0,sk0_0)|~rcenter(X0,vd1095)|~spl0_87)),
% 0.15/0.38 inference(component_clause,[status(thm)],[f1410])).
% 0.15/0.38 fof(f1413,plain,(
% 0.15/0.38 spl0_88 <=> vd1095=sk0_0),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f1414,plain,(
% 0.15/0.38 vd1095=sk0_0|~spl0_88),
% 0.15/0.38 inference(component_clause,[status(thm)],[f1413])).
% 0.15/0.38 fof(f1416,plain,(
% 0.15/0.38 ![X0]: (~vf(X0,vd1081)=vf(X0,vd1081)|~rcenter(X0,sk0_0)|~rcenter(X0,vd1095)|~rpoint(vd1081)|vd1095=sk0_0|~spl0_18)),
% 0.15/0.38 inference(resolution,[status(thm)],[f927,f128])).
% 0.15/0.38 fof(f1417,plain,(
% 0.15/0.38 spl0_87|~spl0_12|spl0_88|~spl0_18),
% 0.15/0.38 inference(split_clause,[status(thm)],[f1416,f1410,f898,f1413,f926])).
% 0.15/0.38 fof(f1420,plain,(
% 0.15/0.38 ![X0]: (~rcenter(X0,sk0_0)|~rcenter(X0,vd1095)|~spl0_87)),
% 0.15/0.38 inference(trivial_equality_resolution,[status(esa)],[f1411])).
% 0.15/0.38 fof(f1558,plain,(
% 0.15/0.38 ~rcenter(vd1080,vd1095)|~spl0_87),
% 0.15/0.38 inference(resolution,[status(thm)],[f125,f1420])).
% 0.15/0.38 fof(f1559,plain,(
% 0.15/0.38 $false|~spl0_87),
% 0.15/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1558,f129])).
% 0.15/0.38 fof(f1560,plain,(
% 0.15/0.38 ~spl0_87),
% 0.15/0.38 inference(contradiction_clause,[status(thm)],[f1559])).
% 0.15/0.38 fof(f1564,plain,(
% 0.15/0.38 $false|~spl0_88),
% 0.15/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1414,f127])).
% 0.15/0.38 fof(f1565,plain,(
% 0.15/0.38 ~spl0_88),
% 0.15/0.38 inference(contradiction_clause,[status(thm)],[f1564])).
% 0.15/0.38 fof(f1566,plain,(
% 0.15/0.38 $false),
% 0.15/0.38 inference(sat_refutation,[status(thm)],[f930,f1031,f1417,f1560,f1565])).
% 0.15/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.39 % Elapsed time: 0.075236 seconds
% 0.15/0.39 % CPU time: 0.352872 seconds
% 0.15/0.39 % Total memory used: 74.765 MB
% 0.15/0.39 % Net memory used: 74.141 MB
%------------------------------------------------------------------------------