TSTP Solution File: GEO275+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n007.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 0.14s 0.33s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : GEO275+1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n007.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 11:50:02 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 0.14/0.33 % Refutation found
% 0.14/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.33 fof(f1,conjecture,(
% 0.14/0.33 (! [Vdthex] :( ( ron(vd1081,Vdthex)& rcenter(vd1080,Vdthex)& rcircle(Vdthex) )=> Vdthex = vd1095 ) )),
% 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f2,negated_conjecture,(
% 0.14/0.33 ~((! [Vdthex] :( ( ron(vd1081,Vdthex)& rcenter(vd1080,Vdthex)& rcircle(Vdthex) )=> Vdthex = vd1095 ) ))),
% 0.14/0.33 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.33 fof(f3,axiom,(
% 0.14/0.33 ( ron(vd1081,vd1095)& rcenter(vd1080,vd1095)& rcircle(vd1095) ) ),
% 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f8,axiom,(
% 0.14/0.33 (? [Vd1084] :( vd1081 = Vd1084& rpoint(Vd1084) ) )),
% 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f107,axiom,(
% 0.14/0.33 (! [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 ) )),
% 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f122,plain,(
% 0.14/0.33 (?[Vdthex]: (((ron(vd1081,Vdthex)&rcenter(vd1080,Vdthex))&rcircle(Vdthex))&~Vdthex=vd1095))),
% 0.14/0.33 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.14/0.33 fof(f123,plain,(
% 0.14/0.33 (((ron(vd1081,sk0_0)&rcenter(vd1080,sk0_0))&rcircle(sk0_0))&~sk0_0=vd1095)),
% 0.14/0.33 inference(skolemization,[status(esa)],[f122])).
% 0.14/0.33 fof(f124,plain,(
% 0.14/0.33 ron(vd1081,sk0_0)),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f123])).
% 0.14/0.33 fof(f125,plain,(
% 0.14/0.33 rcenter(vd1080,sk0_0)),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f123])).
% 0.14/0.33 fof(f127,plain,(
% 0.14/0.33 ~sk0_0=vd1095),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f123])).
% 0.14/0.33 fof(f128,plain,(
% 0.14/0.33 ron(vd1081,vd1095)),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.33 fof(f129,plain,(
% 0.14/0.33 rcenter(vd1080,vd1095)),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.33 fof(f138,plain,(
% 0.14/0.33 (vd1081=sk0_1&rpoint(sk0_1))),
% 0.14/0.33 inference(skolemization,[status(esa)],[f8])).
% 0.14/0.33 fof(f139,plain,(
% 0.14/0.33 vd1081=sk0_1),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f138])).
% 0.14/0.33 fof(f140,plain,(
% 0.14/0.33 rpoint(sk0_1)),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f138])).
% 0.14/0.33 fof(f558,plain,(
% 0.14/0.33 ![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)),
% 0.14/0.33 inference(pre_NNF_transformation,[status(esa)],[f107])).
% 0.14/0.33 fof(f559,plain,(
% 0.14/0.33 ![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)),
% 0.14/0.33 inference(miniscoping,[status(esa)],[f558])).
% 0.14/0.33 fof(f560,plain,(
% 0.14/0.33 ![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)),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f559])).
% 0.14/0.33 fof(f849,plain,(
% 0.14/0.33 ![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)),
% 0.14/0.33 inference(destructive_equality_resolution,[status(esa)],[f560])).
% 0.14/0.33 fof(f920,plain,(
% 0.14/0.33 spl0_16 <=> ron(vd1081,vd1095)),
% 0.14/0.33 introduced(split_symbol_definition)).
% 0.14/0.33 fof(f922,plain,(
% 0.14/0.33 ~ron(vd1081,vd1095)|spl0_16),
% 0.14/0.33 inference(component_clause,[status(thm)],[f920])).
% 0.14/0.33 fof(f923,plain,(
% 0.14/0.33 spl0_17 <=> rpoint(vd1081)),
% 0.14/0.33 introduced(split_symbol_definition)).
% 0.14/0.33 fof(f925,plain,(
% 0.14/0.33 ~rpoint(vd1081)|spl0_17),
% 0.14/0.33 inference(component_clause,[status(thm)],[f923])).
% 0.14/0.33 fof(f967,plain,(
% 0.14/0.33 ![X0,X1,X2,X3]: (~ron(X0,X1)|~ron(X0,X2)|~rcenter(X3,X1)|~rcenter(X3,X2)|~rpoint(X0)|~rpoint(X0)|X2=X1)),
% 0.14/0.33 inference(equality_resolution,[status(esa)],[f849])).
% 0.14/0.33 fof(f968,plain,(
% 0.14/0.33 ![X0,X1,X2,X3]: (~ron(X0,X1)|~ron(X0,X2)|~rcenter(X3,X1)|~rcenter(X3,X2)|~rpoint(X0)|X2=X1)),
% 0.14/0.33 inference(duplicate_literals_removal,[status(esa)],[f967])).
% 0.14/0.33 fof(f970,plain,(
% 0.14/0.33 rpoint(vd1081)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f139,f140])).
% 0.14/0.39 fof(f1052,plain,(
% 0.14/0.39 $false|spl0_17),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f925,f970])).
% 0.14/0.39 fof(f1053,plain,(
% 0.14/0.39 spl0_17),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f1052])).
% 0.14/0.39 fof(f1057,plain,(
% 0.14/0.39 spl0_37 <=> ~ron(X0,sk0_0)|~rpoint(X0)|~ron(X0,vd1095)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1058,plain,(
% 0.14/0.39 ![X0]: (~ron(X0,sk0_0)|~rpoint(X0)|~ron(X0,vd1095)|~spl0_37)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f1057])).
% 0.14/0.39 fof(f1075,plain,(
% 0.14/0.39 ~rpoint(vd1081)|~ron(vd1081,vd1095)|~spl0_37),
% 0.14/0.39 inference(resolution,[status(thm)],[f1058,f124])).
% 0.14/0.39 fof(f1076,plain,(
% 0.14/0.39 ~spl0_17|~spl0_16|~spl0_37),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1075,f923,f920,f1057])).
% 0.14/0.39 fof(f1077,plain,(
% 0.14/0.39 $false|spl0_16),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f922,f128])).
% 0.14/0.39 fof(f1078,plain,(
% 0.14/0.39 spl0_16),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f1077])).
% 0.14/0.39 fof(f1354,plain,(
% 0.14/0.39 ![X0,X1]: (~ron(X0,vd1095)|~ron(X0,X1)|~rcenter(vd1080,X1)|~rpoint(X0)|X1=vd1095)),
% 0.14/0.39 inference(resolution,[status(thm)],[f968,f129])).
% 0.14/0.39 fof(f1367,plain,(
% 0.14/0.39 spl0_78 <=> sk0_0=vd1095),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1368,plain,(
% 0.14/0.39 sk0_0=vd1095|~spl0_78),
% 0.14/0.39 inference(component_clause,[status(thm)],[f1367])).
% 0.14/0.39 fof(f1370,plain,(
% 0.14/0.39 ![X0]: (~ron(X0,vd1095)|~ron(X0,sk0_0)|~rpoint(X0)|sk0_0=vd1095)),
% 0.14/0.39 inference(resolution,[status(thm)],[f1354,f125])).
% 0.14/0.39 fof(f1371,plain,(
% 0.14/0.39 spl0_37|spl0_78),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1370,f1057,f1367])).
% 0.14/0.39 fof(f1377,plain,(
% 0.14/0.39 $false|~spl0_78),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1368,f127])).
% 0.14/0.39 fof(f1378,plain,(
% 0.14/0.39 ~spl0_78),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f1377])).
% 0.14/0.39 fof(f1379,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f1053,f1076,f1078,f1371,f1378])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 % Elapsed time: 0.093214 seconds
% 0.14/0.39 % CPU time: 0.054733 seconds
% 0.14/0.39 % Memory used: 6.998 MB
%------------------------------------------------------------------------------