TSTP Solution File: GEO305+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO305+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:08:43 EDT 2023
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO305+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.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 : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 12:03:55 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.5.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,conjecture,(
% 0.13/0.39 ron(vd1302,vd1297) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,negated_conjecture,(
% 0.13/0.39 ~(ron(vd1302,vd1297) )),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.39 fof(f5,axiom,(
% 0.13/0.39 ( vd1302 = vd1303& rR(vd1289,vd1287,vd1302)& rpoint(vd1303)& rR(vd1288,vd1287,vd1299) ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,axiom,(
% 0.13/0.39 ron(vd1289,vd1297) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,axiom,(
% 0.13/0.39 ron(vd1287,vd1297) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,axiom,(
% 0.13/0.39 rline(vd1297) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f13,axiom,(
% 0.13/0.39 ( vf(vd1287,vd1288) = vf(vd1287,vd1289)& vd1288 != vd1289& vd1287 != vd1289& vd1287 != vd1288& (? [Vd1293] :( vd1289 = Vd1293& rpoint(Vd1293) ))& (? [Vd1292] :( vd1288 = Vd1292& rpoint(Vd1292) ))& (? [Vd1291] :( vd1287 = Vd1291& rpoint(Vd1291) ) )) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f14,axiom,(
% 0.13/0.39 (! [Vd352,Vd353,Vd354,Vd359,Vd360] :( ( Vd359 = Vd360& ron(Vd353,Vd359)& ron(Vd352,Vd359)& rR(Vd353,Vd352,Vd354)& rline(Vd360)& (? [Vd358] :( Vd354 = Vd358& rpoint(Vd358) ))& (? [Vd357] :( Vd353 = Vd357& rpoint(Vd357) ))& (? [Vd356] :( Vd352 = Vd356& rpoint(Vd356) ) ))=> ron(Vd354,Vd359) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f127,plain,(
% 0.13/0.39 ~ron(vd1302,vd1297)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.39 fof(f130,plain,(
% 0.13/0.39 vd1302=vd1303),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.39 fof(f131,plain,(
% 0.13/0.39 rR(vd1289,vd1287,vd1302)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.39 fof(f132,plain,(
% 0.13/0.39 rpoint(vd1303)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.39 fof(f135,plain,(
% 0.13/0.39 ron(vd1289,vd1297)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.39 fof(f136,plain,(
% 0.13/0.39 ron(vd1287,vd1297)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.39 fof(f137,plain,(
% 0.13/0.39 rline(vd1297)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f9])).
% 0.13/0.39 fof(f141,plain,(
% 0.13/0.39 (((((vf(vd1287,vd1288)=vf(vd1287,vd1289)&~vd1288=vd1289)&~vd1287=vd1289)&~vd1287=vd1288)&(vd1289=sk0_0&rpoint(sk0_0)))&(vd1288=sk0_1&rpoint(sk0_1)))&(vd1287=sk0_2&rpoint(sk0_2))),
% 0.13/0.39 inference(skolemization,[status(esa)],[f13])).
% 0.13/0.39 fof(f146,plain,(
% 0.13/0.39 vd1289=sk0_0),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f141])).
% 0.13/0.39 fof(f147,plain,(
% 0.13/0.39 rpoint(sk0_0)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f141])).
% 0.13/0.39 fof(f150,plain,(
% 0.13/0.39 vd1287=sk0_2),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f141])).
% 0.13/0.39 fof(f151,plain,(
% 0.13/0.39 rpoint(sk0_2)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f141])).
% 0.13/0.39 fof(f152,plain,(
% 0.13/0.39 ![Vd352,Vd353,Vd354,Vd359,Vd360]: ((((((((~Vd359=Vd360|~ron(Vd353,Vd359))|~ron(Vd352,Vd359))|~rR(Vd353,Vd352,Vd354))|~rline(Vd360))|(![Vd358]: (~Vd354=Vd358|~rpoint(Vd358))))|(![Vd357]: (~Vd353=Vd357|~rpoint(Vd357))))|(![Vd356]: (~Vd352=Vd356|~rpoint(Vd356))))|ron(Vd354,Vd359))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.13/0.39 fof(f153,plain,(
% 0.13/0.39 ![Vd354,Vd359]: ((![Vd352]: ((![Vd353]: (((![Vd360]: ((((~Vd359=Vd360|~ron(Vd353,Vd359))|~ron(Vd352,Vd359))|~rR(Vd353,Vd352,Vd354))|~rline(Vd360)))|(![Vd358]: (~Vd354=Vd358|~rpoint(Vd358))))|(![Vd357]: (~Vd353=Vd357|~rpoint(Vd357)))))|(![Vd356]: (~Vd352=Vd356|~rpoint(Vd356)))))|ron(Vd354,Vd359))),
% 0.13/0.39 inference(miniscoping,[status(esa)],[f152])).
% 0.13/0.39 fof(f154,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~X0=X1|~ron(X2,X0)|~ron(X3,X0)|~rR(X2,X3,X4)|~rline(X1)|~X4=X5|~rpoint(X5)|~X2=X6|~rpoint(X6)|~X3=X7|~rpoint(X7)|ron(X4,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f153])).
% 0.13/0.39 fof(f692,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (~ron(X0,X1)|~ron(X2,X1)|~rR(X0,X2,X3)|~rline(X1)|~rpoint(X3)|~rpoint(X0)|~rpoint(X2)|ron(X3,X1))),
% 0.13/0.39 inference(destructive_equality_resolution,[status(esa)],[f154])).
% 0.13/0.39 fof(f923,plain,(
% 0.13/0.39 rpoint(vd1302)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f130,f132])).
% 0.13/0.39 fof(f925,plain,(
% 0.13/0.39 rpoint(vd1289)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f146,f147])).
% 0.37/0.61 fof(f927,plain,(
% 0.37/0.61 rpoint(vd1287)),
% 0.37/0.61 inference(forward_demodulation,[status(thm)],[f150,f151])).
% 0.37/0.61 fof(f938,plain,(
% 0.37/0.61 spl0_11 <=> rpoint(vd1287)),
% 0.37/0.61 introduced(split_symbol_definition)).
% 0.37/0.61 fof(f940,plain,(
% 0.37/0.61 ~rpoint(vd1287)|spl0_11),
% 0.37/0.61 inference(component_clause,[status(thm)],[f938])).
% 0.37/0.61 fof(f943,plain,(
% 0.37/0.61 spl0_12 <=> ~ron(vd1289,X0)|~ron(vd1287,X0)|~rline(X0)|ron(vd1302,X0)),
% 0.37/0.61 introduced(split_symbol_definition)).
% 0.37/0.61 fof(f944,plain,(
% 0.37/0.61 ![X0]: (~ron(vd1289,X0)|~ron(vd1287,X0)|~rline(X0)|ron(vd1302,X0)|~spl0_12)),
% 0.37/0.61 inference(component_clause,[status(thm)],[f943])).
% 0.37/0.61 fof(f946,plain,(
% 0.37/0.61 spl0_13 <=> rpoint(vd1302)),
% 0.37/0.61 introduced(split_symbol_definition)).
% 0.37/0.61 fof(f948,plain,(
% 0.37/0.61 ~rpoint(vd1302)|spl0_13),
% 0.37/0.61 inference(component_clause,[status(thm)],[f946])).
% 0.37/0.61 fof(f949,plain,(
% 0.37/0.61 spl0_14 <=> rpoint(vd1289)),
% 0.37/0.61 introduced(split_symbol_definition)).
% 0.37/0.61 fof(f951,plain,(
% 0.37/0.61 ~rpoint(vd1289)|spl0_14),
% 0.37/0.61 inference(component_clause,[status(thm)],[f949])).
% 0.37/0.61 fof(f952,plain,(
% 0.37/0.61 ![X0]: (~ron(vd1289,X0)|~ron(vd1287,X0)|~rline(X0)|~rpoint(vd1302)|~rpoint(vd1289)|~rpoint(vd1287)|ron(vd1302,X0))),
% 0.37/0.61 inference(resolution,[status(thm)],[f692,f131])).
% 0.37/0.61 fof(f953,plain,(
% 0.37/0.61 spl0_12|~spl0_13|~spl0_14|~spl0_11),
% 0.37/0.61 inference(split_clause,[status(thm)],[f952,f943,f946,f949,f938])).
% 0.37/0.61 fof(f954,plain,(
% 0.37/0.61 $false|spl0_14),
% 0.37/0.61 inference(forward_subsumption_resolution,[status(thm)],[f951,f925])).
% 0.37/0.61 fof(f955,plain,(
% 0.37/0.61 spl0_14),
% 0.37/0.61 inference(contradiction_clause,[status(thm)],[f954])).
% 0.37/0.61 fof(f956,plain,(
% 0.37/0.61 $false|spl0_13),
% 0.37/0.61 inference(forward_subsumption_resolution,[status(thm)],[f948,f923])).
% 0.37/0.61 fof(f957,plain,(
% 0.37/0.61 spl0_13),
% 0.37/0.61 inference(contradiction_clause,[status(thm)],[f956])).
% 0.37/0.61 fof(f958,plain,(
% 0.37/0.61 $false|spl0_11),
% 0.37/0.61 inference(forward_subsumption_resolution,[status(thm)],[f940,f927])).
% 0.37/0.61 fof(f959,plain,(
% 0.37/0.61 spl0_11),
% 0.37/0.61 inference(contradiction_clause,[status(thm)],[f958])).
% 0.37/0.61 fof(f975,plain,(
% 0.37/0.61 spl0_18 <=> ron(vd1289,vd1297)),
% 0.37/0.61 introduced(split_symbol_definition)).
% 0.37/0.61 fof(f977,plain,(
% 0.37/0.61 ~ron(vd1289,vd1297)|spl0_18),
% 0.37/0.61 inference(component_clause,[status(thm)],[f975])).
% 0.37/0.61 fof(f978,plain,(
% 0.37/0.61 spl0_19 <=> rline(vd1297)),
% 0.37/0.61 introduced(split_symbol_definition)).
% 0.37/0.61 fof(f980,plain,(
% 0.37/0.61 ~rline(vd1297)|spl0_19),
% 0.37/0.61 inference(component_clause,[status(thm)],[f978])).
% 0.37/0.61 fof(f981,plain,(
% 0.37/0.61 spl0_20 <=> ron(vd1302,vd1297)),
% 0.37/0.61 introduced(split_symbol_definition)).
% 0.37/0.61 fof(f982,plain,(
% 0.37/0.61 ron(vd1302,vd1297)|~spl0_20),
% 0.37/0.61 inference(component_clause,[status(thm)],[f981])).
% 0.37/0.61 fof(f984,plain,(
% 0.37/0.61 ~ron(vd1289,vd1297)|~rline(vd1297)|ron(vd1302,vd1297)|~spl0_12),
% 0.37/0.61 inference(resolution,[status(thm)],[f944,f136])).
% 0.37/0.61 fof(f985,plain,(
% 0.37/0.61 ~spl0_18|~spl0_19|spl0_20|~spl0_12),
% 0.37/0.61 inference(split_clause,[status(thm)],[f984,f975,f978,f981,f943])).
% 0.37/0.61 fof(f986,plain,(
% 0.37/0.61 $false|spl0_19),
% 0.37/0.61 inference(forward_subsumption_resolution,[status(thm)],[f980,f137])).
% 0.37/0.61 fof(f987,plain,(
% 0.37/0.61 spl0_19),
% 0.37/0.61 inference(contradiction_clause,[status(thm)],[f986])).
% 0.37/0.61 fof(f988,plain,(
% 0.37/0.61 $false|spl0_18),
% 0.37/0.61 inference(forward_subsumption_resolution,[status(thm)],[f977,f135])).
% 0.37/0.61 fof(f989,plain,(
% 0.37/0.61 spl0_18),
% 0.37/0.61 inference(contradiction_clause,[status(thm)],[f988])).
% 0.37/0.61 fof(f992,plain,(
% 0.37/0.61 $false|~spl0_20),
% 0.37/0.61 inference(forward_subsumption_resolution,[status(thm)],[f982,f127])).
% 0.37/0.61 fof(f993,plain,(
% 0.37/0.61 ~spl0_20),
% 0.37/0.61 inference(contradiction_clause,[status(thm)],[f992])).
% 0.37/0.61 fof(f994,plain,(
% 0.37/0.61 $false),
% 0.37/0.61 inference(sat_refutation,[status(thm)],[f953,f955,f957,f959,f985,f987,f989,f993])).
% 0.37/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.37/0.61 % Elapsed time: 0.051281 seconds
% 0.37/0.61 % CPU time: 0.116111 seconds
% 0.37/0.61 % Memory used: 18.446 MB
%------------------------------------------------------------------------------