TSTP Solution File: GEO199+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO199+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:08:14 EDT 2023
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO199+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n004.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 11:55:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (! [X] : ~ convergent_lines(X,X) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,axiom,(
% 0.13/0.38 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f9,axiom,(
% 0.13/0.38 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),X) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f10,axiom,(
% 0.13/0.38 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),Y) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f11,axiom,(
% 0.13/0.38 (! [X,Y,U,V] :( ( distinct_points(X,Y)& distinct_lines(U,V) )=> ( apart_point_and_line(X,U)| apart_point_and_line(X,V)| apart_point_and_line(Y,U)| apart_point_and_line(Y,V) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f12,axiom,(
% 0.13/0.38 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_points(X,Z)| apart_point_and_line(Z,Y) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f14,axiom,(
% 0.13/0.38 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( distinct_lines(Y,Z)| convergent_lines(X,Z) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f15,conjecture,(
% 0.13/0.38 (! [X,Y,Z] :( ( convergent_lines(X,Y)& convergent_lines(Z,Y)& convergent_lines(X,Z)& ~ apart_point_and_line(intersection_point(X,Y),Z) )=> ~ apart_point_and_line(intersection_point(Y,X),Z) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f16,negated_conjecture,(
% 0.13/0.38 ~((! [X,Y,Z] :( ( convergent_lines(X,Y)& convergent_lines(Z,Y)& convergent_lines(X,Z)& ~ apart_point_and_line(intersection_point(X,Y),Z) )=> ~ apart_point_and_line(intersection_point(Y,X),Z) ) ))),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f15])).
% 0.13/0.38 fof(f19,plain,(
% 0.13/0.38 ![X0]: (~convergent_lines(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f26])).
% 0.13/0.38 fof(f28,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f27])).
% 0.13/0.38 fof(f33,plain,(
% 0.13/0.38 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.13/0.38 fof(f34,plain,(
% 0.13/0.38 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f33])).
% 0.13/0.38 fof(f35,plain,(
% 0.13/0.38 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.13/0.38 fof(f36,plain,(
% 0.13/0.38 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f35])).
% 0.13/0.38 fof(f37,plain,(
% 0.13/0.38 ![X,Y,U,V]: ((~distinct_points(X,Y)|~distinct_lines(U,V))|(((apart_point_and_line(X,U)|apart_point_and_line(X,V))|apart_point_and_line(Y,U))|apart_point_and_line(Y,V)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.13/0.38 fof(f38,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~distinct_points(X0,X1)|~distinct_lines(X2,X3)|apart_point_and_line(X0,X2)|apart_point_and_line(X0,X3)|apart_point_and_line(X1,X2)|apart_point_and_line(X1,X3))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f37])).
% 0.13/0.38 fof(f39,plain,(
% 0.13/0.38 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_points(X,Z)|apart_point_and_line(Z,Y))))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f39])).
% 0.13/0.38 fof(f41,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_points(X0,X2)|apart_point_and_line(X2,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f40])).
% 0.13/0.38 fof(f45,plain,(
% 0.13/0.38 ![X,Y,Z]: (~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.13/0.38 fof(f46,plain,(
% 0.13/0.38 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (distinct_lines(Y,Z)|convergent_lines(X,Z))))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f45])).
% 0.13/0.38 fof(f47,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~convergent_lines(X0,X1)|distinct_lines(X1,X2)|convergent_lines(X0,X2))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.38 fof(f48,plain,(
% 0.13/0.38 (?[X,Y,Z]: ((((convergent_lines(X,Y)&convergent_lines(Z,Y))&convergent_lines(X,Z))&~apart_point_and_line(intersection_point(X,Y),Z))&apart_point_and_line(intersection_point(Y,X),Z)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.13/0.38 fof(f49,plain,(
% 0.13/0.38 ((((convergent_lines(sk0_0,sk0_1)&convergent_lines(sk0_2,sk0_1))&convergent_lines(sk0_0,sk0_2))&~apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2))&apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_2))),
% 0.13/0.38 inference(skolemization,[status(esa)],[f48])).
% 0.13/0.38 fof(f50,plain,(
% 0.13/0.38 convergent_lines(sk0_0,sk0_1)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f49])).
% 0.13/0.38 fof(f53,plain,(
% 0.13/0.38 ~apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f49])).
% 0.13/0.38 fof(f54,plain,(
% 0.13/0.38 apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_2)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f49])).
% 0.13/0.38 fof(f57,plain,(
% 0.13/0.38 ![X0]: (convergent_lines(sk0_0,X0)|convergent_lines(sk0_1,X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f28,f50])).
% 0.13/0.38 fof(f63,plain,(
% 0.13/0.38 ![X0,X1]: (convergent_lines(sk0_0,X0)|convergent_lines(sk0_1,X1)|convergent_lines(X0,X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f57,f28])).
% 0.13/0.38 fof(f130,plain,(
% 0.13/0.38 convergent_lines(sk0_1,sk0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f63,f19])).
% 0.13/0.38 fof(f178,plain,(
% 0.13/0.38 ![X0]: (distinct_points(intersection_point(sk0_1,sk0_0),X0)|apart_point_and_line(X0,sk0_2))),
% 0.13/0.38 inference(resolution,[status(thm)],[f41,f54])).
% 0.13/0.38 fof(f214,plain,(
% 0.13/0.38 ![X0]: (distinct_lines(sk0_1,X0)|convergent_lines(sk0_0,X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f47,f50])).
% 0.13/0.38 fof(f246,plain,(
% 0.13/0.38 ![X0,X1,X2]: (apart_point_and_line(X0,sk0_2)|~distinct_lines(X1,X2)|apart_point_and_line(intersection_point(sk0_1,sk0_0),X1)|apart_point_and_line(intersection_point(sk0_1,sk0_0),X2)|apart_point_and_line(X0,X1)|apart_point_and_line(X0,X2))),
% 0.13/0.38 inference(resolution,[status(thm)],[f178,f38])).
% 0.13/0.38 fof(f523,plain,(
% 0.13/0.38 distinct_lines(sk0_1,sk0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f214,f19])).
% 0.13/0.38 fof(f692,plain,(
% 0.13/0.38 spl0_38 <=> apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,sk0_0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f693,plain,(
% 0.13/0.38 ![X0]: (apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,sk0_0)|~spl0_38)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f692])).
% 0.13/0.38 fof(f695,plain,(
% 0.13/0.38 spl0_39 <=> apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_1)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f696,plain,(
% 0.13/0.38 apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_1)|~spl0_39),
% 0.13/0.39 inference(component_clause,[status(thm)],[f695])).
% 0.13/0.39 fof(f698,plain,(
% 0.13/0.39 spl0_40 <=> apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_0)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f699,plain,(
% 0.13/0.39 apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_0)|~spl0_40),
% 0.13/0.39 inference(component_clause,[status(thm)],[f698])).
% 0.13/0.39 fof(f701,plain,(
% 0.13/0.39 ![X0]: (apart_point_and_line(X0,sk0_2)|apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_1)|apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_0)|apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,sk0_0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f246,f523])).
% 0.13/0.39 fof(f702,plain,(
% 0.13/0.39 spl0_38|spl0_39|spl0_40),
% 0.13/0.39 inference(split_clause,[status(thm)],[f701,f692,f695,f698])).
% 0.13/0.39 fof(f952,plain,(
% 0.13/0.39 ~convergent_lines(sk0_1,sk0_0)|~spl0_40),
% 0.13/0.39 inference(resolution,[status(thm)],[f699,f36])).
% 0.13/0.39 fof(f953,plain,(
% 0.13/0.39 $false|~spl0_40),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f952,f130])).
% 0.13/0.39 fof(f954,plain,(
% 0.13/0.39 ~spl0_40),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f953])).
% 0.13/0.39 fof(f956,plain,(
% 0.13/0.39 ~convergent_lines(sk0_1,sk0_0)|~spl0_39),
% 0.13/0.39 inference(resolution,[status(thm)],[f696,f34])).
% 0.13/0.39 fof(f957,plain,(
% 0.13/0.39 $false|~spl0_39),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f956,f130])).
% 0.13/0.39 fof(f958,plain,(
% 0.13/0.39 ~spl0_39),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f957])).
% 0.13/0.39 fof(f1092,plain,(
% 0.13/0.39 spl0_82 <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f1093,plain,(
% 0.13/0.39 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)|~spl0_82),
% 0.13/0.39 inference(component_clause,[status(thm)],[f1092])).
% 0.13/0.39 fof(f1095,plain,(
% 0.13/0.39 spl0_83 <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f1096,plain,(
% 0.13/0.39 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)|~spl0_83),
% 0.13/0.39 inference(component_clause,[status(thm)],[f1095])).
% 0.13/0.39 fof(f1098,plain,(
% 0.13/0.39 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)|apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)|~spl0_38),
% 0.13/0.39 inference(resolution,[status(thm)],[f693,f53])).
% 0.13/0.39 fof(f1099,plain,(
% 0.13/0.39 spl0_82|spl0_83|~spl0_38),
% 0.13/0.39 inference(split_clause,[status(thm)],[f1098,f1092,f1095,f692])).
% 0.13/0.39 fof(f1122,plain,(
% 0.13/0.39 ~convergent_lines(sk0_0,sk0_1)|~spl0_82),
% 0.13/0.39 inference(resolution,[status(thm)],[f1093,f36])).
% 0.13/0.39 fof(f1123,plain,(
% 0.13/0.39 $false|~spl0_82),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1122,f50])).
% 0.13/0.39 fof(f1124,plain,(
% 0.13/0.39 ~spl0_82),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1123])).
% 0.13/0.39 fof(f1127,plain,(
% 0.13/0.39 ~convergent_lines(sk0_0,sk0_1)|~spl0_83),
% 0.13/0.39 inference(resolution,[status(thm)],[f1096,f34])).
% 0.13/0.39 fof(f1128,plain,(
% 0.13/0.39 $false|~spl0_83),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1127,f50])).
% 0.13/0.39 fof(f1129,plain,(
% 0.13/0.39 ~spl0_83),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1128])).
% 0.13/0.39 fof(f1130,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f702,f954,f958,f1099,f1124,f1129])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.052797 seconds
% 0.13/0.40 % CPU time: 0.298184 seconds
% 0.13/0.40 % Memory used: 5.424 MB
%------------------------------------------------------------------------------