TSTP Solution File: GEO198+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO198+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:17:27 EDT 2024
% Result : Theorem 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO198+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n012.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue Apr 30 01:33:26 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.35 % Drodi V3.6.0
% 0.19/0.45 % Refutation found
% 0.19/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.45 fof(f3,axiom,(
% 0.19/0.45 (! [X] : ~ convergent_lines(X,X) )),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f9,axiom,(
% 0.19/0.45 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),X) ) )),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f10,axiom,(
% 0.19/0.45 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),Y) ) )),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f11,axiom,(
% 0.19/0.45 (! [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) ) ) )),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f12,axiom,(
% 0.19/0.45 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_points(X,Z)| apart_point_and_line(Z,Y) ) ) )),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f14,axiom,(
% 0.19/0.45 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( distinct_lines(Y,Z)| convergent_lines(X,Z) ) ) )),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f15,conjecture,(
% 0.19/0.45 (! [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(X,Z),Y) ) )),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f16,negated_conjecture,(
% 0.19/0.45 ~((! [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(X,Z),Y) ) ))),
% 0.19/0.45 inference(negated_conjecture,[status(cth)],[f15])).
% 0.19/0.45 fof(f19,plain,(
% 0.19/0.45 ![X0]: (~convergent_lines(X0,X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.45 fof(f33,plain,(
% 0.19/0.45 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.19/0.45 fof(f34,plain,(
% 0.19/0.45 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f33])).
% 0.19/0.45 fof(f35,plain,(
% 0.19/0.45 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.19/0.45 fof(f36,plain,(
% 0.19/0.45 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f35])).
% 0.19/0.45 fof(f37,plain,(
% 0.19/0.45 ![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)))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.19/0.45 fof(f38,plain,(
% 0.19/0.45 ![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))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f37])).
% 0.19/0.45 fof(f39,plain,(
% 0.19/0.45 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.19/0.45 fof(f40,plain,(
% 0.19/0.45 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_points(X,Z)|apart_point_and_line(Z,Y))))),
% 0.19/0.45 inference(miniscoping,[status(esa)],[f39])).
% 0.19/0.45 fof(f41,plain,(
% 0.19/0.45 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_points(X0,X2)|apart_point_and_line(X2,X1))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f40])).
% 0.19/0.45 fof(f45,plain,(
% 0.19/0.45 ![X,Y,Z]: (~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.19/0.45 fof(f46,plain,(
% 0.19/0.45 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (distinct_lines(Y,Z)|convergent_lines(X,Z))))),
% 0.19/0.45 inference(miniscoping,[status(esa)],[f45])).
% 0.19/0.45 fof(f47,plain,(
% 0.19/0.45 ![X0,X1,X2]: (~convergent_lines(X0,X1)|distinct_lines(X1,X2)|convergent_lines(X0,X2))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f46])).
% 0.19/0.45 fof(f48,plain,(
% 0.19/0.45 (?[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(X,Z),Y)))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.19/0.46 fof(f49,plain,(
% 0.19/0.46 ((((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_0,sk0_2),sk0_1))),
% 0.19/0.46 inference(skolemization,[status(esa)],[f48])).
% 0.19/0.46 fof(f50,plain,(
% 0.19/0.46 convergent_lines(sk0_0,sk0_1)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f49])).
% 0.19/0.46 fof(f52,plain,(
% 0.19/0.46 convergent_lines(sk0_0,sk0_2)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f49])).
% 0.19/0.46 fof(f53,plain,(
% 0.19/0.46 ~apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f49])).
% 0.19/0.46 fof(f54,plain,(
% 0.19/0.46 apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_1)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f49])).
% 0.19/0.46 fof(f159,plain,(
% 0.19/0.46 ![X0]: (distinct_points(intersection_point(sk0_0,sk0_2),X0)|apart_point_and_line(X0,sk0_1))),
% 0.19/0.46 inference(resolution,[status(thm)],[f41,f54])).
% 0.19/0.46 fof(f190,plain,(
% 0.19/0.46 ![X0]: (distinct_lines(sk0_2,X0)|convergent_lines(sk0_0,X0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f47,f52])).
% 0.19/0.46 fof(f215,plain,(
% 0.19/0.46 ![X0,X1,X2]: (apart_point_and_line(X0,sk0_1)|~distinct_lines(X1,X2)|apart_point_and_line(intersection_point(sk0_0,sk0_2),X1)|apart_point_and_line(intersection_point(sk0_0,sk0_2),X2)|apart_point_and_line(X0,X1)|apart_point_and_line(X0,X2))),
% 0.19/0.46 inference(resolution,[status(thm)],[f159,f38])).
% 0.19/0.46 fof(f501,plain,(
% 0.19/0.46 distinct_lines(sk0_2,sk0_0)),
% 0.19/0.46 inference(resolution,[status(thm)],[f190,f19])).
% 0.19/0.46 fof(f722,plain,(
% 0.19/0.46 spl0_39 <=> apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,sk0_0)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f723,plain,(
% 0.19/0.46 ![X0]: (apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,sk0_0)|~spl0_39)),
% 0.19/0.46 inference(component_clause,[status(thm)],[f722])).
% 0.19/0.46 fof(f725,plain,(
% 0.19/0.46 spl0_40 <=> apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_2)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f726,plain,(
% 0.19/0.46 apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_2)|~spl0_40),
% 0.19/0.46 inference(component_clause,[status(thm)],[f725])).
% 0.19/0.46 fof(f728,plain,(
% 0.19/0.46 spl0_41 <=> apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_0)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f729,plain,(
% 0.19/0.46 apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_0)|~spl0_41),
% 0.19/0.46 inference(component_clause,[status(thm)],[f728])).
% 0.19/0.46 fof(f731,plain,(
% 0.19/0.46 ![X0]: (apart_point_and_line(X0,sk0_1)|apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_2)|apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_0)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,sk0_0))),
% 0.19/0.46 inference(resolution,[status(thm)],[f215,f501])).
% 0.19/0.46 fof(f732,plain,(
% 0.19/0.46 spl0_39|spl0_40|spl0_41),
% 0.19/0.46 inference(split_clause,[status(thm)],[f731,f722,f725,f728])).
% 0.19/0.46 fof(f1022,plain,(
% 0.19/0.46 ~convergent_lines(sk0_0,sk0_2)|~spl0_41),
% 0.19/0.46 inference(resolution,[status(thm)],[f729,f34])).
% 0.19/0.46 fof(f1023,plain,(
% 0.19/0.46 $false|~spl0_41),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1022,f52])).
% 0.19/0.46 fof(f1024,plain,(
% 0.19/0.46 ~spl0_41),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f1023])).
% 0.19/0.46 fof(f1026,plain,(
% 0.19/0.46 ~convergent_lines(sk0_0,sk0_2)|~spl0_40),
% 0.19/0.46 inference(resolution,[status(thm)],[f726,f36])).
% 0.19/0.46 fof(f1027,plain,(
% 0.19/0.46 $false|~spl0_40),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1026,f52])).
% 0.19/0.46 fof(f1028,plain,(
% 0.19/0.46 ~spl0_40),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f1027])).
% 0.19/0.46 fof(f1109,plain,(
% 0.19/0.46 spl0_88 <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f1110,plain,(
% 0.19/0.46 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)|~spl0_88),
% 0.19/0.46 inference(component_clause,[status(thm)],[f1109])).
% 0.19/0.46 fof(f1112,plain,(
% 0.19/0.46 spl0_89 <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f1113,plain,(
% 0.19/0.46 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)|~spl0_89),
% 0.19/0.46 inference(component_clause,[status(thm)],[f1112])).
% 0.19/0.46 fof(f1115,plain,(
% 0.19/0.46 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_39),
% 0.19/0.46 inference(resolution,[status(thm)],[f723,f53])).
% 0.19/0.46 fof(f1116,plain,(
% 0.19/0.46 spl0_88|spl0_89|~spl0_39),
% 0.19/0.46 inference(split_clause,[status(thm)],[f1115,f1109,f1112,f722])).
% 0.19/0.46 fof(f1121,plain,(
% 0.19/0.46 ~convergent_lines(sk0_0,sk0_1)|~spl0_88),
% 0.19/0.46 inference(resolution,[status(thm)],[f1110,f36])).
% 0.19/0.46 fof(f1122,plain,(
% 0.19/0.46 $false|~spl0_88),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1121,f50])).
% 0.19/0.46 fof(f1123,plain,(
% 0.19/0.46 ~spl0_88),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f1122])).
% 0.19/0.46 fof(f1124,plain,(
% 0.19/0.46 ~convergent_lines(sk0_0,sk0_1)|~spl0_89),
% 0.19/0.46 inference(resolution,[status(thm)],[f1113,f34])).
% 0.19/0.46 fof(f1125,plain,(
% 0.19/0.46 $false|~spl0_89),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1124,f50])).
% 0.19/0.46 fof(f1126,plain,(
% 0.19/0.46 ~spl0_89),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f1125])).
% 0.19/0.46 fof(f1127,plain,(
% 0.19/0.46 $false),
% 0.19/0.46 inference(sat_refutation,[status(thm)],[f732,f1024,f1028,f1116,f1123,f1126])).
% 0.19/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.46 % Elapsed time: 0.111471 seconds
% 0.19/0.46 % CPU time: 0.809162 seconds
% 0.19/0.46 % Total memory used: 17.329 MB
% 0.19/0.46 % Net memory used: 16.455 MB
%------------------------------------------------------------------------------