TSTP Solution File: GEO205+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO205+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:08:17 EDT 2023
% Result : Theorem 1.42s 0.55s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO205+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 12:21:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 1.42/0.55 % Refutation found
% 1.42/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.42/0.55 % SZS output start CNFRefutation for theBenchmark
% 1.42/0.55 fof(f1,axiom,(
% 1.42/0.55 (! [X] : ~ distinct_points(X,X) )),
% 1.42/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.55 fof(f2,axiom,(
% 1.42/0.55 (! [X] : ~ distinct_lines(X,X) )),
% 1.42/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.55 fof(f3,axiom,(
% 1.42/0.55 (! [X] : ~ convergent_lines(X,X) )),
% 1.42/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.55 fof(f6,axiom,(
% 1.42/0.55 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 1.42/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.55 fof(f8,axiom,(
% 1.42/0.55 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( ( apart_point_and_line(Z,X)| apart_point_and_line(Z,Y) )=> distinct_points(Z,intersection_point(X,Y)) ) ) )),
% 1.42/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.55 fof(f9,axiom,(
% 1.42/0.55 (! [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) ) ) )),
% 1.42/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.55 fof(f11,axiom,(
% 1.42/0.55 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 1.42/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.55 fof(f12,axiom,(
% 1.42/0.55 (! [X,Y] :( convergent_lines(X,Y)=> distinct_lines(X,Y) ) )),
% 1.42/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.55 fof(f13,conjecture,(
% 1.42/0.55 (! [X,Y,Z] :( ( convergent_lines(X,Y)& ~ distinct_lines(Y,Z) )=> ( convergent_lines(X,Z)& ~ distinct_points(intersection_point(X,Y),intersection_point(X,Z)) ) ) )),
% 1.42/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.55 fof(f14,negated_conjecture,(
% 1.42/0.55 ~((! [X,Y,Z] :( ( convergent_lines(X,Y)& ~ distinct_lines(Y,Z) )=> ( convergent_lines(X,Z)& ~ distinct_points(intersection_point(X,Y),intersection_point(X,Z)) ) ) ))),
% 1.42/0.55 inference(negated_conjecture,[status(cth)],[f13])).
% 1.42/0.55 fof(f15,plain,(
% 1.42/0.55 ![X0]: (~distinct_points(X0,X0))),
% 1.42/0.55 inference(cnf_transformation,[status(esa)],[f1])).
% 1.42/0.55 fof(f16,plain,(
% 1.42/0.55 ![X0]: (~distinct_lines(X0,X0))),
% 1.42/0.55 inference(cnf_transformation,[status(esa)],[f2])).
% 1.42/0.55 fof(f17,plain,(
% 1.42/0.55 ![X0]: (~convergent_lines(X0,X0))),
% 1.42/0.55 inference(cnf_transformation,[status(esa)],[f3])).
% 1.42/0.55 fof(f24,plain,(
% 1.42/0.55 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 1.42/0.55 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 1.42/0.55 fof(f25,plain,(
% 1.42/0.55 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 1.42/0.55 inference(miniscoping,[status(esa)],[f24])).
% 1.42/0.55 fof(f26,plain,(
% 1.42/0.55 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 1.42/0.55 inference(cnf_transformation,[status(esa)],[f25])).
% 1.42/0.55 fof(f31,plain,(
% 1.42/0.55 ![X,Y,Z]: (~convergent_lines(X,Y)|((~apart_point_and_line(Z,X)&~apart_point_and_line(Z,Y))|distinct_points(Z,intersection_point(X,Y))))),
% 1.42/0.55 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 1.42/0.55 fof(f32,plain,(
% 1.42/0.55 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: ((~apart_point_and_line(Z,X)&~apart_point_and_line(Z,Y))|distinct_points(Z,intersection_point(X,Y)))))),
% 1.42/0.55 inference(miniscoping,[status(esa)],[f31])).
% 1.42/0.55 fof(f33,plain,(
% 1.42/0.55 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X0)|distinct_points(X2,intersection_point(X0,X1)))),
% 1.42/0.55 inference(cnf_transformation,[status(esa)],[f32])).
% 1.42/0.55 fof(f34,plain,(
% 1.42/0.55 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X1)|distinct_points(X2,intersection_point(X0,X1)))),
% 1.42/0.55 inference(cnf_transformation,[status(esa)],[f32])).
% 1.42/0.55 fof(f35,plain,(
% 1.42/0.55 ![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)))),
% 1.42/0.55 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 1.42/0.55 fof(f36,plain,(
% 1.42/0.55 ![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))),
% 1.42/0.55 inference(cnf_transformation,[status(esa)],[f35])).
% 1.42/0.55 fof(f40,plain,(
% 1.42/0.55 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 1.42/0.55 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 1.42/0.55 fof(f41,plain,(
% 1.42/0.55 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 1.42/0.55 inference(miniscoping,[status(esa)],[f40])).
% 1.42/0.55 fof(f42,plain,(
% 1.42/0.55 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 1.42/0.55 inference(cnf_transformation,[status(esa)],[f41])).
% 1.42/0.55 fof(f43,plain,(
% 1.42/0.55 ![X,Y]: (~convergent_lines(X,Y)|distinct_lines(X,Y))),
% 1.42/0.55 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 1.42/0.55 fof(f44,plain,(
% 1.42/0.55 ![X0,X1]: (~convergent_lines(X0,X1)|distinct_lines(X0,X1))),
% 1.42/0.55 inference(cnf_transformation,[status(esa)],[f43])).
% 1.42/0.55 fof(f45,plain,(
% 1.42/0.55 (?[X,Y,Z]: ((convergent_lines(X,Y)&~distinct_lines(Y,Z))&(~convergent_lines(X,Z)|distinct_points(intersection_point(X,Y),intersection_point(X,Z)))))),
% 1.42/0.55 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 1.42/0.55 fof(f46,plain,(
% 1.42/0.55 ((convergent_lines(sk0_0,sk0_1)&~distinct_lines(sk0_1,sk0_2))&(~convergent_lines(sk0_0,sk0_2)|distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))))),
% 1.42/0.55 inference(skolemization,[status(esa)],[f45])).
% 1.42/0.55 fof(f47,plain,(
% 1.42/0.55 convergent_lines(sk0_0,sk0_1)),
% 1.42/0.55 inference(cnf_transformation,[status(esa)],[f46])).
% 1.42/0.55 fof(f48,plain,(
% 1.42/0.55 ~distinct_lines(sk0_1,sk0_2)),
% 1.42/0.55 inference(cnf_transformation,[status(esa)],[f46])).
% 1.42/0.55 fof(f49,plain,(
% 1.42/0.55 ~convergent_lines(sk0_0,sk0_2)|distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))),
% 1.42/0.55 inference(cnf_transformation,[status(esa)],[f46])).
% 1.42/0.55 fof(f50,plain,(
% 1.42/0.55 spl0_0 <=> convergent_lines(sk0_0,sk0_2)),
% 1.42/0.55 introduced(split_symbol_definition)).
% 1.42/0.55 fof(f52,plain,(
% 1.42/0.55 ~convergent_lines(sk0_0,sk0_2)|spl0_0),
% 1.42/0.55 inference(component_clause,[status(thm)],[f50])).
% 1.42/0.55 fof(f53,plain,(
% 1.42/0.55 spl0_1 <=> distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))),
% 1.42/0.55 introduced(split_symbol_definition)).
% 1.42/0.55 fof(f54,plain,(
% 1.42/0.55 distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))|~spl0_1),
% 1.42/0.55 inference(component_clause,[status(thm)],[f53])).
% 1.42/0.55 fof(f56,plain,(
% 1.42/0.55 ~spl0_0|spl0_1),
% 1.42/0.55 inference(split_clause,[status(thm)],[f49,f50,f53])).
% 1.42/0.55 fof(f65,plain,(
% 1.42/0.55 ![X0]: (convergent_lines(sk0_0,X0)|convergent_lines(sk0_1,X0))),
% 1.42/0.55 inference(resolution,[status(thm)],[f26,f47])).
% 1.42/0.55 fof(f67,plain,(
% 1.42/0.55 ![X0]: (convergent_lines(sk0_0,X0)|distinct_lines(sk0_1,X0))),
% 1.42/0.55 inference(resolution,[status(thm)],[f65,f44])).
% 1.42/0.55 fof(f71,plain,(
% 1.42/0.55 distinct_lines(sk0_1,sk0_0)),
% 1.42/0.55 inference(resolution,[status(thm)],[f67,f17])).
% 1.42/0.55 fof(f74,plain,(
% 1.42/0.55 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 1.42/0.55 inference(resolution,[status(thm)],[f33,f15])).
% 1.42/0.55 fof(f76,plain,(
% 1.42/0.55 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 1.42/0.55 inference(resolution,[status(thm)],[f34,f15])).
% 1.42/0.55 fof(f130,plain,(
% 1.42/0.55 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,sk0_0)|apart_point_and_line(X1,sk0_1)|apart_point_and_line(X1,sk0_0))),
% 1.42/0.55 inference(resolution,[status(thm)],[f36,f71])).
% 1.42/0.55 fof(f141,plain,(
% 1.42/0.55 distinct_lines(sk0_1,sk0_2)|spl0_0),
% 1.42/0.55 inference(resolution,[status(thm)],[f52,f67])).
% 1.42/0.55 fof(f142,plain,(
% 1.42/0.55 $false|spl0_0),
% 1.42/0.55 inference(forward_subsumption_resolution,[status(thm)],[f141,f48])).
% 1.42/0.55 fof(f143,plain,(
% 1.42/0.55 spl0_0),
% 1.42/0.55 inference(contradiction_clause,[status(thm)],[f142])).
% 1.42/0.55 fof(f218,plain,(
% 1.42/0.55 spl0_9 <=> distinct_lines(sk0_2,X0)),
% 1.42/0.55 introduced(split_symbol_definition)).
% 1.42/0.55 fof(f219,plain,(
% 1.42/0.55 ![X0]: (distinct_lines(sk0_2,X0)|~spl0_9)),
% 1.42/0.55 inference(component_clause,[status(thm)],[f218])).
% 1.42/0.55 fof(f290,plain,(
% 1.42/0.55 spl0_12 <=> distinct_lines(sk0_0,sk0_0)),
% 1.42/0.55 introduced(split_symbol_definition)).
% 1.42/0.55 fof(f291,plain,(
% 1.42/0.55 distinct_lines(sk0_0,sk0_0)|~spl0_12),
% 1.42/0.55 inference(component_clause,[status(thm)],[f290])).
% 1.42/0.55 fof(f806,plain,(
% 1.42/0.55 spl0_23 <=> apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_1)),
% 1.42/0.55 introduced(split_symbol_definition)).
% 1.42/0.55 fof(f807,plain,(
% 1.42/0.55 apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_1)|~spl0_23),
% 1.42/0.55 inference(component_clause,[status(thm)],[f806])).
% 1.42/0.55 fof(f829,plain,(
% 1.62/0.56 spl0_28 <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)),
% 1.62/0.56 introduced(split_symbol_definition)).
% 1.62/0.56 fof(f830,plain,(
% 1.62/0.56 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)|~spl0_28),
% 1.62/0.56 inference(component_clause,[status(thm)],[f829])).
% 1.62/0.56 fof(f987,plain,(
% 1.62/0.56 ![X0]: (distinct_lines(sk0_1,X0)|apart_point_and_line(intersection_point(sk0_0,sk0_2),X0)|~spl0_23)),
% 1.62/0.56 inference(resolution,[status(thm)],[f807,f42])).
% 1.62/0.56 fof(f989,plain,(
% 1.62/0.56 ~convergent_lines(sk0_0,sk0_1)|~spl0_28),
% 1.62/0.56 inference(resolution,[status(thm)],[f830,f76])).
% 1.62/0.56 fof(f990,plain,(
% 1.62/0.56 $false|~spl0_28),
% 1.62/0.56 inference(forward_subsumption_resolution,[status(thm)],[f989,f47])).
% 1.62/0.56 fof(f991,plain,(
% 1.62/0.56 ~spl0_28),
% 1.62/0.56 inference(contradiction_clause,[status(thm)],[f990])).
% 1.62/0.56 fof(f992,plain,(
% 1.62/0.56 spl0_37 <=> distinct_lines(sk0_1,sk0_2)),
% 1.62/0.56 introduced(split_symbol_definition)).
% 1.62/0.56 fof(f993,plain,(
% 1.62/0.56 distinct_lines(sk0_1,sk0_2)|~spl0_37),
% 1.62/0.56 inference(component_clause,[status(thm)],[f992])).
% 1.62/0.56 fof(f995,plain,(
% 1.62/0.56 distinct_lines(sk0_1,sk0_2)|~convergent_lines(sk0_0,sk0_2)|~spl0_23),
% 1.62/0.56 inference(resolution,[status(thm)],[f987,f76])).
% 1.62/0.56 fof(f996,plain,(
% 1.62/0.56 spl0_37|~spl0_0|~spl0_23),
% 1.62/0.56 inference(split_clause,[status(thm)],[f995,f992,f50,f806])).
% 1.62/0.56 fof(f1003,plain,(
% 1.62/0.56 $false|~spl0_37),
% 1.62/0.56 inference(forward_subsumption_resolution,[status(thm)],[f993,f48])).
% 1.62/0.56 fof(f1004,plain,(
% 1.62/0.56 ~spl0_37),
% 1.62/0.56 inference(contradiction_clause,[status(thm)],[f1003])).
% 1.62/0.56 fof(f1174,plain,(
% 1.62/0.56 spl0_44 <=> convergent_lines(sk0_0,sk0_1)),
% 1.62/0.56 introduced(split_symbol_definition)).
% 1.62/0.56 fof(f1176,plain,(
% 1.62/0.56 ~convergent_lines(sk0_0,sk0_1)|spl0_44),
% 1.62/0.56 inference(component_clause,[status(thm)],[f1174])).
% 1.62/0.56 fof(f1188,plain,(
% 1.62/0.56 $false|spl0_44),
% 1.62/0.56 inference(forward_subsumption_resolution,[status(thm)],[f1176,f47])).
% 1.62/0.56 fof(f1189,plain,(
% 1.62/0.56 spl0_44),
% 1.62/0.56 inference(contradiction_clause,[status(thm)],[f1188])).
% 1.62/0.56 fof(f1190,plain,(
% 1.62/0.56 $false|~spl0_12),
% 1.62/0.56 inference(forward_subsumption_resolution,[status(thm)],[f291,f16])).
% 1.62/0.56 fof(f1191,plain,(
% 1.62/0.56 ~spl0_12),
% 1.62/0.56 inference(contradiction_clause,[status(thm)],[f1190])).
% 1.62/0.56 fof(f1311,plain,(
% 1.62/0.56 $false|~spl0_9),
% 1.62/0.56 inference(resolution,[status(thm)],[f219,f16])).
% 1.62/0.56 fof(f1312,plain,(
% 1.62/0.56 ~spl0_9),
% 1.62/0.56 inference(contradiction_clause,[status(thm)],[f1311])).
% 1.62/0.56 fof(f1461,plain,(
% 1.62/0.56 spl0_56 <=> apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_0)),
% 1.62/0.56 introduced(split_symbol_definition)).
% 1.62/0.56 fof(f1462,plain,(
% 1.62/0.56 apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_0)|~spl0_56),
% 1.62/0.56 inference(component_clause,[status(thm)],[f1461])).
% 1.62/0.56 fof(f1484,plain,(
% 1.62/0.56 spl0_61 <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)),
% 1.62/0.56 introduced(split_symbol_definition)).
% 1.62/0.56 fof(f1485,plain,(
% 1.62/0.56 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)|~spl0_61),
% 1.62/0.56 inference(component_clause,[status(thm)],[f1484])).
% 1.62/0.56 fof(f1487,plain,(
% 1.62/0.56 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)|apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)|apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_1)|apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_0)|~spl0_1),
% 1.62/0.56 inference(resolution,[status(thm)],[f130,f54])).
% 1.62/0.56 fof(f1488,plain,(
% 1.62/0.56 spl0_28|spl0_61|spl0_23|spl0_56|~spl0_1),
% 1.62/0.56 inference(split_clause,[status(thm)],[f1487,f829,f1484,f806,f1461,f53])).
% 1.62/0.56 fof(f1703,plain,(
% 1.62/0.56 ~convergent_lines(sk0_0,sk0_2)|~spl0_56),
% 1.62/0.56 inference(resolution,[status(thm)],[f1462,f74])).
% 1.62/0.56 fof(f1704,plain,(
% 1.62/0.56 ~spl0_0|~spl0_56),
% 1.62/0.56 inference(split_clause,[status(thm)],[f1703,f50,f1461])).
% 1.62/0.56 fof(f1707,plain,(
% 1.62/0.56 ~convergent_lines(sk0_0,sk0_1)|~spl0_61),
% 1.62/0.56 inference(resolution,[status(thm)],[f1485,f74])).
% 1.62/0.56 fof(f1708,plain,(
% 1.62/0.56 ~spl0_44|~spl0_61),
% 1.62/0.56 inference(split_clause,[status(thm)],[f1707,f1174,f1484])).
% 1.62/0.56 fof(f1711,plain,(
% 1.62/0.56 $false),
% 1.62/0.56 inference(sat_refutation,[status(thm)],[f56,f143,f991,f996,f1004,f1189,f1191,f1312,f1488,f1704,f1708])).
% 1.62/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 1.62/0.56 % Elapsed time: 0.214023 seconds
% 1.62/0.56 % CPU time: 1.611689 seconds
% 1.62/0.56 % Memory used: 17.021 MB
%------------------------------------------------------------------------------