TSTP Solution File: GEO205+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO205+1 : 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 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO205+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n023.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 12:20:53 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.33 fof(f2,axiom,(
% 0.15/0.33 (! [X] : ~ distinct_lines(X,X) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f3,axiom,(
% 0.15/0.33 (! [X] : ~ convergent_lines(X,X) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f5,axiom,(
% 0.15/0.33 (! [X,Y,Z] :( distinct_lines(X,Y)=> ( distinct_lines(X,Z)| distinct_lines(Y,Z) ) ) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f6,axiom,(
% 0.15/0.33 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f9,axiom,(
% 0.15/0.33 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),X) ) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f10,axiom,(
% 0.15/0.33 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),Y) ) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f11,axiom,(
% 0.15/0.33 (! [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) ) ) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f13,axiom,(
% 0.15/0.33 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f14,axiom,(
% 0.15/0.33 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( distinct_lines(Y,Z)| convergent_lines(X,Z) ) ) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f15,conjecture,(
% 0.15/0.33 (! [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)) ) ) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f16,negated_conjecture,(
% 0.15/0.33 ~((! [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)) ) ) ))),
% 0.15/0.33 inference(negated_conjecture,[status(cth)],[f15])).
% 0.15/0.33 fof(f18,plain,(
% 0.15/0.33 ![X0]: (~distinct_lines(X0,X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.33 fof(f19,plain,(
% 0.15/0.33 ![X0]: (~convergent_lines(X0,X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.33 fof(f23,plain,(
% 0.15/0.33 ![X,Y,Z]: (~distinct_lines(X,Y)|(distinct_lines(X,Z)|distinct_lines(Y,Z)))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.15/0.33 fof(f24,plain,(
% 0.15/0.33 ![X,Y]: (~distinct_lines(X,Y)|(![Z]: (distinct_lines(X,Z)|distinct_lines(Y,Z))))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f23])).
% 0.15/0.33 fof(f25,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~distinct_lines(X0,X1)|distinct_lines(X0,X2)|distinct_lines(X1,X2))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f24])).
% 0.15/0.33 fof(f26,plain,(
% 0.15/0.33 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.15/0.33 fof(f27,plain,(
% 0.15/0.33 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f26])).
% 0.15/0.33 fof(f28,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f27])).
% 0.15/0.33 fof(f33,plain,(
% 0.15/0.33 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.15/0.33 fof(f34,plain,(
% 0.15/0.33 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f33])).
% 0.15/0.33 fof(f35,plain,(
% 0.15/0.33 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.15/0.33 fof(f36,plain,(
% 0.15/0.33 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f35])).
% 0.15/0.33 fof(f37,plain,(
% 0.15/0.33 ![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)))),
% 0.15/0.35 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.15/0.35 fof(f38,plain,(
% 0.15/0.35 ![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))),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f37])).
% 0.15/0.35 fof(f42,plain,(
% 0.15/0.35 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.15/0.35 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.15/0.35 fof(f43,plain,(
% 0.15/0.35 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.15/0.35 inference(miniscoping,[status(esa)],[f42])).
% 0.15/0.35 fof(f44,plain,(
% 0.15/0.35 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f43])).
% 0.15/0.35 fof(f45,plain,(
% 0.15/0.35 ![X,Y,Z]: (~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))),
% 0.15/0.35 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.15/0.35 fof(f46,plain,(
% 0.15/0.35 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (distinct_lines(Y,Z)|convergent_lines(X,Z))))),
% 0.15/0.35 inference(miniscoping,[status(esa)],[f45])).
% 0.15/0.35 fof(f47,plain,(
% 0.15/0.35 ![X0,X1,X2]: (~convergent_lines(X0,X1)|distinct_lines(X1,X2)|convergent_lines(X0,X2))),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f46])).
% 0.15/0.35 fof(f48,plain,(
% 0.15/0.35 (?[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)))))),
% 0.15/0.35 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.15/0.35 fof(f49,plain,(
% 0.15/0.35 ((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))))),
% 0.15/0.35 inference(skolemization,[status(esa)],[f48])).
% 0.15/0.35 fof(f50,plain,(
% 0.15/0.35 convergent_lines(sk0_0,sk0_1)),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f49])).
% 0.15/0.35 fof(f51,plain,(
% 0.15/0.35 ~distinct_lines(sk0_1,sk0_2)),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f49])).
% 0.15/0.35 fof(f52,plain,(
% 0.15/0.35 ~convergent_lines(sk0_0,sk0_2)|distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f49])).
% 0.15/0.35 fof(f53,plain,(
% 0.15/0.35 spl0_0 <=> convergent_lines(sk0_0,sk0_2)),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f55,plain,(
% 0.15/0.35 ~convergent_lines(sk0_0,sk0_2)|spl0_0),
% 0.15/0.35 inference(component_clause,[status(thm)],[f53])).
% 0.15/0.35 fof(f56,plain,(
% 0.15/0.35 spl0_1 <=> distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f57,plain,(
% 0.15/0.35 distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))|~spl0_1),
% 0.15/0.35 inference(component_clause,[status(thm)],[f56])).
% 0.15/0.35 fof(f59,plain,(
% 0.15/0.35 ~spl0_0|spl0_1),
% 0.15/0.35 inference(split_clause,[status(thm)],[f52,f53,f56])).
% 0.15/0.35 fof(f61,plain,(
% 0.15/0.35 ![X0,X1]: (~convergent_lines(X0,X1)|convergent_lines(X1,X0))),
% 0.15/0.35 inference(resolution,[status(thm)],[f28,f19])).
% 0.15/0.35 fof(f64,plain,(
% 0.15/0.35 ![X0,X1]: (~convergent_lines(X0,X1)|distinct_lines(X1,X0))),
% 0.15/0.35 inference(resolution,[status(thm)],[f47,f19])).
% 0.15/0.35 fof(f65,plain,(
% 0.15/0.35 ~convergent_lines(sk0_2,sk0_1)),
% 0.15/0.35 inference(resolution,[status(thm)],[f64,f51])).
% 0.15/0.35 fof(f69,plain,(
% 0.15/0.35 ~convergent_lines(sk0_1,sk0_2)),
% 0.15/0.35 inference(resolution,[status(thm)],[f65,f61])).
% 0.15/0.35 fof(f80,plain,(
% 0.15/0.35 ![X0]: (~convergent_lines(X0,sk0_1)|convergent_lines(X0,sk0_2))),
% 0.15/0.35 inference(resolution,[status(thm)],[f69,f28])).
% 0.15/0.35 fof(f150,plain,(
% 0.15/0.35 ~convergent_lines(sk0_0,sk0_1)|spl0_0),
% 0.15/0.35 inference(resolution,[status(thm)],[f55,f80])).
% 0.15/0.35 fof(f151,plain,(
% 0.15/0.35 $false|spl0_0),
% 0.15/0.35 inference(forward_subsumption_resolution,[status(thm)],[f150,f50])).
% 0.15/0.35 fof(f152,plain,(
% 0.15/0.35 spl0_0),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f151])).
% 0.15/0.35 fof(f153,plain,(
% 0.15/0.35 ![X0,X1]: (~distinct_lines(X0,X1)|apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)|apart_point_and_line(intersection_point(sk0_0,sk0_1),X1)|apart_point_and_line(intersection_point(sk0_0,sk0_2),X0)|apart_point_and_line(intersection_point(sk0_0,sk0_2),X1)|~spl0_1)),
% 0.15/0.35 inference(resolution,[status(thm)],[f57,f38])).
% 0.15/0.35 fof(f167,plain,(
% 0.15/0.35 spl0_6 <=> convergent_lines(sk0_0,sk0_1)),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f169,plain,(
% 0.15/0.35 ~convergent_lines(sk0_0,sk0_1)|spl0_6),
% 0.15/0.35 inference(component_clause,[status(thm)],[f167])).
% 0.15/0.35 fof(f172,plain,(
% 0.15/0.35 spl0_7 <=> ~distinct_lines(X0,sk0_0)|apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)|apart_point_and_line(intersection_point(sk0_0,sk0_2),X0)),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f173,plain,(
% 0.15/0.35 ![X0]: (~distinct_lines(X0,sk0_0)|apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)|apart_point_and_line(intersection_point(sk0_0,sk0_2),X0)|~spl0_7)),
% 0.15/0.35 inference(component_clause,[status(thm)],[f172])).
% 0.15/0.35 fof(f184,plain,(
% 0.15/0.35 spl0_9 <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f185,plain,(
% 0.15/0.35 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)|~spl0_9),
% 0.15/0.35 inference(component_clause,[status(thm)],[f184])).
% 0.15/0.35 fof(f197,plain,(
% 0.15/0.35 spl0_12 <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f198,plain,(
% 0.15/0.35 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)|~spl0_12),
% 0.15/0.35 inference(component_clause,[status(thm)],[f197])).
% 0.15/0.35 fof(f224,plain,(
% 0.15/0.35 ![X0]: (~distinct_lines(X0,sk0_0)|apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)|apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)|apart_point_and_line(intersection_point(sk0_0,sk0_2),X0)|~convergent_lines(sk0_0,sk0_2)|~spl0_1)),
% 0.15/0.35 inference(resolution,[status(thm)],[f153,f34])).
% 0.15/0.35 fof(f225,plain,(
% 0.15/0.35 spl0_7|spl0_12|~spl0_0|~spl0_1),
% 0.15/0.35 inference(split_clause,[status(thm)],[f224,f172,f197,f53,f56])).
% 0.15/0.35 fof(f232,plain,(
% 0.15/0.35 $false|spl0_6),
% 0.15/0.35 inference(forward_subsumption_resolution,[status(thm)],[f169,f50])).
% 0.15/0.35 fof(f233,plain,(
% 0.15/0.35 spl0_6),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f232])).
% 0.15/0.35 fof(f234,plain,(
% 0.15/0.35 ![X0]: (distinct_lines(sk0_2,X0)|apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)|~spl0_9)),
% 0.15/0.35 inference(resolution,[status(thm)],[f185,f44])).
% 0.15/0.35 fof(f236,plain,(
% 0.15/0.35 ~convergent_lines(sk0_0,sk0_1)|~spl0_12),
% 0.15/0.35 inference(resolution,[status(thm)],[f198,f34])).
% 0.15/0.35 fof(f237,plain,(
% 0.15/0.35 ~spl0_6|~spl0_12),
% 0.15/0.35 inference(split_clause,[status(thm)],[f236,f167,f197])).
% 0.15/0.35 fof(f242,plain,(
% 0.15/0.35 ![X0,X1]: (apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)|distinct_lines(sk0_2,X1)|distinct_lines(X0,X1)|~spl0_9)),
% 0.15/0.35 inference(resolution,[status(thm)],[f234,f25])).
% 0.15/0.35 fof(f251,plain,(
% 0.15/0.35 ![X0]: (apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)|distinct_lines(X0,sk0_2)|~spl0_9)),
% 0.15/0.35 inference(resolution,[status(thm)],[f242,f18])).
% 0.15/0.35 fof(f252,plain,(
% 0.15/0.35 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)|~spl0_9),
% 0.15/0.35 inference(resolution,[status(thm)],[f251,f51])).
% 0.15/0.35 fof(f255,plain,(
% 0.15/0.35 ~convergent_lines(sk0_0,sk0_1)|~spl0_9),
% 0.15/0.35 inference(resolution,[status(thm)],[f252,f36])).
% 0.15/0.35 fof(f256,plain,(
% 0.15/0.35 ~spl0_6|~spl0_9),
% 0.15/0.35 inference(split_clause,[status(thm)],[f255,f167,f184])).
% 0.15/0.35 fof(f289,plain,(
% 0.15/0.35 spl0_18 <=> distinct_lines(sk0_2,sk0_0)),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f291,plain,(
% 0.15/0.35 ~distinct_lines(sk0_2,sk0_0)|spl0_18),
% 0.15/0.35 inference(component_clause,[status(thm)],[f289])).
% 0.15/0.35 fof(f292,plain,(
% 0.15/0.35 ~distinct_lines(sk0_2,sk0_0)|apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)|~convergent_lines(sk0_0,sk0_2)|~spl0_7),
% 0.15/0.35 inference(resolution,[status(thm)],[f173,f36])).
% 0.15/0.35 fof(f293,plain,(
% 0.15/0.35 ~spl0_18|spl0_9|~spl0_0|~spl0_7),
% 0.15/0.35 inference(split_clause,[status(thm)],[f292,f289,f184,f53,f172])).
% 0.15/0.35 fof(f320,plain,(
% 0.15/0.35 ~convergent_lines(sk0_0,sk0_2)|spl0_18),
% 0.15/0.35 inference(resolution,[status(thm)],[f291,f64])).
% 0.15/0.35 fof(f321,plain,(
% 0.15/0.35 ~spl0_0|spl0_18),
% 0.15/0.35 inference(split_clause,[status(thm)],[f320,f53,f289])).
% 0.15/0.35 fof(f322,plain,(
% 0.15/0.35 $false),
% 0.15/0.35 inference(sat_refutation,[status(thm)],[f59,f152,f225,f233,f237,f256,f293,f321])).
% 0.15/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.56 % Elapsed time: 0.037674 seconds
% 0.15/0.56 % CPU time: 0.024865 seconds
% 0.15/0.56 % Memory used: 713.954 KB
%------------------------------------------------------------------------------