TSTP Solution File: GEO184+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO184+3 : TPTP v8.1.2. Released v4.0.0.
% 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 12:08:07 EDT 2023
% Result : Theorem 0.11s 0.27s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : GEO184+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n019.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 12:05:10 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.11/0.26 % Drodi V3.5.1
% 0.11/0.27 % Refutation found
% 0.11/0.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.27 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.27 fof(f1,axiom,(
% 0.11/0.27 (! [X] : ~ distinct_points(X,X) )),
% 0.11/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.27 fof(f4,axiom,(
% 0.11/0.27 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.11/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.27 fof(f7,axiom,(
% 0.11/0.27 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.11/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.27 fof(f8,axiom,(
% 0.11/0.27 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.11/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.27 fof(f11,axiom,(
% 0.11/0.27 (! [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) ) ) )),
% 0.11/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.27 fof(f32,axiom,(
% 0.11/0.27 (! [X,Y] :( equal_lines(X,Y)<=> ~ distinct_lines(X,Y) ) )),
% 0.11/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.27 fof(f34,axiom,(
% 0.11/0.27 (! [X,Y] :( incident_point_and_line(X,Y)<=> ~ apart_point_and_line(X,Y) ) )),
% 0.11/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.27 fof(f36,conjecture,(
% 0.11/0.27 (! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& incident_point_and_line(X,U)& incident_point_and_line(Y,U) )=> equal_lines(U,line_connecting(X,Y)) ) )),
% 0.11/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.27 fof(f37,negated_conjecture,(
% 0.11/0.27 ~((! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& incident_point_and_line(X,U)& incident_point_and_line(Y,U) )=> equal_lines(U,line_connecting(X,Y)) ) ))),
% 0.11/0.27 inference(negated_conjecture,[status(cth)],[f36])).
% 0.11/0.27 fof(f38,plain,(
% 0.11/0.27 ![X0]: (~distinct_points(X0,X0))),
% 0.11/0.27 inference(cnf_transformation,[status(esa)],[f1])).
% 0.11/0.27 fof(f41,plain,(
% 0.11/0.27 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.11/0.27 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.11/0.27 fof(f42,plain,(
% 0.11/0.27 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.11/0.27 inference(miniscoping,[status(esa)],[f41])).
% 0.11/0.27 fof(f43,plain,(
% 0.11/0.27 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.11/0.27 inference(cnf_transformation,[status(esa)],[f42])).
% 0.11/0.27 fof(f50,plain,(
% 0.11/0.27 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.11/0.27 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.11/0.27 fof(f51,plain,(
% 0.11/0.27 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.11/0.27 inference(cnf_transformation,[status(esa)],[f50])).
% 0.11/0.27 fof(f52,plain,(
% 0.11/0.27 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.11/0.27 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.11/0.27 fof(f53,plain,(
% 0.11/0.27 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.11/0.27 inference(cnf_transformation,[status(esa)],[f52])).
% 0.11/0.27 fof(f58,plain,(
% 0.11/0.27 ![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)))),
% 0.11/0.27 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.11/0.27 fof(f59,plain,(
% 0.11/0.27 ![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))),
% 0.11/0.27 inference(cnf_transformation,[status(esa)],[f58])).
% 0.11/0.27 fof(f111,plain,(
% 0.11/0.27 ![X,Y]: ((~equal_lines(X,Y)|~distinct_lines(X,Y))&(equal_lines(X,Y)|distinct_lines(X,Y)))),
% 0.11/0.27 inference(NNF_transformation,[status(esa)],[f32])).
% 0.11/0.27 fof(f112,plain,(
% 0.11/0.27 (![X,Y]: (~equal_lines(X,Y)|~distinct_lines(X,Y)))&(![X,Y]: (equal_lines(X,Y)|distinct_lines(X,Y)))),
% 0.11/0.27 inference(miniscoping,[status(esa)],[f111])).
% 0.11/0.27 fof(f114,plain,(
% 0.11/0.27 ![X0,X1]: (equal_lines(X0,X1)|distinct_lines(X0,X1))),
% 0.11/0.27 inference(cnf_transformation,[status(esa)],[f112])).
% 0.11/0.27 fof(f119,plain,(
% 0.11/0.27 ![X,Y]: ((~incident_point_and_line(X,Y)|~apart_point_and_line(X,Y))&(incident_point_and_line(X,Y)|apart_point_and_line(X,Y)))),
% 0.11/0.27 inference(NNF_transformation,[status(esa)],[f34])).
% 0.11/0.27 fof(f120,plain,(
% 0.11/0.27 (![X,Y]: (~incident_point_and_line(X,Y)|~apart_point_and_line(X,Y)))&(![X,Y]: (incident_point_and_line(X,Y)|apart_point_and_line(X,Y)))),
% 0.11/0.27 inference(miniscoping,[status(esa)],[f119])).
% 0.11/0.27 fof(f121,plain,(
% 0.11/0.27 ![X0,X1]: (~incident_point_and_line(X0,X1)|~apart_point_and_line(X0,X1))),
% 0.11/0.27 inference(cnf_transformation,[status(esa)],[f120])).
% 0.11/0.27 fof(f127,plain,(
% 0.11/0.27 (?[X,Y,U,V]: ((((distinct_points(X,Y)&convergent_lines(U,V))&incident_point_and_line(X,U))&incident_point_and_line(Y,U))&~equal_lines(U,line_connecting(X,Y))))),
% 0.11/0.27 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.11/0.27 fof(f128,plain,(
% 0.11/0.27 ?[X,Y,U]: ((((distinct_points(X,Y)&(?[V]: convergent_lines(U,V)))&incident_point_and_line(X,U))&incident_point_and_line(Y,U))&~equal_lines(U,line_connecting(X,Y)))),
% 0.11/0.27 inference(miniscoping,[status(esa)],[f127])).
% 0.11/0.27 fof(f129,plain,(
% 0.11/0.27 ((((distinct_points(sk0_0,sk0_1)&convergent_lines(sk0_2,sk0_3))&incident_point_and_line(sk0_0,sk0_2))&incident_point_and_line(sk0_1,sk0_2))&~equal_lines(sk0_2,line_connecting(sk0_0,sk0_1)))),
% 0.11/0.27 inference(skolemization,[status(esa)],[f128])).
% 0.11/0.27 fof(f130,plain,(
% 0.11/0.27 distinct_points(sk0_0,sk0_1)),
% 0.11/0.27 inference(cnf_transformation,[status(esa)],[f129])).
% 0.11/0.27 fof(f132,plain,(
% 0.11/0.27 incident_point_and_line(sk0_0,sk0_2)),
% 0.11/0.27 inference(cnf_transformation,[status(esa)],[f129])).
% 0.11/0.27 fof(f133,plain,(
% 0.11/0.27 incident_point_and_line(sk0_1,sk0_2)),
% 0.11/0.27 inference(cnf_transformation,[status(esa)],[f129])).
% 0.11/0.27 fof(f134,plain,(
% 0.11/0.27 ~equal_lines(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.11/0.27 inference(cnf_transformation,[status(esa)],[f129])).
% 0.11/0.27 fof(f142,plain,(
% 0.11/0.27 ![X0,X1]: (~distinct_points(X0,X1)|distinct_points(X1,X0))),
% 0.11/0.27 inference(resolution,[status(thm)],[f43,f38])).
% 0.11/0.27 fof(f146,plain,(
% 0.11/0.27 ![X0,X1,X2,X3]: (~distinct_points(X0,X1)|apart_point_and_line(X0,X2)|apart_point_and_line(X0,X3)|apart_point_and_line(X1,X2)|apart_point_and_line(X1,X3)|equal_lines(X2,X3))),
% 0.11/0.27 inference(resolution,[status(thm)],[f59,f114])).
% 0.11/0.27 fof(f148,plain,(
% 0.11/0.27 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,sk0_2)|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1)))),
% 0.11/0.27 inference(resolution,[status(thm)],[f146,f134])).
% 0.11/0.27 fof(f151,plain,(
% 0.11/0.27 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|~incident_point_and_line(X1,sk0_2))),
% 0.11/0.27 inference(resolution,[status(thm)],[f148,f121])).
% 0.11/0.27 fof(f153,plain,(
% 0.11/0.27 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|~incident_point_and_line(X1,sk0_2)|~incident_point_and_line(X0,sk0_2))),
% 0.11/0.27 inference(resolution,[status(thm)],[f151,f121])).
% 0.11/0.27 fof(f157,plain,(
% 0.11/0.27 spl0_1 <=> apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))),
% 0.11/0.27 introduced(split_symbol_definition)).
% 0.11/0.27 fof(f158,plain,(
% 0.11/0.27 apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_1),
% 0.11/0.27 inference(component_clause,[status(thm)],[f157])).
% 0.11/0.27 fof(f162,plain,(
% 0.11/0.27 spl0_2 <=> ~distinct_points(X0,sk0_0)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|~incident_point_and_line(X0,sk0_2)),
% 0.11/0.27 introduced(split_symbol_definition)).
% 0.11/0.27 fof(f163,plain,(
% 0.11/0.27 ![X0]: (~distinct_points(X0,sk0_0)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|~incident_point_and_line(X0,sk0_2)|~spl0_2)),
% 0.11/0.27 inference(component_clause,[status(thm)],[f162])).
% 0.11/0.27 fof(f165,plain,(
% 0.11/0.27 spl0_3 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.11/0.27 introduced(split_symbol_definition)).
% 0.11/0.27 fof(f166,plain,(
% 0.11/0.27 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_3),
% 0.11/0.27 inference(component_clause,[status(thm)],[f165])).
% 0.11/0.27 fof(f168,plain,(
% 0.11/0.27 ![X0]: (~distinct_points(X0,sk0_0)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~incident_point_and_line(X0,sk0_2))),
% 0.11/0.27 inference(resolution,[status(thm)],[f153,f132])).
% 0.11/0.27 fof(f169,plain,(
% 0.11/0.27 spl0_2|spl0_3),
% 0.11/0.27 inference(split_clause,[status(thm)],[f168,f162,f165])).
% 0.11/0.27 fof(f171,plain,(
% 0.11/0.27 spl0_4 <=> distinct_points(sk0_1,sk0_0)),
% 0.11/0.27 introduced(split_symbol_definition)).
% 0.11/0.27 fof(f173,plain,(
% 0.11/0.27 ~distinct_points(sk0_1,sk0_0)|spl0_4),
% 0.11/0.27 inference(component_clause,[status(thm)],[f171])).
% 0.11/0.27 fof(f174,plain,(
% 0.11/0.27 ~distinct_points(sk0_1,sk0_0)|apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_2),
% 0.11/0.27 inference(resolution,[status(thm)],[f163,f133])).
% 0.11/0.27 fof(f175,plain,(
% 0.11/0.27 ~spl0_4|spl0_1|~spl0_2),
% 0.11/0.27 inference(split_clause,[status(thm)],[f174,f171,f157,f162])).
% 0.11/0.27 fof(f182,plain,(
% 0.11/0.27 ~distinct_points(sk0_0,sk0_1)|spl0_4),
% 0.11/0.27 inference(resolution,[status(thm)],[f173,f142])).
% 0.11/0.27 fof(f183,plain,(
% 0.11/0.27 $false|spl0_4),
% 0.11/0.27 inference(forward_subsumption_resolution,[status(thm)],[f182,f130])).
% 0.11/0.27 fof(f184,plain,(
% 0.11/0.27 spl0_4),
% 0.11/0.27 inference(contradiction_clause,[status(thm)],[f183])).
% 0.11/0.27 fof(f185,plain,(
% 0.11/0.27 ~distinct_points(sk0_0,sk0_1)|~spl0_1),
% 0.11/0.27 inference(resolution,[status(thm)],[f158,f53])).
% 0.11/0.27 fof(f186,plain,(
% 0.11/0.27 $false|~spl0_1),
% 0.11/0.27 inference(forward_subsumption_resolution,[status(thm)],[f185,f130])).
% 0.11/0.27 fof(f187,plain,(
% 0.11/0.27 ~spl0_1),
% 0.11/0.27 inference(contradiction_clause,[status(thm)],[f186])).
% 0.11/0.27 fof(f188,plain,(
% 0.11/0.27 ~distinct_points(sk0_0,sk0_1)|~spl0_3),
% 0.11/0.27 inference(resolution,[status(thm)],[f166,f51])).
% 0.11/0.27 fof(f189,plain,(
% 0.11/0.27 $false|~spl0_3),
% 0.11/0.27 inference(forward_subsumption_resolution,[status(thm)],[f188,f130])).
% 0.11/0.27 fof(f190,plain,(
% 0.11/0.27 ~spl0_3),
% 0.11/0.27 inference(contradiction_clause,[status(thm)],[f189])).
% 0.11/0.27 fof(f191,plain,(
% 0.11/0.27 $false),
% 0.11/0.27 inference(sat_refutation,[status(thm)],[f169,f175,f184,f187,f190])).
% 0.11/0.27 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.49 % Elapsed time: 0.012076 seconds
% 0.11/0.49 % CPU time: 0.051565 seconds
% 0.11/0.49 % Memory used: 2.586 MB
%------------------------------------------------------------------------------