TSTP Solution File: GEO170+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO170+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 12:08:00 EDT 2023
% Result : Theorem 0.14s 0.31s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO170+3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n003.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 12:05:53 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 0.14/0.31 % Refutation found
% 0.14/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.31 fof(f1,axiom,(
% 0.14/0.31 (! [X] : ~ distinct_points(X,X) )),
% 0.14/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f4,axiom,(
% 0.14/0.31 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.14/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f7,axiom,(
% 0.14/0.31 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.14/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f8,axiom,(
% 0.14/0.31 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.14/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f11,axiom,(
% 0.14/0.31 (! [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) ) ) )),
% 0.14/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f32,axiom,(
% 0.14/0.31 (! [X,Y] :( equal_lines(X,Y)<=> ~ distinct_lines(X,Y) ) )),
% 0.14/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f34,axiom,(
% 0.14/0.31 (! [X,Y] :( incident_point_and_line(X,Y)<=> ~ apart_point_and_line(X,Y) ) )),
% 0.14/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f36,conjecture,(
% 0.14/0.31 (! [X,Y,Z] :( ( distinct_points(X,Y)& incident_point_and_line(X,Z)& incident_point_and_line(Y,Z) )=> equal_lines(Z,line_connecting(X,Y)) ) )),
% 0.14/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f37,negated_conjecture,(
% 0.14/0.31 ~((! [X,Y,Z] :( ( distinct_points(X,Y)& incident_point_and_line(X,Z)& incident_point_and_line(Y,Z) )=> equal_lines(Z,line_connecting(X,Y)) ) ))),
% 0.14/0.31 inference(negated_conjecture,[status(cth)],[f36])).
% 0.14/0.31 fof(f38,plain,(
% 0.14/0.31 ![X0]: (~distinct_points(X0,X0))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.31 fof(f41,plain,(
% 0.14/0.31 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.14/0.31 fof(f42,plain,(
% 0.14/0.31 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.14/0.31 inference(miniscoping,[status(esa)],[f41])).
% 0.14/0.31 fof(f43,plain,(
% 0.14/0.31 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f42])).
% 0.14/0.31 fof(f50,plain,(
% 0.14/0.31 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.14/0.31 fof(f51,plain,(
% 0.14/0.31 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f50])).
% 0.14/0.31 fof(f52,plain,(
% 0.14/0.31 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.14/0.31 fof(f53,plain,(
% 0.14/0.31 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f52])).
% 0.14/0.31 fof(f58,plain,(
% 0.14/0.31 ![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)))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.14/0.31 fof(f59,plain,(
% 0.14/0.31 ![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))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f58])).
% 0.14/0.31 fof(f111,plain,(
% 0.14/0.31 ![X,Y]: ((~equal_lines(X,Y)|~distinct_lines(X,Y))&(equal_lines(X,Y)|distinct_lines(X,Y)))),
% 0.14/0.31 inference(NNF_transformation,[status(esa)],[f32])).
% 0.14/0.31 fof(f112,plain,(
% 0.14/0.31 (![X,Y]: (~equal_lines(X,Y)|~distinct_lines(X,Y)))&(![X,Y]: (equal_lines(X,Y)|distinct_lines(X,Y)))),
% 0.14/0.31 inference(miniscoping,[status(esa)],[f111])).
% 0.14/0.31 fof(f114,plain,(
% 0.14/0.31 ![X0,X1]: (equal_lines(X0,X1)|distinct_lines(X0,X1))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f112])).
% 0.14/0.31 fof(f119,plain,(
% 0.14/0.31 ![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)))),
% 0.14/0.31 inference(NNF_transformation,[status(esa)],[f34])).
% 0.14/0.31 fof(f120,plain,(
% 0.14/0.31 (![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)))),
% 0.14/0.31 inference(miniscoping,[status(esa)],[f119])).
% 0.14/0.31 fof(f121,plain,(
% 0.14/0.31 ![X0,X1]: (~incident_point_and_line(X0,X1)|~apart_point_and_line(X0,X1))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f120])).
% 0.14/0.31 fof(f127,plain,(
% 0.14/0.31 (?[X,Y,Z]: (((distinct_points(X,Y)&incident_point_and_line(X,Z))&incident_point_and_line(Y,Z))&~equal_lines(Z,line_connecting(X,Y))))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.14/0.31 fof(f128,plain,(
% 0.14/0.31 (((distinct_points(sk0_0,sk0_1)&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)))),
% 0.14/0.31 inference(skolemization,[status(esa)],[f127])).
% 0.14/0.31 fof(f129,plain,(
% 0.14/0.31 distinct_points(sk0_0,sk0_1)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f128])).
% 0.14/0.31 fof(f130,plain,(
% 0.14/0.31 incident_point_and_line(sk0_0,sk0_2)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f128])).
% 0.14/0.31 fof(f131,plain,(
% 0.14/0.31 incident_point_and_line(sk0_1,sk0_2)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f128])).
% 0.14/0.31 fof(f132,plain,(
% 0.14/0.31 ~equal_lines(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f128])).
% 0.14/0.31 fof(f140,plain,(
% 0.14/0.31 ![X0,X1]: (~distinct_points(X0,X1)|distinct_points(X1,X0))),
% 0.14/0.31 inference(resolution,[status(thm)],[f43,f38])).
% 0.14/0.31 fof(f143,plain,(
% 0.14/0.31 ![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))),
% 0.14/0.31 inference(resolution,[status(thm)],[f59,f114])).
% 0.14/0.31 fof(f144,plain,(
% 0.14/0.31 ![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)))),
% 0.14/0.31 inference(resolution,[status(thm)],[f143,f132])).
% 0.14/0.31 fof(f147,plain,(
% 0.14/0.31 ![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))),
% 0.14/0.31 inference(resolution,[status(thm)],[f144,f121])).
% 0.14/0.31 fof(f158,plain,(
% 0.14/0.31 spl0_1 <=> apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f159,plain,(
% 0.14/0.31 apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_1),
% 0.14/0.31 inference(component_clause,[status(thm)],[f158])).
% 0.14/0.31 fof(f163,plain,(
% 0.14/0.31 spl0_2 <=> ~distinct_points(X0,sk0_0)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f164,plain,(
% 0.14/0.31 ![X0]: (~distinct_points(X0,sk0_0)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|~spl0_2)),
% 0.14/0.31 inference(component_clause,[status(thm)],[f163])).
% 0.14/0.31 fof(f166,plain,(
% 0.14/0.31 spl0_3 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f167,plain,(
% 0.14/0.31 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_3),
% 0.14/0.31 inference(component_clause,[status(thm)],[f166])).
% 0.14/0.31 fof(f169,plain,(
% 0.14/0.31 ![X0]: (~distinct_points(X0,sk0_0)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1)))),
% 0.14/0.31 inference(resolution,[status(thm)],[f147,f130])).
% 0.14/0.31 fof(f170,plain,(
% 0.14/0.31 spl0_2|spl0_3),
% 0.14/0.31 inference(split_clause,[status(thm)],[f169,f163,f166])).
% 0.14/0.31 fof(f174,plain,(
% 0.14/0.31 ![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)),
% 0.14/0.31 inference(resolution,[status(thm)],[f164,f121])).
% 0.14/0.31 fof(f178,plain,(
% 0.14/0.31 spl0_4 <=> distinct_points(sk0_1,sk0_0)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f180,plain,(
% 0.14/0.31 ~distinct_points(sk0_1,sk0_0)|spl0_4),
% 0.14/0.31 inference(component_clause,[status(thm)],[f178])).
% 0.14/0.31 fof(f181,plain,(
% 0.14/0.31 ~distinct_points(sk0_1,sk0_0)|apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_2),
% 0.14/0.31 inference(resolution,[status(thm)],[f174,f131])).
% 0.14/0.31 fof(f182,plain,(
% 0.14/0.31 ~spl0_4|spl0_1|~spl0_2),
% 0.14/0.31 inference(split_clause,[status(thm)],[f181,f178,f158,f163])).
% 0.14/0.31 fof(f189,plain,(
% 0.14/0.31 ~distinct_points(sk0_0,sk0_1)|spl0_4),
% 0.14/0.31 inference(resolution,[status(thm)],[f180,f140])).
% 0.14/0.31 fof(f190,plain,(
% 0.14/0.31 $false|spl0_4),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f189,f129])).
% 0.14/0.31 fof(f191,plain,(
% 0.14/0.31 spl0_4),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f190])).
% 0.14/0.31 fof(f192,plain,(
% 0.14/0.31 ~distinct_points(sk0_0,sk0_1)|~spl0_1),
% 0.14/0.31 inference(resolution,[status(thm)],[f159,f53])).
% 0.14/0.31 fof(f193,plain,(
% 0.14/0.31 $false|~spl0_1),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f192,f129])).
% 0.14/0.31 fof(f194,plain,(
% 0.14/0.31 ~spl0_1),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f193])).
% 0.14/0.31 fof(f195,plain,(
% 0.14/0.31 ~distinct_points(sk0_0,sk0_1)|~spl0_3),
% 0.14/0.31 inference(resolution,[status(thm)],[f167,f51])).
% 0.14/0.31 fof(f196,plain,(
% 0.14/0.31 $false|~spl0_3),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f195,f129])).
% 0.14/0.31 fof(f197,plain,(
% 0.14/0.31 ~spl0_3),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f196])).
% 0.14/0.31 fof(f198,plain,(
% 0.14/0.31 $false),
% 0.14/0.31 inference(sat_refutation,[status(thm)],[f170,f182,f191,f194,f197])).
% 0.14/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.53 % Elapsed time: 0.011126 seconds
% 0.14/0.53 % CPU time: 0.013533 seconds
% 0.14/0.53 % Memory used: 623.427 KB
%------------------------------------------------------------------------------