TSTP Solution File: GEO181+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO181+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:17:20 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO181+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 02:14:10 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.21/0.41 % Refutation found
% 0.21/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.41 fof(f1,axiom,(
% 0.21/0.41 (! [X] : ~ distinct_points(X,X) )),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f2,axiom,(
% 0.21/0.41 (! [X] : ~ distinct_lines(X,X) )),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f4,axiom,(
% 0.21/0.41 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f5,axiom,(
% 0.21/0.41 (! [X,Y,Z] :( distinct_lines(X,Y)=> ( distinct_lines(X,Z)| distinct_lines(Y,Z) ) ) )),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f7,axiom,(
% 0.21/0.41 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f8,axiom,(
% 0.21/0.41 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f11,axiom,(
% 0.21/0.41 (! [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) ) ) )),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f12,axiom,(
% 0.21/0.41 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_points(X,Z)| apart_point_and_line(Z,Y) ) ) )),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f13,axiom,(
% 0.21/0.41 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f15,conjecture,(
% 0.21/0.41 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> apart_point_and_line(Y,line_connecting(X,Z)) ) ) )),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f16,negated_conjecture,(
% 0.21/0.41 ~((! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> apart_point_and_line(Y,line_connecting(X,Z)) ) ) ))),
% 0.21/0.41 inference(negated_conjecture,[status(cth)],[f15])).
% 0.21/0.41 fof(f17,plain,(
% 0.21/0.41 ![X0]: (~distinct_points(X0,X0))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f1])).
% 0.21/0.41 fof(f18,plain,(
% 0.21/0.41 ![X0]: (~distinct_lines(X0,X0))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f2])).
% 0.21/0.41 fof(f20,plain,(
% 0.21/0.41 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.21/0.41 fof(f21,plain,(
% 0.21/0.41 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.21/0.41 inference(miniscoping,[status(esa)],[f20])).
% 0.21/0.41 fof(f22,plain,(
% 0.21/0.41 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f21])).
% 0.21/0.41 fof(f23,plain,(
% 0.21/0.41 ![X,Y,Z]: (~distinct_lines(X,Y)|(distinct_lines(X,Z)|distinct_lines(Y,Z)))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.21/0.41 fof(f24,plain,(
% 0.21/0.41 ![X,Y]: (~distinct_lines(X,Y)|(![Z]: (distinct_lines(X,Z)|distinct_lines(Y,Z))))),
% 0.21/0.41 inference(miniscoping,[status(esa)],[f23])).
% 0.21/0.41 fof(f25,plain,(
% 0.21/0.41 ![X0,X1,X2]: (~distinct_lines(X0,X1)|distinct_lines(X0,X2)|distinct_lines(X1,X2))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f24])).
% 0.21/0.41 fof(f29,plain,(
% 0.21/0.41 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.21/0.41 fof(f30,plain,(
% 0.21/0.41 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f29])).
% 0.21/0.41 fof(f31,plain,(
% 0.21/0.41 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.21/0.41 fof(f32,plain,(
% 0.21/0.41 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f31])).
% 0.21/0.41 fof(f37,plain,(
% 0.21/0.41 ![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)))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.21/0.41 fof(f38,plain,(
% 0.21/0.41 ![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))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f37])).
% 0.21/0.41 fof(f39,plain,(
% 0.21/0.41 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.21/0.41 fof(f40,plain,(
% 0.21/0.41 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_points(X,Z)|apart_point_and_line(Z,Y))))),
% 0.21/0.41 inference(miniscoping,[status(esa)],[f39])).
% 0.21/0.41 fof(f41,plain,(
% 0.21/0.41 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_points(X0,X2)|apart_point_and_line(X2,X1))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f40])).
% 0.21/0.41 fof(f42,plain,(
% 0.21/0.41 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.21/0.41 fof(f43,plain,(
% 0.21/0.41 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.21/0.41 inference(miniscoping,[status(esa)],[f42])).
% 0.21/0.41 fof(f44,plain,(
% 0.21/0.41 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f43])).
% 0.21/0.41 fof(f48,plain,(
% 0.21/0.41 (?[X,Y,Z]: (distinct_points(X,Y)&(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(Y,line_connecting(X,Z)))))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.21/0.41 fof(f49,plain,(
% 0.21/0.41 ?[X,Y]: (distinct_points(X,Y)&(?[Z]: (apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(Y,line_connecting(X,Z)))))),
% 0.21/0.41 inference(miniscoping,[status(esa)],[f48])).
% 0.21/0.41 fof(f50,plain,(
% 0.21/0.41 (distinct_points(sk0_0,sk0_1)&(apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))&~apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_2))))),
% 0.21/0.41 inference(skolemization,[status(esa)],[f49])).
% 0.21/0.41 fof(f51,plain,(
% 0.21/0.41 distinct_points(sk0_0,sk0_1)),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f50])).
% 0.21/0.41 fof(f52,plain,(
% 0.21/0.41 apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f50])).
% 0.21/0.41 fof(f53,plain,(
% 0.21/0.41 ~apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_2))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f50])).
% 0.21/0.41 fof(f54,plain,(
% 0.21/0.41 ![X0,X1]: (~distinct_points(X0,X1)|distinct_points(X1,X0))),
% 0.21/0.41 inference(resolution,[status(thm)],[f22,f17])).
% 0.21/0.41 fof(f56,plain,(
% 0.21/0.41 ![X0,X1]: (~distinct_lines(X0,X1)|distinct_lines(X1,X0))),
% 0.21/0.41 inference(resolution,[status(thm)],[f25,f18])).
% 0.21/0.41 fof(f61,plain,(
% 0.21/0.41 ![X0,X1]: (~distinct_points(sk0_1,X0)|~distinct_lines(line_connecting(sk0_0,sk0_2),X1)|apart_point_and_line(sk0_1,X1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X0,X1))),
% 0.21/0.41 inference(resolution,[status(thm)],[f38,f53])).
% 0.21/0.41 fof(f72,plain,(
% 0.21/0.41 ![X0,X1]: (~distinct_points(sk0_1,X0)|~distinct_lines(line_connecting(sk0_0,sk0_2),line_connecting(X1,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X0,line_connecting(X1,sk0_1))|~distinct_points(X1,sk0_1))),
% 0.21/0.41 inference(resolution,[status(thm)],[f61,f32])).
% 0.21/0.41 fof(f195,plain,(
% 0.21/0.41 spl0_8 <=> distinct_points(sk0_0,sk0_2)),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f197,plain,(
% 0.21/0.41 ~distinct_points(sk0_0,sk0_2)|spl0_8),
% 0.21/0.41 inference(component_clause,[status(thm)],[f195])).
% 0.21/0.41 fof(f200,plain,(
% 0.21/0.41 spl0_9 <=> distinct_points(sk0_1,sk0_0)),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f202,plain,(
% 0.21/0.41 ~distinct_points(sk0_1,sk0_0)|spl0_9),
% 0.21/0.41 inference(component_clause,[status(thm)],[f200])).
% 0.21/0.41 fof(f203,plain,(
% 0.21/0.41 spl0_10 <=> ~distinct_lines(line_connecting(sk0_0,sk0_2),line_connecting(X0,sk0_1))|apart_point_and_line(sk0_0,line_connecting(X0,sk0_1))|~distinct_points(X0,sk0_1)),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f204,plain,(
% 0.21/0.41 ![X0]: (~distinct_lines(line_connecting(sk0_0,sk0_2),line_connecting(X0,sk0_1))|apart_point_and_line(sk0_0,line_connecting(X0,sk0_1))|~distinct_points(X0,sk0_1)|~spl0_10)),
% 0.21/0.41 inference(component_clause,[status(thm)],[f203])).
% 0.21/0.41 fof(f206,plain,(
% 0.21/0.41 ![X0]: (~distinct_points(sk0_1,sk0_0)|~distinct_lines(line_connecting(sk0_0,sk0_2),line_connecting(X0,sk0_1))|apart_point_and_line(sk0_0,line_connecting(X0,sk0_1))|~distinct_points(X0,sk0_1)|~distinct_points(sk0_0,sk0_2))),
% 0.21/0.42 inference(resolution,[status(thm)],[f72,f30])).
% 0.21/0.42 fof(f207,plain,(
% 0.21/0.42 ~spl0_9|spl0_10|~spl0_8),
% 0.21/0.42 inference(split_clause,[status(thm)],[f206,f200,f203,f195])).
% 0.21/0.42 fof(f209,plain,(
% 0.21/0.42 ~distinct_points(sk0_0,sk0_1)|spl0_9),
% 0.21/0.42 inference(resolution,[status(thm)],[f202,f54])).
% 0.21/0.42 fof(f210,plain,(
% 0.21/0.42 $false|spl0_9),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f209,f51])).
% 0.21/0.42 fof(f211,plain,(
% 0.21/0.42 spl0_9),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f210])).
% 0.21/0.42 fof(f213,plain,(
% 0.21/0.42 ~distinct_points(sk0_2,sk0_0)|spl0_8),
% 0.21/0.42 inference(resolution,[status(thm)],[f197,f54])).
% 0.21/0.42 fof(f217,plain,(
% 0.21/0.42 ![X0]: (~apart_point_and_line(sk0_2,X0)|apart_point_and_line(sk0_0,X0)|spl0_8)),
% 0.21/0.42 inference(resolution,[status(thm)],[f213,f41])).
% 0.21/0.42 fof(f223,plain,(
% 0.21/0.42 ![X0]: (~apart_point_and_line(sk0_2,line_connecting(sk0_0,X0))|~distinct_points(sk0_0,X0)|spl0_8)),
% 0.21/0.42 inference(resolution,[status(thm)],[f217,f30])).
% 0.21/0.42 fof(f243,plain,(
% 0.21/0.42 ~distinct_points(sk0_0,sk0_1)|spl0_8),
% 0.21/0.42 inference(resolution,[status(thm)],[f223,f52])).
% 0.21/0.42 fof(f244,plain,(
% 0.21/0.42 $false|spl0_8),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f243,f51])).
% 0.21/0.42 fof(f245,plain,(
% 0.21/0.42 spl0_8),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f244])).
% 0.21/0.42 fof(f249,plain,(
% 0.21/0.42 spl0_11 <=> distinct_lines(line_connecting(sk0_0,sk0_2),line_connecting(sk0_0,sk0_1))),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f251,plain,(
% 0.21/0.42 ~distinct_lines(line_connecting(sk0_0,sk0_2),line_connecting(sk0_0,sk0_1))|spl0_11),
% 0.21/0.42 inference(component_clause,[status(thm)],[f249])).
% 0.21/0.42 fof(f252,plain,(
% 0.21/0.42 spl0_12 <=> distinct_points(sk0_0,sk0_1)),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f254,plain,(
% 0.21/0.42 ~distinct_points(sk0_0,sk0_1)|spl0_12),
% 0.21/0.42 inference(component_clause,[status(thm)],[f252])).
% 0.21/0.42 fof(f255,plain,(
% 0.21/0.42 ~distinct_lines(line_connecting(sk0_0,sk0_2),line_connecting(sk0_0,sk0_1))|~distinct_points(sk0_0,sk0_1)|~distinct_points(sk0_0,sk0_1)|~spl0_10),
% 0.21/0.42 inference(resolution,[status(thm)],[f204,f30])).
% 0.21/0.42 fof(f256,plain,(
% 0.21/0.42 ~spl0_11|~spl0_12|~spl0_10),
% 0.21/0.42 inference(split_clause,[status(thm)],[f255,f249,f252,f203])).
% 0.21/0.42 fof(f271,plain,(
% 0.21/0.42 ~distinct_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_0,sk0_2))|spl0_11),
% 0.21/0.42 inference(resolution,[status(thm)],[f251,f56])).
% 0.21/0.42 fof(f274,plain,(
% 0.21/0.42 ![X0]: (~apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_2))|spl0_11)),
% 0.21/0.42 inference(resolution,[status(thm)],[f271,f44])).
% 0.21/0.42 fof(f291,plain,(
% 0.21/0.42 $false|spl0_12),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f254,f51])).
% 0.21/0.42 fof(f292,plain,(
% 0.21/0.42 spl0_12),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f291])).
% 0.21/0.42 fof(f306,plain,(
% 0.21/0.42 spl0_15 <=> apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.21/0.42 introduced(split_symbol_definition)).
% 0.21/0.42 fof(f308,plain,(
% 0.21/0.42 ~apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))|spl0_15),
% 0.21/0.42 inference(component_clause,[status(thm)],[f306])).
% 0.21/0.42 fof(f309,plain,(
% 0.21/0.42 ~apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))|~distinct_points(sk0_0,sk0_2)|spl0_11),
% 0.21/0.42 inference(resolution,[status(thm)],[f274,f32])).
% 0.21/0.42 fof(f310,plain,(
% 0.21/0.42 ~spl0_15|~spl0_8|spl0_11),
% 0.21/0.42 inference(split_clause,[status(thm)],[f309,f306,f195,f249])).
% 0.21/0.42 fof(f316,plain,(
% 0.21/0.42 $false|spl0_15),
% 0.21/0.42 inference(forward_subsumption_resolution,[status(thm)],[f308,f52])).
% 0.21/0.42 fof(f317,plain,(
% 0.21/0.42 spl0_15),
% 0.21/0.42 inference(contradiction_clause,[status(thm)],[f316])).
% 0.21/0.42 fof(f318,plain,(
% 0.21/0.42 $false),
% 0.21/0.42 inference(sat_refutation,[status(thm)],[f207,f211,f245,f256,f292,f310,f317])).
% 0.21/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.43 % Elapsed time: 0.076382 seconds
% 0.21/0.43 % CPU time: 0.514345 seconds
% 0.21/0.43 % Total memory used: 13.962 MB
% 0.21/0.43 % Net memory used: 13.392 MB
%------------------------------------------------------------------------------