TSTP Solution File: GEO170+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO170+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:17:16 EDT 2024
% Result : Theorem 0.15s 0.31s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO170+2 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n008.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 01:30:12 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.6.0
% 0.15/0.31 % Refutation found
% 0.15/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.31 fof(f1,axiom,(
% 0.15/0.31 (! [X] : ~ distinct_points(X,X) )),
% 0.15/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f7,axiom,(
% 0.15/0.31 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> ( distinct_points(Z,X)& distinct_points(Z,Y) ) ) ) )),
% 0.15/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f9,axiom,(
% 0.15/0.31 (! [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) ) ) )),
% 0.15/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f13,conjecture,(
% 0.15/0.31 (! [X,Y,Z] :( ( distinct_points(X,Y)& ~ apart_point_and_line(X,Z)& ~ apart_point_and_line(Y,Z) )=> ~ distinct_lines(Z,line_connecting(X,Y)) ) )),
% 0.15/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f14,negated_conjecture,(
% 0.15/0.31 ~((! [X,Y,Z] :( ( distinct_points(X,Y)& ~ apart_point_and_line(X,Z)& ~ apart_point_and_line(Y,Z) )=> ~ distinct_lines(Z,line_connecting(X,Y)) ) ))),
% 0.15/0.31 inference(negated_conjecture,[status(cth)],[f13])).
% 0.15/0.31 fof(f15,plain,(
% 0.15/0.31 ![X0]: (~distinct_points(X0,X0))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.31 fof(f27,plain,(
% 0.15/0.31 ![X,Y,Z]: (~distinct_points(X,Y)|(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))),
% 0.15/0.31 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.15/0.31 fof(f28,plain,(
% 0.15/0.31 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y)))))),
% 0.15/0.31 inference(miniscoping,[status(esa)],[f27])).
% 0.15/0.31 fof(f29,plain,(
% 0.15/0.31 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X0))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f28])).
% 0.15/0.31 fof(f30,plain,(
% 0.15/0.31 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X1))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f28])).
% 0.15/0.31 fof(f35,plain,(
% 0.15/0.31 ![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)))),
% 0.15/0.31 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.15/0.31 fof(f36,plain,(
% 0.15/0.31 ![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))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f35])).
% 0.15/0.31 fof(f45,plain,(
% 0.15/0.31 (?[X,Y,Z]: (((distinct_points(X,Y)&~apart_point_and_line(X,Z))&~apart_point_and_line(Y,Z))&distinct_lines(Z,line_connecting(X,Y))))),
% 0.15/0.31 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.15/0.31 fof(f46,plain,(
% 0.15/0.31 (((distinct_points(sk0_0,sk0_1)&~apart_point_and_line(sk0_0,sk0_2))&~apart_point_and_line(sk0_1,sk0_2))&distinct_lines(sk0_2,line_connecting(sk0_0,sk0_1)))),
% 0.15/0.31 inference(skolemization,[status(esa)],[f45])).
% 0.15/0.31 fof(f47,plain,(
% 0.15/0.31 distinct_points(sk0_0,sk0_1)),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f46])).
% 0.15/0.31 fof(f48,plain,(
% 0.15/0.31 ~apart_point_and_line(sk0_0,sk0_2)),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f46])).
% 0.15/0.31 fof(f49,plain,(
% 0.15/0.31 ~apart_point_and_line(sk0_1,sk0_2)),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f46])).
% 0.15/0.31 fof(f50,plain,(
% 0.15/0.31 distinct_lines(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f46])).
% 0.15/0.31 fof(f66,plain,(
% 0.15/0.31 ![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)))),
% 0.15/0.31 inference(resolution,[status(thm)],[f36,f50])).
% 0.15/0.31 fof(f86,plain,(
% 0.15/0.31 spl0_0 <=> ~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)|distinct_points(X1,sk0_1)),
% 0.15/0.31 introduced(split_symbol_definition)).
% 0.15/0.31 fof(f87,plain,(
% 0.15/0.31 ![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)|distinct_points(X1,sk0_1)|~spl0_0)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f86])).
% 0.15/0.32 fof(f89,plain,(
% 0.15/0.32 spl0_1 <=> distinct_points(sk0_0,sk0_1)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f91,plain,(
% 0.15/0.32 ~distinct_points(sk0_0,sk0_1)|spl0_1),
% 0.15/0.32 inference(component_clause,[status(thm)],[f89])).
% 0.15/0.32 fof(f92,plain,(
% 0.15/0.32 ![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)|~distinct_points(sk0_0,sk0_1)|distinct_points(X1,sk0_1))),
% 0.15/0.32 inference(resolution,[status(thm)],[f66,f30])).
% 0.15/0.32 fof(f93,plain,(
% 0.15/0.32 spl0_0|~spl0_1),
% 0.15/0.32 inference(split_clause,[status(thm)],[f92,f86,f89])).
% 0.15/0.32 fof(f101,plain,(
% 0.15/0.32 $false|spl0_1),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f91,f47])).
% 0.15/0.32 fof(f102,plain,(
% 0.15/0.32 spl0_1),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f101])).
% 0.15/0.32 fof(f114,plain,(
% 0.15/0.32 spl0_4 <=> ~distinct_points(X0,X1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X1,sk0_2)|distinct_points(X1,sk0_1)|distinct_points(X0,sk0_0)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f115,plain,(
% 0.15/0.32 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X1,sk0_2)|distinct_points(X1,sk0_1)|distinct_points(X0,sk0_0)|~spl0_4)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f114])).
% 0.15/0.32 fof(f117,plain,(
% 0.15/0.32 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X1,sk0_2)|distinct_points(X1,sk0_1)|~distinct_points(sk0_0,sk0_1)|distinct_points(X0,sk0_0)|~spl0_0)),
% 0.15/0.32 inference(resolution,[status(thm)],[f87,f29])).
% 0.15/0.32 fof(f118,plain,(
% 0.15/0.32 spl0_4|~spl0_1|~spl0_0),
% 0.15/0.32 inference(split_clause,[status(thm)],[f117,f114,f89,f86])).
% 0.15/0.32 fof(f123,plain,(
% 0.15/0.32 spl0_5 <=> apart_point_and_line(sk0_1,sk0_2)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f124,plain,(
% 0.15/0.32 apart_point_and_line(sk0_1,sk0_2)|~spl0_5),
% 0.15/0.32 inference(component_clause,[status(thm)],[f123])).
% 0.15/0.32 fof(f126,plain,(
% 0.15/0.32 spl0_6 <=> apart_point_and_line(sk0_0,sk0_2)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f127,plain,(
% 0.15/0.32 apart_point_and_line(sk0_0,sk0_2)|~spl0_6),
% 0.15/0.32 inference(component_clause,[status(thm)],[f126])).
% 0.15/0.32 fof(f159,plain,(
% 0.15/0.32 spl0_13 <=> distinct_points(sk0_1,sk0_1)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f160,plain,(
% 0.15/0.32 distinct_points(sk0_1,sk0_1)|~spl0_13),
% 0.15/0.32 inference(component_clause,[status(thm)],[f159])).
% 0.15/0.32 fof(f162,plain,(
% 0.15/0.32 spl0_14 <=> distinct_points(sk0_0,sk0_0)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f163,plain,(
% 0.15/0.32 distinct_points(sk0_0,sk0_0)|~spl0_14),
% 0.15/0.32 inference(component_clause,[status(thm)],[f162])).
% 0.15/0.32 fof(f165,plain,(
% 0.15/0.32 apart_point_and_line(sk0_0,sk0_2)|apart_point_and_line(sk0_1,sk0_2)|distinct_points(sk0_1,sk0_1)|distinct_points(sk0_0,sk0_0)|~spl0_4),
% 0.15/0.32 inference(resolution,[status(thm)],[f115,f47])).
% 0.15/0.32 fof(f166,plain,(
% 0.15/0.32 spl0_6|spl0_5|spl0_13|spl0_14|~spl0_4),
% 0.15/0.32 inference(split_clause,[status(thm)],[f165,f126,f123,f159,f162,f114])).
% 0.15/0.32 fof(f199,plain,(
% 0.15/0.32 $false|~spl0_5),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f124,f49])).
% 0.15/0.32 fof(f200,plain,(
% 0.15/0.32 ~spl0_5),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f199])).
% 0.15/0.32 fof(f201,plain,(
% 0.15/0.32 $false|~spl0_6),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f127,f48])).
% 0.15/0.32 fof(f202,plain,(
% 0.15/0.32 ~spl0_6),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f201])).
% 0.15/0.32 fof(f203,plain,(
% 0.15/0.32 $false|~spl0_13),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f160,f15])).
% 0.15/0.32 fof(f204,plain,(
% 0.15/0.32 ~spl0_13),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f203])).
% 0.15/0.32 fof(f205,plain,(
% 0.15/0.32 $false|~spl0_14),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f163,f15])).
% 0.15/0.32 fof(f206,plain,(
% 0.15/0.32 ~spl0_14),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f205])).
% 0.15/0.32 fof(f207,plain,(
% 0.15/0.32 $false),
% 0.15/0.32 inference(sat_refutation,[status(thm)],[f93,f102,f118,f166,f200,f202,f204,f206])).
% 0.15/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.33 % Elapsed time: 0.016769 seconds
% 0.15/0.33 % CPU time: 0.059685 seconds
% 0.15/0.33 % Total memory used: 2.943 MB
% 0.15/0.33 % Net memory used: 2.883 MB
%------------------------------------------------------------------------------