TSTP Solution File: GEO173+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO173+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:17:17 EDT 2024
% Result : Theorem 0.20s 0.38s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GEO173+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.36 % Computer : n014.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Apr 30 01:26:34 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.20/0.38 % Refutation found
% 0.20/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.38 fof(f1,axiom,(
% 0.20/0.38 (! [X] : ~ distinct_points(X,X) )),
% 0.20/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.38 fof(f7,axiom,(
% 0.20/0.38 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> ( distinct_points(Z,X)& distinct_points(Z,Y) ) ) ) )),
% 0.20/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.38 fof(f9,axiom,(
% 0.20/0.38 (! [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) ) ) )),
% 0.20/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.38 fof(f13,conjecture,(
% 0.20/0.38 (! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& distinct_lines(U,line_connecting(X,Y)) )=> ( apart_point_and_line(X,U)| apart_point_and_line(Y,U) ) ) )),
% 0.20/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.38 fof(f14,negated_conjecture,(
% 0.20/0.38 ~((! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& distinct_lines(U,line_connecting(X,Y)) )=> ( apart_point_and_line(X,U)| apart_point_and_line(Y,U) ) ) ))),
% 0.20/0.38 inference(negated_conjecture,[status(cth)],[f13])).
% 0.20/0.38 fof(f15,plain,(
% 0.20/0.38 ![X0]: (~distinct_points(X0,X0))),
% 0.20/0.38 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.38 fof(f27,plain,(
% 0.20/0.38 ![X,Y,Z]: (~distinct_points(X,Y)|(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))),
% 0.20/0.38 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.20/0.38 fof(f28,plain,(
% 0.20/0.38 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y)))))),
% 0.20/0.38 inference(miniscoping,[status(esa)],[f27])).
% 0.20/0.38 fof(f29,plain,(
% 0.20/0.38 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X0))),
% 0.20/0.38 inference(cnf_transformation,[status(esa)],[f28])).
% 0.20/0.38 fof(f30,plain,(
% 0.20/0.38 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X1))),
% 0.20/0.38 inference(cnf_transformation,[status(esa)],[f28])).
% 0.20/0.38 fof(f35,plain,(
% 0.20/0.38 ![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)))),
% 0.20/0.38 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.20/0.38 fof(f36,plain,(
% 0.20/0.38 ![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))),
% 0.20/0.38 inference(cnf_transformation,[status(esa)],[f35])).
% 0.20/0.38 fof(f45,plain,(
% 0.20/0.38 (?[X,Y,U,V]: (((distinct_points(X,Y)&convergent_lines(U,V))&distinct_lines(U,line_connecting(X,Y)))&(~apart_point_and_line(X,U)&~apart_point_and_line(Y,U))))),
% 0.20/0.38 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.20/0.38 fof(f46,plain,(
% 0.20/0.38 ?[X,Y,U]: (((distinct_points(X,Y)&(?[V]: convergent_lines(U,V)))&distinct_lines(U,line_connecting(X,Y)))&(~apart_point_and_line(X,U)&~apart_point_and_line(Y,U)))),
% 0.20/0.38 inference(miniscoping,[status(esa)],[f45])).
% 0.20/0.38 fof(f47,plain,(
% 0.20/0.38 (((distinct_points(sk0_0,sk0_1)&convergent_lines(sk0_2,sk0_3))&distinct_lines(sk0_2,line_connecting(sk0_0,sk0_1)))&(~apart_point_and_line(sk0_0,sk0_2)&~apart_point_and_line(sk0_1,sk0_2)))),
% 0.20/0.38 inference(skolemization,[status(esa)],[f46])).
% 0.20/0.38 fof(f48,plain,(
% 0.20/0.38 distinct_points(sk0_0,sk0_1)),
% 0.20/0.38 inference(cnf_transformation,[status(esa)],[f47])).
% 0.20/0.38 fof(f50,plain,(
% 0.20/0.38 distinct_lines(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.20/0.38 inference(cnf_transformation,[status(esa)],[f47])).
% 0.20/0.38 fof(f51,plain,(
% 0.20/0.38 ~apart_point_and_line(sk0_0,sk0_2)),
% 0.20/0.38 inference(cnf_transformation,[status(esa)],[f47])).
% 0.20/0.38 fof(f52,plain,(
% 0.20/0.38 ~apart_point_and_line(sk0_1,sk0_2)),
% 0.20/0.38 inference(cnf_transformation,[status(esa)],[f47])).
% 0.20/0.38 fof(f85,plain,(
% 0.20/0.38 ![X0,X1]: (~distinct_lines(X0,X1)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_0,X1)|apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_1,X1))),
% 0.20/0.38 inference(resolution,[status(thm)],[f36,f48])).
% 0.20/0.38 fof(f108,plain,(
% 0.20/0.38 spl0_3 <=> apart_point_and_line(sk0_0,sk0_2)),
% 0.20/0.38 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f109,plain,(
% 0.20/0.39 apart_point_and_line(sk0_0,sk0_2)|~spl0_3),
% 0.20/0.39 inference(component_clause,[status(thm)],[f108])).
% 0.20/0.39 fof(f113,plain,(
% 0.20/0.39 spl0_4 <=> ~distinct_lines(sk0_2,X0)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_1,X0)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f114,plain,(
% 0.20/0.39 ![X0]: (~distinct_lines(sk0_2,X0)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_1,X0)|~spl0_4)),
% 0.20/0.39 inference(component_clause,[status(thm)],[f113])).
% 0.20/0.39 fof(f116,plain,(
% 0.20/0.39 ![X0]: (~distinct_lines(sk0_2,X0)|apart_point_and_line(sk0_0,sk0_2)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_1,X0))),
% 0.20/0.39 inference(resolution,[status(thm)],[f85,f52])).
% 0.20/0.39 fof(f117,plain,(
% 0.20/0.39 spl0_4|spl0_3),
% 0.20/0.39 inference(split_clause,[status(thm)],[f116,f113,f108])).
% 0.20/0.39 fof(f146,plain,(
% 0.20/0.39 $false|~spl0_3),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f109,f51])).
% 0.20/0.39 fof(f147,plain,(
% 0.20/0.39 ~spl0_3),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f146])).
% 0.20/0.39 fof(f172,plain,(
% 0.20/0.39 spl0_7 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f173,plain,(
% 0.20/0.39 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_7),
% 0.20/0.39 inference(component_clause,[status(thm)],[f172])).
% 0.20/0.39 fof(f175,plain,(
% 0.20/0.39 spl0_8 <=> apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f176,plain,(
% 0.20/0.39 apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_8),
% 0.20/0.39 inference(component_clause,[status(thm)],[f175])).
% 0.20/0.39 fof(f178,plain,(
% 0.20/0.39 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_4),
% 0.20/0.39 inference(resolution,[status(thm)],[f114,f50])).
% 0.20/0.39 fof(f179,plain,(
% 0.20/0.39 spl0_7|spl0_8|~spl0_4),
% 0.20/0.39 inference(split_clause,[status(thm)],[f178,f172,f175,f113])).
% 0.20/0.39 fof(f192,plain,(
% 0.20/0.39 spl0_10 <=> distinct_points(sk0_0,sk0_1)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f194,plain,(
% 0.20/0.39 ~distinct_points(sk0_0,sk0_1)|spl0_10),
% 0.20/0.39 inference(component_clause,[status(thm)],[f192])).
% 0.20/0.39 fof(f197,plain,(
% 0.20/0.39 spl0_11 <=> distinct_points(sk0_0,sk0_0)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f198,plain,(
% 0.20/0.39 distinct_points(sk0_0,sk0_0)|~spl0_11),
% 0.20/0.39 inference(component_clause,[status(thm)],[f197])).
% 0.20/0.39 fof(f200,plain,(
% 0.20/0.39 ~distinct_points(sk0_0,sk0_1)|distinct_points(sk0_0,sk0_0)|~spl0_7),
% 0.20/0.39 inference(resolution,[status(thm)],[f173,f29])).
% 0.20/0.39 fof(f201,plain,(
% 0.20/0.39 ~spl0_10|spl0_11|~spl0_7),
% 0.20/0.39 inference(split_clause,[status(thm)],[f200,f192,f197,f172])).
% 0.20/0.39 fof(f206,plain,(
% 0.20/0.39 $false|spl0_10),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f194,f48])).
% 0.20/0.39 fof(f207,plain,(
% 0.20/0.39 spl0_10),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f206])).
% 0.20/0.39 fof(f208,plain,(
% 0.20/0.39 $false|~spl0_11),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f198,f15])).
% 0.20/0.39 fof(f209,plain,(
% 0.20/0.39 ~spl0_11),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f208])).
% 0.20/0.39 fof(f214,plain,(
% 0.20/0.39 spl0_12 <=> distinct_points(sk0_1,sk0_1)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f215,plain,(
% 0.20/0.39 distinct_points(sk0_1,sk0_1)|~spl0_12),
% 0.20/0.39 inference(component_clause,[status(thm)],[f214])).
% 0.20/0.39 fof(f217,plain,(
% 0.20/0.39 ~distinct_points(sk0_0,sk0_1)|distinct_points(sk0_1,sk0_1)|~spl0_8),
% 0.20/0.39 inference(resolution,[status(thm)],[f176,f30])).
% 0.20/0.39 fof(f218,plain,(
% 0.20/0.39 ~spl0_10|spl0_12|~spl0_8),
% 0.20/0.39 inference(split_clause,[status(thm)],[f217,f192,f214,f175])).
% 0.20/0.39 fof(f228,plain,(
% 0.20/0.39 $false|~spl0_12),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f215,f15])).
% 0.20/0.39 fof(f229,plain,(
% 0.20/0.39 ~spl0_12),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f228])).
% 0.20/0.39 fof(f230,plain,(
% 0.20/0.39 $false),
% 0.20/0.39 inference(sat_refutation,[status(thm)],[f117,f147,f179,f201,f207,f209,f218,f229])).
% 0.20/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.39 % Elapsed time: 0.024051 seconds
% 0.20/0.39 % CPU time: 0.078112 seconds
% 0.20/0.39 % Total memory used: 4.482 MB
% 0.20/0.39 % Net memory used: 4.258 MB
%------------------------------------------------------------------------------