TSTP Solution File: GEO173+3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO173+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 0.09s 0.33s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO173+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n015.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Apr 30 01:57:03 EDT 2024
% 0.09/0.32 % CPUTime :
% 0.09/0.32 % Drodi V3.6.0
% 0.09/0.33 % Refutation found
% 0.09/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.33 fof(f7,axiom,(
% 0.09/0.33 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f8,axiom,(
% 0.09/0.33 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f11,axiom,(
% 0.09/0.33 (! [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) ) ) )),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f36,conjecture,(
% 0.09/0.33 (! [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) ) ) )),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f37,negated_conjecture,(
% 0.09/0.33 ~((! [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) ) ) ))),
% 0.09/0.33 inference(negated_conjecture,[status(cth)],[f36])).
% 0.09/0.33 fof(f50,plain,(
% 0.09/0.33 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.09/0.33 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.09/0.33 fof(f51,plain,(
% 0.09/0.33 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f50])).
% 0.09/0.33 fof(f52,plain,(
% 0.09/0.33 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.09/0.33 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.09/0.33 fof(f53,plain,(
% 0.09/0.33 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f52])).
% 0.09/0.33 fof(f58,plain,(
% 0.09/0.33 ![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)))),
% 0.09/0.33 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.09/0.33 fof(f59,plain,(
% 0.09/0.33 ![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))),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f58])).
% 0.09/0.33 fof(f127,plain,(
% 0.09/0.33 (?[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))))),
% 0.09/0.33 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.09/0.33 fof(f128,plain,(
% 0.09/0.33 ?[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)))),
% 0.09/0.33 inference(miniscoping,[status(esa)],[f127])).
% 0.09/0.33 fof(f129,plain,(
% 0.09/0.33 (((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)))),
% 0.09/0.33 inference(skolemization,[status(esa)],[f128])).
% 0.09/0.33 fof(f130,plain,(
% 0.09/0.33 distinct_points(sk0_0,sk0_1)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f129])).
% 0.09/0.33 fof(f132,plain,(
% 0.09/0.33 distinct_lines(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f129])).
% 0.09/0.33 fof(f133,plain,(
% 0.09/0.33 ~apart_point_and_line(sk0_0,sk0_2)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f129])).
% 0.09/0.33 fof(f134,plain,(
% 0.09/0.33 ~apart_point_and_line(sk0_1,sk0_2)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f129])).
% 0.09/0.33 fof(f149,plain,(
% 0.09/0.33 ![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)))),
% 0.09/0.33 inference(resolution,[status(thm)],[f59,f132])).
% 0.09/0.33 fof(f185,plain,(
% 0.09/0.33 spl0_0 <=> ~distinct_points(X0,sk0_1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f186,plain,(
% 0.09/0.33 ![X0]: (~distinct_points(X0,sk0_1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|~spl0_0)),
% 0.09/0.34 inference(component_clause,[status(thm)],[f185])).
% 0.09/0.34 fof(f188,plain,(
% 0.09/0.34 spl0_1 <=> apart_point_and_line(sk0_1,sk0_2)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f189,plain,(
% 0.09/0.34 apart_point_and_line(sk0_1,sk0_2)|~spl0_1),
% 0.09/0.34 inference(component_clause,[status(thm)],[f188])).
% 0.09/0.34 fof(f191,plain,(
% 0.09/0.34 spl0_2 <=> distinct_points(sk0_0,sk0_1)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f193,plain,(
% 0.09/0.34 ~distinct_points(sk0_0,sk0_1)|spl0_2),
% 0.09/0.34 inference(component_clause,[status(thm)],[f191])).
% 0.09/0.34 fof(f194,plain,(
% 0.09/0.34 ![X0]: (~distinct_points(X0,sk0_1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_1,sk0_2)|~distinct_points(sk0_0,sk0_1))),
% 0.09/0.34 inference(resolution,[status(thm)],[f149,f53])).
% 0.09/0.34 fof(f195,plain,(
% 0.09/0.34 spl0_0|spl0_1|~spl0_2),
% 0.09/0.34 inference(split_clause,[status(thm)],[f194,f185,f188,f191])).
% 0.09/0.34 fof(f199,plain,(
% 0.09/0.34 spl0_4 <=> apart_point_and_line(sk0_0,sk0_2)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f200,plain,(
% 0.09/0.34 apart_point_and_line(sk0_0,sk0_2)|~spl0_4),
% 0.09/0.34 inference(component_clause,[status(thm)],[f199])).
% 0.09/0.34 fof(f206,plain,(
% 0.09/0.34 $false|spl0_2),
% 0.09/0.34 inference(forward_subsumption_resolution,[status(thm)],[f193,f130])).
% 0.09/0.34 fof(f207,plain,(
% 0.09/0.34 spl0_2),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f206])).
% 0.09/0.34 fof(f215,plain,(
% 0.09/0.34 ~distinct_points(sk0_0,sk0_1)|apart_point_and_line(sk0_0,sk0_2)|~distinct_points(sk0_0,sk0_1)|~spl0_0),
% 0.09/0.34 inference(resolution,[status(thm)],[f186,f51])).
% 0.09/0.34 fof(f216,plain,(
% 0.09/0.34 ~spl0_2|spl0_4|~spl0_0),
% 0.09/0.34 inference(split_clause,[status(thm)],[f215,f191,f199,f185])).
% 0.09/0.34 fof(f219,plain,(
% 0.09/0.34 $false|~spl0_4),
% 0.09/0.34 inference(forward_subsumption_resolution,[status(thm)],[f200,f133])).
% 0.09/0.34 fof(f220,plain,(
% 0.09/0.34 ~spl0_4),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f219])).
% 0.09/0.34 fof(f221,plain,(
% 0.09/0.34 $false|~spl0_1),
% 0.09/0.34 inference(forward_subsumption_resolution,[status(thm)],[f189,f134])).
% 0.09/0.34 fof(f222,plain,(
% 0.09/0.34 ~spl0_1),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f221])).
% 0.09/0.34 fof(f223,plain,(
% 0.09/0.34 $false),
% 0.09/0.34 inference(sat_refutation,[status(thm)],[f195,f207,f216,f220,f222])).
% 0.09/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.34 % Elapsed time: 0.022412 seconds
% 0.09/0.34 % CPU time: 0.058120 seconds
% 0.09/0.34 % Total memory used: 3.768 MB
% 0.09/0.34 % Net memory used: 3.715 MB
%------------------------------------------------------------------------------