TSTP Solution File: GEO203+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO203+2 : 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 20:17:30 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO203+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 02:02:40 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f1,axiom,(
% 0.13/0.36 (! [X] : ~ distinct_points(X,X) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f7,axiom,(
% 0.13/0.36 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> ( distinct_points(Z,X)& distinct_points(Z,Y) ) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f8,axiom,(
% 0.13/0.36 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( ( apart_point_and_line(Z,X)| apart_point_and_line(Z,Y) )=> distinct_points(Z,intersection_point(X,Y)) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f9,axiom,(
% 0.13/0.36 (! [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) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f13,conjecture,(
% 0.13/0.36 (! [X,Y,Z] :( ( convergent_lines(X,Y)& convergent_lines(X,Z)& distinct_points(intersection_point(X,Y),intersection_point(X,Z)) )=> ~ distinct_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f14,negated_conjecture,(
% 0.13/0.36 ~((! [X,Y,Z] :( ( convergent_lines(X,Y)& convergent_lines(X,Z)& distinct_points(intersection_point(X,Y),intersection_point(X,Z)) )=> ~ distinct_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X) ) ))),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f13])).
% 0.13/0.36 fof(f15,plain,(
% 0.13/0.36 ![X0]: (~distinct_points(X0,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.36 fof(f27,plain,(
% 0.13/0.36 ![X,Y,Z]: (~distinct_points(X,Y)|(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.13/0.36 fof(f28,plain,(
% 0.13/0.36 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y)))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f27])).
% 0.13/0.36 fof(f29,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.36 fof(f30,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.36 fof(f31,plain,(
% 0.13/0.36 ![X,Y,Z]: (~convergent_lines(X,Y)|((~apart_point_and_line(Z,X)&~apart_point_and_line(Z,Y))|distinct_points(Z,intersection_point(X,Y))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.13/0.36 fof(f32,plain,(
% 0.13/0.36 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: ((~apart_point_and_line(Z,X)&~apart_point_and_line(Z,Y))|distinct_points(Z,intersection_point(X,Y)))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f31])).
% 0.13/0.36 fof(f33,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X0)|distinct_points(X2,intersection_point(X0,X1)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f32])).
% 0.13/0.36 fof(f35,plain,(
% 0.13/0.36 ![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)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.13/0.36 fof(f36,plain,(
% 0.13/0.36 ![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))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f35])).
% 0.13/0.36 fof(f45,plain,(
% 0.13/0.36 (?[X,Y,Z]: (((convergent_lines(X,Y)&convergent_lines(X,Z))&distinct_points(intersection_point(X,Y),intersection_point(X,Z)))&distinct_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.13/0.36 fof(f46,plain,(
% 0.13/0.36 (((convergent_lines(sk0_0,sk0_1)&convergent_lines(sk0_0,sk0_2))&distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2)))&distinct_lines(line_connecting(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2)),sk0_0))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f45])).
% 0.13/0.36 fof(f47,plain,(
% 0.13/0.36 convergent_lines(sk0_0,sk0_1)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.36 fof(f48,plain,(
% 0.13/0.36 convergent_lines(sk0_0,sk0_2)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.36 fof(f49,plain,(
% 0.13/0.36 distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.36 fof(f50,plain,(
% 0.13/0.36 distinct_lines(line_connecting(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2)),sk0_0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.36 fof(f58,plain,(
% 0.13/0.36 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.13/0.36 inference(resolution,[status(thm)],[f29,f15])).
% 0.13/0.36 fof(f66,plain,(
% 0.13/0.36 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.13/0.36 inference(resolution,[status(thm)],[f30,f15])).
% 0.13/0.36 fof(f67,plain,(
% 0.13/0.36 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f33,f15])).
% 0.13/0.36 fof(f75,plain,(
% 0.13/0.36 ~apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f67,f48])).
% 0.13/0.36 fof(f76,plain,(
% 0.13/0.36 ~apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f67,f47])).
% 0.13/0.36 fof(f89,plain,(
% 0.13/0.36 ![X0,X1]: (~distinct_points(X0,intersection_point(sk0_0,sk0_2))|~distinct_lines(X1,sk0_0)|apart_point_and_line(X0,X1)|apart_point_and_line(X0,sk0_0)|apart_point_and_line(intersection_point(sk0_0,sk0_2),X1))),
% 0.13/0.36 inference(resolution,[status(thm)],[f75,f36])).
% 0.13/0.36 fof(f115,plain,(
% 0.13/0.36 spl0_5 <=> distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f117,plain,(
% 0.13/0.36 ~distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))|spl0_5),
% 0.13/0.36 inference(component_clause,[status(thm)],[f115])).
% 0.13/0.36 fof(f118,plain,(
% 0.13/0.36 spl0_6 <=> ~distinct_lines(X0,sk0_0)|apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)|apart_point_and_line(intersection_point(sk0_0,sk0_2),X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f119,plain,(
% 0.13/0.36 ![X0]: (~distinct_lines(X0,sk0_0)|apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)|apart_point_and_line(intersection_point(sk0_0,sk0_2),X0)|~spl0_6)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f118])).
% 0.13/0.36 fof(f121,plain,(
% 0.13/0.36 ![X0]: (~distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))|~distinct_lines(X0,sk0_0)|apart_point_and_line(intersection_point(sk0_0,sk0_1),X0)|apart_point_and_line(intersection_point(sk0_0,sk0_2),X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f89,f76])).
% 0.13/0.36 fof(f122,plain,(
% 0.13/0.36 ~spl0_5|spl0_6),
% 0.13/0.36 inference(split_clause,[status(thm)],[f121,f115,f118])).
% 0.13/0.36 fof(f128,plain,(
% 0.13/0.36 $false|spl0_5),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f117,f49])).
% 0.13/0.36 fof(f129,plain,(
% 0.13/0.36 spl0_5),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f128])).
% 0.13/0.36 fof(f132,plain,(
% 0.13/0.36 ![X0]: (~distinct_lines(line_connecting(X0,intersection_point(sk0_0,sk0_2)),sk0_0)|apart_point_and_line(intersection_point(sk0_0,sk0_1),line_connecting(X0,intersection_point(sk0_0,sk0_2)))|~distinct_points(X0,intersection_point(sk0_0,sk0_2))|~spl0_6)),
% 0.13/0.36 inference(resolution,[status(thm)],[f119,f66])).
% 0.13/0.36 fof(f173,plain,(
% 0.13/0.36 spl0_13 <=> distinct_lines(line_connecting(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2)),sk0_0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f175,plain,(
% 0.13/0.36 ~distinct_lines(line_connecting(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2)),sk0_0)|spl0_13),
% 0.13/0.36 inference(component_clause,[status(thm)],[f173])).
% 0.13/0.36 fof(f176,plain,(
% 0.13/0.36 ~distinct_lines(line_connecting(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2)),sk0_0)|~distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))|~distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))|~spl0_6),
% 0.13/0.36 inference(resolution,[status(thm)],[f132,f58])).
% 0.13/0.36 fof(f177,plain,(
% 0.13/0.36 ~spl0_13|~spl0_5|~spl0_6),
% 0.13/0.36 inference(split_clause,[status(thm)],[f176,f173,f115,f118])).
% 0.13/0.36 fof(f178,plain,(
% 0.13/0.36 $false|spl0_13),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f175,f50])).
% 0.13/0.36 fof(f179,plain,(
% 0.13/0.36 spl0_13),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f178])).
% 0.13/0.36 fof(f180,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f122,f129,f177,f179])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.020117 seconds
% 0.13/0.37 % CPU time: 0.064438 seconds
% 0.13/0.37 % Total memory used: 2.800 MB
% 0.13/0.37 % Net memory used: 2.750 MB
%------------------------------------------------------------------------------