TSTP Solution File: GEO202+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO202+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 : Wed May 31 12:08:15 EDT 2023
% Result : Theorem 0.13s 0.47s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : GEO202+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30 % Computer : n009.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Tue May 30 11:54:31 EDT 2023
% 0.08/0.30 % CPUTime :
% 0.08/0.31 % Drodi V3.5.1
% 0.13/0.47 % Refutation found
% 0.13/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.47 fof(f1,axiom,(
% 0.13/0.47 (! [X] : ~ distinct_points(X,X) )),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f3,axiom,(
% 0.13/0.47 (! [X] : ~ convergent_lines(X,X) )),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f4,axiom,(
% 0.13/0.47 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f7,axiom,(
% 0.13/0.47 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f9,axiom,(
% 0.13/0.47 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),X) ) )),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f10,axiom,(
% 0.13/0.47 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),Y) ) )),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f11,axiom,(
% 0.13/0.47 (! [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) ) ) )),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f14,axiom,(
% 0.13/0.47 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( distinct_lines(Y,Z)| convergent_lines(X,Z) ) ) )),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f15,conjecture,(
% 0.13/0.47 (! [X,Y,Z] :( ( distinct_points(X,Y)& distinct_points(X,Z)& convergent_lines(line_connecting(X,Y),line_connecting(X,Z)) )=> ~ distinct_points(intersection_point(line_connecting(X,Y),line_connecting(X,Z)),X) ) )),
% 0.13/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f16,negated_conjecture,(
% 0.13/0.47 ~((! [X,Y,Z] :( ( distinct_points(X,Y)& distinct_points(X,Z)& convergent_lines(line_connecting(X,Y),line_connecting(X,Z)) )=> ~ distinct_points(intersection_point(line_connecting(X,Y),line_connecting(X,Z)),X) ) ))),
% 0.13/0.47 inference(negated_conjecture,[status(cth)],[f15])).
% 0.13/0.47 fof(f17,plain,(
% 0.13/0.47 ![X0]: (~distinct_points(X0,X0))),
% 0.13/0.47 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.47 fof(f19,plain,(
% 0.13/0.47 ![X0]: (~convergent_lines(X0,X0))),
% 0.13/0.47 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.47 fof(f20,plain,(
% 0.13/0.47 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.13/0.47 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.47 fof(f21,plain,(
% 0.13/0.47 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.13/0.47 inference(miniscoping,[status(esa)],[f20])).
% 0.13/0.47 fof(f22,plain,(
% 0.13/0.47 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.13/0.47 inference(cnf_transformation,[status(esa)],[f21])).
% 0.13/0.47 fof(f29,plain,(
% 0.13/0.47 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.13/0.47 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.13/0.47 fof(f30,plain,(
% 0.13/0.47 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.13/0.47 inference(cnf_transformation,[status(esa)],[f29])).
% 0.13/0.47 fof(f33,plain,(
% 0.13/0.47 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X))),
% 0.13/0.47 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.13/0.47 fof(f34,plain,(
% 0.13/0.47 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.13/0.47 inference(cnf_transformation,[status(esa)],[f33])).
% 0.13/0.47 fof(f35,plain,(
% 0.13/0.47 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y))),
% 0.13/0.47 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.13/0.47 fof(f36,plain,(
% 0.13/0.47 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 0.13/0.47 inference(cnf_transformation,[status(esa)],[f35])).
% 0.13/0.47 fof(f37,plain,(
% 0.13/0.47 ![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)))),
% 0.13/0.47 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.13/0.47 fof(f38,plain,(
% 0.13/0.47 ![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))),
% 0.13/0.47 inference(cnf_transformation,[status(esa)],[f37])).
% 0.13/0.47 fof(f45,plain,(
% 0.13/0.47 ![X,Y,Z]: (~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))),
% 0.13/0.47 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.13/0.47 fof(f46,plain,(
% 0.13/0.47 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (distinct_lines(Y,Z)|convergent_lines(X,Z))))),
% 0.13/0.47 inference(miniscoping,[status(esa)],[f45])).
% 0.13/0.47 fof(f47,plain,(
% 0.13/0.47 ![X0,X1,X2]: (~convergent_lines(X0,X1)|distinct_lines(X1,X2)|convergent_lines(X0,X2))),
% 0.13/0.47 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.47 fof(f48,plain,(
% 0.13/0.47 (?[X,Y,Z]: (((distinct_points(X,Y)&distinct_points(X,Z))&convergent_lines(line_connecting(X,Y),line_connecting(X,Z)))&distinct_points(intersection_point(line_connecting(X,Y),line_connecting(X,Z)),X)))),
% 0.13/0.47 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.13/0.47 fof(f49,plain,(
% 0.13/0.47 (((distinct_points(sk0_0,sk0_1)&distinct_points(sk0_0,sk0_2))&convergent_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_0,sk0_2)))&distinct_points(intersection_point(line_connecting(sk0_0,sk0_1),line_connecting(sk0_0,sk0_2)),sk0_0))),
% 0.13/0.47 inference(skolemization,[status(esa)],[f48])).
% 0.13/0.47 fof(f50,plain,(
% 0.13/0.47 distinct_points(sk0_0,sk0_1)),
% 0.13/0.47 inference(cnf_transformation,[status(esa)],[f49])).
% 0.13/0.47 fof(f51,plain,(
% 0.13/0.47 distinct_points(sk0_0,sk0_2)),
% 0.13/0.47 inference(cnf_transformation,[status(esa)],[f49])).
% 0.13/0.47 fof(f52,plain,(
% 0.13/0.47 convergent_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_0,sk0_2))),
% 0.13/0.47 inference(cnf_transformation,[status(esa)],[f49])).
% 0.13/0.47 fof(f53,plain,(
% 0.13/0.47 distinct_points(intersection_point(line_connecting(sk0_0,sk0_1),line_connecting(sk0_0,sk0_2)),sk0_0)),
% 0.13/0.47 inference(cnf_transformation,[status(esa)],[f49])).
% 0.13/0.47 fof(f55,plain,(
% 0.13/0.47 ![X0]: (distinct_points(sk0_0,X0)|distinct_points(sk0_2,X0))),
% 0.13/0.47 inference(resolution,[status(thm)],[f22,f51])).
% 0.13/0.47 fof(f57,plain,(
% 0.13/0.47 ![X0,X1]: (distinct_points(sk0_0,X0)|distinct_points(sk0_2,X1)|distinct_points(X0,X1))),
% 0.13/0.47 inference(resolution,[status(thm)],[f55,f22])).
% 0.13/0.47 fof(f62,plain,(
% 0.13/0.47 ![X0,X1,X2]: (distinct_points(sk0_0,X0)|distinct_points(X0,X1)|distinct_points(sk0_2,X2)|distinct_points(X1,X2))),
% 0.13/0.47 inference(resolution,[status(thm)],[f57,f22])).
% 0.13/0.47 fof(f89,plain,(
% 0.13/0.47 ![X0,X1]: (distinct_points(sk0_0,X0)|distinct_points(X0,X1)|distinct_points(X1,sk0_2))),
% 0.13/0.47 inference(resolution,[status(thm)],[f62,f17])).
% 0.13/0.47 fof(f90,plain,(
% 0.13/0.47 ![X0,X1,X2]: (distinct_points(X0,X1)|distinct_points(X1,sk0_2)|distinct_points(sk0_0,X2)|distinct_points(X0,X2))),
% 0.13/0.47 inference(resolution,[status(thm)],[f89,f22])).
% 0.13/0.47 fof(f119,plain,(
% 0.13/0.47 spl0_0 <=> distinct_points(sk0_0,sk0_0)),
% 0.13/0.47 introduced(split_symbol_definition)).
% 0.13/0.47 fof(f120,plain,(
% 0.13/0.47 distinct_points(sk0_0,sk0_0)|~spl0_0),
% 0.13/0.47 inference(component_clause,[status(thm)],[f119])).
% 0.13/0.47 fof(f131,plain,(
% 0.13/0.47 spl0_3 <=> distinct_points(sk0_0,sk0_2)),
% 0.13/0.47 introduced(split_symbol_definition)).
% 0.13/0.47 fof(f150,plain,(
% 0.13/0.47 distinct_points(sk0_0,sk0_0)|distinct_points(sk0_0,sk0_2)),
% 0.13/0.47 inference(factoring,[status(esa)],[f90])).
% 0.13/0.47 fof(f151,plain,(
% 0.13/0.47 spl0_0|spl0_3),
% 0.13/0.47 inference(split_clause,[status(thm)],[f150,f119,f131])).
% 0.13/0.47 fof(f152,plain,(
% 0.13/0.47 $false|~spl0_0),
% 0.13/0.47 inference(forward_subsumption_resolution,[status(thm)],[f120,f17])).
% 0.13/0.47 fof(f153,plain,(
% 0.13/0.47 ~spl0_0),
% 0.13/0.47 inference(contradiction_clause,[status(thm)],[f152])).
% 0.13/0.47 fof(f497,plain,(
% 0.13/0.47 ![X0]: (distinct_lines(line_connecting(sk0_0,sk0_2),X0)|convergent_lines(line_connecting(sk0_0,sk0_1),X0))),
% 0.13/0.47 inference(resolution,[status(thm)],[f47,f52])).
% 0.13/0.47 fof(f501,plain,(
% 0.13/0.47 distinct_lines(line_connecting(sk0_0,sk0_2),line_connecting(sk0_0,sk0_1))),
% 0.13/0.47 inference(resolution,[status(thm)],[f497,f19])).
% 0.13/0.47 fof(f502,plain,(
% 0.13/0.47 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1)))),
% 0.13/0.47 inference(resolution,[status(thm)],[f501,f38])).
% 0.13/0.47 fof(f795,plain,(
% 0.13/0.47 spl0_31 <=> ~distinct_points(X0,sk0_0)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))),
% 0.13/0.47 introduced(split_symbol_definition)).
% 0.13/0.47 fof(f796,plain,(
% 0.13/0.49 ![X0]: (~distinct_points(X0,sk0_0)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|~spl0_31)),
% 0.13/0.49 inference(component_clause,[status(thm)],[f795])).
% 0.13/0.49 fof(f798,plain,(
% 0.13/0.49 spl0_32 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.13/0.49 introduced(split_symbol_definition)).
% 0.13/0.49 fof(f799,plain,(
% 0.13/0.49 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_32),
% 0.13/0.49 inference(component_clause,[status(thm)],[f798])).
% 0.13/0.49 fof(f801,plain,(
% 0.13/0.49 ![X0]: (~distinct_points(X0,sk0_0)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~distinct_points(sk0_0,sk0_2))),
% 0.13/0.49 inference(resolution,[status(thm)],[f502,f30])).
% 0.13/0.49 fof(f802,plain,(
% 0.13/0.49 spl0_31|spl0_32|~spl0_3),
% 0.13/0.49 inference(split_clause,[status(thm)],[f801,f795,f798,f131])).
% 0.13/0.49 fof(f946,plain,(
% 0.13/0.49 ~distinct_points(sk0_0,sk0_1)|~spl0_32),
% 0.13/0.49 inference(resolution,[status(thm)],[f799,f30])).
% 0.13/0.49 fof(f947,plain,(
% 0.13/0.49 $false|~spl0_32),
% 0.13/0.49 inference(forward_subsumption_resolution,[status(thm)],[f946,f50])).
% 0.13/0.49 fof(f948,plain,(
% 0.13/0.49 ~spl0_32),
% 0.13/0.49 inference(contradiction_clause,[status(thm)],[f947])).
% 0.13/0.49 fof(f954,plain,(
% 0.13/0.49 ![X0]: (~distinct_points(intersection_point(X0,line_connecting(sk0_0,sk0_2)),sk0_0)|apart_point_and_line(intersection_point(X0,line_connecting(sk0_0,sk0_2)),line_connecting(sk0_0,sk0_1))|~convergent_lines(X0,line_connecting(sk0_0,sk0_2))|~spl0_31)),
% 0.13/0.49 inference(resolution,[status(thm)],[f796,f36])).
% 0.13/0.49 fof(f991,plain,(
% 0.13/0.49 spl0_36 <=> distinct_points(intersection_point(line_connecting(sk0_0,sk0_1),line_connecting(sk0_0,sk0_2)),sk0_0)),
% 0.13/0.49 introduced(split_symbol_definition)).
% 0.13/0.49 fof(f993,plain,(
% 0.13/0.49 ~distinct_points(intersection_point(line_connecting(sk0_0,sk0_1),line_connecting(sk0_0,sk0_2)),sk0_0)|spl0_36),
% 0.13/0.49 inference(component_clause,[status(thm)],[f991])).
% 0.13/0.49 fof(f994,plain,(
% 0.13/0.49 spl0_37 <=> convergent_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_0,sk0_2))),
% 0.13/0.49 introduced(split_symbol_definition)).
% 0.13/0.49 fof(f996,plain,(
% 0.13/0.49 ~convergent_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_0,sk0_2))|spl0_37),
% 0.13/0.49 inference(component_clause,[status(thm)],[f994])).
% 0.13/0.49 fof(f997,plain,(
% 0.13/0.49 ~distinct_points(intersection_point(line_connecting(sk0_0,sk0_1),line_connecting(sk0_0,sk0_2)),sk0_0)|~convergent_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_0,sk0_2))|~convergent_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_0,sk0_2))|~spl0_31),
% 0.13/0.49 inference(resolution,[status(thm)],[f954,f34])).
% 0.13/0.49 fof(f998,plain,(
% 0.13/0.49 ~spl0_36|~spl0_37|~spl0_31),
% 0.13/0.49 inference(split_clause,[status(thm)],[f997,f991,f994,f795])).
% 0.13/0.49 fof(f1001,plain,(
% 0.13/0.49 $false|spl0_36),
% 0.13/0.49 inference(forward_subsumption_resolution,[status(thm)],[f993,f53])).
% 0.13/0.49 fof(f1002,plain,(
% 0.13/0.49 spl0_36),
% 0.13/0.49 inference(contradiction_clause,[status(thm)],[f1001])).
% 0.13/0.49 fof(f1003,plain,(
% 0.13/0.49 $false|spl0_37),
% 0.13/0.49 inference(forward_subsumption_resolution,[status(thm)],[f996,f52])).
% 0.13/0.49 fof(f1004,plain,(
% 0.13/0.49 spl0_37),
% 0.13/0.49 inference(contradiction_clause,[status(thm)],[f1003])).
% 0.13/0.49 fof(f1005,plain,(
% 0.13/0.49 $false),
% 0.13/0.49 inference(sat_refutation,[status(thm)],[f151,f153,f802,f948,f998,f1002,f1004])).
% 0.13/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.49 % Elapsed time: 0.184227 seconds
% 0.13/0.49 % CPU time: 1.176692 seconds
% 0.13/0.49 % Memory used: 13.490 MB
%------------------------------------------------------------------------------