TSTP Solution File: GEO224+3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO224+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:17:38 EDT 2024
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO224+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.36 % Computer : n006.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Tue Apr 30 01:20:35 EDT 2024
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V3.6.0
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f3,axiom,(
% 0.12/0.38 (! [X] : ~ convergent_lines(X,X) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f6,axiom,(
% 0.12/0.38 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f13,axiom,(
% 0.12/0.38 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f15,axiom,(
% 0.12/0.38 (! [X,Y] :( distinct_lines(X,Y)=> convergent_lines(X,Y) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f16,axiom,(
% 0.12/0.38 (! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f17,axiom,(
% 0.12/0.38 (! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f34,axiom,(
% 0.12/0.38 (! [X,Y] :( incident_point_and_line(X,Y)<=> ~ apart_point_and_line(X,Y) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f36,conjecture,(
% 0.12/0.38 (! [X,Y] :( ( point(X)& line(Y) )=> (? [Z] :( point(Z)& incident_point_and_line(Z,Y) ) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f37,negated_conjecture,(
% 0.12/0.38 ~((! [X,Y] :( ( point(X)& line(Y) )=> (? [Z] :( point(Z)& incident_point_and_line(Z,Y) ) )) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f36])).
% 0.12/0.38 fof(f40,plain,(
% 0.12/0.38 ![X0]: (~convergent_lines(X0,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f3])).
% 0.12/0.38 fof(f47,plain,(
% 0.12/0.38 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.12/0.38 fof(f48,plain,(
% 0.12/0.38 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.12/0.38 inference(miniscoping,[status(esa)],[f47])).
% 0.12/0.38 fof(f49,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f48])).
% 0.12/0.38 fof(f63,plain,(
% 0.12/0.38 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.12/0.38 fof(f64,plain,(
% 0.12/0.38 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.12/0.38 inference(miniscoping,[status(esa)],[f63])).
% 0.12/0.38 fof(f65,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f64])).
% 0.12/0.38 fof(f69,plain,(
% 0.12/0.38 ![X,Y]: (~distinct_lines(X,Y)|convergent_lines(X,Y))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.12/0.38 fof(f70,plain,(
% 0.12/0.38 ![X0,X1]: (~distinct_lines(X0,X1)|convergent_lines(X0,X1))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f69])).
% 0.12/0.38 fof(f71,plain,(
% 0.12/0.38 ![X0,X1]: (~convergent_lines(parallel_through_point(X0,X1),X0))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f16])).
% 0.12/0.38 fof(f72,plain,(
% 0.12/0.38 ![X0,X1]: (~apart_point_and_line(X0,parallel_through_point(X1,X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f17])).
% 0.12/0.38 fof(f119,plain,(
% 0.12/0.38 ![X,Y]: ((~incident_point_and_line(X,Y)|~apart_point_and_line(X,Y))&(incident_point_and_line(X,Y)|apart_point_and_line(X,Y)))),
% 0.12/0.38 inference(NNF_transformation,[status(esa)],[f34])).
% 0.12/0.38 fof(f120,plain,(
% 0.12/0.38 (![X,Y]: (~incident_point_and_line(X,Y)|~apart_point_and_line(X,Y)))&(![X,Y]: (incident_point_and_line(X,Y)|apart_point_and_line(X,Y)))),
% 0.12/0.38 inference(miniscoping,[status(esa)],[f119])).
% 0.12/0.38 fof(f122,plain,(
% 0.12/0.38 ![X0,X1]: (incident_point_and_line(X0,X1)|apart_point_and_line(X0,X1))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f120])).
% 0.12/0.38 fof(f127,plain,(
% 0.12/0.38 (?[X,Y]: ((point(X)&line(Y))&(![Z]: (~point(Z)|~incident_point_and_line(Z,Y)))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.12/0.38 fof(f128,plain,(
% 0.12/0.38 ?[Y]: (((?[X]: point(X))&line(Y))&(![Z]: (~point(Z)|~incident_point_and_line(Z,Y))))),
% 0.12/0.38 inference(miniscoping,[status(esa)],[f127])).
% 0.12/0.38 fof(f129,plain,(
% 0.12/0.38 ((point(sk0_1)&line(sk0_0))&(![Z]: (~point(Z)|~incident_point_and_line(Z,sk0_0))))),
% 0.12/0.38 inference(skolemization,[status(esa)],[f128])).
% 0.12/0.38 fof(f130,plain,(
% 0.12/0.38 point(sk0_1)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f129])).
% 0.12/0.38 fof(f132,plain,(
% 0.12/0.38 ![X0]: (~point(X0)|~incident_point_and_line(X0,sk0_0))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f129])).
% 0.12/0.38 fof(f139,plain,(
% 0.12/0.38 ![X0]: (apart_point_and_line(X0,sk0_0)|~point(X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f122,f132])).
% 0.12/0.38 fof(f146,plain,(
% 0.12/0.38 ![X0,X1]: (distinct_lines(sk0_0,X0)|apart_point_and_line(X1,X0)|~point(X1))),
% 0.12/0.38 inference(resolution,[status(thm)],[f65,f139])).
% 0.12/0.38 fof(f149,plain,(
% 0.12/0.38 ![X0,X1]: (distinct_lines(sk0_0,parallel_through_point(X0,X1))|~point(X1))),
% 0.12/0.38 inference(resolution,[status(thm)],[f72,f146])).
% 0.12/0.38 fof(f155,plain,(
% 0.12/0.38 ![X0,X1]: (~point(X0)|convergent_lines(sk0_0,parallel_through_point(X1,X0)))),
% 0.12/0.38 inference(resolution,[status(thm)],[f149,f70])).
% 0.12/0.38 fof(f158,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~point(X0)|convergent_lines(sk0_0,X1)|convergent_lines(parallel_through_point(X2,X0),X1))),
% 0.12/0.38 inference(resolution,[status(thm)],[f155,f49])).
% 0.12/0.38 fof(f170,plain,(
% 0.12/0.38 spl0_0 <=> ~point(X0)),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f171,plain,(
% 0.12/0.38 ![X0]: (~point(X0)|~spl0_0)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f170])).
% 0.12/0.38 fof(f173,plain,(
% 0.12/0.38 spl0_1 <=> convergent_lines(sk0_0,X1)),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f174,plain,(
% 0.12/0.38 ![X0]: (convergent_lines(sk0_0,X0)|~spl0_1)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f173])).
% 0.12/0.38 fof(f176,plain,(
% 0.12/0.38 ![X0,X1]: (~point(X0)|convergent_lines(sk0_0,X1))),
% 0.12/0.38 inference(resolution,[status(thm)],[f158,f71])).
% 0.12/0.38 fof(f177,plain,(
% 0.12/0.38 spl0_0|spl0_1),
% 0.12/0.38 inference(split_clause,[status(thm)],[f176,f170,f173])).
% 0.12/0.38 fof(f180,plain,(
% 0.12/0.38 $false|~spl0_0),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f130,f171])).
% 0.12/0.38 fof(f181,plain,(
% 0.12/0.38 ~spl0_0),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f180])).
% 0.12/0.38 fof(f183,plain,(
% 0.12/0.38 $false|~spl0_1),
% 0.12/0.38 inference(resolution,[status(thm)],[f174,f40])).
% 0.12/0.38 fof(f184,plain,(
% 0.12/0.38 ~spl0_1),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f183])).
% 0.12/0.38 fof(f185,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(sat_refutation,[status(thm)],[f177,f181,f184])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.019027 seconds
% 0.12/0.40 % CPU time: 0.054723 seconds
% 0.12/0.40 % Total memory used: 3.037 MB
% 0.12/0.40 % Net memory used: 3.003 MB
%------------------------------------------------------------------------------