%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO183+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:25:59 PM UTC 2026
% Result : Theorem 0.13s 5.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO183+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.35 % Computer : n016.cluster.edu
% 0.08/5.35 % Model : x86_64 x86_64
% 0.08/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.35 % Memory : 8046.5625MB
% 0.08/5.35 % OS : Linux 6.8.0-71-generic
% 0.08/5.35 % CPULimit : 300
% 0.08/5.35 % WCLimit : 300
% 0.08/5.35 % DateTime : Sun Sep 20 13:13:12 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.37 % Drodi V4.1.1
% 0.13/5.44 % Refutation found
% 0.13/5.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/5.44 % SZS output start CNFRefutation for theBenchmark
% 0.13/5.44 fof(f3,axiom,(
% 0.13/5.44 (! [X] : ~ convergent_lines(X,X) )),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f6,axiom,(
% 0.13/5.44 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f13,axiom,(
% 0.13/5.44 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f15,axiom,(
% 0.13/5.44 (! [X,Y] :( distinct_lines(X,Y)=> convergent_lines(X,Y) ) )),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f16,axiom,(
% 0.13/5.44 (! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y) )),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f17,axiom,(
% 0.13/5.44 (! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)) )),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f34,axiom,(
% 0.13/5.44 (! [X,Y] :( incident_point_and_line(X,Y)<=> ~ apart_point_and_line(X,Y) ) )),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f36,conjecture,(
% 0.13/5.44 (! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& equal_lines(U,line_connecting(X,Y)) )=> ( incident_point_and_line(X,U)& incident_point_and_line(Y,U) ) ) )),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f37,negated_conjecture,(
% 0.13/5.44 ~((! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& equal_lines(U,line_connecting(X,Y)) )=> ( incident_point_and_line(X,U)& incident_point_and_line(Y,U) ) ) ))),
% 0.13/5.44 inference(negated_conjecture,[status(cth)],[f36])).
% 0.13/5.44 fof(f40,plain,(
% 0.13/5.44 ![X0]: (~convergent_lines(X0,X0))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/5.44 fof(f47,plain,(
% 0.13/5.44 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.13/5.44 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.13/5.44 fof(f48,plain,(
% 0.13/5.44 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.13/5.44 inference(miniscoping,[status(thm)],[f47])).
% 0.13/5.44 fof(f49,plain,(
% 0.13/5.44 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/5.44 fof(f63,plain,(
% 0.13/5.44 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.13/5.44 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.13/5.44 fof(f64,plain,(
% 0.13/5.44 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.13/5.44 inference(miniscoping,[status(thm)],[f63])).
% 0.13/5.44 fof(f65,plain,(
% 0.13/5.44 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f64])).
% 0.13/5.44 fof(f69,plain,(
% 0.13/5.44 ![X,Y]: (~distinct_lines(X,Y)|convergent_lines(X,Y))),
% 0.13/5.44 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.13/5.44 fof(f70,plain,(
% 0.13/5.44 ![X0,X1]: (~distinct_lines(X0,X1)|convergent_lines(X0,X1))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f69])).
% 0.13/5.44 fof(f71,plain,(
% 0.13/5.44 ![X0,X1]: (~convergent_lines(parallel_through_point(X0,X1),X0))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/5.44 fof(f72,plain,(
% 0.13/5.44 ![X0,X1]: (~apart_point_and_line(X0,parallel_through_point(X1,X0)))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/5.44 fof(f119,plain,(
% 0.13/5.44 ![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)))),
% 0.13/5.44 inference(NNF_transformation,[status(thm)],[f34])).
% 0.13/5.44 fof(f120,plain,(
% 0.13/5.44 (![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)))),
% 0.13/5.44 inference(miniscoping,[status(thm)],[f119])).
% 0.13/5.44 fof(f122,plain,(
% 0.13/5.44 ![X0,X1]: (incident_point_and_line(X0,X1)|apart_point_and_line(X0,X1))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f120])).
% 0.13/5.44 fof(f127,plain,(
% 0.13/5.44 (?[X,Y,U,V]: (((distinct_points(X,Y)&convergent_lines(U,V))&equal_lines(U,line_connecting(X,Y)))&(~incident_point_and_line(X,U)|~incident_point_and_line(Y,U))))),
% 0.13/5.44 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.13/5.45 fof(f128,plain,(
% 0.13/5.45 ?[X,Y,U]: (((distinct_points(X,Y)&(?[V]: convergent_lines(U,V)))&equal_lines(U,line_connecting(X,Y)))&(~incident_point_and_line(X,U)|~incident_point_and_line(Y,U)))),
% 0.13/5.45 inference(miniscoping,[status(thm)],[f127])).
% 0.13/5.45 fof(f129,plain,(
% 0.13/5.45 (((distinct_points(sK0_skl,sK1_skl)&convergent_lines(sK2_skl,sK3_skl))&equal_lines(sK2_skl,line_connecting(sK0_skl,sK1_skl)))&(~incident_point_and_line(sK0_skl,sK2_skl)|~incident_point_and_line(sK1_skl,sK2_skl)))),
% 0.13/5.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(U,sK2_skl),skolemize(V,sK3_skl)],[f128])).
% 0.13/5.45 fof(f133,plain,(
% 0.13/5.45 ~incident_point_and_line(sK0_skl,sK2_skl)|~incident_point_and_line(sK1_skl,sK2_skl)),
% 0.13/5.45 inference(cnf_transformation,[status(thm)],[f129])).
% 0.13/5.45 fof(f144,definition,(
% 0.13/5.45 sQ0_spl <=> (incident_point_and_line(sK0_skl,sK2_skl))),
% 0.13/5.45 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/5.45 fof(f146,plain,(
% 0.13/5.45 ~incident_point_and_line(sK0_skl,sK2_skl)|sQ0_spl),
% 0.13/5.45 inference(component_clause,[status(thm)],[f144])).
% 0.13/5.45 fof(f147,definition,(
% 0.13/5.45 sQ1_spl <=> (incident_point_and_line(sK1_skl,sK2_skl))),
% 0.13/5.45 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/5.45 fof(f149,plain,(
% 0.13/5.45 ~incident_point_and_line(sK1_skl,sK2_skl)|sQ1_spl),
% 0.13/5.45 inference(component_clause,[status(thm)],[f147])).
% 0.13/5.45 fof(f150,plain,(
% 0.13/5.45 ~sQ0_spl|~sQ1_spl),
% 0.13/5.45 inference(split_clause,[status(thm)],[f133,f144,f147])).
% 0.13/5.45 fof(f151,plain,(
% 0.13/5.45 apart_point_and_line(sK0_skl,sK2_skl)|sQ0_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f122,f146])).
% 0.13/5.45 fof(f225,plain,(
% 0.13/5.45 ![X0]: (distinct_lines(sK2_skl,X0)|apart_point_and_line(sK0_skl,X0)|sQ0_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f65,f151])).
% 0.13/5.45 fof(f234,plain,(
% 0.13/5.45 ![X0]: (distinct_lines(sK2_skl,parallel_through_point(X0,sK0_skl))|sQ0_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f225,f72])).
% 0.13/5.45 fof(f264,plain,(
% 0.13/5.45 ![X0]: (convergent_lines(sK2_skl,parallel_through_point(X0,sK0_skl))|sQ0_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f234,f70])).
% 0.13/5.45 fof(f268,plain,(
% 0.13/5.45 ![X0,X1]: (convergent_lines(sK2_skl,X0)|convergent_lines(parallel_through_point(X1,sK0_skl),X0)|sQ0_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f264,f49])).
% 0.13/5.45 fof(f513,plain,(
% 0.13/5.45 ![X0]: (convergent_lines(sK2_skl,X0)|sQ0_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f268,f71])).
% 0.13/5.45 fof(f519,plain,(
% 0.13/5.45 $false|sQ0_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f513,f40])).
% 0.13/5.45 fof(f520,plain,(
% 0.13/5.45 sQ0_spl),
% 0.13/5.45 inference(contradiction_clause,[status(thm)],[f519])).
% 0.13/5.45 fof(f521,plain,(
% 0.13/5.45 apart_point_and_line(sK1_skl,sK2_skl)|sQ1_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f149,f122])).
% 0.13/5.45 fof(f525,plain,(
% 0.13/5.45 ![X0]: (distinct_lines(sK2_skl,X0)|apart_point_and_line(sK1_skl,X0)|sQ1_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f521,f65])).
% 0.13/5.45 fof(f563,plain,(
% 0.13/5.45 ![X0]: (distinct_lines(sK2_skl,parallel_through_point(X0,sK1_skl))|sQ1_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f525,f72])).
% 0.13/5.45 fof(f574,plain,(
% 0.13/5.45 ![X0]: (convergent_lines(sK2_skl,parallel_through_point(X0,sK1_skl))|sQ1_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f563,f70])).
% 0.13/5.45 fof(f587,plain,(
% 0.13/5.45 ![X0,X1]: (convergent_lines(sK2_skl,X0)|convergent_lines(parallel_through_point(X1,sK1_skl),X0)|sQ1_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f574,f49])).
% 0.13/5.45 fof(f855,plain,(
% 0.13/5.45 ![X0]: (convergent_lines(sK2_skl,X0)|sQ1_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f587,f71])).
% 0.13/5.45 fof(f863,plain,(
% 0.13/5.45 $false|sQ1_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f855,f40])).
% 0.13/5.45 fof(f864,plain,(
% 0.13/5.45 sQ1_spl),
% 0.13/5.45 inference(contradiction_clause,[status(thm)],[f863])).
% 0.13/5.45 fof(f865,plain,(
% 0.13/5.45 $false),
% 0.13/5.45 inference(sat_refutation,[status(thm)],[f150,f520,f864])).
% 0.13/5.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.47 % Elapsed time: 0.093149 seconds
% 0.13/5.47 % CPU time: 0.535115 seconds
% 0.13/5.47 % Total memory used: 24.474 MB
% 0.13/5.47 % Net memory used: 23.354 MB
%------------------------------------------------------------------------------