%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO224+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 12:26:10 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO224+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 13:51:40 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (! [X] : ~ convergent_lines(X,X) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,axiom,(
% 0.13/0.39 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f13,axiom,(
% 0.13/0.39 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f15,axiom,(
% 0.13/0.39 (! [X,Y] :( distinct_lines(X,Y)=> convergent_lines(X,Y) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f16,axiom,(
% 0.13/0.39 (! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f17,axiom,(
% 0.13/0.39 (! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f34,axiom,(
% 0.13/0.39 (! [X,Y] :( incident_point_and_line(X,Y)<=> ~ apart_point_and_line(X,Y) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f36,conjecture,(
% 0.13/0.39 (! [X,Y] :( ( point(X)& line(Y) )=> (? [Z] :( point(Z)& incident_point_and_line(Z,Y) ) )) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f37,negated_conjecture,(
% 0.13/0.39 ~((! [X,Y] :( ( point(X)& line(Y) )=> (? [Z] :( point(Z)& incident_point_and_line(Z,Y) ) )) ))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f36])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 ![X0]: (~convergent_lines(X0,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f47])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/0.39 fof(f63,plain,(
% 0.13/0.39 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f64,plain,(
% 0.13/0.39 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f63])).
% 0.13/0.39 fof(f65,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f64])).
% 0.13/0.39 fof(f69,plain,(
% 0.13/0.39 ![X,Y]: (~distinct_lines(X,Y)|convergent_lines(X,Y))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.13/0.39 fof(f70,plain,(
% 0.13/0.39 ![X0,X1]: (~distinct_lines(X0,X1)|convergent_lines(X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f69])).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 ![X0,X1]: (~convergent_lines(parallel_through_point(X0,X1),X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 ![X0,X1]: (~apart_point_and_line(X0,parallel_through_point(X1,X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.39 fof(f119,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f34])).
% 0.13/0.39 fof(f120,plain,(
% 0.13/0.39 (![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f119])).
% 0.13/0.39 fof(f122,plain,(
% 0.13/0.39 ![X0,X1]: (incident_point_and_line(X0,X1)|apart_point_and_line(X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f120])).
% 0.13/0.39 fof(f127,plain,(
% 0.13/0.39 (?[X,Y]: ((point(X)&line(Y))&(![Z]: (~point(Z)|~incident_point_and_line(Z,Y)))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.13/0.39 fof(f128,plain,(
% 0.13/0.39 ?[Y]: (((?[X]: point(X))&line(Y))&(![Z]: (~point(Z)|~incident_point_and_line(Z,Y))))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f127])).
% 0.13/0.39 fof(f129,plain,(
% 0.13/0.39 ((point(sK1_skl)&line(sK0_skl))&(![Z]: (~point(Z)|~incident_point_and_line(Z,sK0_skl))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl),skolemize(X,sK1_skl)],[f128])).
% 0.13/0.39 fof(f130,plain,(
% 0.13/0.39 point(sK1_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f129])).
% 0.13/0.39 fof(f132,plain,(
% 0.13/0.39 ![X0]: (~point(X0)|~incident_point_and_line(X0,sK0_skl))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f129])).
% 0.13/0.39 fof(f143,plain,(
% 0.13/0.39 ![X0]: (apart_point_and_line(X0,sK0_skl)|~point(X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f122,f132])).
% 0.13/0.39 fof(f157,plain,(
% 0.13/0.39 ![X0,X1]: (distinct_lines(sK0_skl,X0)|apart_point_and_line(X1,X0)|~point(X1))),
% 0.13/0.39 inference(resolution,[status(thm)],[f65,f143])).
% 0.13/0.39 fof(f172,plain,(
% 0.13/0.39 ![X0]: (distinct_lines(sK0_skl,X0)|apart_point_and_line(sK1_skl,X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f157,f130])).
% 0.13/0.39 fof(f176,plain,(
% 0.13/0.39 ![X0]: (distinct_lines(sK0_skl,parallel_through_point(X0,sK1_skl)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f172,f72])).
% 0.13/0.39 fof(f181,plain,(
% 0.13/0.39 ![X0]: (convergent_lines(sK0_skl,parallel_through_point(X0,sK1_skl)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f176,f70])).
% 0.13/0.39 fof(f186,plain,(
% 0.13/0.39 ![X0,X1]: (convergent_lines(sK0_skl,X0)|convergent_lines(parallel_through_point(X1,sK1_skl),X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f181,f49])).
% 0.13/0.39 fof(f248,plain,(
% 0.13/0.39 ![X0]: (convergent_lines(sK0_skl,X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f186,f71])).
% 0.13/0.39 fof(f258,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(resolution,[status(thm)],[f248,f40])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.050246 seconds
% 0.13/0.42 % CPU time: 0.155153 seconds
% 0.13/0.42 % Total memory used: 18.832 MB
% 0.13/0.42 % Net memory used: 18.645 MB
%------------------------------------------------------------------------------