%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO188+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 : n026.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 12:26:00 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO188+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 : n026.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 13:11:22 UTC 2026
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.45 % Refutation found
% 0.12/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.45 fof(f2,axiom,(
% 0.12/0.45 (! [X] : ~ distinct_lines(X,X) )),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f5,axiom,(
% 0.12/0.45 (! [X,Y,Z] :( distinct_lines(X,Y)=> ( distinct_lines(X,Z)| distinct_lines(Y,Z) ) ) )),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f13,axiom,(
% 0.12/0.45 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f15,axiom,(
% 0.12/0.45 (! [X,Y] :( distinct_lines(X,Y)=> convergent_lines(X,Y) ) )),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f16,axiom,(
% 0.12/0.45 (! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y) )),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f17,axiom,(
% 0.12/0.45 (! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)) )),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f32,axiom,(
% 0.12/0.45 (! [X,Y] :( equal_lines(X,Y)<=> ~ distinct_lines(X,Y) ) )),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f34,axiom,(
% 0.12/0.45 (! [X,Y] :( incident_point_and_line(X,Y)<=> ~ apart_point_and_line(X,Y) ) )),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f36,conjecture,(
% 0.12/0.45 (! [X,Y,Z] :( ( distinct_points(X,Y)& distinct_points(X,Z)& distinct_points(Y,Z)& incident_point_and_line(Z,line_connecting(X,Y)) )=> incident_point_and_line(X,line_connecting(Z,Y)) ) )),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f37,negated_conjecture,(
% 0.12/0.45 ~((! [X,Y,Z] :( ( distinct_points(X,Y)& distinct_points(X,Z)& distinct_points(Y,Z)& incident_point_and_line(Z,line_connecting(X,Y)) )=> incident_point_and_line(X,line_connecting(Z,Y)) ) ))),
% 0.12/0.45 inference(negated_conjecture,[status(cth)],[f36])).
% 0.12/0.45 fof(f39,plain,(
% 0.12/0.45 ![X0]: (~distinct_lines(X0,X0))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.45 fof(f44,plain,(
% 0.12/0.45 ![X,Y,Z]: (~distinct_lines(X,Y)|(distinct_lines(X,Z)|distinct_lines(Y,Z)))),
% 0.12/0.45 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.12/0.45 fof(f45,plain,(
% 0.12/0.45 ![X,Y]: (~distinct_lines(X,Y)|(![Z]: (distinct_lines(X,Z)|distinct_lines(Y,Z))))),
% 0.12/0.45 inference(miniscoping,[status(thm)],[f44])).
% 0.12/0.45 fof(f46,plain,(
% 0.12/0.45 ![X0,X1,X2]: (~distinct_lines(X0,X1)|distinct_lines(X0,X2)|distinct_lines(X1,X2))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f45])).
% 0.12/0.45 fof(f63,plain,(
% 0.12/0.45 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.12/0.45 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.12/0.45 fof(f64,plain,(
% 0.12/0.45 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.12/0.45 inference(miniscoping,[status(thm)],[f63])).
% 0.12/0.45 fof(f65,plain,(
% 0.12/0.45 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f64])).
% 0.12/0.45 fof(f69,plain,(
% 0.12/0.45 ![X,Y]: (~distinct_lines(X,Y)|convergent_lines(X,Y))),
% 0.12/0.45 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.12/0.45 fof(f70,plain,(
% 0.12/0.45 ![X0,X1]: (~distinct_lines(X0,X1)|convergent_lines(X0,X1))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f69])).
% 0.12/0.45 fof(f71,plain,(
% 0.12/0.45 ![X0,X1]: (~convergent_lines(parallel_through_point(X0,X1),X0))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.45 fof(f72,plain,(
% 0.12/0.45 ![X0,X1]: (~apart_point_and_line(X0,parallel_through_point(X1,X0)))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.45 fof(f111,plain,(
% 0.12/0.45 ![X,Y]: ((~equal_lines(X,Y)|~distinct_lines(X,Y))&(equal_lines(X,Y)|distinct_lines(X,Y)))),
% 0.12/0.45 inference(NNF_transformation,[status(thm)],[f32])).
% 0.12/0.45 fof(f112,plain,(
% 0.12/0.45 (![X,Y]: (~equal_lines(X,Y)|~distinct_lines(X,Y)))&(![X,Y]: (equal_lines(X,Y)|distinct_lines(X,Y)))),
% 0.12/0.45 inference(miniscoping,[status(thm)],[f111])).
% 0.12/0.45 fof(f113,plain,(
% 0.12/0.45 ![X0,X1]: (~equal_lines(X0,X1)|~distinct_lines(X0,X1))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f112])).
% 0.12/0.45 fof(f114,plain,(
% 0.12/0.45 ![X0,X1]: (equal_lines(X0,X1)|distinct_lines(X0,X1))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f112])).
% 0.12/0.45 fof(f119,plain,(
% 0.12/0.45 ![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)))),
% 0.12/0.46 inference(NNF_transformation,[status(thm)],[f34])).
% 0.12/0.46 fof(f120,plain,(
% 0.12/0.46 (![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)))),
% 0.12/0.46 inference(miniscoping,[status(thm)],[f119])).
% 0.12/0.46 fof(f122,plain,(
% 0.12/0.46 ![X0,X1]: (incident_point_and_line(X0,X1)|apart_point_and_line(X0,X1))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f120])).
% 0.12/0.46 fof(f127,plain,(
% 0.12/0.46 (?[X,Y,Z]: ((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&incident_point_and_line(Z,line_connecting(X,Y)))&~incident_point_and_line(X,line_connecting(Z,Y))))),
% 0.12/0.46 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.12/0.46 fof(f128,plain,(
% 0.12/0.46 ((((distinct_points(sK0_skl,sK1_skl)&distinct_points(sK0_skl,sK2_skl))&distinct_points(sK1_skl,sK2_skl))&incident_point_and_line(sK2_skl,line_connecting(sK0_skl,sK1_skl)))&~incident_point_and_line(sK0_skl,line_connecting(sK2_skl,sK1_skl)))),
% 0.12/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(Z,sK2_skl)],[f127])).
% 0.12/0.46 fof(f133,plain,(
% 0.12/0.46 ~incident_point_and_line(sK0_skl,line_connecting(sK2_skl,sK1_skl))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f128])).
% 0.12/0.46 fof(f164,plain,(
% 0.12/0.46 ![X0,X1,X2]: (distinct_lines(X0,X1)|apart_point_and_line(X2,X1)|incident_point_and_line(X2,X0))),
% 0.12/0.46 inference(resolution,[status(thm)],[f65,f122])).
% 0.12/0.46 fof(f248,plain,(
% 0.12/0.46 ![X0,X1,X2]: (distinct_lines(X0,parallel_through_point(X1,X2))|incident_point_and_line(X2,X0))),
% 0.12/0.46 inference(resolution,[status(thm)],[f164,f72])).
% 0.12/0.46 fof(f318,plain,(
% 0.12/0.46 ![X0,X1]: (equal_lines(X0,X1)|convergent_lines(X0,X1))),
% 0.12/0.46 inference(resolution,[status(thm)],[f114,f70])).
% 0.12/0.46 fof(f320,plain,(
% 0.12/0.46 ![X0,X1,X2]: (equal_lines(X0,X1)|distinct_lines(X0,X2)|distinct_lines(X1,X2))),
% 0.12/0.46 inference(resolution,[status(thm)],[f114,f46])).
% 0.12/0.46 fof(f389,plain,(
% 0.12/0.46 ![X0,X1]: (equal_lines(parallel_through_point(X0,X1),X0))),
% 0.12/0.46 inference(resolution,[status(thm)],[f318,f71])).
% 0.12/0.46 fof(f467,plain,(
% 0.12/0.46 ![X0,X1]: (~distinct_lines(parallel_through_point(X0,X1),X0))),
% 0.12/0.46 inference(resolution,[status(thm)],[f389,f113])).
% 0.12/0.46 fof(f763,plain,(
% 0.12/0.46 ![X0,X1]: (equal_lines(X0,X1)|distinct_lines(X1,X0))),
% 0.12/0.46 inference(resolution,[status(thm)],[f320,f39])).
% 0.12/0.46 fof(f799,plain,(
% 0.12/0.46 ![X0,X1]: (equal_lines(X0,parallel_through_point(X0,X1)))),
% 0.12/0.46 inference(resolution,[status(thm)],[f763,f467])).
% 0.12/0.46 fof(f968,plain,(
% 0.12/0.46 ![X0,X1]: (~distinct_lines(X0,parallel_through_point(X0,X1)))),
% 0.12/0.46 inference(resolution,[status(thm)],[f799,f113])).
% 0.12/0.46 fof(f970,plain,(
% 0.12/0.46 ![X0,X1]: (incident_point_and_line(X0,X1))),
% 0.12/0.46 inference(resolution,[status(thm)],[f968,f248])).
% 0.12/0.46 fof(f982,plain,(
% 0.12/0.46 $false),
% 0.12/0.46 inference(backward_subsumption_resolution,[status(thm)],[f133,f970])).
% 0.12/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.47 % Elapsed time: 0.111844 seconds
% 0.12/0.47 % CPU time: 0.636196 seconds
% 0.12/0.47 % Total memory used: 25.305 MB
% 0.12/0.47 % Net memory used: 23.998 MB
%------------------------------------------------------------------------------