%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO226+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 12:26:11 PM UTC 2026
% Result : Theorem 0.09s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO226+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 14:02:19 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.44 % Refutation found
% 0.09/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.44 fof(f1,axiom,(
% 0.09/0.44 (! [X] : ~ distinct_points(X,X) )),
% 0.09/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f8,axiom,(
% 0.09/0.44 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( ( apart_point_and_line(Z,X)| apart_point_and_line(Z,Y) )=> distinct_points(Z,intersection_point(X,Y)) ) ) )),
% 0.09/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f17,conjecture,(
% 0.09/0.44 (! [L,M] :( ( line(L)& line(M)& convergent_lines(L,M) )=> (? [X] :( point(X)=> ( ~ apart_point_and_line(X,L)& ~ apart_point_and_line(X,M) ) ) )) )),
% 0.09/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f18,negated_conjecture,(
% 0.09/0.44 ~((! [L,M] :( ( line(L)& line(M)& convergent_lines(L,M) )=> (? [X] :( point(X)=> ( ~ apart_point_and_line(X,L)& ~ apart_point_and_line(X,M) ) ) )) ))),
% 0.09/0.44 inference(negated_conjecture,[status(cth)],[f17])).
% 0.09/0.44 fof(f19,plain,(
% 0.09/0.44 ![X0]: (~distinct_points(X0,X0))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.44 fof(f35,plain,(
% 0.09/0.44 ![X,Y,Z]: (~convergent_lines(X,Y)|((~apart_point_and_line(Z,X)&~apart_point_and_line(Z,Y))|distinct_points(Z,intersection_point(X,Y))))),
% 0.09/0.44 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.09/0.44 fof(f36,plain,(
% 0.09/0.44 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: ((~apart_point_and_line(Z,X)&~apart_point_and_line(Z,Y))|distinct_points(Z,intersection_point(X,Y)))))),
% 0.09/0.44 inference(miniscoping,[status(thm)],[f35])).
% 0.09/0.44 fof(f37,plain,(
% 0.09/0.44 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X0)|distinct_points(X2,intersection_point(X0,X1)))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/0.44 fof(f38,plain,(
% 0.09/0.44 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X1)|distinct_points(X2,intersection_point(X0,X1)))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/0.44 fof(f57,plain,(
% 0.09/0.44 (?[L,M]: (((line(L)&line(M))&convergent_lines(L,M))&(![X]: (point(X)&(apart_point_and_line(X,L)|apart_point_and_line(X,M))))))),
% 0.09/0.44 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.09/0.44 fof(f58,plain,(
% 0.09/0.44 ?[L,M]: (((line(L)&line(M))&convergent_lines(L,M))&((![X]: point(X))&(![X]: (apart_point_and_line(X,L)|apart_point_and_line(X,M)))))),
% 0.09/0.44 inference(miniscoping,[status(thm)],[f57])).
% 0.09/0.44 fof(f59,plain,(
% 0.09/0.44 (((line(sK0_skl)&line(sK1_skl))&convergent_lines(sK0_skl,sK1_skl))&((![X]: point(X))&(![X]: (apart_point_and_line(X,sK0_skl)|apart_point_and_line(X,sK1_skl)))))),
% 0.09/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(L,sK0_skl),skolemize(M,sK1_skl)],[f58])).
% 0.09/0.44 fof(f62,plain,(
% 0.09/0.44 convergent_lines(sK0_skl,sK1_skl)),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f59])).
% 0.09/0.44 fof(f64,plain,(
% 0.09/0.44 ![X0]: (apart_point_and_line(X0,sK0_skl)|apart_point_and_line(X0,sK1_skl))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f59])).
% 0.09/0.44 fof(f76,plain,(
% 0.09/0.44 ![X0]: (~apart_point_and_line(X0,sK0_skl)|distinct_points(X0,intersection_point(sK0_skl,sK1_skl)))),
% 0.09/0.44 inference(resolution,[status(thm)],[f37,f62])).
% 0.09/0.44 fof(f77,plain,(
% 0.09/0.44 ![X0]: (~apart_point_and_line(X0,sK1_skl)|distinct_points(X0,intersection_point(sK0_skl,sK1_skl)))),
% 0.09/0.44 inference(resolution,[status(thm)],[f38,f62])).
% 0.09/0.44 fof(f88,plain,(
% 0.09/0.44 ![X0]: (distinct_points(X0,intersection_point(sK0_skl,sK1_skl))|apart_point_and_line(X0,sK0_skl))),
% 0.09/0.44 inference(resolution,[status(thm)],[f77,f64])).
% 0.09/0.44 fof(f89,plain,(
% 0.09/0.44 ![X0]: (distinct_points(X0,intersection_point(sK0_skl,sK1_skl)))),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f88,f76])).
% 0.09/0.44 fof(f99,plain,(
% 0.09/0.44 $false),
% 0.09/0.44 inference(resolution,[status(thm)],[f89,f19])).
% 0.09/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.44 % Elapsed time: 0.069316 seconds
% 0.09/0.44 % CPU time: 0.333099 seconds
% 0.09/0.44 % Total memory used: 19.799 MB
% 0.09/0.44 % Net memory used: 18.983 MB
%------------------------------------------------------------------------------