%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO226+1 : 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 : n003.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 0.02s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO226+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.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
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Sun Sep 20 14:02:15 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.39 % Refutation found
% 0.02/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.39 fof(f9,axiom,(
% 0.02/0.39 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),X) ) )),
% 0.02/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f10,axiom,(
% 0.02/0.39 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),Y) ) )),
% 0.02/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f19,conjecture,(
% 0.02/0.39 (! [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) ) ) )) )),
% 0.02/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f20,negated_conjecture,(
% 0.02/0.39 ~((! [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) ) ) )) ))),
% 0.02/0.39 inference(negated_conjecture,[status(cth)],[f19])).
% 0.02/0.39 fof(f37,plain,(
% 0.02/0.39 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X))),
% 0.02/0.39 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.02/0.39 fof(f38,plain,(
% 0.02/0.39 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.02/0.39 fof(f39,plain,(
% 0.02/0.39 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y))),
% 0.02/0.39 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.02/0.39 fof(f40,plain,(
% 0.02/0.39 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f39])).
% 0.02/0.39 fof(f60,plain,(
% 0.02/0.39 (?[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))))))),
% 0.02/0.39 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.02/0.39 fof(f61,plain,(
% 0.02/0.39 ?[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)))))),
% 0.02/0.39 inference(miniscoping,[status(thm)],[f60])).
% 0.02/0.39 fof(f62,plain,(
% 0.02/0.39 (((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)))))),
% 0.02/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(L,sK0_skl),skolemize(M,sK1_skl)],[f61])).
% 0.02/0.39 fof(f65,plain,(
% 0.02/0.39 convergent_lines(sK0_skl,sK1_skl)),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f62])).
% 0.02/0.39 fof(f67,plain,(
% 0.02/0.39 ![X0]: (apart_point_and_line(X0,sK0_skl)|apart_point_and_line(X0,sK1_skl))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f62])).
% 0.02/0.39 fof(f72,plain,(
% 0.02/0.39 ![X0]: (apart_point_and_line(intersection_point(X0,sK1_skl),sK0_skl)|~convergent_lines(X0,sK1_skl))),
% 0.02/0.39 inference(resolution,[status(thm)],[f67,f40])).
% 0.02/0.39 fof(f74,plain,(
% 0.02/0.39 ~convergent_lines(sK0_skl,sK1_skl)|~convergent_lines(sK0_skl,sK1_skl)),
% 0.02/0.39 inference(resolution,[status(thm)],[f72,f38])).
% 0.02/0.39 fof(f75,definition,(
% 0.02/0.39 sQ0_spl <=> (convergent_lines(sK0_skl,sK1_skl))),
% 0.02/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.02/0.39 fof(f77,plain,(
% 0.02/0.39 ~convergent_lines(sK0_skl,sK1_skl)|sQ0_spl),
% 0.02/0.39 inference(component_clause,[status(thm)],[f75])).
% 0.02/0.39 fof(f78,plain,(
% 0.02/0.39 ~sQ0_spl),
% 0.02/0.39 inference(split_clause,[status(thm)],[f74,f75])).
% 0.02/0.39 fof(f79,plain,(
% 0.02/0.39 $false|sQ0_spl),
% 0.02/0.39 inference(forward_subsumption_resolution,[status(thm)],[f77,f65])).
% 0.02/0.39 fof(f80,plain,(
% 0.02/0.39 sQ0_spl),
% 0.02/0.39 inference(contradiction_clause,[status(thm)],[f79])).
% 0.02/0.39 fof(f81,plain,(
% 0.02/0.39 $false),
% 0.02/0.39 inference(sat_refutation,[status(thm)],[f78,f80])).
% 0.02/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.42 % Elapsed time: 0.042235 seconds
% 0.02/0.42 % CPU time: 0.113827 seconds
% 0.02/0.42 % Total memory used: 17.243 MB
% 0.02/0.42 % Net memory used: 16.921 MB
%------------------------------------------------------------------------------