%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO242+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 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 12:26:13 PM UTC 2026
% Result : Theorem 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO242+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 14:29:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f16,axiom,(
% 0.11/0.41 (! [L,M] :~ ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f32,conjecture,(
% 0.11/0.41 (! [A,B,L] :( ( ~ apart_point_and_line(A,L)& distinct_points(A,B)& left_convergent_lines(L,reverse_line(line_connecting(A,B))) )=> left_apart_point(B,reverse_line(L)) ) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f33,negated_conjecture,(
% 0.11/0.41 ~((! [A,B,L] :( ( ~ apart_point_and_line(A,L)& distinct_points(A,B)& left_convergent_lines(L,reverse_line(line_connecting(A,B))) )=> left_apart_point(B,reverse_line(L)) ) ))),
% 0.11/0.41 inference(negated_conjecture,[status(cth)],[f32])).
% 0.11/0.41 fof(f96,plain,(
% 0.11/0.41 ![L,M]: (~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M)))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.11/0.41 fof(f97,plain,(
% 0.11/0.41 (![L,M]: ~left_convergent_lines(L,M))&(![L,M]: ~left_convergent_lines(L,reverse_line(M)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f96])).
% 0.11/0.41 fof(f98,plain,(
% 0.11/0.41 ![X0,X1]: (~left_convergent_lines(X0,X1))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f97])).
% 0.11/0.41 fof(f130,plain,(
% 0.11/0.41 (?[A,B,L]: (((~apart_point_and_line(A,L)&distinct_points(A,B))&left_convergent_lines(L,reverse_line(line_connecting(A,B))))&~left_apart_point(B,reverse_line(L))))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.11/0.41 fof(f131,plain,(
% 0.11/0.41 ?[B,L]: ((?[A]: ((~apart_point_and_line(A,L)&distinct_points(A,B))&left_convergent_lines(L,reverse_line(line_connecting(A,B)))))&~left_apart_point(B,reverse_line(L)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f130])).
% 0.11/0.41 fof(f132,plain,(
% 0.11/0.41 (((~apart_point_and_line(sK2_skl,sK1_skl)&distinct_points(sK2_skl,sK0_skl))&left_convergent_lines(sK1_skl,reverse_line(line_connecting(sK2_skl,sK0_skl))))&~left_apart_point(sK0_skl,reverse_line(sK1_skl)))),
% 0.11/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(B,sK0_skl),skolemize(L,sK1_skl),skolemize(A,sK2_skl)],[f131])).
% 0.11/0.41 fof(f135,plain,(
% 0.11/0.41 left_convergent_lines(sK1_skl,reverse_line(line_connecting(sK2_skl,sK0_skl)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f132])).
% 0.11/0.41 fof(f143,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f135,f98])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.43 % Elapsed time: 0.044430 seconds
% 0.11/0.43 % CPU time: 0.114721 seconds
% 0.11/0.43 % Total memory used: 18.986 MB
% 0.11/0.43 % Net memory used: 18.926 MB
%------------------------------------------------------------------------------