%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO251+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 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 12:26:15 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO251+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 20 14:30:27 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f15,axiom,(
% 0.10/0.40 (! [A,L] :~ ( left_apart_point(A,L)| left_apart_point(A,reverse_line(L)) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f32,conjecture,(
% 0.10/0.40 (! [A,B,L] :( left_apart_point(B,reverse_line(parallel_through_point(L,A)))=> left_apart_point(A,parallel_through_point(L,B)) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f33,negated_conjecture,(
% 0.10/0.40 ~((! [A,B,L] :( left_apart_point(B,reverse_line(parallel_through_point(L,A)))=> left_apart_point(A,parallel_through_point(L,B)) ) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f32])).
% 0.10/0.40 fof(f92,plain,(
% 0.10/0.40 ![A,L]: (~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.10/0.40 fof(f93,plain,(
% 0.10/0.40 (![A,L]: ~left_apart_point(A,L))&(![A,L]: ~left_apart_point(A,reverse_line(L)))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f92])).
% 0.10/0.40 fof(f94,plain,(
% 0.10/0.41 ![X0,X1]: (~left_apart_point(X0,X1))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f93])).
% 0.10/0.41 fof(f130,plain,(
% 0.10/0.41 (?[A,B,L]: (left_apart_point(B,reverse_line(parallel_through_point(L,A)))&~left_apart_point(A,parallel_through_point(L,B))))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.10/0.41 fof(f131,plain,(
% 0.10/0.41 (left_apart_point(sK1_skl,reverse_line(parallel_through_point(sK2_skl,sK0_skl)))&~left_apart_point(sK0_skl,parallel_through_point(sK2_skl,sK1_skl)))),
% 0.10/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(L,sK2_skl)],[f130])).
% 0.10/0.41 fof(f132,plain,(
% 0.10/0.41 left_apart_point(sK1_skl,reverse_line(parallel_through_point(sK2_skl,sK0_skl)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f131])).
% 0.10/0.41 fof(f140,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(backward_subsumption_resolution,[status(thm)],[f132,f94])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.040109 seconds
% 0.10/0.43 % CPU time: 0.115146 seconds
% 0.10/0.43 % Total memory used: 18.896 MB
% 0.10/0.43 % Net memory used: 18.839 MB
%------------------------------------------------------------------------------