%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO236+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 : n013.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 12:26:12 PM UTC 2026
% Result : Theorem 0.14s 10.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO236+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
% 0.10/10.38 % Computer : n013.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Sun Sep 20 14:12:30 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.39 % Drodi V4.1.1
% 0.14/10.41 % Refutation found
% 0.14/10.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/10.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/10.41 fof(f20,axiom,(
% 0.14/10.41 (! [A,L] :~ ( left_apart_point(A,L)| left_apart_point(A,reverse_line(L)) ) )),
% 0.14/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.41 fof(f37,conjecture,(
% 0.14/10.41 (! [A,L,M] :( ( left_apart_point(A,L)& right_apart_point(A,M) )=> ( unequally_directed_lines(L,M)| distinct_lines(L,M) ) ) )),
% 0.14/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.41 fof(f38,negated_conjecture,(
% 0.14/10.41 ~((! [A,L,M] :( ( left_apart_point(A,L)& right_apart_point(A,M) )=> ( unequally_directed_lines(L,M)| distinct_lines(L,M) ) ) ))),
% 0.14/10.41 inference(negated_conjecture,[status(cth)],[f37])).
% 0.14/10.41 fof(f113,plain,(
% 0.14/10.41 ![A,L]: (~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))),
% 0.14/10.41 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.14/10.41 fof(f114,plain,(
% 0.14/10.41 (![A,L]: ~left_apart_point(A,L))&(![A,L]: ~left_apart_point(A,reverse_line(L)))),
% 0.14/10.41 inference(miniscoping,[status(thm)],[f113])).
% 0.14/10.41 fof(f115,plain,(
% 0.14/10.41 ![X0,X1]: (~left_apart_point(X0,X1))),
% 0.14/10.41 inference(cnf_transformation,[status(thm)],[f114])).
% 0.14/10.41 fof(f152,plain,(
% 0.14/10.41 (?[A,L,M]: ((left_apart_point(A,L)&right_apart_point(A,M))&(~unequally_directed_lines(L,M)&~distinct_lines(L,M))))),
% 0.14/10.41 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.14/10.41 fof(f153,plain,(
% 0.14/10.41 ?[L,M]: ((?[A]: (left_apart_point(A,L)&right_apart_point(A,M)))&(~unequally_directed_lines(L,M)&~distinct_lines(L,M)))),
% 0.14/10.41 inference(miniscoping,[status(thm)],[f152])).
% 0.14/10.41 fof(f154,plain,(
% 0.14/10.41 ((left_apart_point(sK2_skl,sK0_skl)&right_apart_point(sK2_skl,sK1_skl))&(~unequally_directed_lines(sK0_skl,sK1_skl)&~distinct_lines(sK0_skl,sK1_skl)))),
% 0.14/10.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(L,sK0_skl),skolemize(M,sK1_skl),skolemize(A,sK2_skl)],[f153])).
% 0.14/10.41 fof(f155,plain,(
% 0.14/10.41 left_apart_point(sK2_skl,sK0_skl)),
% 0.14/10.41 inference(cnf_transformation,[status(thm)],[f154])).
% 0.14/10.41 fof(f165,plain,(
% 0.14/10.41 $false),
% 0.14/10.41 inference(backward_subsumption_resolution,[status(thm)],[f155,f115])).
% 0.14/10.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/10.45 % Elapsed time: 0.049358 seconds
% 0.14/10.45 % CPU time: 0.121878 seconds
% 0.14/10.45 % Total memory used: 19.239 MB
% 0.14/10.45 % Net memory used: 19.158 MB
%------------------------------------------------------------------------------