%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO253+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 : n018.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 0.19s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO253+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 % Computer : n018.cluster.edu
% 0.19/0.41 % Model : x86_64 x86_64
% 0.19/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.41 % Memory : 8046.5625MB
% 0.19/0.41 % OS : Linux 6.8.0-71-generic
% 0.19/0.41 % CPULimit : 300
% 0.19/0.41 % WCLimit : 300
% 0.19/0.42 % DateTime : Sun Sep 20 14:43:12 UTC 2026
% 0.19/0.42 % CPUTime :
% 0.19/0.43 % Drodi V4.1.1
% 0.19/0.44 % Refutation found
% 0.19/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.44 fof(f1,axiom,(
% 0.19/0.44 (! [A,L] :( apart_point_and_line(A,L)<=> ( left_apart_point(A,L)| left_apart_point(A,reverse_line(L)) ) ) )),
% 0.19/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f15,axiom,(
% 0.19/0.44 (! [A,L] :~ ( left_apart_point(A,L)| left_apart_point(A,reverse_line(L)) ) )),
% 0.19/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f32,conjecture,(
% 0.19/0.44 (! [A,B,L] :( ( apart_point_and_line(A,L)& ~ apart_point_and_line(B,parallel_through_point(L,A)) )=> apart_point_and_line(B,L) ) )),
% 0.19/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f33,negated_conjecture,(
% 0.19/0.44 ~((! [A,B,L] :( ( apart_point_and_line(A,L)& ~ apart_point_and_line(B,parallel_through_point(L,A)) )=> apart_point_and_line(B,L) ) ))),
% 0.19/0.44 inference(negated_conjecture,[status(cth)],[f32])).
% 0.19/0.44 fof(f34,plain,(
% 0.19/0.44 ![A,L]: ((~apart_point_and_line(A,L)|(left_apart_point(A,L)|left_apart_point(A,reverse_line(L))))&(apart_point_and_line(A,L)|(~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))))),
% 0.19/0.44 inference(NNF_transformation,[status(thm)],[f1])).
% 0.19/0.44 fof(f35,plain,(
% 0.19/0.44 (![A,L]: (~apart_point_and_line(A,L)|(left_apart_point(A,L)|left_apart_point(A,reverse_line(L)))))&(![A,L]: (apart_point_and_line(A,L)|(~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))))),
% 0.19/0.44 inference(miniscoping,[status(thm)],[f34])).
% 0.19/0.44 fof(f36,plain,(
% 0.19/0.44 ![X0,X1]: (~apart_point_and_line(X0,X1)|left_apart_point(X0,X1)|left_apart_point(X0,reverse_line(X1)))),
% 0.19/0.44 inference(cnf_transformation,[status(thm)],[f35])).
% 0.19/0.44 fof(f92,plain,(
% 0.19/0.44 ![A,L]: (~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))),
% 0.19/0.44 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.19/0.44 fof(f93,plain,(
% 0.19/0.44 (![A,L]: ~left_apart_point(A,L))&(![A,L]: ~left_apart_point(A,reverse_line(L)))),
% 0.19/0.44 inference(miniscoping,[status(thm)],[f92])).
% 0.19/0.44 fof(f94,plain,(
% 0.19/0.44 ![X0,X1]: (~left_apart_point(X0,X1))),
% 0.19/0.44 inference(cnf_transformation,[status(thm)],[f93])).
% 0.19/0.44 fof(f130,plain,(
% 0.19/0.44 (?[A,B,L]: ((apart_point_and_line(A,L)&~apart_point_and_line(B,parallel_through_point(L,A)))&~apart_point_and_line(B,L)))),
% 0.19/0.44 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.19/0.44 fof(f131,plain,(
% 0.19/0.44 ?[B,L]: ((?[A]: (apart_point_and_line(A,L)&~apart_point_and_line(B,parallel_through_point(L,A))))&~apart_point_and_line(B,L))),
% 0.19/0.44 inference(miniscoping,[status(thm)],[f130])).
% 0.19/0.44 fof(f132,plain,(
% 0.19/0.44 ((apart_point_and_line(sK2_skl,sK1_skl)&~apart_point_and_line(sK0_skl,parallel_through_point(sK1_skl,sK2_skl)))&~apart_point_and_line(sK0_skl,sK1_skl))),
% 0.19/0.44 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])).
% 0.19/0.44 fof(f133,plain,(
% 0.19/0.44 apart_point_and_line(sK2_skl,sK1_skl)),
% 0.19/0.44 inference(cnf_transformation,[status(thm)],[f132])).
% 0.19/0.44 fof(f144,plain,(
% 0.19/0.44 ![X0,X1]: (~apart_point_and_line(X0,X1)|left_apart_point(X0,reverse_line(X1)))),
% 0.19/0.44 inference(backward_subsumption_resolution,[status(thm)],[f36,f94])).
% 0.19/0.44 fof(f145,plain,(
% 0.19/0.44 ![X0,X1]: (~apart_point_and_line(X0,X1))),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f144,f94])).
% 0.19/0.44 fof(f147,plain,(
% 0.19/0.44 $false),
% 0.19/0.44 inference(backward_subsumption_resolution,[status(thm)],[f133,f145])).
% 0.19/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.49 % Elapsed time: 0.060857 seconds
% 0.19/0.49 % CPU time: 0.053874 seconds
% 0.19/0.49 % Total memory used: 602.336 KB
% 0.19/0.49 % Net memory used: 600.720 KB
%------------------------------------------------------------------------------