%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO237+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 : 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 0.08s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO237+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
% 0.08/0.35 % Computer : n013.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
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 14:14:36 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.37 fof(f3,axiom,(
% 0.08/0.37 (! [A,B,L] :( divides_points(L,A,B)<=> ( ( left_apart_point(A,L)& left_apart_point(B,reverse_line(L)) )| ( left_apart_point(A,reverse_line(L))& left_apart_point(B,L) ) ) ) )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f15,axiom,(
% 0.08/0.37 (! [A,L] :~ ( left_apart_point(A,L)| left_apart_point(A,reverse_line(L)) ) )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f32,conjecture,(
% 0.08/0.37 (! [A,B,C,L] :( apart_point_and_line(C,L)=> ( divides_points(L,A,B)=> ( divides_points(L,A,C)| divides_points(L,B,C) ) ) ) )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f33,negated_conjecture,(
% 0.08/0.37 ~((! [A,B,C,L] :( apart_point_and_line(C,L)=> ( divides_points(L,A,B)=> ( divides_points(L,A,C)| divides_points(L,B,C) ) ) ) ))),
% 0.08/0.37 inference(negated_conjecture,[status(cth)],[f32])).
% 0.08/0.37 fof(f44,plain,(
% 0.08/0.37 ![A,B,L]: ((~divides_points(L,A,B)|((left_apart_point(A,L)&left_apart_point(B,reverse_line(L)))|(left_apart_point(A,reverse_line(L))&left_apart_point(B,L))))&(divides_points(L,A,B)|((~left_apart_point(A,L)|~left_apart_point(B,reverse_line(L)))&(~left_apart_point(A,reverse_line(L))|~left_apart_point(B,L)))))),
% 0.08/0.37 inference(NNF_transformation,[status(thm)],[f3])).
% 0.08/0.37 fof(f45,plain,(
% 0.08/0.37 (![A,B,L]: (~divides_points(L,A,B)|((left_apart_point(A,L)&left_apart_point(B,reverse_line(L)))|(left_apart_point(A,reverse_line(L))&left_apart_point(B,L)))))&(![A,B,L]: (divides_points(L,A,B)|((~left_apart_point(A,L)|~left_apart_point(B,reverse_line(L)))&(~left_apart_point(A,reverse_line(L))|~left_apart_point(B,L)))))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f44])).
% 0.08/0.37 fof(f47,plain,(
% 0.08/0.37 ![X0,X1,X2]: (~divides_points(X0,X1,X2)|left_apart_point(X1,X0)|left_apart_point(X2,X0))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f45])).
% 0.08/0.37 fof(f92,plain,(
% 0.08/0.37 ![A,L]: (~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.08/0.37 fof(f93,plain,(
% 0.08/0.37 (![A,L]: ~left_apart_point(A,L))&(![A,L]: ~left_apart_point(A,reverse_line(L)))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f92])).
% 0.08/0.37 fof(f94,plain,(
% 0.08/0.37 ![X0,X1]: (~left_apart_point(X0,X1))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f93])).
% 0.08/0.37 fof(f130,plain,(
% 0.08/0.37 (?[A,B,C,L]: (apart_point_and_line(C,L)&(divides_points(L,A,B)&(~divides_points(L,A,C)&~divides_points(L,B,C)))))),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.08/0.37 fof(f131,plain,(
% 0.08/0.37 ?[C,L]: (apart_point_and_line(C,L)&(?[A,B]: (divides_points(L,A,B)&(~divides_points(L,A,C)&~divides_points(L,B,C)))))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f130])).
% 0.08/0.37 fof(f132,plain,(
% 0.08/0.37 (apart_point_and_line(sK0_skl,sK1_skl)&(divides_points(sK1_skl,sK2_skl,sK3_skl)&(~divides_points(sK1_skl,sK2_skl,sK0_skl)&~divides_points(sK1_skl,sK3_skl,sK0_skl))))),
% 0.08/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(C,sK0_skl),skolemize(L,sK1_skl),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f131])).
% 0.08/0.37 fof(f134,plain,(
% 0.08/0.37 divides_points(sK1_skl,sK2_skl,sK3_skl)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f132])).
% 0.08/0.37 fof(f142,plain,(
% 0.08/0.37 ![X0,X1,X2]: (~divides_points(X0,X1,X2)|left_apart_point(X2,X0))),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f47,f94])).
% 0.08/0.37 fof(f143,plain,(
% 0.08/0.37 left_apart_point(sK3_skl,sK1_skl)),
% 0.08/0.37 inference(resolution,[status(thm)],[f142,f134])).
% 0.08/0.37 fof(f144,plain,(
% 0.08/0.37 $false),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f143,f94])).
% 0.08/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.40 % Elapsed time: 0.045515 seconds
% 0.11/0.40 % CPU time: 0.103236 seconds
% 0.11/0.40 % Total memory used: 15.420 MB
% 0.11/0.40 % Net memory used: 15.377 MB
%------------------------------------------------------------------------------