%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO238+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 : 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 12:26:13 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO238+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
% 0.12/0.36 % Computer : n017.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 20 14:15:12 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (! [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) ) ) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f15,axiom,(
% 0.12/0.39 (! [A,L] :~ ( left_apart_point(A,L)| left_apart_point(A,reverse_line(L)) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f32,conjecture,(
% 0.12/0.39 (! [A,B,C,L] :( ( divides_points(L,A,B)& divides_points(L,A,C) )=> ~ divides_points(L,B,C) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f33,negated_conjecture,(
% 0.12/0.39 ~((! [A,B,C,L] :( ( divides_points(L,A,B)& divides_points(L,A,C) )=> ~ divides_points(L,B,C) ) ))),
% 0.12/0.39 inference(negated_conjecture,[status(cth)],[f32])).
% 0.12/0.39 fof(f44,plain,(
% 0.12/0.39 ![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)))))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f3])).
% 0.12/0.39 fof(f45,plain,(
% 0.12/0.39 (![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)))))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f44])).
% 0.12/0.39 fof(f47,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~divides_points(X0,X1,X2)|left_apart_point(X1,X0)|left_apart_point(X2,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f45])).
% 0.12/0.39 fof(f92,plain,(
% 0.12/0.39 ![A,L]: (~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.12/0.39 fof(f93,plain,(
% 0.12/0.39 (![A,L]: ~left_apart_point(A,L))&(![A,L]: ~left_apart_point(A,reverse_line(L)))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f92])).
% 0.12/0.39 fof(f94,plain,(
% 0.12/0.39 ![X0,X1]: (~left_apart_point(X0,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f93])).
% 0.12/0.39 fof(f130,plain,(
% 0.12/0.39 (?[A,B,C,L]: ((divides_points(L,A,B)÷s_points(L,A,C))÷s_points(L,B,C)))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.12/0.39 fof(f131,plain,(
% 0.12/0.39 ?[B,C,L]: ((?[A]: (divides_points(L,A,B)÷s_points(L,A,C)))÷s_points(L,B,C))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f130])).
% 0.12/0.39 fof(f132,plain,(
% 0.12/0.39 ((divides_points(sK2_skl,sK3_skl,sK0_skl)÷s_points(sK2_skl,sK3_skl,sK1_skl))÷s_points(sK2_skl,sK0_skl,sK1_skl))),
% 0.12/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(B,sK0_skl),skolemize(C,sK1_skl),skolemize(L,sK2_skl),skolemize(A,sK3_skl)],[f131])).
% 0.12/0.39 fof(f133,plain,(
% 0.12/0.39 divides_points(sK2_skl,sK3_skl,sK0_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f132])).
% 0.12/0.39 fof(f143,plain,(
% 0.12/0.39 left_apart_point(sK3_skl,sK2_skl)|left_apart_point(sK0_skl,sK2_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f47,f133])).
% 0.12/0.39 fof(f144,definition,(
% 0.12/0.39 sQ0_spl <=> (left_apart_point(sK0_skl,sK2_skl))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f145,plain,(
% 0.12/0.39 left_apart_point(sK0_skl,sK2_skl)|~sQ0_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f144])).
% 0.12/0.39 fof(f151,definition,(
% 0.12/0.39 sQ2_spl <=> (left_apart_point(sK3_skl,sK2_skl))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f152,plain,(
% 0.12/0.39 left_apart_point(sK3_skl,sK2_skl)|~sQ2_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f151])).
% 0.12/0.39 fof(f155,plain,(
% 0.12/0.39 sQ2_spl|sQ0_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f143,f151,f144])).
% 0.12/0.39 fof(f180,plain,(
% 0.12/0.39 $false|~sQ0_spl),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f145,f94])).
% 0.12/0.39 fof(f181,plain,(
% 0.12/0.39 $false|~sQ2_spl),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f152,f94])).
% 0.12/0.39 fof(f187,plain,(
% 0.12/0.39 ~sQ0_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f180])).
% 0.12/0.39 fof(f188,plain,(
% 0.12/0.39 ~sQ2_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f181])).
% 0.12/0.39 fof(f189,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(sat_refutation,[status(thm)],[f155,f187,f188])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.037843 seconds
% 0.12/0.41 % CPU time: 0.086214 seconds
% 0.12/0.41 % Total memory used: 13.044 MB
% 0.12/0.41 % Net memory used: 13.006 MB
%------------------------------------------------------------------------------