%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO237+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 : n002.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 0.08s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO237+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
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 14:18:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.39 fof(f8,axiom,(
% 0.08/0.39 (! [A,B,L] :( divides_points(L,A,B)<=> ( ( left_apart_point(A,L)& right_apart_point(B,L) )| ( right_apart_point(A,L)& left_apart_point(B,L) ) ) ) )),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f20,axiom,(
% 0.08/0.39 (! [A,L] :~ ( left_apart_point(A,L)| left_apart_point(A,reverse_line(L)) ) )),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f37,conjecture,(
% 0.08/0.39 (! [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) ) ) ) )),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f38,negated_conjecture,(
% 0.08/0.39 ~((! [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) ) ) ) ))),
% 0.08/0.39 inference(negated_conjecture,[status(cth)],[f37])).
% 0.08/0.39 fof(f69,plain,(
% 0.08/0.39 ![A,B,L]: ((~divides_points(L,A,B)|((left_apart_point(A,L)&right_apart_point(B,L))|(right_apart_point(A,L)&left_apart_point(B,L))))&(divides_points(L,A,B)|((~left_apart_point(A,L)|~right_apart_point(B,L))&(~right_apart_point(A,L)|~left_apart_point(B,L)))))),
% 0.08/0.39 inference(NNF_transformation,[status(thm)],[f8])).
% 0.08/0.39 fof(f70,plain,(
% 0.08/0.39 (![A,B,L]: (~divides_points(L,A,B)|((left_apart_point(A,L)&right_apart_point(B,L))|(right_apart_point(A,L)&left_apart_point(B,L)))))&(![A,B,L]: (divides_points(L,A,B)|((~left_apart_point(A,L)|~right_apart_point(B,L))&(~right_apart_point(A,L)|~left_apart_point(B,L)))))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f69])).
% 0.08/0.39 fof(f72,plain,(
% 0.08/0.39 ![X0,X1,X2]: (~divides_points(X0,X1,X2)|left_apart_point(X1,X0)|left_apart_point(X2,X0))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f70])).
% 0.08/0.39 fof(f113,plain,(
% 0.08/0.39 ![A,L]: (~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))),
% 0.08/0.39 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.08/0.39 fof(f114,plain,(
% 0.08/0.39 (![A,L]: ~left_apart_point(A,L))&(![A,L]: ~left_apart_point(A,reverse_line(L)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f113])).
% 0.08/0.39 fof(f115,plain,(
% 0.08/0.39 ![X0,X1]: (~left_apart_point(X0,X1))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f114])).
% 0.08/0.39 fof(f152,plain,(
% 0.08/0.39 (?[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)))))),
% 0.08/0.39 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.08/0.39 fof(f153,plain,(
% 0.08/0.39 ?[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)))))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f152])).
% 0.08/0.39 fof(f154,plain,(
% 0.08/0.39 (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))))),
% 0.08/0.39 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)],[f153])).
% 0.08/0.39 fof(f156,plain,(
% 0.08/0.39 divides_points(sK1_skl,sK2_skl,sK3_skl)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f154])).
% 0.08/0.39 fof(f175,definition,(
% 0.08/0.39 sQ2_spl <=> (left_apart_point(sK2_skl,sK1_skl))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f176,plain,(
% 0.08/0.39 left_apart_point(sK2_skl,sK1_skl)|~sQ2_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f175])).
% 0.08/0.39 fof(f182,plain,(
% 0.08/0.39 left_apart_point(sK2_skl,sK1_skl)|left_apart_point(sK3_skl,sK1_skl)),
% 0.08/0.39 inference(resolution,[status(thm)],[f72,f156])).
% 0.08/0.39 fof(f183,definition,(
% 0.08/0.39 sQ4_spl <=> (left_apart_point(sK3_skl,sK1_skl))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f184,plain,(
% 0.08/0.39 left_apart_point(sK3_skl,sK1_skl)|~sQ4_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f183])).
% 0.08/0.39 fof(f186,plain,(
% 0.08/0.39 sQ2_spl|sQ4_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f182,f175,f183])).
% 0.08/0.39 fof(f195,plain,(
% 0.08/0.39 $false|~sQ2_spl),
% 0.08/0.39 inference(backward_subsumption_resolution,[status(thm)],[f176,f115])).
% 0.08/0.39 fof(f198,plain,(
% 0.08/0.39 ~sQ2_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f195])).
% 0.08/0.39 fof(f200,plain,(
% 0.08/0.39 $false|~sQ4_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f184,f115])).
% 0.08/0.39 fof(f201,plain,(
% 0.08/0.39 ~sQ4_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f200])).
% 0.08/0.39 fof(f202,plain,(
% 0.08/0.39 $false),
% 0.08/0.39 inference(sat_refutation,[status(thm)],[f186,f198,f201])).
% 0.08/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.43 % Elapsed time: 0.047768 seconds
% 0.08/0.43 % CPU time: 0.112785 seconds
% 0.08/0.43 % Total memory used: 19.226 MB
% 0.08/0.43 % Net memory used: 19.169 MB
%------------------------------------------------------------------------------