%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO238+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 : n011.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 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO238+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
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 14:16:39 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f2,axiom,(
% 0.09/0.39 (! [X,Y] :( right_apart_point(X,Y)<=> left_apart_point(X,reverse_line(Y)) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f8,axiom,(
% 0.09/0.39 (! [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) ) ) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f20,axiom,(
% 0.09/0.39 (! [A,L] :~ ( left_apart_point(A,L)| left_apart_point(A,reverse_line(L)) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f37,conjecture,(
% 0.09/0.39 (! [A,B,C,L] :( ( divides_points(L,A,B)& divides_points(L,A,C) )=> ~ divides_points(L,B,C) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f38,negated_conjecture,(
% 0.09/0.39 ~((! [A,B,C,L] :( ( divides_points(L,A,B)& divides_points(L,A,C) )=> ~ divides_points(L,B,C) ) ))),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f37])).
% 0.09/0.39 fof(f43,plain,(
% 0.09/0.39 ![X,Y]: ((~right_apart_point(X,Y)|left_apart_point(X,reverse_line(Y)))&(right_apart_point(X,Y)|~left_apart_point(X,reverse_line(Y))))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f44,plain,(
% 0.09/0.39 (![X,Y]: (~right_apart_point(X,Y)|left_apart_point(X,reverse_line(Y))))&(![X,Y]: (right_apart_point(X,Y)|~left_apart_point(X,reverse_line(Y))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f43])).
% 0.09/0.39 fof(f45,plain,(
% 0.09/0.39 ![X0,X1]: (~right_apart_point(X0,X1)|left_apart_point(X0,reverse_line(X1)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f44])).
% 0.09/0.39 fof(f69,plain,(
% 0.09/0.39 ![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)))))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f8])).
% 0.09/0.39 fof(f70,plain,(
% 0.09/0.39 (![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)))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f69])).
% 0.09/0.39 fof(f71,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~divides_points(X0,X1,X2)|left_apart_point(X1,X0)|right_apart_point(X1,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f70])).
% 0.09/0.39 fof(f113,plain,(
% 0.09/0.39 ![A,L]: (~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.09/0.39 fof(f114,plain,(
% 0.09/0.39 (![A,L]: ~left_apart_point(A,L))&(![A,L]: ~left_apart_point(A,reverse_line(L)))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f113])).
% 0.09/0.39 fof(f115,plain,(
% 0.09/0.39 ![X0,X1]: (~left_apart_point(X0,X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f114])).
% 0.09/0.39 fof(f152,plain,(
% 0.09/0.39 (?[A,B,C,L]: ((divides_points(L,A,B)÷s_points(L,A,C))÷s_points(L,B,C)))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.09/0.39 fof(f153,plain,(
% 0.09/0.39 ?[B,C,L]: ((?[A]: (divides_points(L,A,B)÷s_points(L,A,C)))÷s_points(L,B,C))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f152])).
% 0.09/0.39 fof(f154,plain,(
% 0.09/0.39 ((divides_points(sK2_skl,sK3_skl,sK0_skl)÷s_points(sK2_skl,sK3_skl,sK1_skl))÷s_points(sK2_skl,sK0_skl,sK1_skl))),
% 0.09/0.39 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)],[f153])).
% 0.09/0.39 fof(f157,plain,(
% 0.09/0.39 divides_points(sK2_skl,sK0_skl,sK1_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f154])).
% 0.09/0.39 fof(f163,plain,(
% 0.09/0.39 ![X0,X1]: (~right_apart_point(X0,X1))),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f45,f115])).
% 0.09/0.39 fof(f165,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~divides_points(X0,X1,X2)|right_apart_point(X1,X0))),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f71,f115])).
% 0.09/0.39 fof(f166,plain,(
% 0.09/0.39 right_apart_point(sK0_skl,sK2_skl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f165,f157])).
% 0.09/0.39 fof(f169,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f166,f163])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41 % Elapsed time: 0.037030 seconds
% 0.09/0.41 % CPU time: 0.078759 seconds
% 0.09/0.41 % Total memory used: 9.019 MB
% 0.09/0.41 % Net memory used: 8.994 MB
%------------------------------------------------------------------------------