%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO264+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 : n009.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 12:26:17 PM UTC 2026
% Result : Theorem 0.15s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO264+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
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 14:50:57 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.15/0.38 % Refutation found
% 0.15/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.38 fof(f20,axiom,(
% 0.15/0.38 (! [A,L] :~ ( left_apart_point(A,L)| left_apart_point(A,reverse_line(L)) ) )),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f37,conjecture,(
% 0.15/0.38 (! [A,B,C,D] :( left_apart_point(C,line_connecting(A,B))=> ( ( right_apart_point(D,line_connecting(B,C))& right_apart_point(D,line_connecting(C,A)) )=> left_apart_point(D,line_connecting(A,B)) ) ) )),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f38,negated_conjecture,(
% 0.15/0.38 ~((! [A,B,C,D] :( left_apart_point(C,line_connecting(A,B))=> ( ( right_apart_point(D,line_connecting(B,C))& right_apart_point(D,line_connecting(C,A)) )=> left_apart_point(D,line_connecting(A,B)) ) ) ))),
% 0.15/0.38 inference(negated_conjecture,[status(cth)],[f37])).
% 0.15/0.38 fof(f113,plain,(
% 0.15/0.38 ![A,L]: (~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))),
% 0.15/0.38 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.15/0.38 fof(f114,plain,(
% 0.15/0.38 (![A,L]: ~left_apart_point(A,L))&(![A,L]: ~left_apart_point(A,reverse_line(L)))),
% 0.15/0.38 inference(miniscoping,[status(thm)],[f113])).
% 0.15/0.38 fof(f115,plain,(
% 0.15/0.38 ![X0,X1]: (~left_apart_point(X0,X1))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f114])).
% 0.15/0.38 fof(f152,plain,(
% 0.15/0.38 (?[A,B,C,D]: (left_apart_point(C,line_connecting(A,B))&((right_apart_point(D,line_connecting(B,C))&right_apart_point(D,line_connecting(C,A)))&~left_apart_point(D,line_connecting(A,B)))))),
% 0.15/0.38 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.15/0.38 fof(f153,plain,(
% 0.15/0.38 ?[A,B,C]: (left_apart_point(C,line_connecting(A,B))&(?[D]: ((right_apart_point(D,line_connecting(B,C))&right_apart_point(D,line_connecting(C,A)))&~left_apart_point(D,line_connecting(A,B)))))),
% 0.15/0.38 inference(miniscoping,[status(thm)],[f152])).
% 0.15/0.38 fof(f154,plain,(
% 0.15/0.38 (left_apart_point(sK2_skl,line_connecting(sK0_skl,sK1_skl))&((right_apart_point(sK3_skl,line_connecting(sK1_skl,sK2_skl))&right_apart_point(sK3_skl,line_connecting(sK2_skl,sK0_skl)))&~left_apart_point(sK3_skl,line_connecting(sK0_skl,sK1_skl))))),
% 0.15/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl)],[f153])).
% 0.15/0.38 fof(f155,plain,(
% 0.15/0.38 left_apart_point(sK2_skl,line_connecting(sK0_skl,sK1_skl))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f154])).
% 0.15/0.38 fof(f165,plain,(
% 0.15/0.38 $false),
% 0.15/0.38 inference(backward_subsumption_resolution,[status(thm)],[f155,f115])).
% 0.15/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.056614 seconds
% 0.15/0.43 % CPU time: 0.048705 seconds
% 0.15/0.43 % Total memory used: 1.207 MB
% 0.15/0.43 % Net memory used: 1.204 MB
%------------------------------------------------------------------------------