%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO251+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 12:26:15 PM UTC 2026
% Result : Theorem 0.08s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO251+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 14:44:01 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.40 fof(f2,axiom,(
% 0.08/0.40 (! [X,Y] :( right_apart_point(X,Y)<=> left_apart_point(X,reverse_line(Y)) ) )),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f20,axiom,(
% 0.08/0.40 (! [A,L] :~ ( left_apart_point(A,L)| left_apart_point(A,reverse_line(L)) ) )),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f37,conjecture,(
% 0.08/0.40 (! [A,B,L] :( right_apart_point(B,parallel_through_point(L,A))=> left_apart_point(A,parallel_through_point(L,B)) ) )),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f38,negated_conjecture,(
% 0.08/0.40 ~((! [A,B,L] :( right_apart_point(B,parallel_through_point(L,A))=> left_apart_point(A,parallel_through_point(L,B)) ) ))),
% 0.08/0.40 inference(negated_conjecture,[status(cth)],[f37])).
% 0.08/0.40 fof(f43,plain,(
% 0.08/0.40 ![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))))),
% 0.08/0.40 inference(NNF_transformation,[status(thm)],[f2])).
% 0.08/0.40 fof(f44,plain,(
% 0.08/0.40 (![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))))),
% 0.08/0.40 inference(miniscoping,[status(thm)],[f43])).
% 0.08/0.40 fof(f45,plain,(
% 0.08/0.40 ![X0,X1]: (~right_apart_point(X0,X1)|left_apart_point(X0,reverse_line(X1)))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f44])).
% 0.08/0.40 fof(f113,plain,(
% 0.08/0.40 ![A,L]: (~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))),
% 0.08/0.40 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.08/0.40 fof(f114,plain,(
% 0.08/0.40 (![A,L]: ~left_apart_point(A,L))&(![A,L]: ~left_apart_point(A,reverse_line(L)))),
% 0.08/0.40 inference(miniscoping,[status(thm)],[f113])).
% 0.08/0.40 fof(f115,plain,(
% 0.08/0.40 ![X0,X1]: (~left_apart_point(X0,X1))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f114])).
% 0.08/0.40 fof(f152,plain,(
% 0.08/0.40 (?[A,B,L]: (right_apart_point(B,parallel_through_point(L,A))&~left_apart_point(A,parallel_through_point(L,B))))),
% 0.08/0.40 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.08/0.40 fof(f153,plain,(
% 0.08/0.40 (right_apart_point(sK1_skl,parallel_through_point(sK2_skl,sK0_skl))&~left_apart_point(sK0_skl,parallel_through_point(sK2_skl,sK1_skl)))),
% 0.08/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(L,sK2_skl)],[f152])).
% 0.08/0.40 fof(f154,plain,(
% 0.08/0.40 right_apart_point(sK1_skl,parallel_through_point(sK2_skl,sK0_skl))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f153])).
% 0.08/0.40 fof(f162,plain,(
% 0.08/0.40 ![X0,X1]: (~right_apart_point(X0,X1))),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f45,f115])).
% 0.08/0.40 fof(f163,plain,(
% 0.08/0.40 $false),
% 0.08/0.40 inference(backward_subsumption_resolution,[status(thm)],[f154,f162])).
% 0.08/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.42 % Elapsed time: 0.044955 seconds
% 0.08/0.42 % CPU time: 0.115866 seconds
% 0.08/0.42 % Total memory used: 19.173 MB
% 0.08/0.42 % Net memory used: 19.104 MB
%------------------------------------------------------------------------------