%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO253+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 : n007.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 0.10s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO253+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
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 14:36:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38 fof(f2,axiom,(
% 0.10/0.38 (! [X,Y] :( right_apart_point(X,Y)<=> left_apart_point(X,reverse_line(Y)) ) )),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f6,axiom,(
% 0.10/0.38 (! [A,L] :( apart_point_and_line(A,L)<=> ( left_apart_point(A,L)| right_apart_point(A,L) ) ) )),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f20,axiom,(
% 0.10/0.38 (! [A,L] :~ ( left_apart_point(A,L)| left_apart_point(A,reverse_line(L)) ) )),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f37,conjecture,(
% 0.10/0.38 (! [A,B,L] :( ( apart_point_and_line(A,L)& incident_point_and_line(B,parallel_through_point(L,A)) )=> apart_point_and_line(B,L) ) )),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f38,negated_conjecture,(
% 0.10/0.38 ~((! [A,B,L] :( ( apart_point_and_line(A,L)& incident_point_and_line(B,parallel_through_point(L,A)) )=> apart_point_and_line(B,L) ) ))),
% 0.10/0.38 inference(negated_conjecture,[status(cth)],[f37])).
% 0.10/0.38 fof(f43,plain,(
% 0.10/0.38 ![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))))),
% 0.10/0.38 inference(NNF_transformation,[status(thm)],[f2])).
% 0.10/0.38 fof(f44,plain,(
% 0.10/0.38 (![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))))),
% 0.10/0.38 inference(miniscoping,[status(thm)],[f43])).
% 0.10/0.38 fof(f45,plain,(
% 0.10/0.38 ![X0,X1]: (~right_apart_point(X0,X1)|left_apart_point(X0,reverse_line(X1)))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f44])).
% 0.10/0.38 fof(f59,plain,(
% 0.10/0.38 ![A,L]: ((~apart_point_and_line(A,L)|(left_apart_point(A,L)|right_apart_point(A,L)))&(apart_point_and_line(A,L)|(~left_apart_point(A,L)&~right_apart_point(A,L))))),
% 0.10/0.38 inference(NNF_transformation,[status(thm)],[f6])).
% 0.10/0.38 fof(f60,plain,(
% 0.10/0.38 (![A,L]: (~apart_point_and_line(A,L)|(left_apart_point(A,L)|right_apart_point(A,L))))&(![A,L]: (apart_point_and_line(A,L)|(~left_apart_point(A,L)&~right_apart_point(A,L))))),
% 0.10/0.38 inference(miniscoping,[status(thm)],[f59])).
% 0.10/0.38 fof(f61,plain,(
% 0.10/0.38 ![X0,X1]: (~apart_point_and_line(X0,X1)|left_apart_point(X0,X1)|right_apart_point(X0,X1))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f60])).
% 0.10/0.38 fof(f113,plain,(
% 0.10/0.38 ![A,L]: (~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))),
% 0.10/0.38 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.10/0.38 fof(f114,plain,(
% 0.10/0.38 (![A,L]: ~left_apart_point(A,L))&(![A,L]: ~left_apart_point(A,reverse_line(L)))),
% 0.10/0.38 inference(miniscoping,[status(thm)],[f113])).
% 0.10/0.38 fof(f115,plain,(
% 0.10/0.38 ![X0,X1]: (~left_apart_point(X0,X1))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f114])).
% 0.10/0.38 fof(f152,plain,(
% 0.10/0.38 (?[A,B,L]: ((apart_point_and_line(A,L)&incident_point_and_line(B,parallel_through_point(L,A)))&~apart_point_and_line(B,L)))),
% 0.10/0.38 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.10/0.38 fof(f153,plain,(
% 0.10/0.38 ?[B,L]: ((?[A]: (apart_point_and_line(A,L)&incident_point_and_line(B,parallel_through_point(L,A))))&~apart_point_and_line(B,L))),
% 0.10/0.38 inference(miniscoping,[status(thm)],[f152])).
% 0.10/0.38 fof(f154,plain,(
% 0.10/0.38 ((apart_point_and_line(sK2_skl,sK1_skl)&incident_point_and_line(sK0_skl,parallel_through_point(sK1_skl,sK2_skl)))&~apart_point_and_line(sK0_skl,sK1_skl))),
% 0.10/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(B,sK0_skl),skolemize(L,sK1_skl),skolemize(A,sK2_skl)],[f153])).
% 0.10/0.38 fof(f155,plain,(
% 0.10/0.38 apart_point_and_line(sK2_skl,sK1_skl)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f154])).
% 0.10/0.38 fof(f163,plain,(
% 0.10/0.38 left_apart_point(sK2_skl,sK1_skl)|right_apart_point(sK2_skl,sK1_skl)),
% 0.10/0.38 inference(resolution,[status(thm)],[f61,f155])).
% 0.10/0.38 fof(f164,definition,(
% 0.10/0.38 sQ0_spl <=> (left_apart_point(sK2_skl,sK1_skl))),
% 0.10/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.38 fof(f165,plain,(
% 0.10/0.38 left_apart_point(sK2_skl,sK1_skl)|~sQ0_spl),
% 0.10/0.38 inference(component_clause,[status(thm)],[f164])).
% 0.10/0.38 fof(f167,definition,(
% 0.10/0.38 sQ1_spl <=> (right_apart_point(sK2_skl,sK1_skl))),
% 0.10/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f168,plain,(
% 0.10/0.41 right_apart_point(sK2_skl,sK1_skl)|~sQ1_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f167])).
% 0.10/0.41 fof(f170,plain,(
% 0.10/0.41 sQ0_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f163,f164,f167])).
% 0.10/0.41 fof(f173,plain,(
% 0.10/0.41 $false|~sQ0_spl),
% 0.10/0.41 inference(backward_subsumption_resolution,[status(thm)],[f165,f115])).
% 0.10/0.41 fof(f174,plain,(
% 0.10/0.41 ~sQ0_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f173])).
% 0.10/0.41 fof(f177,plain,(
% 0.10/0.41 $false|~sQ1_spl),
% 0.10/0.41 inference(backward_subsumption_resolution,[status(thm)],[f168,f178])).
% 0.10/0.41 fof(f178,plain,(
% 0.10/0.41 ![X0,X1]: (~right_apart_point(X0,X1))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f45,f115])).
% 0.10/0.41 fof(f179,plain,(
% 0.10/0.41 ~sQ1_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f177])).
% 0.10/0.41 fof(f180,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f170,f174,f179])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.48 % Elapsed time: 0.102786 seconds
% 0.14/0.48 % CPU time: 0.062830 seconds
% 0.14/0.48 % Total memory used: 614.336 KB
% 0.14/0.48 % Net memory used: 613.648 KB
%------------------------------------------------------------------------------