%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO208+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 12:26:06 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO208+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.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
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 13:26:53 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(f17,axiom,(
% 0.09/0.39 (! [X,Y,Z] :( distinct_lines(Y,Z)=> ( apart_point_and_line(X,Y)| apart_point_and_line(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f18,conjecture,(
% 0.09/0.39 (! [X,Y,Z] :( ( ~ apart_point_and_line(X,Y)& ~ apart_point_and_line(X,Z)& ~ convergent_lines(Y,Z) )=> ~ distinct_lines(Y,Z) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f19,negated_conjecture,(
% 0.09/0.39 ~((! [X,Y,Z] :( ( ~ apart_point_and_line(X,Y)& ~ apart_point_and_line(X,Z)& ~ convergent_lines(Y,Z) )=> ~ distinct_lines(Y,Z) ) ))),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f18])).
% 0.09/0.39 fof(f53,plain,(
% 0.09/0.39 ![X,Y,Z]: (~distinct_lines(Y,Z)|((apart_point_and_line(X,Y)|apart_point_and_line(X,Z))|convergent_lines(Y,Z)))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.09/0.39 fof(f54,plain,(
% 0.09/0.39 ![Y,Z]: (~distinct_lines(Y,Z)|((![X]: (apart_point_and_line(X,Y)|apart_point_and_line(X,Z)))|convergent_lines(Y,Z)))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f53])).
% 0.09/0.39 fof(f55,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~distinct_lines(X0,X1)|apart_point_and_line(X2,X0)|apart_point_and_line(X2,X1)|convergent_lines(X0,X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f54])).
% 0.09/0.39 fof(f56,plain,(
% 0.09/0.39 (?[X,Y,Z]: (((~apart_point_and_line(X,Y)&~apart_point_and_line(X,Z))&~convergent_lines(Y,Z))&distinct_lines(Y,Z)))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.09/0.39 fof(f57,plain,(
% 0.09/0.39 ?[Y,Z]: (((?[X]: (~apart_point_and_line(X,Y)&~apart_point_and_line(X,Z)))&~convergent_lines(Y,Z))&distinct_lines(Y,Z))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f56])).
% 0.09/0.39 fof(f58,plain,(
% 0.09/0.39 (((~apart_point_and_line(sK2_skl,sK0_skl)&~apart_point_and_line(sK2_skl,sK1_skl))&~convergent_lines(sK0_skl,sK1_skl))&distinct_lines(sK0_skl,sK1_skl))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y,sK0_skl),skolemize(Z,sK1_skl),skolemize(X,sK2_skl)],[f57])).
% 0.09/0.39 fof(f59,plain,(
% 0.09/0.39 ~apart_point_and_line(sK2_skl,sK0_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f58])).
% 0.09/0.39 fof(f60,plain,(
% 0.09/0.39 ~apart_point_and_line(sK2_skl,sK1_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f58])).
% 0.09/0.39 fof(f61,plain,(
% 0.09/0.39 ~convergent_lines(sK0_skl,sK1_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f58])).
% 0.09/0.39 fof(f62,plain,(
% 0.09/0.39 distinct_lines(sK0_skl,sK1_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f58])).
% 0.09/0.39 fof(f67,plain,(
% 0.09/0.39 ![X0]: (apart_point_and_line(X0,sK0_skl)|apart_point_and_line(X0,sK1_skl)|convergent_lines(sK0_skl,sK1_skl))),
% 0.09/0.39 inference(resolution,[status(thm)],[f55,f62])).
% 0.09/0.39 fof(f68,definition,(
% 0.09/0.39 ![X0]: (sQ0_spl <=> (apart_point_and_line(X0,sK0_skl)|apart_point_and_line(X0,sK1_skl)))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f69,plain,(
% 0.09/0.39 ![X0]: (apart_point_and_line(X0,sK0_skl)|apart_point_and_line(X0,sK1_skl)|~sQ0_spl)),
% 0.09/0.39 inference(component_clause,[status(thm)],[f68])).
% 0.09/0.39 fof(f71,definition,(
% 0.09/0.39 sQ1_spl <=> (convergent_lines(sK0_skl,sK1_skl))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f72,plain,(
% 0.09/0.39 convergent_lines(sK0_skl,sK1_skl)|~sQ1_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f71])).
% 0.09/0.39 fof(f74,plain,(
% 0.09/0.39 sQ0_spl|sQ1_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f67,f68,f71])).
% 0.09/0.39 fof(f75,plain,(
% 0.09/0.39 apart_point_and_line(sK2_skl,sK0_skl)|~sQ0_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f69,f60])).
% 0.09/0.39 fof(f77,plain,(
% 0.09/0.39 $false|~sQ0_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f75,f59])).
% 0.09/0.39 fof(f78,plain,(
% 0.09/0.39 ~sQ0_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f77])).
% 0.09/0.39 fof(f79,plain,(
% 0.09/0.39 $false|~sQ1_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f72,f61])).
% 0.09/0.39 fof(f80,plain,(
% 0.09/0.39 ~sQ1_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f79])).
% 0.09/0.39 fof(f81,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(sat_refutation,[status(thm)],[f74,f78,f80])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.030314 seconds
% 0.13/0.41 % CPU time: 0.052850 seconds
% 0.13/0.41 % Total memory used: 2.142 MB
% 0.13/0.41 % Net memory used: 2.113 MB
%------------------------------------------------------------------------------