%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO208+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 12:26:06 PM UTC 2026
% Result : Theorem 0.11s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO208+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n002.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 13:30:32 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.11/0.37 % Refutation found
% 0.11/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.37 fof(f15,axiom,(
% 0.11/0.37 (! [X,Y,Z] :( distinct_lines(Y,Z)=> ( apart_point_and_line(X,Y)| apart_point_and_line(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f16,conjecture,(
% 0.11/0.37 (! [X,Y,Z] :( ( ~ apart_point_and_line(X,Y)& ~ apart_point_and_line(X,Z)& ~ convergent_lines(Y,Z) )=> ~ distinct_lines(Y,Z) ) )),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f17,negated_conjecture,(
% 0.11/0.37 ~((! [X,Y,Z] :( ( ~ apart_point_and_line(X,Y)& ~ apart_point_and_line(X,Z)& ~ convergent_lines(Y,Z) )=> ~ distinct_lines(Y,Z) ) ))),
% 0.11/0.37 inference(negated_conjecture,[status(cth)],[f16])).
% 0.11/0.37 fof(f50,plain,(
% 0.11/0.37 ![X,Y,Z]: (~distinct_lines(Y,Z)|((apart_point_and_line(X,Y)|apart_point_and_line(X,Z))|convergent_lines(Y,Z)))),
% 0.11/0.37 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.11/0.37 fof(f51,plain,(
% 0.11/0.37 ![Y,Z]: (~distinct_lines(Y,Z)|((![X]: (apart_point_and_line(X,Y)|apart_point_and_line(X,Z)))|convergent_lines(Y,Z)))),
% 0.11/0.37 inference(miniscoping,[status(thm)],[f50])).
% 0.11/0.37 fof(f52,plain,(
% 0.11/0.37 ![X0,X1,X2]: (~distinct_lines(X0,X1)|apart_point_and_line(X2,X0)|apart_point_and_line(X2,X1)|convergent_lines(X0,X1))),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f51])).
% 0.11/0.37 fof(f53,plain,(
% 0.11/0.37 (?[X,Y,Z]: (((~apart_point_and_line(X,Y)&~apart_point_and_line(X,Z))&~convergent_lines(Y,Z))&distinct_lines(Y,Z)))),
% 0.11/0.37 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.11/0.37 fof(f54,plain,(
% 0.11/0.37 ?[Y,Z]: (((?[X]: (~apart_point_and_line(X,Y)&~apart_point_and_line(X,Z)))&~convergent_lines(Y,Z))&distinct_lines(Y,Z))),
% 0.11/0.37 inference(miniscoping,[status(thm)],[f53])).
% 0.11/0.37 fof(f55,plain,(
% 0.11/0.37 (((~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))),
% 0.11/0.37 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)],[f54])).
% 0.11/0.37 fof(f56,plain,(
% 0.11/0.37 ~apart_point_and_line(sK2_skl,sK0_skl)),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f55])).
% 0.11/0.37 fof(f57,plain,(
% 0.11/0.37 ~apart_point_and_line(sK2_skl,sK1_skl)),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f55])).
% 0.11/0.37 fof(f58,plain,(
% 0.11/0.37 ~convergent_lines(sK0_skl,sK1_skl)),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f55])).
% 0.11/0.37 fof(f59,plain,(
% 0.11/0.37 distinct_lines(sK0_skl,sK1_skl)),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f55])).
% 0.11/0.37 fof(f105,plain,(
% 0.11/0.37 ![X0]: (apart_point_and_line(X0,sK0_skl)|apart_point_and_line(X0,sK1_skl)|convergent_lines(sK0_skl,sK1_skl))),
% 0.11/0.37 inference(resolution,[status(thm)],[f52,f59])).
% 0.11/0.37 fof(f114,definition,(
% 0.11/0.37 ![X0]: (sQ7_spl <=> (apart_point_and_line(X0,sK0_skl)|apart_point_and_line(X0,sK1_skl)))),
% 0.11/0.37 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.37 fof(f115,plain,(
% 0.11/0.37 ![X0]: (apart_point_and_line(X0,sK0_skl)|apart_point_and_line(X0,sK1_skl)|~sQ7_spl)),
% 0.11/0.37 inference(component_clause,[status(thm)],[f114])).
% 0.11/0.37 fof(f117,definition,(
% 0.11/0.37 sQ8_spl <=> (convergent_lines(sK0_skl,sK1_skl))),
% 0.11/0.37 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.37 fof(f118,plain,(
% 0.11/0.37 convergent_lines(sK0_skl,sK1_skl)|~sQ8_spl),
% 0.11/0.37 inference(component_clause,[status(thm)],[f117])).
% 0.11/0.37 fof(f120,plain,(
% 0.11/0.37 sQ7_spl|sQ8_spl),
% 0.11/0.37 inference(split_clause,[status(thm)],[f105,f114,f117])).
% 0.11/0.37 fof(f129,plain,(
% 0.11/0.37 apart_point_and_line(sK2_skl,sK0_skl)|~sQ7_spl),
% 0.11/0.37 inference(resolution,[status(thm)],[f115,f57])).
% 0.11/0.37 fof(f134,plain,(
% 0.11/0.37 $false|~sQ7_spl),
% 0.11/0.37 inference(forward_subsumption_resolution,[status(thm)],[f129,f56])).
% 0.11/0.37 fof(f135,plain,(
% 0.11/0.37 ~sQ7_spl),
% 0.11/0.37 inference(contradiction_clause,[status(thm)],[f134])).
% 0.11/0.37 fof(f136,plain,(
% 0.11/0.37 $false|~sQ8_spl),
% 0.11/0.37 inference(forward_subsumption_resolution,[status(thm)],[f118,f58])).
% 0.11/0.37 fof(f137,plain,(
% 0.11/0.37 ~sQ8_spl),
% 0.11/0.37 inference(contradiction_clause,[status(thm)],[f136])).
% 0.11/0.37 fof(f138,plain,(
% 0.11/0.37 $false),
% 0.11/0.37 inference(sat_refutation,[status(thm)],[f120,f135,f137])).
% 0.11/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.39 % Elapsed time: 0.038482 seconds
% 0.11/0.39 % CPU time: 0.106871 seconds
% 0.11/0.39 % Total memory used: 13.261 MB
% 0.11/0.39 % Net memory used: 12.971 MB
%------------------------------------------------------------------------------