%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO192+1 : 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 : n011.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 12:26:01 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO192+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n011.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 13:13:41 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f2,axiom,(
% 0.12/0.38 (! [X] : ~ distinct_lines(X,X) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f5,axiom,(
% 0.12/0.38 (! [X,Y,Z] :( distinct_lines(X,Y)=> ( distinct_lines(X,Z)| distinct_lines(Y,Z) ) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f9,axiom,(
% 0.12/0.38 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),X) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f10,axiom,(
% 0.12/0.38 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),Y) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f13,axiom,(
% 0.12/0.38 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f15,conjecture,(
% 0.12/0.38 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( apart_point_and_line(intersection_point(X,Y),Z)=> ( distinct_lines(X,Z)& distinct_lines(Y,Z) ) ) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f16,negated_conjecture,(
% 0.12/0.38 ~((! [X,Y,Z] :( convergent_lines(X,Y)=> ( apart_point_and_line(intersection_point(X,Y),Z)=> ( distinct_lines(X,Z)& distinct_lines(Y,Z) ) ) ) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f15])).
% 0.12/0.38 fof(f18,plain,(
% 0.12/0.38 ![X0]: (~distinct_lines(X0,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.38 fof(f23,plain,(
% 0.12/0.38 ![X,Y,Z]: (~distinct_lines(X,Y)|(distinct_lines(X,Z)|distinct_lines(Y,Z)))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.12/0.38 fof(f24,plain,(
% 0.12/0.38 ![X,Y]: (~distinct_lines(X,Y)|(![Z]: (distinct_lines(X,Z)|distinct_lines(Y,Z))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f23])).
% 0.12/0.38 fof(f25,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~distinct_lines(X0,X1)|distinct_lines(X0,X2)|distinct_lines(X1,X2))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.38 fof(f33,plain,(
% 0.12/0.38 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.12/0.38 fof(f34,plain,(
% 0.12/0.38 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.38 fof(f35,plain,(
% 0.12/0.38 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.12/0.38 fof(f36,plain,(
% 0.12/0.38 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f35])).
% 0.12/0.38 fof(f42,plain,(
% 0.12/0.38 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.12/0.38 fof(f43,plain,(
% 0.12/0.38 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f42])).
% 0.12/0.38 fof(f44,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f43])).
% 0.12/0.38 fof(f48,plain,(
% 0.12/0.38 (?[X,Y,Z]: (convergent_lines(X,Y)&(apart_point_and_line(intersection_point(X,Y),Z)&(~distinct_lines(X,Z)|~distinct_lines(Y,Z)))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.12/0.38 fof(f49,plain,(
% 0.12/0.38 ?[X,Y]: (convergent_lines(X,Y)&(?[Z]: (apart_point_and_line(intersection_point(X,Y),Z)&(~distinct_lines(X,Z)|~distinct_lines(Y,Z)))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f48])).
% 0.12/0.38 fof(f50,plain,(
% 0.12/0.38 (convergent_lines(sK0_skl,sK1_skl)&(apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK2_skl)&(~distinct_lines(sK0_skl,sK2_skl)|~distinct_lines(sK1_skl,sK2_skl))))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(Z,sK2_skl)],[f49])).
% 0.12/0.38 fof(f51,plain,(
% 0.12/0.38 convergent_lines(sK0_skl,sK1_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f50])).
% 0.12/0.38 fof(f52,plain,(
% 0.12/0.38 apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK2_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f50])).
% 0.12/0.38 fof(f53,plain,(
% 0.12/0.38 ~distinct_lines(sK0_skl,sK2_skl)|~distinct_lines(sK1_skl,sK2_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f50])).
% 0.12/0.38 fof(f54,definition,(
% 0.12/0.38 sQ0_spl <=> (distinct_lines(sK0_skl,sK2_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f56,plain,(
% 0.12/0.38 ~distinct_lines(sK0_skl,sK2_skl)|sQ0_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f54])).
% 0.12/0.38 fof(f57,definition,(
% 0.12/0.38 sQ1_spl <=> (distinct_lines(sK1_skl,sK2_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f59,plain,(
% 0.12/0.38 ~distinct_lines(sK1_skl,sK2_skl)|sQ1_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f57])).
% 0.12/0.38 fof(f60,plain,(
% 0.12/0.38 ~sQ0_spl|~sQ1_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f53,f54,f57])).
% 0.12/0.38 fof(f64,plain,(
% 0.12/0.38 ![X0]: (distinct_lines(sK2_skl,X0)|apart_point_and_line(intersection_point(sK0_skl,sK1_skl),X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f44,f52])).
% 0.12/0.38 fof(f75,plain,(
% 0.12/0.38 distinct_lines(sK2_skl,sK1_skl)|~convergent_lines(sK0_skl,sK1_skl)),
% 0.12/0.38 inference(resolution,[status(thm)],[f64,f36])).
% 0.12/0.38 fof(f76,plain,(
% 0.12/0.38 distinct_lines(sK2_skl,sK0_skl)|~convergent_lines(sK0_skl,sK1_skl)),
% 0.12/0.38 inference(resolution,[status(thm)],[f64,f34])).
% 0.12/0.38 fof(f81,definition,(
% 0.12/0.38 sQ2_spl <=> (distinct_lines(sK2_skl,sK1_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f82,plain,(
% 0.12/0.38 distinct_lines(sK2_skl,sK1_skl)|~sQ2_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f81])).
% 0.12/0.38 fof(f84,definition,(
% 0.12/0.38 sQ3_spl <=> (convergent_lines(sK0_skl,sK1_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f86,plain,(
% 0.12/0.38 ~convergent_lines(sK0_skl,sK1_skl)|sQ3_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f84])).
% 0.12/0.38 fof(f87,plain,(
% 0.12/0.38 sQ2_spl|~sQ3_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f75,f81,f84])).
% 0.12/0.38 fof(f88,definition,(
% 0.12/0.38 sQ4_spl <=> (distinct_lines(sK2_skl,sK0_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f89,plain,(
% 0.12/0.38 distinct_lines(sK2_skl,sK0_skl)|~sQ4_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f88])).
% 0.12/0.38 fof(f91,plain,(
% 0.12/0.38 sQ4_spl|~sQ3_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f76,f88,f84])).
% 0.12/0.38 fof(f92,plain,(
% 0.12/0.38 $false|sQ3_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f86,f51])).
% 0.12/0.38 fof(f93,plain,(
% 0.12/0.38 sQ3_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f92])).
% 0.12/0.38 fof(f97,plain,(
% 0.12/0.38 ![X0]: (distinct_lines(sK2_skl,X0)|distinct_lines(sK1_skl,X0)|~sQ2_spl)),
% 0.12/0.38 inference(resolution,[status(thm)],[f82,f25])).
% 0.12/0.38 fof(f98,plain,(
% 0.12/0.38 ![X0]: (distinct_lines(sK2_skl,X0)|distinct_lines(sK0_skl,X0)|~sQ4_spl)),
% 0.12/0.38 inference(resolution,[status(thm)],[f89,f25])).
% 0.12/0.38 fof(f100,plain,(
% 0.12/0.38 distinct_lines(sK1_skl,sK2_skl)|~sQ2_spl),
% 0.12/0.38 inference(resolution,[status(thm)],[f97,f18])).
% 0.12/0.38 fof(f139,plain,(
% 0.12/0.38 distinct_lines(sK0_skl,sK2_skl)|~sQ4_spl),
% 0.12/0.38 inference(resolution,[status(thm)],[f98,f18])).
% 0.12/0.38 fof(f140,plain,(
% 0.12/0.38 $false|sQ0_spl|~sQ4_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f139,f56])).
% 0.12/0.38 fof(f141,plain,(
% 0.12/0.38 sQ0_spl|~sQ4_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f140])).
% 0.12/0.38 fof(f142,plain,(
% 0.12/0.38 $false|~sQ2_spl|sQ1_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f59,f100])).
% 0.12/0.38 fof(f143,plain,(
% 0.12/0.38 ~sQ2_spl|sQ1_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f142])).
% 0.12/0.38 fof(f144,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(sat_refutation,[status(thm)],[f60,f87,f91,f93,f141,f143])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.045566 seconds
% 0.12/0.41 % CPU time: 0.125393 seconds
% 0.12/0.41 % Total memory used: 17.305 MB
% 0.12/0.41 % Net memory used: 16.887 MB
%------------------------------------------------------------------------------