%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO191+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 : n003.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 4.09s 0.95s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO191+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
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 13:21:30 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 4.09/0.95 % Refutation found
% 4.09/0.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.09/0.95 % SZS output start CNFRefutation for theBenchmark
% 4.09/0.95 fof(f2,axiom,(
% 4.09/0.95 (! [X] : ~ distinct_lines(X,X) )),
% 4.09/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.09/0.95 fof(f3,axiom,(
% 4.09/0.95 (! [X] : ~ convergent_lines(X,X) )),
% 4.09/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.09/0.95 fof(f5,axiom,(
% 4.09/0.95 (! [X,Y,Z] :( distinct_lines(X,Y)=> ( distinct_lines(X,Z)| distinct_lines(Y,Z) ) ) )),
% 4.09/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.09/0.95 fof(f9,axiom,(
% 4.09/0.95 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),X) ) )),
% 4.09/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.09/0.95 fof(f10,axiom,(
% 4.09/0.95 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),Y) ) )),
% 4.09/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.09/0.95 fof(f11,axiom,(
% 4.09/0.95 (! [X,Y,U,V] :( ( distinct_points(X,Y)& distinct_lines(U,V) )=> ( apart_point_and_line(X,U)| apart_point_and_line(X,V)| apart_point_and_line(Y,U)| apart_point_and_line(Y,V) ) ) )),
% 4.09/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.09/0.95 fof(f12,axiom,(
% 4.09/0.95 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_points(X,Z)| apart_point_and_line(Z,Y) ) ) )),
% 4.09/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.09/0.95 fof(f14,axiom,(
% 4.09/0.95 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( distinct_lines(Y,Z)| convergent_lines(X,Z) ) ) )),
% 4.09/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.09/0.95 fof(f15,conjecture,(
% 4.09/0.95 (! [X,Y,U,V] :( ( convergent_lines(X,Y)& convergent_lines(U,V)& ( apart_point_and_line(intersection_point(X,Y),U)| apart_point_and_line(intersection_point(X,Y),V) ) )=> ( apart_point_and_line(intersection_point(U,V),X)| apart_point_and_line(intersection_point(U,V),Y) ) ) )),
% 4.09/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.09/0.95 fof(f16,negated_conjecture,(
% 4.09/0.95 ~((! [X,Y,U,V] :( ( convergent_lines(X,Y)& convergent_lines(U,V)& ( apart_point_and_line(intersection_point(X,Y),U)| apart_point_and_line(intersection_point(X,Y),V) ) )=> ( apart_point_and_line(intersection_point(U,V),X)| apart_point_and_line(intersection_point(U,V),Y) ) ) ))),
% 4.09/0.95 inference(negated_conjecture,[status(cth)],[f15])).
% 4.09/0.95 fof(f18,plain,(
% 4.09/0.95 ![X0]: (~distinct_lines(X0,X0))),
% 4.09/0.95 inference(cnf_transformation,[status(thm)],[f2])).
% 4.09/0.95 fof(f19,plain,(
% 4.09/0.95 ![X0]: (~convergent_lines(X0,X0))),
% 4.09/0.95 inference(cnf_transformation,[status(thm)],[f3])).
% 4.09/0.95 fof(f23,plain,(
% 4.09/0.95 ![X,Y,Z]: (~distinct_lines(X,Y)|(distinct_lines(X,Z)|distinct_lines(Y,Z)))),
% 4.09/0.95 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 4.09/0.95 fof(f24,plain,(
% 4.09/0.95 ![X,Y]: (~distinct_lines(X,Y)|(![Z]: (distinct_lines(X,Z)|distinct_lines(Y,Z))))),
% 4.09/0.95 inference(miniscoping,[status(thm)],[f23])).
% 4.09/0.95 fof(f25,plain,(
% 4.09/0.95 ![X0,X1,X2]: (~distinct_lines(X0,X1)|distinct_lines(X0,X2)|distinct_lines(X1,X2))),
% 4.09/0.95 inference(cnf_transformation,[status(thm)],[f24])).
% 4.09/0.95 fof(f33,plain,(
% 4.09/0.95 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X))),
% 4.09/0.95 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 4.09/0.95 fof(f34,plain,(
% 4.09/0.95 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 4.09/0.95 inference(cnf_transformation,[status(thm)],[f33])).
% 4.09/0.95 fof(f35,plain,(
% 4.09/0.95 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y))),
% 4.09/0.95 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 4.09/0.95 fof(f36,plain,(
% 4.09/0.95 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 4.09/0.95 inference(cnf_transformation,[status(thm)],[f35])).
% 4.09/0.95 fof(f37,plain,(
% 4.09/0.95 ![X,Y,U,V]: ((~distinct_points(X,Y)|~distinct_lines(U,V))|(((apart_point_and_line(X,U)|apart_point_and_line(X,V))|apart_point_and_line(Y,U))|apart_point_and_line(Y,V)))),
% 4.09/0.95 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 4.09/0.95 fof(f38,plain,(
% 4.09/0.95 ![X0,X1,X2,X3]: (~distinct_points(X0,X1)|~distinct_lines(X2,X3)|apart_point_and_line(X0,X2)|apart_point_and_line(X0,X3)|apart_point_and_line(X1,X2)|apart_point_and_line(X1,X3))),
% 4.09/0.95 inference(cnf_transformation,[status(thm)],[f37])).
% 4.09/0.95 fof(f39,plain,(
% 4.09/0.95 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))),
% 4.09/0.95 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 4.09/0.95 fof(f40,plain,(
% 4.09/0.95 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_points(X,Z)|apart_point_and_line(Z,Y))))),
% 4.09/0.95 inference(miniscoping,[status(thm)],[f39])).
% 4.09/0.95 fof(f41,plain,(
% 4.09/0.95 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_points(X0,X2)|apart_point_and_line(X2,X1))),
% 4.09/0.95 inference(cnf_transformation,[status(thm)],[f40])).
% 4.09/0.95 fof(f45,plain,(
% 4.09/0.95 ![X,Y,Z]: (~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))),
% 4.09/0.95 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 4.09/0.95 fof(f46,plain,(
% 4.09/0.95 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (distinct_lines(Y,Z)|convergent_lines(X,Z))))),
% 4.09/0.95 inference(miniscoping,[status(thm)],[f45])).
% 4.09/0.95 fof(f47,plain,(
% 4.09/0.95 ![X0,X1,X2]: (~convergent_lines(X0,X1)|distinct_lines(X1,X2)|convergent_lines(X0,X2))),
% 4.09/0.95 inference(cnf_transformation,[status(thm)],[f46])).
% 4.09/0.95 fof(f48,plain,(
% 4.09/0.95 (?[X,Y,U,V]: (((convergent_lines(X,Y)&convergent_lines(U,V))&(apart_point_and_line(intersection_point(X,Y),U)|apart_point_and_line(intersection_point(X,Y),V)))&(~apart_point_and_line(intersection_point(U,V),X)&~apart_point_and_line(intersection_point(U,V),Y))))),
% 4.09/0.95 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 4.09/0.95 fof(f49,plain,(
% 4.09/0.95 (((convergent_lines(sK0_skl,sK1_skl)&convergent_lines(sK2_skl,sK3_skl))&(apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK2_skl)|apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK3_skl)))&(~apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK0_skl)&~apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK1_skl)))),
% 4.09/0.95 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(U,sK2_skl),skolemize(V,sK3_skl)],[f48])).
% 4.09/0.95 fof(f50,plain,(
% 4.09/0.95 convergent_lines(sK0_skl,sK1_skl)),
% 4.09/0.95 inference(cnf_transformation,[status(thm)],[f49])).
% 4.09/0.95 fof(f51,plain,(
% 4.09/0.95 convergent_lines(sK2_skl,sK3_skl)),
% 4.09/0.95 inference(cnf_transformation,[status(thm)],[f49])).
% 4.09/0.95 fof(f52,plain,(
% 4.09/0.95 apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK2_skl)|apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK3_skl)),
% 4.09/0.95 inference(cnf_transformation,[status(thm)],[f49])).
% 4.09/0.95 fof(f53,plain,(
% 4.09/0.95 ~apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK0_skl)),
% 4.09/0.95 inference(cnf_transformation,[status(thm)],[f49])).
% 4.09/0.95 fof(f54,plain,(
% 4.09/0.95 ~apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK1_skl)),
% 4.09/0.95 inference(cnf_transformation,[status(thm)],[f49])).
% 4.09/0.95 fof(f55,definition,(
% 4.09/0.95 sQ0_spl <=> (apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK2_skl))),
% 4.09/0.95 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 4.09/0.95 fof(f56,plain,(
% 4.09/0.95 apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK2_skl)|~sQ0_spl),
% 4.09/0.95 inference(component_clause,[status(thm)],[f55])).
% 4.09/0.95 fof(f58,definition,(
% 4.09/0.95 sQ1_spl <=> (apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK3_skl))),
% 4.09/0.95 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 4.09/0.95 fof(f59,plain,(
% 4.09/0.95 apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK3_skl)|~sQ1_spl),
% 4.09/0.95 inference(component_clause,[status(thm)],[f58])).
% 4.09/0.95 fof(f61,plain,(
% 4.09/0.95 sQ0_spl|sQ1_spl),
% 4.09/0.95 inference(split_clause,[status(thm)],[f52,f55,f58])).
% 4.09/0.95 fof(f102,plain,(
% 4.09/0.95 ![X0,X1]: (~distinct_points(X0,intersection_point(sK2_skl,sK3_skl))|~distinct_lines(X1,sK1_skl)|apart_point_and_line(X0,X1)|apart_point_and_line(X0,sK1_skl)|apart_point_and_line(intersection_point(sK2_skl,sK3_skl),X1))),
% 4.09/0.95 inference(resolution,[status(thm)],[f38,f54])).
% 4.09/0.95 fof(f123,definition,(
% 4.09/0.95 sQ6_spl <=> (apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK0_skl))),
% 4.09/0.95 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 4.09/0.95 fof(f124,plain,(
% 4.09/0.95 apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK0_skl)|~sQ6_spl),
% 4.09/0.95 inference(component_clause,[status(thm)],[f123])).
% 4.09/0.95 fof(f139,plain,(
% 4.09/0.95 ![X0]: (distinct_points(intersection_point(sK0_skl,sK1_skl),X0)|apart_point_and_line(X0,sK2_skl)|~sQ0_spl)),
% 4.09/0.95 inference(resolution,[status(thm)],[f41,f56])).
% 4.09/0.95 fof(f197,plain,(
% 4.09/0.95 ![X0]: (distinct_lines(sK1_skl,X0)|convergent_lines(sK0_skl,X0))),
% 4.09/0.95 inference(resolution,[status(thm)],[f47,f50])).
% 4.09/0.95 fof(f222,plain,(
% 4.09/0.95 distinct_lines(sK1_skl,sK0_skl)),
% 4.09/0.95 inference(resolution,[status(thm)],[f197,f19])).
% 4.09/0.95 fof(f224,plain,(
% 4.09/0.95 ![X0]: (distinct_lines(sK1_skl,X0)|distinct_lines(sK0_skl,X0))),
% 4.09/0.95 inference(resolution,[status(thm)],[f222,f25])).
% 4.09/0.95 fof(f237,plain,(
% 4.09/0.95 ![X0]: (apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK2_skl)|~distinct_lines(X0,sK1_skl)|apart_point_and_line(intersection_point(sK0_skl,sK1_skl),X0)|apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK1_skl)|apart_point_and_line(intersection_point(sK2_skl,sK3_skl),X0)|~sQ0_spl)),
% 4.09/0.95 inference(resolution,[status(thm)],[f139,f102])).
% 4.09/0.95 fof(f249,definition,(
% 4.09/0.95 sQ16_spl <=> (convergent_lines(sK0_skl,sK1_skl))),
% 4.09/0.95 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 4.09/0.95 fof(f251,plain,(
% 4.09/0.95 ~convergent_lines(sK0_skl,sK1_skl)|sQ16_spl),
% 4.09/0.95 inference(component_clause,[status(thm)],[f249])).
% 4.09/0.95 fof(f265,definition,(
% 4.09/0.95 sQ20_spl <=> (apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK2_skl))),
% 4.09/0.95 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 4.09/0.95 fof(f266,plain,(
% 4.09/0.95 apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK2_skl)|~sQ20_spl),
% 4.09/0.95 inference(component_clause,[status(thm)],[f265])).
% 4.09/0.95 fof(f271,definition,(
% 4.09/0.95 sQ22_spl <=> (apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK0_skl))),
% 4.09/0.95 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 4.09/0.95 fof(f272,plain,(
% 4.09/0.95 apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK0_skl)|~sQ22_spl),
% 4.09/0.95 inference(component_clause,[status(thm)],[f271])).
% 4.09/0.95 fof(f275,definition,(
% 4.09/0.95 ![X0]: (sQ23_spl <=> (~distinct_lines(X0,sK1_skl)|apart_point_and_line(intersection_point(sK0_skl,sK1_skl),X0)|apart_point_and_line(intersection_point(sK2_skl,sK3_skl),X0)))),
% 4.09/0.95 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 4.09/0.95 fof(f276,plain,(
% 4.09/0.95 ![X0]: (~distinct_lines(X0,sK1_skl)|apart_point_and_line(intersection_point(sK0_skl,sK1_skl),X0)|apart_point_and_line(intersection_point(sK2_skl,sK3_skl),X0)|~sQ23_spl)),
% 4.09/0.95 inference(component_clause,[status(thm)],[f275])).
% 4.09/0.95 fof(f278,definition,(
% 4.09/0.95 sQ24_spl <=> (apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK1_skl))),
% 4.09/0.95 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 4.09/0.95 fof(f279,plain,(
% 4.09/0.95 apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK1_skl)|~sQ24_spl),
% 4.09/0.95 inference(component_clause,[status(thm)],[f278])).
% 4.09/0.95 fof(f281,plain,(
% 4.09/0.95 sQ20_spl|sQ23_spl|sQ24_spl|~sQ0_spl),
% 4.09/0.95 inference(split_clause,[status(thm)],[f237,f265,f275,f278,f55])).
% 4.09/0.95 fof(f290,plain,(
% 4.09/0.95 $false|sQ16_spl),
% 4.09/0.95 inference(forward_subsumption_resolution,[status(thm)],[f251,f50])).
% 4.09/0.95 fof(f291,plain,(
% 4.09/0.95 sQ16_spl),
% 4.09/0.95 inference(contradiction_clause,[status(thm)],[f290])).
% 4.09/0.95 fof(f293,plain,(
% 4.09/0.95 ![X0]: (distinct_points(intersection_point(sK0_skl,sK1_skl),X0)|apart_point_and_line(X0,sK3_skl)|~sQ1_spl)),
% 4.09/0.95 inference(resolution,[status(thm)],[f59,f41])).
% 4.09/0.95 fof(f300,plain,(
% 4.09/0.95 distinct_lines(sK0_skl,sK1_skl)),
% 4.09/0.95 inference(resolution,[status(thm)],[f224,f18])).
% 4.09/0.95 fof(f341,plain,(
% 4.09/0.95 ![X0]: (apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK3_skl)|~distinct_lines(X0,sK1_skl)|apart_point_and_line(intersection_point(sK0_skl,sK1_skl),X0)|apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK1_skl)|apart_point_and_line(intersection_point(sK2_skl,sK3_skl),X0)|~sQ1_spl)),
% 4.09/0.95 inference(resolution,[status(thm)],[f293,f102])).
% 4.09/0.95 fof(f366,definition,(
% 4.09/0.95 sQ35_spl <=> (apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK3_skl))),
% 4.09/0.95 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 4.09/0.95 fof(f367,plain,(
% 4.09/0.95 apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK3_skl)|~sQ35_spl),
% 4.09/0.95 inference(component_clause,[status(thm)],[f366])).
% 4.09/0.95 fof(f370,plain,(
% 4.09/0.95 sQ35_spl|sQ23_spl|sQ24_spl|~sQ1_spl),
% 4.09/0.95 inference(split_clause,[status(thm)],[f341,f366,f275,f278,f58])).
% 4.09/0.95 fof(f382,plain,(
% 4.09/0.95 ~convergent_lines(sK0_skl,sK1_skl)|~sQ24_spl),
% 4.09/0.95 inference(resolution,[status(thm)],[f279,f36])).
% 4.09/0.95 fof(f385,plain,(
% 4.09/0.95 ~sQ16_spl|~sQ24_spl),
% 4.09/0.95 inference(split_clause,[status(thm)],[f382,f249,f278])).
% 4.09/0.95 fof(f435,plain,(
% 4.09/0.95 ~convergent_lines(sK2_skl,sK3_skl)|~sQ35_spl),
% 4.09/0.95 inference(resolution,[status(thm)],[f367,f36])).
% 4.09/0.95 fof(f438,plain,(
% 4.09/0.95 $false|~sQ35_spl),
% 4.09/0.95 inference(forward_subsumption_resolution,[status(thm)],[f435,f51])).
% 4.09/0.95 fof(f439,plain,(
% 4.09/0.95 ~sQ35_spl),
% 4.09/0.95 inference(contradiction_clause,[status(thm)],[f438])).
% 4.09/0.95 fof(f469,plain,(
% 4.09/0.95 ~convergent_lines(sK2_skl,sK3_skl)|~sQ20_spl),
% 4.09/0.95 inference(resolution,[status(thm)],[f266,f34])).
% 4.09/0.95 fof(f472,plain,(
% 4.09/0.95 $false|~sQ20_spl),
% 4.09/0.95 inference(forward_subsumption_resolution,[status(thm)],[f469,f51])).
% 4.09/0.95 fof(f473,plain,(
% 4.09/0.95 ~sQ20_spl),
% 4.09/0.95 inference(contradiction_clause,[status(thm)],[f472])).
% 4.09/0.95 fof(f573,plain,(
% 4.09/0.95 ~convergent_lines(sK0_skl,sK1_skl)|~sQ22_spl),
% 4.09/0.95 inference(resolution,[status(thm)],[f272,f34])).
% 4.09/0.95 fof(f576,plain,(
% 4.09/0.95 ~sQ16_spl|~sQ22_spl),
% 4.09/0.95 inference(split_clause,[status(thm)],[f573,f249,f271])).
% 4.09/0.95 fof(f906,plain,(
% 4.09/0.95 apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK0_skl)|apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK0_skl)|~sQ23_spl),
% 4.09/0.95 inference(resolution,[status(thm)],[f276,f300])).
% 4.09/0.95 fof(f920,plain,(
% 4.09/0.95 sQ22_spl|sQ6_spl|~sQ23_spl),
% 4.09/0.95 inference(split_clause,[status(thm)],[f906,f271,f123,f275])).
% 4.09/0.95 fof(f969,plain,(
% 4.09/0.95 $false|~sQ6_spl),
% 4.09/0.95 inference(forward_subsumption_resolution,[status(thm)],[f124,f53])).
% 4.09/0.95 fof(f970,plain,(
% 4.09/0.95 ~sQ6_spl),
% 4.09/0.95 inference(contradiction_clause,[status(thm)],[f969])).
% 4.09/0.95 fof(f971,plain,(
% 4.09/0.95 $false),
% 4.09/0.95 inference(sat_refutation,[status(thm)],[f61,f281,f291,f370,f385,f439,f473,f576,f920,f970])).
% 4.09/0.95 % SZS output end CNFRefutation for theBenchmark.p
% 4.09/0.96 % Elapsed time: 0.592825 seconds
% 4.09/0.96 % CPU time: 4.509756 seconds
% 4.09/0.96 % Total memory used: 52.500 MB
% 4.09/0.96 % Net memory used: 42.821 MB
%------------------------------------------------------------------------------