%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO189+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 : n005.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 12:26:00 PM UTC 2026
% Result : Theorem 0.19s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO189+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n005.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 20 13:10:33 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.48 % Drodi V4.1.1
% 0.19/0.54 % Refutation found
% 0.19/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.54 fof(f1,axiom,(
% 0.19/0.54 (! [X] : ~ distinct_points(X,X) )),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f4,axiom,(
% 0.19/0.54 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f7,axiom,(
% 0.19/0.54 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> ( distinct_points(Z,X)& distinct_points(Z,Y) ) ) ) )),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f9,axiom,(
% 0.19/0.54 (! [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) ) ) )),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f10,axiom,(
% 0.19/0.54 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_points(X,Z)| apart_point_and_line(Z,Y) ) ) )),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f11,axiom,(
% 0.19/0.54 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f13,conjecture,(
% 0.19/0.54 (! [X,Y,Z] :( ( distinct_points(X,Y)& distinct_points(X,Z)& distinct_points(Y,Z)& ~ apart_point_and_line(Z,line_connecting(X,Y)) )=> ~ apart_point_and_line(Y,line_connecting(X,Z)) ) )),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f14,negated_conjecture,(
% 0.19/0.54 ~((! [X,Y,Z] :( ( distinct_points(X,Y)& distinct_points(X,Z)& distinct_points(Y,Z)& ~ apart_point_and_line(Z,line_connecting(X,Y)) )=> ~ apart_point_and_line(Y,line_connecting(X,Z)) ) ))),
% 0.19/0.54 inference(negated_conjecture,[status(cth)],[f13])).
% 0.19/0.54 fof(f15,plain,(
% 0.19/0.54 ![X0]: (~distinct_points(X0,X0))),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f1])).
% 0.19/0.54 fof(f18,plain,(
% 0.19/0.54 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.19/0.54 fof(f19,plain,(
% 0.19/0.54 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.19/0.54 inference(miniscoping,[status(thm)],[f18])).
% 0.19/0.54 fof(f20,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f19])).
% 0.19/0.54 fof(f27,plain,(
% 0.19/0.54 ![X,Y,Z]: (~distinct_points(X,Y)|(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.19/0.54 fof(f28,plain,(
% 0.19/0.54 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y)))))),
% 0.19/0.54 inference(miniscoping,[status(thm)],[f27])).
% 0.19/0.54 fof(f29,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X0))),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f28])).
% 0.19/0.54 fof(f30,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X1))),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f28])).
% 0.19/0.54 fof(f35,plain,(
% 0.19/0.54 ![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)))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.19/0.54 fof(f36,plain,(
% 0.19/0.54 ![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))),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f35])).
% 0.19/0.54 fof(f37,plain,(
% 0.19/0.54 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.19/0.54 fof(f38,plain,(
% 0.19/0.54 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_points(X,Z)|apart_point_and_line(Z,Y))))),
% 0.19/0.54 inference(miniscoping,[status(thm)],[f37])).
% 0.19/0.54 fof(f39,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_points(X0,X2)|apart_point_and_line(X2,X1))),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f38])).
% 0.19/0.54 fof(f40,plain,(
% 0.19/0.54 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.19/0.54 fof(f41,plain,(
% 0.19/0.54 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.19/0.54 inference(miniscoping,[status(thm)],[f40])).
% 0.19/0.54 fof(f42,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f41])).
% 0.19/0.54 fof(f45,plain,(
% 0.19/0.54 (?[X,Y,Z]: ((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&~apart_point_and_line(Z,line_connecting(X,Y)))&apart_point_and_line(Y,line_connecting(X,Z))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.19/0.54 fof(f46,plain,(
% 0.19/0.54 ((((distinct_points(sK0_skl,sK1_skl)&distinct_points(sK0_skl,sK2_skl))&distinct_points(sK1_skl,sK2_skl))&~apart_point_and_line(sK2_skl,line_connecting(sK0_skl,sK1_skl)))&apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK2_skl)))),
% 0.19/0.54 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)],[f45])).
% 0.19/0.54 fof(f48,plain,(
% 0.19/0.54 distinct_points(sK0_skl,sK2_skl)),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f46])).
% 0.19/0.54 fof(f50,plain,(
% 0.19/0.54 ~apart_point_and_line(sK2_skl,line_connecting(sK0_skl,sK1_skl))),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f46])).
% 0.19/0.54 fof(f51,plain,(
% 0.19/0.54 apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK2_skl))),
% 0.19/0.54 inference(cnf_transformation,[status(thm)],[f46])).
% 0.19/0.54 fof(f62,definition,(
% 0.19/0.54 sQ0_spl <=> (distinct_points(sK0_skl,sK2_skl))),
% 0.19/0.54 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.19/0.54 fof(f64,plain,(
% 0.19/0.54 ~distinct_points(sK0_skl,sK2_skl)|sQ0_spl),
% 0.19/0.54 inference(component_clause,[status(thm)],[f62])).
% 0.19/0.54 fof(f69,plain,(
% 0.19/0.54 $false|sQ0_spl),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f64,f48])).
% 0.19/0.54 fof(f70,plain,(
% 0.19/0.54 sQ0_spl),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f69])).
% 0.19/0.54 fof(f77,plain,(
% 0.19/0.54 ![X0]: (distinct_points(sK1_skl,X0)|apart_point_and_line(X0,line_connecting(sK0_skl,sK2_skl)))),
% 0.19/0.54 inference(resolution,[status(thm)],[f39,f51])).
% 0.19/0.54 fof(f78,plain,(
% 0.19/0.54 ![X0]: (distinct_lines(line_connecting(sK0_skl,sK2_skl),X0)|apart_point_and_line(sK1_skl,X0))),
% 0.19/0.54 inference(resolution,[status(thm)],[f42,f51])).
% 0.19/0.54 fof(f92,definition,(
% 0.19/0.54 ![X0]: (sQ4_spl <=> (distinct_points(sK1_skl,X0)|distinct_points(sK1_skl,X0)))),
% 0.19/0.54 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.19/0.54 fof(f93,plain,(
% 0.19/0.54 ![X0]: (distinct_points(sK1_skl,X0)|distinct_points(sK1_skl,X0)|~sQ4_spl)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f92])).
% 0.19/0.54 fof(f106,plain,(
% 0.19/0.54 ![X0]: (distinct_points(sK1_skl,X0)|~distinct_points(sK0_skl,sK2_skl)|distinct_points(X0,sK0_skl))),
% 0.19/0.54 inference(resolution,[status(thm)],[f77,f29])).
% 0.19/0.54 fof(f113,definition,(
% 0.19/0.54 ![X0]: (sQ7_spl <=> (distinct_points(sK1_skl,X0)|distinct_points(X0,sK0_skl)))),
% 0.19/0.54 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.19/0.54 fof(f114,plain,(
% 0.19/0.54 ![X0]: (distinct_points(sK1_skl,X0)|distinct_points(X0,sK0_skl)|~sQ7_spl)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f113])).
% 0.19/0.54 fof(f116,plain,(
% 0.19/0.54 sQ7_spl|~sQ0_spl),
% 0.19/0.54 inference(split_clause,[status(thm)],[f106,f113,f62])).
% 0.19/0.54 fof(f119,plain,(
% 0.19/0.54 ![X0,X1]: (distinct_points(sK1_skl,X0)|distinct_points(X0,X1)|distinct_points(sK0_skl,X1)|~sQ7_spl)),
% 0.19/0.54 inference(resolution,[status(thm)],[f114,f20])).
% 0.19/0.54 fof(f155,definition,(
% 0.19/0.54 sQ10_spl <=> (distinct_points(sK0_skl,sK1_skl))),
% 0.19/0.54 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.19/0.54 fof(f163,plain,(
% 0.19/0.54 ![X0,X1,X2]: (apart_point_and_line(sK1_skl,X0)|~distinct_points(X1,X2)|apart_point_and_line(X1,line_connecting(sK0_skl,sK2_skl))|apart_point_and_line(X1,X0)|apart_point_and_line(X2,line_connecting(sK0_skl,sK2_skl))|apart_point_and_line(X2,X0))),
% 0.19/0.54 inference(resolution,[status(thm)],[f78,f36])).
% 0.19/0.54 fof(f217,plain,(
% 0.19/0.54 ![X0]: (distinct_points(sK1_skl,X0)|~sQ4_spl)),
% 0.19/0.54 inference(duplicate_literals_removal,[status(thm)],[f93])).
% 0.19/0.54 fof(f219,plain,(
% 0.19/0.54 ![X0]: (apart_point_and_line(sK1_skl,X0)|apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK2_skl))|apart_point_and_line(sK0_skl,X0)|apart_point_and_line(sK2_skl,line_connecting(sK0_skl,sK2_skl))|apart_point_and_line(sK2_skl,X0))),
% 0.19/0.54 inference(resolution,[status(thm)],[f163,f48])).
% 0.19/0.54 fof(f248,definition,(
% 0.19/0.54 sQ17_spl <=> (apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK2_skl)))),
% 0.19/0.54 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.19/0.54 fof(f249,plain,(
% 0.19/0.54 apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK2_skl))|~sQ17_spl),
% 0.19/0.54 inference(component_clause,[status(thm)],[f248])).
% 0.19/0.54 fof(f252,definition,(
% 0.19/0.54 ![X0]: (sQ18_spl <=> (apart_point_and_line(sK1_skl,X0)|apart_point_and_line(sK0_skl,X0)|apart_point_and_line(sK2_skl,X0)))),
% 0.19/0.54 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.19/0.54 fof(f253,plain,(
% 0.19/0.54 ![X0]: (apart_point_and_line(sK1_skl,X0)|apart_point_and_line(sK0_skl,X0)|apart_point_and_line(sK2_skl,X0)|~sQ18_spl)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f252])).
% 0.19/0.54 fof(f255,definition,(
% 0.19/0.54 sQ19_spl <=> (apart_point_and_line(sK2_skl,line_connecting(sK0_skl,sK2_skl)))),
% 0.19/0.54 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.19/0.54 fof(f256,plain,(
% 0.19/0.54 apart_point_and_line(sK2_skl,line_connecting(sK0_skl,sK2_skl))|~sQ19_spl),
% 0.19/0.54 inference(component_clause,[status(thm)],[f255])).
% 0.19/0.54 fof(f258,plain,(
% 0.19/0.54 sQ18_spl|sQ17_spl|sQ19_spl),
% 0.19/0.54 inference(split_clause,[status(thm)],[f219,f252,f248,f255])).
% 0.19/0.54 fof(f348,plain,(
% 0.19/0.54 $false|~sQ4_spl),
% 0.19/0.54 inference(resolution,[status(thm)],[f217,f15])).
% 0.19/0.54 fof(f353,plain,(
% 0.19/0.54 ~sQ4_spl),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f348])).
% 0.19/0.54 fof(f366,plain,(
% 0.19/0.54 ~distinct_points(sK0_skl,sK2_skl)|distinct_points(sK2_skl,sK2_skl)|~sQ19_spl),
% 0.19/0.54 inference(resolution,[status(thm)],[f256,f30])).
% 0.19/0.54 fof(f370,definition,(
% 0.19/0.54 sQ37_spl <=> (distinct_points(sK2_skl,sK2_skl))),
% 0.19/0.54 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.19/0.54 fof(f371,plain,(
% 0.19/0.54 distinct_points(sK2_skl,sK2_skl)|~sQ37_spl),
% 0.19/0.54 inference(component_clause,[status(thm)],[f370])).
% 0.19/0.54 fof(f373,plain,(
% 0.19/0.54 ~sQ0_spl|sQ37_spl|~sQ19_spl),
% 0.19/0.54 inference(split_clause,[status(thm)],[f366,f62,f370,f255])).
% 0.19/0.54 fof(f376,plain,(
% 0.19/0.54 ~distinct_points(sK0_skl,sK2_skl)|distinct_points(sK0_skl,sK0_skl)|~sQ17_spl),
% 0.19/0.54 inference(resolution,[status(thm)],[f249,f29])).
% 0.19/0.54 fof(f380,definition,(
% 0.19/0.54 sQ38_spl <=> (distinct_points(sK0_skl,sK0_skl))),
% 0.19/0.54 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.19/0.54 fof(f381,plain,(
% 0.19/0.54 distinct_points(sK0_skl,sK0_skl)|~sQ38_spl),
% 0.19/0.54 inference(component_clause,[status(thm)],[f380])).
% 0.19/0.54 fof(f383,plain,(
% 0.19/0.54 ~sQ0_spl|sQ38_spl|~sQ17_spl),
% 0.19/0.54 inference(split_clause,[status(thm)],[f376,f62,f380,f248])).
% 0.19/0.54 fof(f384,plain,(
% 0.19/0.54 $false|~sQ38_spl),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f381,f15])).
% 0.19/0.54 fof(f385,plain,(
% 0.19/0.54 ~sQ38_spl),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f384])).
% 0.19/0.54 fof(f387,plain,(
% 0.19/0.54 $false|~sQ37_spl),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f371,f15])).
% 0.19/0.54 fof(f388,plain,(
% 0.19/0.54 ~sQ37_spl),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f387])).
% 0.19/0.54 fof(f579,plain,(
% 0.19/0.54 ![X0]: (distinct_points(sK0_skl,sK1_skl)|distinct_points(sK1_skl,X0)|distinct_points(sK1_skl,X0)|~sQ7_spl)),
% 0.19/0.54 inference(resolution,[status(thm)],[f119,f20])).
% 0.19/0.54 fof(f597,plain,(
% 0.19/0.54 sQ10_spl|sQ4_spl|~sQ7_spl),
% 0.19/0.54 inference(split_clause,[status(thm)],[f579,f155,f92,f113])).
% 0.19/0.54 fof(f1011,plain,(
% 0.19/0.54 apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK1_skl))|apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK1_skl))|~sQ18_spl),
% 0.19/0.54 inference(resolution,[status(thm)],[f253,f50])).
% 0.19/0.54 fof(f1017,definition,(
% 0.19/0.54 sQ73_spl <=> (apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK1_skl)))),
% 0.19/0.54 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.19/0.54 fof(f1018,plain,(
% 0.19/0.54 apart_point_and_line(sK1_skl,line_connecting(sK0_skl,sK1_skl))|~sQ73_spl),
% 0.19/0.54 inference(component_clause,[status(thm)],[f1017])).
% 0.19/0.54 fof(f1020,definition,(
% 0.19/0.54 sQ74_spl <=> (apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK1_skl)))),
% 0.19/0.55 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.19/0.55 fof(f1021,plain,(
% 0.19/0.55 apart_point_and_line(sK0_skl,line_connecting(sK0_skl,sK1_skl))|~sQ74_spl),
% 0.19/0.55 inference(component_clause,[status(thm)],[f1020])).
% 0.19/0.55 fof(f1023,plain,(
% 0.19/0.55 sQ73_spl|sQ74_spl|~sQ18_spl),
% 0.19/0.55 inference(split_clause,[status(thm)],[f1011,f1017,f1020,f252])).
% 0.19/0.55 fof(f1024,plain,(
% 0.19/0.55 ~distinct_points(sK0_skl,sK1_skl)|distinct_points(sK1_skl,sK1_skl)|~sQ73_spl),
% 0.19/0.55 inference(resolution,[status(thm)],[f1018,f30])).
% 0.19/0.55 fof(f1028,definition,(
% 0.19/0.55 sQ75_spl <=> (distinct_points(sK1_skl,sK1_skl))),
% 0.19/0.55 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.19/0.55 fof(f1029,plain,(
% 0.19/0.55 distinct_points(sK1_skl,sK1_skl)|~sQ75_spl),
% 0.19/0.55 inference(component_clause,[status(thm)],[f1028])).
% 0.19/0.55 fof(f1031,plain,(
% 0.19/0.55 ~sQ10_spl|sQ75_spl|~sQ73_spl),
% 0.19/0.55 inference(split_clause,[status(thm)],[f1024,f155,f1028,f1017])).
% 0.19/0.55 fof(f1033,plain,(
% 0.19/0.55 $false|~sQ75_spl),
% 0.19/0.55 inference(forward_subsumption_resolution,[status(thm)],[f1029,f15])).
% 0.19/0.55 fof(f1034,plain,(
% 0.19/0.55 ~sQ75_spl),
% 0.19/0.55 inference(contradiction_clause,[status(thm)],[f1033])).
% 0.19/0.55 fof(f1036,plain,(
% 0.19/0.55 ~distinct_points(sK0_skl,sK1_skl)|distinct_points(sK0_skl,sK0_skl)|~sQ74_spl),
% 0.19/0.55 inference(resolution,[status(thm)],[f1021,f29])).
% 0.19/0.55 fof(f1040,plain,(
% 0.19/0.55 ~sQ10_spl|sQ38_spl|~sQ74_spl),
% 0.19/0.55 inference(split_clause,[status(thm)],[f1036,f155,f380,f1020])).
% 0.19/0.55 fof(f1041,plain,(
% 0.19/0.55 $false),
% 0.19/0.55 inference(sat_refutation,[status(thm)],[f70,f116,f258,f353,f373,f383,f385,f388,f597,f1023,f1031,f1034,f1040])).
% 0.19/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.57 % Elapsed time: 0.104134 seconds
% 0.19/0.57 % CPU time: 0.378066 seconds
% 0.19/0.57 % Total memory used: 11.295 MB
% 0.19/0.57 % Net memory used: 10.757 MB
%------------------------------------------------------------------------------