%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO178+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 : n026.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 12:25:57 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO178+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 13:03:08 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f7,axiom,(
% 0.12/0.39 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,axiom,(
% 0.12/0.39 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f12,axiom,(
% 0.12/0.39 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_points(X,Z)| apart_point_and_line(Z,Y) ) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f15,conjecture,(
% 0.12/0.39 (! [X,Y,Z] :( ( distinct_points(X,Y)& apart_point_and_line(Z,line_connecting(X,Y)) )=> ( distinct_points(Z,X)& distinct_points(Z,Y) ) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f16,negated_conjecture,(
% 0.12/0.39 ~((! [X,Y,Z] :( ( distinct_points(X,Y)& apart_point_and_line(Z,line_connecting(X,Y)) )=> ( distinct_points(Z,X)& distinct_points(Z,Y) ) ) ))),
% 0.12/0.39 inference(negated_conjecture,[status(cth)],[f15])).
% 0.12/0.39 fof(f29,plain,(
% 0.12/0.39 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.12/0.39 fof(f30,plain,(
% 0.12/0.39 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.39 fof(f31,plain,(
% 0.12/0.39 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.12/0.39 fof(f32,plain,(
% 0.12/0.39 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.39 fof(f39,plain,(
% 0.12/0.39 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.12/0.39 fof(f40,plain,(
% 0.12/0.39 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_points(X,Z)|apart_point_and_line(Z,Y))))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f39])).
% 0.12/0.39 fof(f41,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_points(X0,X2)|apart_point_and_line(X2,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f40])).
% 0.12/0.39 fof(f48,plain,(
% 0.12/0.39 (?[X,Y,Z]: ((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))&(~distinct_points(Z,X)|~distinct_points(Z,Y))))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.12/0.39 fof(f49,plain,(
% 0.12/0.39 ((distinct_points(sK0_skl,sK1_skl)&apart_point_and_line(sK2_skl,line_connecting(sK0_skl,sK1_skl)))&(~distinct_points(sK2_skl,sK0_skl)|~distinct_points(sK2_skl,sK1_skl)))),
% 0.12/0.39 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)],[f48])).
% 0.12/0.39 fof(f50,plain,(
% 0.12/0.39 distinct_points(sK0_skl,sK1_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f49])).
% 0.12/0.39 fof(f51,plain,(
% 0.12/0.39 apart_point_and_line(sK2_skl,line_connecting(sK0_skl,sK1_skl))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f49])).
% 0.12/0.39 fof(f52,plain,(
% 0.12/0.39 ~distinct_points(sK2_skl,sK0_skl)|~distinct_points(sK2_skl,sK1_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f49])).
% 0.12/0.39 fof(f53,definition,(
% 0.12/0.39 sQ0_spl <=> (distinct_points(sK2_skl,sK0_skl))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f56,definition,(
% 0.12/0.39 sQ1_spl <=> (distinct_points(sK2_skl,sK1_skl))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f59,plain,(
% 0.12/0.39 ~sQ0_spl|~sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f52,f53,f56])).
% 0.12/0.39 fof(f64,plain,(
% 0.12/0.39 ![X0]: (distinct_points(sK2_skl,X0)|apart_point_and_line(X0,line_connecting(sK0_skl,sK1_skl)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f41,f51])).
% 0.12/0.39 fof(f65,plain,(
% 0.12/0.39 distinct_points(sK2_skl,sK1_skl)|~distinct_points(sK0_skl,sK1_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f64,f32])).
% 0.12/0.39 fof(f66,plain,(
% 0.12/0.39 distinct_points(sK2_skl,sK0_skl)|~distinct_points(sK0_skl,sK1_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f64,f30])).
% 0.12/0.39 fof(f68,definition,(
% 0.12/0.39 sQ2_spl <=> (distinct_points(sK0_skl,sK1_skl))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f70,plain,(
% 0.12/0.39 ~distinct_points(sK0_skl,sK1_skl)|sQ2_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f68])).
% 0.12/0.39 fof(f71,plain,(
% 0.12/0.39 sQ1_spl|~sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f65,f56,f68])).
% 0.12/0.39 fof(f72,plain,(
% 0.12/0.39 sQ0_spl|~sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f66,f53,f68])).
% 0.12/0.39 fof(f73,plain,(
% 0.12/0.39 $false|sQ2_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f70,f50])).
% 0.12/0.39 fof(f74,plain,(
% 0.12/0.39 sQ2_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f73])).
% 0.12/0.39 fof(f75,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(sat_refutation,[status(thm)],[f59,f71,f72,f74])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.045927 seconds
% 0.12/0.41 % CPU time: 0.114442 seconds
% 0.12/0.41 % Total memory used: 17.050 MB
% 0.12/0.41 % Net memory used: 16.656 MB
%------------------------------------------------------------------------------