%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO011-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 12:25:32 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO011-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 08:15:34 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.41 fof(f10,axiom,(
% 0.15/0.41 ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f11,axiom,(
% 0.15/0.41 ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f12,axiom,(
% 0.15/0.41 ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f22,axiom,(
% 0.15/0.41 (![X,Y,Z]: (( ~ colinear(X,Y,Z)| between(X,Y,Z)| between(Y,Z,X)| between(Z,X,Y) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f96,negated_conjecture,(
% 0.15/0.41 colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f109,plain,(
% 0.15/0.41 ~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/0.41 fof(f110,plain,(
% 0.15/0.41 ~between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.41 fof(f111,plain,(
% 0.15/0.41 ~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.15/0.41 fof(f122,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~colinear(X0,X1,X2)|between(X0,X1,X2)|between(X1,X2,X0)|between(X2,X0,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/0.41 fof(f227,plain,(
% 0.15/0.41 colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f96])).
% 0.15/0.41 fof(f234,plain,(
% 0.15/0.41 between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)|between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)|between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)),
% 0.15/0.41 inference(resolution,[status(thm)],[f122,f227])).
% 0.15/0.41 fof(f245,definition,(
% 0.15/0.41 sQ3_spl <=> (between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f246,plain,(
% 0.15/0.41 between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)|~sQ3_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f245])).
% 0.15/0.41 fof(f248,definition,(
% 0.15/0.41 sQ4_spl <=> (between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f249,plain,(
% 0.15/0.41 between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)|~sQ4_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f248])).
% 0.15/0.41 fof(f251,definition,(
% 0.15/0.41 sQ5_spl <=> (between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f252,plain,(
% 0.15/0.41 between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)|~sQ5_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f251])).
% 0.15/0.41 fof(f254,plain,(
% 0.15/0.41 sQ3_spl|sQ4_spl|sQ5_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f234,f245,f248,f251])).
% 0.15/0.41 fof(f255,plain,(
% 0.15/0.41 $false|~sQ5_spl),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f252,f111])).
% 0.15/0.41 fof(f256,plain,(
% 0.15/0.41 ~sQ5_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f255])).
% 0.15/0.41 fof(f257,plain,(
% 0.15/0.41 $false|~sQ4_spl),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f249,f110])).
% 0.15/0.41 fof(f258,plain,(
% 0.15/0.41 ~sQ4_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f257])).
% 0.15/0.41 fof(f259,plain,(
% 0.15/0.41 $false|~sQ3_spl),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f246,f109])).
% 0.15/0.41 fof(f260,plain,(
% 0.15/0.41 ~sQ3_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f259])).
% 0.15/0.41 fof(f261,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(sat_refutation,[status(thm)],[f254,f256,f258,f260])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.51 % Elapsed time: 0.139724 seconds
% 0.15/0.51 % CPU time: 0.192490 seconds
% 0.15/0.51 % Total memory used: 104.336 MB
% 0.15/0.51 % Net memory used: 104.265 MB
%------------------------------------------------------------------------------