%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO036-3 : TPTP v9.3.1. Released v1.0.0.
% 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 12:25:36 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO036-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n011.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 20 08:31:54 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.39 fof(f10,axiom,(
% 0.11/0.39 ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f11,axiom,(
% 0.11/0.39 ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f12,axiom,(
% 0.11/0.39 ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f44,axiom,(
% 0.11/0.39 (![U,V]: (between(U,V,V) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f58,negated_conjecture,(
% 0.11/0.39 ( lower_dimension_point_1 = lower_dimension_point_2| lower_dimension_point_2 = lower_dimension_point_3| lower_dimension_point_1 = lower_dimension_point_3 ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f71,plain,(
% 0.11/0.39 ~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.39 fof(f72,plain,(
% 0.11/0.39 ~between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.39 fof(f73,plain,(
% 0.11/0.39 ~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.39 fof(f111,plain,(
% 0.11/0.39 ![X0,X1]: (between(X0,X1,X1))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f44])).
% 0.11/0.39 fof(f136,plain,(
% 0.11/0.39 lower_dimension_point_1=lower_dimension_point_2|lower_dimension_point_2=lower_dimension_point_3|lower_dimension_point_1=lower_dimension_point_3),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f58])).
% 0.11/0.39 fof(f137,definition,(
% 0.11/0.39 sQ0_spl <=> (lower_dimension_point_1=lower_dimension_point_2)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f138,plain,(
% 0.11/0.39 lower_dimension_point_1=lower_dimension_point_2|~sQ0_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f137])).
% 0.11/0.39 fof(f140,definition,(
% 0.11/0.39 sQ1_spl <=> (lower_dimension_point_2=lower_dimension_point_3)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f141,plain,(
% 0.11/0.39 lower_dimension_point_2=lower_dimension_point_3|~sQ1_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f140])).
% 0.11/0.39 fof(f143,definition,(
% 0.11/0.39 sQ2_spl <=> (lower_dimension_point_1=lower_dimension_point_3)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f144,plain,(
% 0.11/0.39 lower_dimension_point_1=lower_dimension_point_3|~sQ2_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f143])).
% 0.11/0.39 fof(f146,plain,(
% 0.11/0.39 sQ0_spl|sQ1_spl|sQ2_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f136,f137,f140,f143])).
% 0.11/0.39 fof(f151,plain,(
% 0.11/0.39 ~between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)|~sQ2_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f144,f72])).
% 0.11/0.39 fof(f153,plain,(
% 0.11/0.39 $false|~sQ2_spl),
% 0.11/0.39 inference(backward_subsumption_resolution,[status(thm)],[f151,f111])).
% 0.11/0.39 fof(f154,plain,(
% 0.11/0.39 ~sQ2_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f153])).
% 0.11/0.39 fof(f156,plain,(
% 0.11/0.39 ~between(lower_dimension_point_3,lower_dimension_point_2,lower_dimension_point_2)|~sQ0_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f138,f73])).
% 0.11/0.39 fof(f157,plain,(
% 0.11/0.39 $false|~sQ0_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f156,f111])).
% 0.11/0.39 fof(f158,plain,(
% 0.11/0.39 ~sQ0_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f157])).
% 0.11/0.39 fof(f161,plain,(
% 0.11/0.39 ~between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3)|~sQ1_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f141,f71])).
% 0.11/0.39 fof(f162,plain,(
% 0.11/0.39 $false|~sQ1_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f161,f111])).
% 0.11/0.39 fof(f163,plain,(
% 0.11/0.39 ~sQ1_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f162])).
% 0.11/0.39 fof(f164,plain,(
% 0.11/0.39 $false),
% 0.11/0.39 inference(sat_refutation,[status(thm)],[f146,f154,f158,f163])).
% 0.11/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.43 % Elapsed time: 0.066585 seconds
% 0.11/0.43 % CPU time: 0.151929 seconds
% 0.11/0.43 % Total memory used: 102.833 MB
% 0.11/0.43 % Net memory used: 102.777 MB
%------------------------------------------------------------------------------