%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO036-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO036-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 08:29:08 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f3,axiom,(
% 0.10/0.41 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f4,axiom,(
% 0.10/0.41 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f5,axiom,(
% 0.10/0.41 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f10,axiom,(
% 0.10/0.41 ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f11,axiom,(
% 0.10/0.41 ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f12,axiom,(
% 0.10/0.41 ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f19,negated_conjecture,(
% 0.10/0.41 ( lower_dimension_point_1 = lower_dimension_point_2| lower_dimension_point_2 = lower_dimension_point_3| lower_dimension_point_1 = lower_dimension_point_3 ) ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f23,plain,(
% 0.10/0.41 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f3])).
% 0.10/0.41 fof(f24,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.10/0.41 fof(f25,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.41 fof(f26,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.41 fof(f32,plain,(
% 0.10/0.41 ~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.41 fof(f33,plain,(
% 0.10/0.41 ~between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.41 fof(f34,plain,(
% 0.10/0.41 ~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.41 fof(f42,plain,(
% 0.10/0.41 lower_dimension_point_1=lower_dimension_point_2|lower_dimension_point_2=lower_dimension_point_3|lower_dimension_point_1=lower_dimension_point_3),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.41 fof(f43,definition,(
% 0.10/0.41 sQ0_spl <=> (lower_dimension_point_1=lower_dimension_point_2)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f44,plain,(
% 0.10/0.41 lower_dimension_point_1=lower_dimension_point_2|~sQ0_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f43])).
% 0.10/0.41 fof(f46,definition,(
% 0.10/0.41 sQ1_spl <=> (lower_dimension_point_2=lower_dimension_point_3)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f47,plain,(
% 0.10/0.41 lower_dimension_point_2=lower_dimension_point_3|~sQ1_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f46])).
% 0.10/0.41 fof(f49,definition,(
% 0.10/0.41 sQ2_spl <=> (lower_dimension_point_1=lower_dimension_point_3)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f50,plain,(
% 0.10/0.41 lower_dimension_point_1=lower_dimension_point_3|~sQ2_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f49])).
% 0.10/0.41 fof(f52,plain,(
% 0.10/0.41 sQ0_spl|sQ1_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f42,f43,f46,f49])).
% 0.10/0.41 fof(f54,plain,(
% 0.10/0.41 ~between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)|~sQ2_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f50,f33])).
% 0.10/0.41 fof(f61,plain,(
% 0.10/0.41 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 0.10/0.41 inference(resolution,[status(thm)],[f26,f24])).
% 0.10/0.41 fof(f64,plain,(
% 0.10/0.41 ![X0,X1]: (between(X0,X1,X1))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f61,f25])).
% 0.10/0.41 fof(f65,plain,(
% 0.10/0.41 $false|~sQ2_spl),
% 0.10/0.41 inference(backward_subsumption_resolution,[status(thm)],[f54,f64])).
% 0.10/0.41 fof(f66,plain,(
% 0.10/0.41 ~sQ2_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f65])).
% 0.10/0.41 fof(f67,plain,(
% 0.10/0.41 ~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1)|~sQ0_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f44,f34])).
% 0.10/0.42 fof(f68,plain,(
% 0.10/0.42 $false|~sQ0_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f67,f64])).
% 0.10/0.42 fof(f69,plain,(
% 0.10/0.42 ~sQ0_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f68])).
% 0.10/0.42 fof(f71,plain,(
% 0.10/0.42 ~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)|~sQ1_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f47,f32])).
% 0.10/0.42 fof(f74,plain,(
% 0.10/0.42 $false|~sQ1_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f71,f64])).
% 0.10/0.42 fof(f75,plain,(
% 0.10/0.42 ~sQ1_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f74])).
% 0.10/0.42 fof(f76,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(sat_refutation,[status(thm)],[f52,f66,f69,f75])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.061503 seconds
% 0.10/0.44 % CPU time: 0.159426 seconds
% 0.10/0.44 % Total memory used: 80.467 MB
% 0.10/0.44 % Net memory used: 80.043 MB
%------------------------------------------------------------------------------