%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO036-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 12:23:51 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.41s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 12 unt; 3 def)
% Number of atoms : 45 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 21 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [U,V] : between(U,V,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
( lower_dimension_point_1 = lower_dimension_point_3
| lower_dimension_point_2 = lower_dimension_point_3
| lower_dimension_point_1 = lower_dimension_point_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f72,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f73,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f111,plain,
! [X0,X1] : between(X0,X1,X1),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f136,plain,
( lower_dimension_point_1 = lower_dimension_point_3
| lower_dimension_point_2 = lower_dimension_point_3
| lower_dimension_point_1 = lower_dimension_point_2 ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f137,definition,
( sQ0_spl
<=> lower_dimension_point_1 = lower_dimension_point_2 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ0_spl
| lower_dimension_point_1 = lower_dimension_point_2 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ1_spl
<=> lower_dimension_point_2 = lower_dimension_point_3 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ1_spl
| lower_dimension_point_2 = lower_dimension_point_3 ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
( sQ2_spl
<=> lower_dimension_point_1 = lower_dimension_point_3 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ2_spl
| lower_dimension_point_1 = lower_dimension_point_3 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f136,f137,f140,f143]) ).
fof(f151,plain,
( ~ sQ2_spl
| ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3) ),
inference(forward_demodulation,[status(thm)],[f144,f72]) ).
fof(f153,plain,
( ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f151,f111]) ).
fof(f154,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( ~ sQ0_spl
| ~ between(lower_dimension_point_3,lower_dimension_point_2,lower_dimension_point_2) ),
inference(forward_demodulation,[status(thm)],[f138,f73]) ).
fof(f157,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f156,f111]) ).
fof(f158,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f157]) ).
fof(f161,plain,
( ~ sQ1_spl
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3) ),
inference(forward_demodulation,[status(thm)],[f141,f71]) ).
fof(f162,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f161,f111]) ).
fof(f163,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f162]) ).
fof(f164,plain,
$false,
inference(sat_refutation,[status(thm)],[f146,f154,f158,f163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO036-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.36 % Computer : n014.cluster.edu
% 0.07/0.36 % Model : x86_64 x86_64
% 0.07/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36 % Memory : 8046.5625MB
% 0.07/0.36 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Sun Sep 20 08:28:22 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.37 % Drodi V4.1.1
% 0.07/0.41 % Refutation found
% 0.07/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.44 % Elapsed time: 0.062730 seconds
% 0.07/0.44 % CPU time: 0.148919 seconds
% 0.07/0.44 % Total memory used: 102.840 MB
% 0.07/0.44 % Net memory used: 102.787 MB
%------------------------------------------------------------------------------