%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO011-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:23:45 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 12 unt; 3 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 17 ~; 16 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X,Y,Z] :
( between(Z,X,Y)
| between(Y,Z,X)
| between(X,Y,Z)
| ~ colinear(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,plain,
! [X0,X1,X2] :
( between(X2,X0,X1)
| between(X1,X2,X0)
| between(X0,X1,X2)
| ~ colinear(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f40,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f41,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f42,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f50,plain,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f54,plain,
( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| ~ colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
inference(resolution,[status(thm)],[f27,f42]) ).
fof(f60,definition,
( sQ1_spl
<=> between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f61,plain,
( ~ sQ1_spl
| between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
inference(component_clause,[status(thm)],[f60]) ).
fof(f63,definition,
( sQ2_spl
<=> between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f64,plain,
( ~ sQ2_spl
| between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
inference(component_clause,[status(thm)],[f63]) ).
fof(f67,definition,
( sQ3_spl
<=> colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f69,plain,
( sQ3_spl
| ~ colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
inference(component_clause,[status(thm)],[f67]) ).
fof(f78,plain,
( sQ1_spl
| sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f54,f67,f63,f60]) ).
fof(f83,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f61,f41]) ).
fof(f84,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f83]) ).
fof(f85,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f64,f40]) ).
fof(f86,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f85]) ).
fof(f87,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f69,f50]) ).
fof(f88,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f87]) ).
fof(f89,plain,
$false,
inference(sat_refutation,[status(thm)],[f78,f84,f86,f88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO011-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n008.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 20 08:17:08 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.55 % Elapsed time: 0.098505 seconds
% 0.26/0.55 % CPU time: 0.094851 seconds
% 0.26/0.55 % Total memory used: 5.057 MB
% 0.26/0.55 % Net memory used: 5.041 MB
%------------------------------------------------------------------------------