TSTP Solution File: GEO011-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO011-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:07:25 EDT 2023
% Result : Unsatisfiable 0.20s 0.38s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 12 unt; 0 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(f10,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y,Z] :
( ~ colinear(X,Y,Z)
| between(X,Y,Z)
| between(Y,Z,X)
| between(Z,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f109,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f110,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f111,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ colinear(X0,X1,X2)
| between(X0,X1,X2)
| between(X1,X2,X0)
| between(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f227,plain,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(cnf_transformation,[status(esa)],[f96]) ).
fof(f244,plain,
( spl0_3
<=> between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
introduced(split_symbol_definition) ).
fof(f245,plain,
( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( spl0_4
<=> between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
introduced(split_symbol_definition) ).
fof(f248,plain,
( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( spl0_5
<=> between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
introduced(split_symbol_definition) ).
fof(f251,plain,
( between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( 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) ),
inference(resolution,[status(thm)],[f122,f227]) ).
fof(f254,plain,
( spl0_3
| spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f253,f244,f247,f250]) ).
fof(f255,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f251,f111]) ).
fof(f256,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f255]) ).
fof(f257,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f248,f110]) ).
fof(f258,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f245,f109]) ).
fof(f260,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f259]) ).
fof(f261,plain,
$false,
inference(sat_refutation,[status(thm)],[f254,f256,f258,f260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO011-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:59:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.20/0.38 % Refutation found
% 0.20/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.38 % Elapsed time: 0.026717 seconds
% 0.20/0.38 % CPU time: 0.036262 seconds
% 0.20/0.38 % Memory used: 14.994 MB
%------------------------------------------------------------------------------