TPTP Problem File: ARI704_1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : ARI704_1 : TPTP v9.0.0. Released v6.3.0.
% Domain : Arithmetic
% Problem : Solve simple system of linear equations
% Version : Especial.
% English :
% Refs : [BHS07] Beckert et al. (2007), Verification of Object-Oriented
% : [Rue14] Ruemmer (2014), Email to Geoff Sutcliffe
% Source : [Rue14]
% Names : simplify27.pri [BHS07]
% : poly_simplify27.p [Rue14]
% Status : Satisfiable
% Rating : 0.00 v6.3.0
% Syntax : Number of formulae : 9 ( 4 unt; 5 typ; 0 def)
% Number of atoms : 4 ( 4 equ)
% Maximal formula atoms : 1 ( 0 avg)
% Number of connectives : 0 ( 0 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 19 ( 0 atm; 9 fun; 10 num; 0 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 14 ( 5 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% SPC : TF0_SAT_EQU_ARI
% Comments : KeY arithmetic regression test, http://www.key-project.org
%------------------------------------------------------------------------------
tff(x6_type,type,
x6: $int ).
tff(x5_type,type,
x5: $int ).
tff(x3_type,type,
x3: $int ).
tff(x4_type,type,
x4: $int ).
tff(x2_type,type,
x2: $int ).
tff(eq1,axiom,
x6 = 0 ).
tff(eq2,axiom,
$sum($product(2,x5),$product(1,x3)) = 0 ).
tff(eq3,axiom,
$sum($product(5,x4),$product(3,x2)) = 0 ).
tff(eq4,axiom,
$sum($product(7,x3),$product(11,x2)) = 0 ).
%------------------------------------------------------------------------------