TPTP Problem File: ARI735_1.p
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% File : ARI735_1 : TPTP v8.2.0. Released v6.4.0.
% Domain : Arithmetic
% Problem : Verification example
% Version : Especial.
% English :
% Refs : [Bau15a] Baumgartner (2015), Email to Geoff Sutcliffe
% : [Bau15b] Baumgartner (2015), SMTtoTPTP - A Converter for Theore
% Source : [Bau15a]
% Names : swv-double-2.p [Bau15a]
% Status : Theorem
% Rating : 0.12 v7.5.0, 0.20 v7.4.0, 0.12 v7.3.0, 0.17 v7.0.0, 0.00 v6.4.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% Number of atoms : 6 ( 3 equ)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 6 ( 1 ~; 0 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 10 ( 2 atm; 1 fun; 5 num; 2 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 1 !; 1 ?; 2 :)
% SPC : TF0_THM_EQU_ARI
% Comments : Converted from SMT using [Bau15b]
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tff(formula,conjecture,
! [I: $int] :
( $greatereq(I,0)
=> ( ( ( I = 0 )
=> $true )
& ( ( I != 0 )
=> ? [I_1: $int] :
( ( I_1 = $difference(I,1) )
& $greatereq(I_1,0) ) ) ) ) ).
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