TPTP Problem File: ALG444^1.p
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% File : ALG444^1 : TPTP v9.0.0. Released v6.4.0.
% Domain : Algebra
% Problem : Axioms for Untyped lambda sigma calculus
% Version : [Bro09] axioms.
% English :
% Refs : [DHK95] Dowek et al. (1995), Higher-order Unification via Expl
% : [Zha08] Zhang (2008), Using LEO-II to Prove Properties of an E
% : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% : [Bro09] Brown (2009), M-Set Models
% Source : [TPTP]
% Names :
% Status : Satisfiable
% Rating : 0.33 v9.0.0, 0.00 v8.2.0, 0.33 v7.4.0, 0.67 v7.0.0, 0.33 v6.4.0
% Syntax : Number of formulae : 237 ( 113 unt; 124 typ; 113 def)
% Number of atoms : 1217 ( 161 equ; 0 cnn)
% Maximal formula atoms : 1 ( 10 avg)
% Number of connectives : 1942 ( 6 ~; 0 |; 4 &; 916 @)
% ( 2 <=>;1014 =>; 0 <=; 0 <~>)
% Maximal formula depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 128 ( 128 >; 0 *; 0 +; 0 <<)
% Number of symbols : 123 ( 122 usr; 111 con; 0-4 aty)
% Number of variables : 327 ( 39 ^; 283 !; 5 ?; 327 :)
% SPC : TH0_SAT_EQU_NAR
% Comments :
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%----Untyped lambda sigma calculus
include('Axioms/ALG003^0.ax').
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