TPTP Axioms File: SYN002+0.ax
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% File : SYN002+0 : TPTP v8.2.0. Released v3.6.0.
% Domain : Syntactic
% Axioms : Orevkov formula
% Version : [TS00] axioms : Especial.
% English : r(x,y,z)=y+2^x=z
% Refs : [TS00] Troelska & Schwichtenberg (2000), Basic Proof Theory
% : [Rat08] Raths (2008), Email to G. Sutcliffe
% Source : [Rat08]
% Names :
% Status : Satisfiable
% Syntax : Number of formulae : 2 ( 1 unt; 0 def)
% Number of atoms : 4 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 2 ( 0 ~; 0 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% SPC :
% Comments :
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fof(hyp1,axiom,
! [Y] : r(Y,zero,succ(Y)) ).
fof(hyp2,axiom,
! [Y,X,Z,Z1] :
( r(Y,X,Z)
=> ( r(Z,X,Z1)
=> r(Y,succ(X),Z1) ) ) ).
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