TPTP Problem File: NUN058+1.p
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% File : NUN058+1 : TPTP v8.2.0. Released v7.3.0.
% Domain : Number Theory
% Problem : Robinson arithmetic: There exists even X > 4
% Version : Especial.
% English :
% Refs : [BBJ03] Boolos et al. (2003), Computability and Logic
% : [Smi07] Smith (2007), An Introduction to Goedel's Theorems
% : [Lam18] Lampert (2018), Email to Geoff Sutcliffe
% Source : [Lam18]
% Names : evengreq4id [Lam18]
% Status : Theorem
% Rating : 1.00 v7.3.0
% Syntax : Number of formulae : 19 ( 1 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 104 ( 34 ~; 26 |; 44 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 5 usr; 0 prp; 1-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 82 ( 47 !; 35 ?)
% SPC : FOF_THM_RFO_NEQ
% Comments : Translated to FOL without equality.
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include('Axioms/NUM009+0.ax').
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fof(evengreq4id,conjecture,
? [Y1] :
( ? [Y2,Y4] :
( ? [Y6] :
( id(Y6,Y1)
& ? [Y10] :
( r4(Y10,Y2,Y6)
& ? [Y12] :
( r2(Y12,Y10)
& ? [Y14] :
( r1(Y14)
& r2(Y14,Y12) ) ) ) )
& ? [Y8] :
( id(Y8,Y1)
& r3(Y2,Y4,Y8) ) )
& ? [Y3,Y5] :
( id(Y5,Y1)
& ? [Y7] :
( r3(Y3,Y7,Y5)
& ? [Y9] :
( r2(Y9,Y7)
& ? [Y11] :
( r2(Y11,Y9)
& ? [Y13] :
( r2(Y13,Y11)
& ? [Y15] :
( r1(Y15)
& r2(Y15,Y13) ) ) ) ) ) ) ) ).
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