TPTP Problem File: SYO701+1.p
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% File : SYO701+1 : TPTP v9.0.0. Released v7.4.0.
% Domain : Syntactic
% Problem : SuperPostulates problem sp66
% Version : Especial.
% English :
% Refs : [Lam20] Lampert (2020), Email to Geoff Sutcliffe
% : [LN20] Lampert & Nakano (2020), Deciding Simple Infinity Axio
% Source : [Lam20]
% Names : sp66.p [Lam20]
% Status : Satisfiable
% Rating : 1.00 v7.4.0
% Syntax : Number of formulae : 7 ( 0 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 35 ( 15 ~; 10 |; 10 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 24 ( 13 !; 11 ?)
% SPC : FOF_SAT_RFO_NEQ
% Comments : Has only infinite models.
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fof(axiom_1,axiom,
? [Y1] :
( ? [Y2] :
( ? [Y4] :
( f(Y4,Y2)
& f(Y4,Y4) )
& ~ f(Y1,Y2) )
& ? [Y3] :
( f(Y1,Y3)
& ~ f(Y3,Y3) ) ) ).
fof(axiom_2,axiom,
? [Y1] :
( ? [Y2] :
( f(Y1,Y2)
& ? [Y3] :
( ? [Y4] : ~ f(Y4,Y3)
& ~ f(Y3,Y2) ) )
& ! [X1] :
( ~ f(Y1,X1)
| f(X1,X1) ) ) ).
fof(axiom_3,axiom,
! [X1] :
? [Y1] :
( f(X1,Y1)
& ? [Y2] : ~ f(Y2,Y1) ) ).
fof(axiom_4,axiom,
! [X1] :
? [Y1] :
( f(Y1,X1)
& ~ f(Y1,Y1)
& ! [X2] :
( ~ f(X2,X2)
| ~ f(X2,Y1) ) ) ).
fof(axiom_5,axiom,
! [X1,X2,X3] :
( ~ f(X1,X2)
| ~ f(X2,X3)
| f(X1,X3) ) ).
fof(axiom_6,axiom,
! [X1,X2] :
( f(X1,X2)
| ! [X3] :
( f(X2,X3)
| ~ f(X1,X3) ) ) ).
fof(axiom_7,axiom,
! [X1] :
( ! [X2] :
( ~ f(X1,X2)
| f(X2,X2) )
| ! [X3] :
( ~ f(X3,X1)
| ~ f(X3,X3) )
| f(X1,X1) ) ).
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