%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW000_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:27:55 PM UTC 2026
% Result : Theorem 2.61s 1.05s
% Output : Refutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 28
% Syntax : Number of formulae : 124 ( 45 unt; 0 typ; 27 def)
% Number of atoms : 6671 (5357 equ)
% Maximal formula atoms : 788 ( 53 avg)
% Number of connectives : 10081 (3534 ~;2297 |;4223 &)
% ( 22 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 110 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 6488 (1115 atm; 0 fun;3336 num;2037 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 27 ( 22 usr; 24 prp; 0-2 aty)
% Number of functors : 25 ( 14 usr; 23 con; 0-1 aty)
% Number of variables : 2037 (2037 !; 0 ?;2037 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
z1: $int ).
tff(func_def_1,type,
z2: $int ).
tff(func_def_2,type,
z3: $int ).
tff(func_def_3,type,
z4: $int ).
tff(func_def_4,type,
z5: $int ).
tff(func_def_5,type,
a: $int > $int ).
tff(func_def_6,type,
b: $int > $int ).
tff(func_def_18,type,
sF0: $int ).
tff(func_def_19,type,
sF1: $int ).
tff(func_def_20,type,
sF2: $int ).
tff(func_def_21,type,
sF3: $int ).
tff(func_def_22,type,
sF4: $int ).
tff(func_def_23,type,
sF5: $int ).
tff(func_def_24,type,
sF6: $int ).
tff(f1,conjecture,
( ( ! [X0: $int] :
( $lesseq(1,b(X0))
& $lesseq(b(X0),5) )
& ! [X2: $int,X3: $int,X1: $int,X0: $int] :
~ ( ( X1 != X3 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( a(X0) = 2 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( b(X3) = 5 ) )
& ( z1 != z4 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( a(X2) = 7 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( b(X1) = 2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ( z3 != z4 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 12 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 4 )
& ( X1 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 6 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( a(X2) = 7 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( a(X2) = 7 )
& ( X1 != X3 )
& $less(X1,X0)
& ( a(X0) = 1 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X3) = 5 )
& ( X1 != X2 ) )
& ( z1 != z2 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X2) = 4 )
& ( a(X0) = 1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& ( b(X2) = 5 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( a(X0) = 7 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( X0 != X2 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( a(X2) = 6 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X3) = 2 ) )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X2 != X3 )
& $less(X1,X0)
& ( a(X3) = 1 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( b(X2) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 12 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X0) = 7 )
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( b(X2) = 2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ( z4 != z5 )
& ! [X0: $int] :
( $lesseq(1,a(X0))
& $lesseq(a(X0),12) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(b(X2),4)
& ( a(X1) = 10 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& ( a(X0) = 2 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& $less(X1,X0) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( X0 != X2 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X2) = 2 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X3) = 2 )
& ( X2 != X3 )
& $less(b(X1),3) )
& ( z1 != z3 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ( z2 != z5 )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( b(X3) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( X0 != X2 )
& ( a(X0) = 4 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( b(X3) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 7 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( X0 != X1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 6 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X1 != X2 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( b(X1) = 2 ) )
& ( z1 != z5 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( a(X0) = 5 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X2 != X3 )
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( X1 != X3 )
& ( b(X3) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( a(X0) = 5 )
& $less(b(X1),3)
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 4 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( b(X3) = 5 )
& ( X2 != X3 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( a(X0) = 1 ) )
& ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( X2 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( a(X2) = 8 )
& $less(X1,X0)
& ( a(X3) = 2 )
& ( a(X0) = 5 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X2 != X3 )
& ( X1 != X3 )
& ( a(X3) = 2 )
& ( b(X2) = 5 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& ( b(X3) = 2 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( b(X2) = 5 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( X2 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( a(X0) = 1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 5 )
& ( a(X0) = 7 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( a(X2) = 5 )
& ( X2 != X3 )
& ( b(X3) = 2 )
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X2 != X3 )
& ( b(X2) = 5 )
& ( a(X0) = 4 )
& ( b(X3) = 2 )
& $less(b(X1),3)
& ( X1 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( a(X0) = 2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 7 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( a(X2) = 8 )
& $less(b(X2),4)
& ( a(X0) = 1 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X0 != X2 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X2) = 7 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( b(X2) = 2 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X3) = 5 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 8 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(b(X2),4)
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X0) = 12 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X0) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X2),4)
& ( a(X1) = 10 )
& ( b(X0) = 5 ) )
& ( z2 != z4 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 3 )
& $less(b(X2),4)
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& $less(b(X0),4) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X2) = 6 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( a(X0) = 1 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X1 != X3 )
& $less(X1,X0)
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X2) = 5 )
& ( X1 != X2 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( b(X3) = 2 )
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& ( X0 != X3 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 6 )
& ( b(X2) = 5 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 12 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X2) = 4 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X3) = 2 )
& ( X0 != X3 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( X2 != X3 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X3) = 5 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X3 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( X0 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 4 )
& ( a(X2) = 8 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 8 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 4 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& $less(b(X0),4)
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( X0 != X3 )
& ( X1 != X3 )
& ( X0 != X1 )
& $less(b(X2),4)
& ( a(X1) = 10 )
& ( b(X3) = 5 ) )
& ! [X1: $int,X0: $int] :
~ ( ( a(X0) = 8 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ( z3 != z5 )
& ! [X1: $int,X0: $int] :
~ ( ( a(X0) = 9 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 ) )
& ( z2 != z3 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& ( a(X2) = 6 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( a(X0) = 1 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& $true
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 6 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( X0 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( X1 != X2 )
& $less(b(X2),4)
& ( X0 != X1 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X2) = 8 ) ) )
=> ~ ( ( a(z1) = 5 )
& $less(b(z2),3)
& ( a(z2) = 10 )
& ( a(z3) = 5 )
& ( a(z4) = 2 )
& ( b(z1) = 2 )
& $less(z2,z1)
& ( b(z3) = 5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: $int] :
( $lesseq(1,b(X0))
& $lesseq(b(X0),5) )
& ! [X2: $int,X3: $int,X1: $int,X0: $int] :
~ ( ( X1 != X3 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( a(X0) = 2 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( b(X3) = 5 ) )
& ( z1 != z4 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( a(X2) = 7 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( b(X1) = 2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ( z3 != z4 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 12 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 4 )
& ( X1 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 6 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( a(X2) = 7 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( a(X2) = 7 )
& ( X1 != X3 )
& $less(X1,X0)
& ( a(X0) = 1 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X3) = 5 )
& ( X1 != X2 ) )
& ( z1 != z2 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X2) = 4 )
& ( a(X0) = 1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& ( b(X2) = 5 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( a(X0) = 7 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( X0 != X2 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( a(X2) = 6 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X3) = 2 ) )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X2 != X3 )
& $less(X1,X0)
& ( a(X3) = 1 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( b(X2) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 12 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X0) = 7 )
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( b(X2) = 2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ( z4 != z5 )
& ! [X0: $int] :
( $lesseq(1,a(X0))
& $lesseq(a(X0),12) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(b(X2),4)
& ( a(X1) = 10 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& ( a(X0) = 2 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& $less(X1,X0) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( X0 != X2 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X2) = 2 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X3) = 2 )
& ( X2 != X3 )
& $less(b(X1),3) )
& ( z1 != z3 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ( z2 != z5 )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( b(X3) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( X0 != X2 )
& ( a(X0) = 4 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( b(X3) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 7 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( X0 != X1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 6 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X1 != X2 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( b(X1) = 2 ) )
& ( z1 != z5 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( a(X0) = 5 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X2 != X3 )
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( X1 != X3 )
& ( b(X3) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( a(X0) = 5 )
& $less(b(X1),3)
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 4 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( b(X3) = 5 )
& ( X2 != X3 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( a(X0) = 1 ) )
& ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( X2 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( a(X2) = 8 )
& $less(X1,X0)
& ( a(X3) = 2 )
& ( a(X0) = 5 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X2 != X3 )
& ( X1 != X3 )
& ( a(X3) = 2 )
& ( b(X2) = 5 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& ( b(X3) = 2 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( b(X2) = 5 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( X2 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( a(X0) = 1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 5 )
& ( a(X0) = 7 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( a(X2) = 5 )
& ( X2 != X3 )
& ( b(X3) = 2 )
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X2 != X3 )
& ( b(X2) = 5 )
& ( a(X0) = 4 )
& ( b(X3) = 2 )
& $less(b(X1),3)
& ( X1 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( a(X0) = 2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 7 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( a(X2) = 8 )
& $less(b(X2),4)
& ( a(X0) = 1 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X0 != X2 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X2) = 7 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( b(X2) = 2 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X3) = 5 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 8 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(b(X2),4)
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X0) = 12 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X0) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X2),4)
& ( a(X1) = 10 )
& ( b(X0) = 5 ) )
& ( z2 != z4 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 3 )
& $less(b(X2),4)
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& $less(b(X0),4) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X2) = 6 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( a(X0) = 1 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X1 != X3 )
& $less(X1,X0)
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X2) = 5 )
& ( X1 != X2 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( b(X3) = 2 )
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& ( X0 != X3 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 6 )
& ( b(X2) = 5 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 12 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X2) = 4 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X3) = 2 )
& ( X0 != X3 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( X2 != X3 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X3) = 5 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X3 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( X0 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 4 )
& ( a(X2) = 8 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 8 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 4 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& $less(b(X0),4)
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( X0 != X3 )
& ( X1 != X3 )
& ( X0 != X1 )
& $less(b(X2),4)
& ( a(X1) = 10 )
& ( b(X3) = 5 ) )
& ! [X1: $int,X0: $int] :
~ ( ( a(X0) = 8 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ( z3 != z5 )
& ! [X1: $int,X0: $int] :
~ ( ( a(X0) = 9 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 ) )
& ( z2 != z3 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& ( a(X2) = 6 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( a(X0) = 1 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& $true
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 6 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( X0 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( X1 != X2 )
& $less(b(X2),4)
& ( X0 != X1 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X2) = 8 ) ) )
=> ~ ( ( a(z1) = 5 )
& $less(b(z2),3)
& ( a(z2) = 10 )
& ( a(z3) = 5 )
& ( a(z4) = 2 )
& ( b(z1) = 2 )
& $less(z2,z1)
& ( b(z3) = 5 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ! [X0: $int] :
( ~ $less(b(X0),1)
& ~ $less(5,b(X0)) )
& ! [X2: $int,X3: $int,X1: $int,X0: $int] :
~ ( ( X1 != X3 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( a(X0) = 2 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( b(X3) = 5 ) )
& ( z1 != z4 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( a(X2) = 7 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( b(X1) = 2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ( z3 != z4 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 12 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 4 )
& ( X1 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 6 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( a(X2) = 7 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( a(X2) = 7 )
& ( X1 != X3 )
& $less(X1,X0)
& ( a(X0) = 1 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X3) = 5 )
& ( X1 != X2 ) )
& ( z1 != z2 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X2) = 4 )
& ( a(X0) = 1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& ( b(X2) = 5 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( a(X0) = 7 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( X0 != X2 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( a(X2) = 6 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X3) = 2 ) )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X2 != X3 )
& $less(X1,X0)
& ( a(X3) = 1 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( b(X2) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 12 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X0) = 7 )
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( b(X2) = 2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ( z4 != z5 )
& ! [X0: $int] :
( ~ $less(a(X0),1)
& ~ $less(12,a(X0)) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(b(X2),4)
& ( a(X1) = 10 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& ( a(X0) = 2 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& $less(X1,X0) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( X0 != X2 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X2) = 2 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X3) = 2 )
& ( X2 != X3 )
& $less(b(X1),3) )
& ( z1 != z3 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ( z2 != z5 )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( b(X3) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( X0 != X2 )
& ( a(X0) = 4 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( b(X3) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 7 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( X0 != X1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 6 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X1 != X2 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( b(X1) = 2 ) )
& ( z1 != z5 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( a(X0) = 5 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X2 != X3 )
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( X1 != X3 )
& ( b(X3) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( a(X0) = 5 )
& $less(b(X1),3)
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 4 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( b(X3) = 5 )
& ( X2 != X3 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( a(X0) = 1 ) )
& ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( X2 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( a(X2) = 8 )
& $less(X1,X0)
& ( a(X3) = 2 )
& ( a(X0) = 5 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X2 != X3 )
& ( X1 != X3 )
& ( a(X3) = 2 )
& ( b(X2) = 5 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& ( b(X3) = 2 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( b(X2) = 5 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( X2 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( a(X0) = 1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 5 )
& ( a(X0) = 7 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( a(X2) = 5 )
& ( X2 != X3 )
& ( b(X3) = 2 )
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X2 != X3 )
& ( b(X2) = 5 )
& ( a(X0) = 4 )
& ( b(X3) = 2 )
& $less(b(X1),3)
& ( X1 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( a(X0) = 2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 7 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( a(X2) = 8 )
& $less(b(X2),4)
& ( a(X0) = 1 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X0 != X2 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X2) = 7 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( b(X2) = 2 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X3) = 5 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 8 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(b(X2),4)
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X0) = 12 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X0) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X2),4)
& ( a(X1) = 10 )
& ( b(X0) = 5 ) )
& ( z2 != z4 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 3 )
& $less(b(X2),4)
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& $less(b(X0),4) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X2) = 6 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( a(X0) = 1 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X1 != X3 )
& $less(X1,X0)
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X2) = 5 )
& ( X1 != X2 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( b(X3) = 2 )
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& ( X0 != X3 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 6 )
& ( b(X2) = 5 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 12 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X2) = 4 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X3) = 2 )
& ( X0 != X3 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( X2 != X3 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X3) = 5 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X3 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( X0 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 4 )
& ( a(X2) = 8 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 8 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 4 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& $less(b(X0),4)
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( X0 != X3 )
& ( X1 != X3 )
& ( X0 != X1 )
& $less(b(X2),4)
& ( a(X1) = 10 )
& ( b(X3) = 5 ) )
& ! [X1: $int,X0: $int] :
~ ( ( a(X0) = 8 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ( z3 != z5 )
& ! [X1: $int,X0: $int] :
~ ( ( a(X0) = 9 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 ) )
& ( z2 != z3 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& ( a(X2) = 6 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( a(X0) = 1 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& $true
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 6 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( X0 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( X1 != X2 )
& $less(b(X2),4)
& ( X0 != X1 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X2) = 8 ) ) )
=> ~ ( ( a(z1) = 5 )
& $less(b(z2),3)
& ( a(z2) = 10 )
& ( a(z3) = 5 )
& ( a(z4) = 2 )
& ( b(z1) = 2 )
& $less(z2,z1)
& ( b(z3) = 5 ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f4,plain,
~ ( ( ! [X0: $int] :
( ~ $less(b(X0),1)
& ~ $less(5,b(X0)) )
& ! [X3: $int,X4: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 7 )
& ( X1 != X3 )
& ( X2 != X4 )
& ( X2 != X3 )
& ( X1 != X4 )
& ( 2 = a(X4) )
& $less(X3,X4)
& ( 10 = a(X3) )
& ( X3 != X4 )
& ( 5 = b(X2) )
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(b(X3),3) )
& ( z1 != z4 )
& ! [X5: $int,X6: $int,X7: $int] :
~ ( ( X5 != X7 )
& ( X5 != X6 )
& ( 7 = a(X6) )
& ( 2 = b(X6) )
& ( 5 = b(X5) )
& ( 2 = a(X5) )
& ( 10 = a(X7) )
& $less(X7,X5)
& $less(b(X7),3)
& ( X6 != X7 ) )
& ! [X8: $int,X9: $int,X10: $int] :
~ ( $less(X10,X8)
& ( X8 != X9 )
& ( 2 = b(X10) )
& ( 10 = a(X10) )
& ( 12 = a(X8) )
& ( X9 != X10 )
& ( 5 = b(X8) )
& ( X8 != X10 )
& ( 6 = a(X9) ) )
& ! [X13: $int,X11: $int,X12: $int] :
~ ( ( 4 = a(X13) )
& ( 10 = a(X11) )
& ( X11 != X12 )
& ( X11 != X13 )
& ( 6 = a(X12) )
& ( 2 = b(X11) )
& $less(X11,X13)
& ( 5 = b(X13) )
& ( X12 != X13 ) )
& ( z3 != z4 )
& ! [X14: $int,X16: $int,X15: $int] :
~ ( ( 2 = b(X16) )
& $less(X16,X15)
& ( 10 = a(X16) )
& ( X14 != X15 )
& ( 5 = b(X15) )
& ( 4 = a(X15) )
& ( X14 != X16 )
& ( 5 = a(X14) )
& ( X15 != X16 ) )
& ! [X17: $int,X18: $int] :
~ ( ( 10 = a(X18) )
& ( 10 = a(X17) )
& ( X17 != X18 ) )
& ! [X21: $int,X19: $int,X20: $int] :
~ ( ( 2 = b(X19) )
& ( X19 != X21 )
& $less(X19,X20)
& ( X19 != X20 )
& ( 12 = a(X20) )
& ( X20 != X21 )
& ( 10 = a(X19) )
& ( 4 = a(X21) )
& ( 5 = b(X20) ) )
& ! [X23: $int,X24: $int,X22: $int] :
~ ( ( 7 = a(X22) )
& $less(X24,X23)
& $less(b(X24),3)
& ( 10 = a(X24) )
& ( X22 != X23 )
& ( 6 = a(X23) )
& ( X22 != X24 )
& ( 5 = b(X23) )
& ( X23 != X24 ) )
& ! [X25: $int,X28: $int,X27: $int,X26: $int] :
~ ( ( 1 = a(X25) )
& ( X26 != X28 )
& ( X26 != X27 )
& ( X25 != X27 )
& ( X25 != X28 )
& $less(X27,X25)
& ( 5 = b(X28) )
& ( X25 != X26 )
& ( 2 = b(X26) )
& ( X27 != X28 )
& ( 7 = a(X26) )
& $less(b(X27),3)
& ( 10 = a(X27) ) )
& ( z1 != z2 )
& ! [X31: $int,X30: $int,X29: $int] :
~ ( ( X29 != X31 )
& ( X30 != X31 )
& ( 5 = b(X30) )
& ( 2 = b(X29) )
& ( 4 = a(X31) )
& ( 10 = a(X29) )
& ( 1 = a(X30) )
& ( X29 != X30 )
& $less(X29,X30) )
& ! [X34: $int,X32: $int,X33: $int] :
~ ( $less(X33,X34)
& ( 2 = b(X33) )
& ( X33 != X34 )
& ( 5 = b(X32) )
& ( X32 != X34 )
& ( X32 != X33 )
& ( 10 = a(X33) )
& ( 5 = a(X34) ) )
& ! [X35: $int,X36: $int,X37: $int] :
~ ( ( 5 = b(X37) )
& ( 2 = b(X36) )
& ( 7 = a(X37) )
& ( X35 != X37 )
& ( X35 != X36 )
& $less(X36,X37)
& ( 5 = a(X35) )
& ( X36 != X37 )
& ( 10 = a(X36) ) )
& ! [X41: $int,X39: $int,X40: $int,X38: $int] :
~ ( ( X38 != X39 )
& $less(b(X38),3)
& ( 10 = a(X38) )
& ( X38 != X41 )
& ( 6 = a(X40) )
& ( 5 = b(X41) )
& ( X38 != X40 )
& ( 2 = b(X39) )
& $less(X38,X41)
& ( 5 = a(X41) )
& ( X40 != X41 )
& ( X39 != X40 )
& ( X39 != X41 ) )
& ! [X43: $int,X42: $int,X45: $int,X44: $int] :
~ ( $less(X42,X45)
& ( X43 != X45 )
& ( 5 = a(X45) )
& ( 10 = a(X42) )
& ( 5 = b(X44) )
& ( X43 != X44 )
& ( X42 != X45 )
& ( X42 != X43 )
& $less(b(X42),3)
& ( 1 = a(X43) )
& ( X44 != X45 )
& ( X42 != X44 ) )
& ! [X48: $int,X47: $int,X46: $int] :
~ ( ( X46 != X48 )
& ( 2 = b(X47) )
& $less(X47,X48)
& ( X46 != X47 )
& ( 5 = a(X46) )
& ( 10 = a(X47) )
& ( 12 = a(X48) )
& ( X47 != X48 )
& ( 5 = b(X48) ) )
& ! [X50: $int,X49: $int,X51: $int] :
~ ( ( X50 != X51 )
& ( 5 = b(X51) )
& ( 10 = a(X49) )
& ( 6 = a(X50) )
& ( X49 != X50 )
& $less(X49,X51)
& $less(b(X49),3)
& ( 7 = a(X51) )
& ( X49 != X51 ) )
& ! [X53: $int,X52: $int,X54: $int] :
~ ( ( 10 = a(X52) )
& ( X53 != X54 )
& ( X52 != X54 )
& $less(X52,X53)
& ( 5 = b(X53) )
& ( 2 = b(X54) )
& $less(b(X52),3)
& ( 5 = a(X53) )
& ( X52 != X53 )
& ( 7 = a(X54) ) )
& ( z4 != z5 )
& ! [X55: $int] :
( ~ $less(12,a(X55))
& ~ $less(a(X55),1) )
& ! [X56: $int,X58: $int,X57: $int] :
~ ( ( X56 != X57 )
& ( X56 != X58 )
& ( 2 = b(X57) )
& $less(X57,X56)
& ( 4 = a(X56) )
& ( 10 = a(X57) )
& ( X57 != X58 )
& ( 5 = b(X58) ) )
& ! [X60: $int,X59: $int,X62: $int,X61: $int] :
~ ( ( 7 = a(X61) )
& ( 2 = b(X60) )
& ( 5 = b(X62) )
& $less(X60,X59)
& ( X61 != X62 )
& ( X60 != X61 )
& ( X60 != X62 )
& ( 2 = a(X59) )
& ( X59 != X62 )
& ( X59 != X61 )
& ( X59 != X60 )
& $less(b(X61),4)
& ( 10 = a(X60) ) )
& ! [X65: $int,X63: $int,X64: $int,X66: $int] :
~ ( ( X65 != X66 )
& ( 5 = a(X63) )
& ( X63 != X64 )
& ( 10 = a(X65) )
& ( X64 != X65 )
& ( X64 != X66 )
& ( 5 = a(X66) )
& ( 2 = b(X64) )
& $less(b(X65),3)
& ( X63 != X66 )
& ( 5 = b(X63) )
& ( 2 = b(X66) )
& ( X63 != X65 )
& $less(X65,X63) )
& ( z1 != z3 )
& ! [X69: $int,X67: $int,X68: $int] :
~ ( ( 10 = a(X67) )
& ( 12 = a(X68) )
& $less(X67,X68)
& ( 7 = a(X69) )
& ( 2 = b(X67) )
& ( X67 != X69 )
& ( X68 != X69 )
& $less(b(X69),4)
& ( 5 = b(X68) )
& ( X67 != X68 ) )
& ( z2 != z5 )
& ! [X73: $int,X70: $int,X71: $int,X72: $int] :
~ ( ( X72 != X73 )
& ( X70 != X73 )
& ( 2 = b(X73) )
& ( 5 = a(X71) )
& ( X71 != X73 )
& ( 5 = b(X71) )
& $less(b(X72),3)
& ( 7 = a(X70) )
& ( X71 != X72 )
& $less(X72,X71)
& ( X70 != X71 )
& ( 10 = a(X72) )
& ( X70 != X72 ) )
& ! [X74: $int,X77: $int,X75: $int,X76: $int] :
~ ( ( X74 != X77 )
& ( X76 != X77 )
& ( X74 != X75 )
& ( X75 != X76 )
& $less(b(X75),3)
& ( X75 != X77 )
& ( 2 = b(X74) )
& ( 4 = a(X76) )
& ( 7 = a(X74) )
& ( X74 != X76 )
& ( 5 = b(X77) )
& ( 10 = a(X75) )
& $less(X75,X76) )
& ! [X78: $int,X80: $int,X79: $int] :
~ ( ( 7 = a(X78) )
& ( 10 = a(X80) )
& ( 5 = b(X78) )
& ( X79 != X80 )
& ( X78 != X80 )
& $less(X80,X78)
& ( 7 = a(X79) )
& $less(b(X80),3)
& ( X78 != X79 ) )
& ! [X82: $int,X81: $int,X83: $int] :
~ ( ( 6 = a(X83) )
& $less(b(X82),3)
& ( X81 != X82 )
& ( X81 != X83 )
& ( 8 = a(X81) )
& ( 10 = a(X82) )
& $less(X82,X83)
& ( X82 != X83 ) )
& ! [X84: $int,X86: $int,X85: $int] :
~ ( ( X84 != X85 )
& ( 10 = a(X84) )
& ( 8 = a(X85) )
& ( 5 = a(X86) )
& ( X85 != X86 )
& ( X84 != X86 )
& ( 2 = b(X84) )
& $less(X84,X86) )
& ! [X89: $int,X87: $int,X88: $int] :
~ ( ( 5 = b(X87) )
& ( 5 = a(X88) )
& ( X87 != X88 )
& ( 10 = a(X89) )
& $less(X89,X87)
& ( 1 = a(X87) )
& ( X88 != X89 )
& ( 2 = b(X89) )
& ( X87 != X89 ) )
& ( z1 != z5 )
& ! [X92: $int,X90: $int,X91: $int] :
~ ( ( 2 = a(X91) )
& $less(X90,X91)
& ( 2 = b(X90) )
& ( X90 != X91 )
& ( 5 = a(X92) )
& ( 5 = b(X91) )
& ( X91 != X92 )
& ( 10 = a(X90) )
& ( X90 != X92 ) )
& ! [X95: $int,X94: $int,X96: $int,X93: $int] :
~ ( $less(X96,X93)
& ( X94 != X96 )
& ( 2 = b(X95) )
& ( X93 != X96 )
& ( X94 != X95 )
& ( X93 != X95 )
& ( 5 = a(X93) )
& ( 8 = a(X94) )
& ( X95 != X96 )
& $less(b(X96),3)
& ( X93 != X94 )
& ( 10 = a(X96) ) )
& ! [X99: $int,X97: $int,X98: $int] :
~ ( ( X97 != X98 )
& $less(b(X97),3)
& ( 10 = a(X97) )
& $less(X97,X98)
& ( X98 != X99 )
& ( 5 = a(X98) )
& ( 2 = b(X99) )
& ( 8 = a(X99) )
& ( X97 != X99 ) )
& ! [X100: $int,X102: $int,X101: $int] :
~ ( ( 4 = a(X102) )
& ( 5 = b(X101) )
& ( 10 = a(X100) )
& ( X101 != X102 )
& ( 2 = a(X101) )
& ( X100 != X102 )
& ( X100 != X101 )
& ( 2 = b(X100) )
& $less(X100,X101) )
& ! [X103: $int,X105: $int,X104: $int] :
~ ( $less(b(X105),4)
& ( 2 = b(X104) )
& ( X103 != X104 )
& ( X104 != X105 )
& ( X103 != X105 )
& ( 8 = a(X104) )
& $less(b(X103),3)
& ( 3 = a(X105) )
& ( 10 = a(X103) )
& $less(X103,X105) )
& ! [X108: $int,X107: $int,X109: $int,X106: $int] :
~ ( ( X106 != X107 )
& $less(X106,X108)
& ( 7 = a(X107) )
& ( X106 != X109 )
& ( 10 = a(X106) )
& $less(b(X107),4)
& ( X107 != X109 )
& ( 1 = a(X108) )
& ( 2 = b(X106) )
& ( X108 != X109 )
& ( X107 != X108 )
& ( 5 = b(X109) )
& ( X106 != X108 ) )
& ! [X110: $int,X111: $int,X112: $int,X113: $int] :
~ ( ( 10 = a(X113) )
& ( X112 != X113 )
& ( 8 = a(X112) )
& ( X110 != X112 )
& $less(X113,X110)
& ( X110 != X111 )
& $less(b(X113),3)
& ( X110 != X113 )
& ( 5 = a(X110) )
& ( 2 = a(X111) )
& ( X111 != X112 )
& ( X111 != X113 ) )
& ! [X117: $int,X114: $int,X115: $int,X116: $int] :
~ ( ( X114 != X116 )
& ( X115 != X116 )
& ( X114 != X115 )
& ( 5 = a(X114) )
& $less(X115,X114)
& ( 5 = b(X117) )
& ( 10 = a(X115) )
& ( 2 = a(X116) )
& $less(b(X115),3)
& ( X116 != X117 )
& ( X115 != X117 )
& ( X114 != X117 ) )
& ! [X118: $int,X119: $int,X120: $int,X121: $int] :
~ ( ( 5 = b(X119) )
& ( X119 != X120 )
& ( 2 = b(X121) )
& ( X118 != X121 )
& $less(X118,X120)
& $less(b(X118),3)
& ( X118 != X120 )
& ( X120 != X121 )
& ( 5 = a(X120) )
& ( X119 != X121 )
& ( X118 != X119 )
& ( 10 = a(X118) ) )
& ! [X124: $int,X122: $int,X123: $int] :
~ ( ( 5 = b(X124) )
& ( 10 = a(X122) )
& $less(X122,X124)
& ( X122 != X123 )
& ( 2 = b(X122) )
& ( 1 = a(X124) )
& ( 7 = a(X123) )
& $less(b(X123),4)
& ( X123 != X124 )
& ( X122 != X124 ) )
& ! [X126: $int,X127: $int,X125: $int] :
~ ( ( X125 != X126 )
& $less(b(X126),3)
& ( 7 = a(X127) )
& ( 5 = b(X125) )
& ( 10 = a(X126) )
& ( X126 != X127 )
& $less(X126,X127)
& ( X125 != X127 ) )
& ! [X130: $int,X128: $int,X129: $int] :
~ ( ( 2 = a(X130) )
& ( X128 != X129 )
& ( 6 = a(X129) )
& $less(X128,X130)
& ( X128 != X130 )
& ( X129 != X130 )
& ( 10 = a(X128) )
& ( 2 = b(X128) )
& ( 5 = b(X130) ) )
& ! [X134: $int,X132: $int,X131: $int,X133: $int] :
~ ( ( 2 = b(X132) )
& ( X132 != X134 )
& ( X131 != X133 )
& ( X131 != X134 )
& ( X132 != X133 )
& $less(X134,X133)
& ( 5 = b(X133) )
& ( X133 != X134 )
& ( 5 = a(X131) )
& ( 7 = a(X133) )
& $less(b(X134),3)
& ( 10 = a(X134) )
& ( X131 != X132 ) )
& ! [X135: $int,X137: $int,X138: $int,X136: $int] :
~ ( ( X137 != X138 )
& ( X135 != X137 )
& ( X136 != X138 )
& $less(X138,X137)
& ( X135 != X136 )
& ( 4 = a(X137) )
& ( 5 = b(X136) )
& $less(b(X138),3)
& ( 10 = a(X138) )
& ( X136 != X137 )
& ( 2 = b(X135) )
& ( X135 != X138 ) )
& ! [X141: $int,X139: $int,X140: $int] :
~ ( ( X139 != X141 )
& ( 8 = a(X139) )
& $less(b(X141),3)
& ( 10 = a(X141) )
& ( 2 = b(X139) )
& ( 2 = a(X140) )
& ( X139 != X140 )
& ( X140 != X141 )
& $less(X141,X140) )
& ! [X143: $int,X144: $int,X142: $int] :
~ ( $less(X142,X144)
& ( 5 = b(X144) )
& ( 4 = a(X143) )
& ( X142 != X143 )
& ( X143 != X144 )
& ( 10 = a(X142) )
& ( X142 != X144 )
& ( 7 = a(X144) )
& ( 2 = b(X142) ) )
& ! [X145: $int,X146: $int,X147: $int] :
~ ( $less(X145,X147)
& ( 5 = b(X147) )
& ( X146 != X147 )
& ( X145 != X146 )
& ( X145 != X147 )
& ( 10 = a(X145) )
& ( 2 = b(X145) )
& ( 4 = a(X147) )
& ( 7 = a(X146) ) )
& ! [X149: $int,X150: $int,X148: $int] :
~ ( $less(b(X149),4)
& ( X149 != X150 )
& ( X148 != X149 )
& ( 2 = b(X148) )
& $less(X148,X150)
& ( 8 = a(X149) )
& ( X148 != X150 )
& ( 10 = a(X148) )
& ( 1 = a(X150) ) )
& ! [X153: $int,X151: $int,X152: $int,X154: $int] :
~ ( $less(b(X153),3)
& ( X151 != X152 )
& ( 2 = b(X152) )
& ( 7 = a(X152) )
& ( X151 != X153 )
& ( X152 != X154 )
& ( 5 = b(X151) )
& ( X151 != X154 )
& $less(X153,X154)
& ( X153 != X154 )
& ( 10 = a(X153) )
& ( 12 = a(X154) )
& ( X152 != X153 ) )
& ! [X157: $int,X158: $int,X155: $int,X156: $int] :
~ ( ( X157 != X158 )
& ( X155 != X158 )
& ( 7 = a(X155) )
& $less(b(X156),3)
& ( X156 != X158 )
& ( X155 != X156 )
& ( 2 = b(X155) )
& ( 10 = a(X156) )
& ( 3 = a(X157) )
& $less(b(X157),4)
& ( X155 != X157 )
& ( X156 != X157 )
& $less(X156,X157)
& ( 5 = b(X158) ) )
& ! [X161: $int,X159: $int,X160: $int] :
~ ( ( X160 != X161 )
& ( 2 = b(X161) )
& ( X159 != X161 )
& $less(b(X159),4)
& ( 10 = a(X161) )
& $less(X161,X160)
& ( 8 = a(X159) )
& ( 2 = a(X160) )
& ( X159 != X160 ) )
& ! [X163: $int,X164: $int,X162: $int] :
~ ( ( 10 = a(X163) )
& ( X162 != X163 )
& ( X162 != X164 )
& ( 12 = a(X162) )
& ( 8 = a(X164) )
& ( 2 = b(X164) )
& ( X163 != X164 )
& $less(b(X163),3)
& $less(X163,X162) )
& ! [X167: $int,X165: $int,X166: $int] :
~ ( ( 2 = b(X165) )
& ( X166 != X167 )
& ( X165 != X166 )
& ( 10 = a(X165) )
& ( 7 = a(X166) )
& $less(X165,X167)
& ( 5 = b(X167) )
& $less(b(X166),4)
& ( 2 = a(X167) )
& ( X165 != X167 ) )
& ( z2 != z4 )
& ! [X170: $int,X169: $int,X168: $int] :
~ ( ( X168 != X169 )
& ( 1 = a(X168) )
& ( 10 = a(X169) )
& ( X168 != X170 )
& ( 5 = b(X168) )
& $less(X169,X168)
& ( 6 = a(X170) )
& ( 2 = b(X169) )
& ( X169 != X170 ) )
& ! [X172: $int,X173: $int,X171: $int] :
~ ( ( 3 = a(X172) )
& ( X171 != X172 )
& ( 10 = a(X171) )
& ( X171 != X173 )
& $less(b(X173),4)
& $less(b(X172),4)
& ( X172 != X173 )
& ( 8 = a(X173) )
& ( 2 = b(X171) )
& $less(X171,X172) )
& ! [X176: $int,X175: $int,X174: $int] :
~ ( $less(X175,X176)
& ( X174 != X176 )
& ( X175 != X176 )
& $less(b(X175),3)
& ( X174 != X175 )
& ( 2 = b(X174) )
& ( 6 = a(X174) )
& ( 10 = a(X175) )
& ( 5 = a(X176) )
& ( 5 = b(X176) ) )
& ! [X177: $int,X178: $int,X179: $int] :
~ ( ( 8 = a(X179) )
& $less(X178,X177)
& ( X177 != X178 )
& ( X177 != X179 )
& ( 10 = a(X178) )
& ( X178 != X179 )
& ( 2 = b(X179) )
& ( 1 = a(X177) )
& $less(b(X178),3) )
& ! [X183: $int,X181: $int,X182: $int,X180: $int] :
~ ( ( 6 = a(X181) )
& ( 5 = a(X182) )
& ( X180 != X182 )
& $less(b(X180),3)
& ( X180 != X181 )
& ( X182 != X183 )
& ( 5 = b(X181) )
& ( X181 != X183 )
& $less(X180,X181)
& ( X181 != X182 )
& ( 2 = b(X183) )
& ( X180 != X183 )
& ( 10 = a(X180) ) )
& ! [X185: $int,X184: $int,X186: $int] :
~ ( ( X185 != X186 )
& ( X184 != X185 )
& ( 5 = b(X184) )
& ( 6 = a(X186) )
& ( X184 != X186 )
& $less(b(X185),3)
& ( 10 = a(X185) )
& $less(X185,X186) )
& ! [X189: $int,X187: $int,X188: $int] :
~ ( ( 12 = a(X189) )
& ( X187 != X189 )
& ( 10 = a(X188) )
& ( X188 != X189 )
& ( 7 = a(X187) )
& ( X187 != X188 )
& ( 2 = b(X187) )
& ( 5 = b(X189) )
& $less(b(X188),3)
& $less(X188,X189) )
& ! [X191: $int,X190: $int,X192: $int] :
~ ( ( X190 != X191 )
& ( X190 != X192 )
& ( 10 = a(X192) )
& ( 4 = a(X191) )
& ( 5 = b(X190) )
& ( 2 = b(X192) )
& ( X191 != X192 )
& ( 4 = a(X190) )
& $less(X192,X190) )
& ! [X193: $int,X195: $int,X194: $int] :
~ ( ( X193 != X194 )
& ( 5 = b(X194) )
& ( 10 = a(X195) )
& $less(X195,X194)
& ( X193 != X195 )
& ( X194 != X195 )
& ( 5 = a(X193) )
& ( 6 = a(X194) )
& ( 2 = b(X195) ) )
& ! [X197: $int,X196: $int,X198: $int] :
~ ( ( X196 != X198 )
& ( 5 = b(X197) )
& ( 7 = a(X198) )
& ( X197 != X198 )
& $less(b(X196),3)
& ( 4 = a(X197) )
& ( 2 = b(X198) )
& ( X196 != X197 )
& ( 10 = a(X196) )
& $less(X196,X197) )
& ! [X199: $int,X200: $int,X202: $int,X201: $int] :
~ ( ( X200 != X201 )
& $less(b(X199),3)
& ( 5 = b(X202) )
& ( 10 = a(X199) )
& ( X200 != X202 )
& ( X199 != X200 )
& $less(X199,X201)
& ( 4 = a(X201) )
& ( X199 != X201 )
& ( X199 != X202 )
& ( X201 != X202 )
& ( 2 = a(X200) ) )
& ! [X203: $int,X204: $int,X205: $int,X206: $int] :
~ ( $less(X205,X203)
& ( 2 = b(X205) )
& ( 10 = a(X205) )
& ( 5 = b(X204) )
& ( X204 != X205 )
& ( X203 != X206 )
& ( 7 = a(X206) )
& ( X203 != X204 )
& ( X205 != X206 )
& $less(b(X206),4)
& ( 12 = a(X203) )
& ( X204 != X206 )
& ( X203 != X205 ) )
& ! [X208: $int,X209: $int,X210: $int,X207: $int] :
~ ( ( X208 != X210 )
& ( X208 != X209 )
& ( 2 = b(X209) )
& ( 8 = a(X210) )
& ( X207 != X208 )
& $less(X208,X207)
& ( X207 != X210 )
& ( 4 = a(X207) )
& $less(b(X208),3)
& ( X209 != X210 )
& ( X207 != X209 )
& ( 10 = a(X208) ) )
& ! [X211: $int,X212: $int,X213: $int] :
~ ( ( X211 != X213 )
& ( X212 != X213 )
& ( 4 = a(X211) )
& ( 10 = a(X212) )
& ( 5 = b(X213) )
& ( X211 != X212 )
& $less(X212,X213)
& ( 5 = a(X213) )
& ( 2 = b(X212) ) )
& ! [X214: $int,X215: $int,X216: $int] :
~ ( ( X214 != X216 )
& ( X214 != X215 )
& ( 8 = a(X215) )
& ( X215 != X216 )
& ( 2 = b(X215) )
& ( 4 = a(X216) )
& ( 10 = a(X214) )
& $less(X214,X216)
& $less(b(X214),3) )
& ! [X220: $int,X217: $int,X218: $int,X219: $int] :
~ ( ( 10 = a(X217) )
& $less(b(X218),4)
& ( 3 = a(X218) )
& ( 2 = b(X217) )
& ( X217 != X220 )
& ( X217 != X219 )
& ( 5 = b(X220) )
& ( X217 != X218 )
& ( X218 != X219 )
& $less(X217,X218)
& $less(b(X219),4)
& ( X218 != X220 )
& ( 7 = a(X219) )
& ( X219 != X220 ) )
& ! [X221: $int,X222: $int] :
~ ( $less(b(X221),3)
& ( X221 != X222 )
& ( 8 = a(X222) )
& ( 10 = a(X221) )
& $less(X221,X222) )
& ! [X224: $int,X225: $int,X223: $int] :
~ ( $less(b(X224),3)
& $less(X224,X225)
& ( X224 != X225 )
& ( X223 != X225 )
& ( X223 != X224 )
& ( 8 = a(X223) )
& ( 10 = a(X224) )
& ( 7 = a(X225) ) )
& ! [X228: $int,X226: $int,X227: $int] :
~ ( ( 2 = b(X227) )
& ( X226 != X227 )
& ( 8 = a(X228) )
& ( 10 = a(X227) )
& ( X226 != X228 )
& ( X227 != X228 )
& $less(X227,X226)
& ( 4 = a(X226) ) )
& ( z3 != z5 )
& ! [X230: $int,X229: $int] :
~ ( ( X229 != X230 )
& $less(b(X229),3)
& ( 9 = a(X230) )
& $less(X229,X230)
& ( 10 = a(X229) ) )
& ! [X232: $int,X233: $int,X231: $int] :
~ ( ( X232 != X233 )
& ( X231 != X233 )
& ( 2 = b(X233) )
& ( X231 != X232 )
& ( 5 = b(X232) )
& $less(X233,X232)
& ( 5 = a(X232) )
& ( 5 = a(X231) )
& ( 10 = a(X233) ) )
& ( z2 != z3 )
& ! [X235: $int,X234: $int,X236: $int] :
~ ( ( X234 != X235 )
& ( 5 = b(X235) )
& ( X234 != X236 )
& ( 2 = b(X234) )
& ( 6 = a(X236) )
& ( X235 != X236 )
& $less(X234,X235)
& ( 5 = a(X235) )
& ( 10 = a(X234) ) )
& ! [X239: $int,X238: $int,X237: $int] :
~ ( ( X237 != X238 )
& ( 6 = a(X239) )
& $less(X238,X237)
& $less(b(X238),3)
& ( 10 = a(X238) )
& ( X238 != X239 )
& ( 5 = b(X237) )
& ( X237 != X239 )
& ( 6 = a(X237) ) )
& ! [X242: $int,X241: $int,X240: $int] :
~ ( ( X240 != X242 )
& ( 5 = a(X240) )
& ( 7 = a(X241) )
& $less(X242,X240)
& ( X241 != X242 )
& ( X240 != X241 )
& ( 10 = a(X242) )
& ( 5 = b(X240) )
& ( 2 = b(X242) ) )
& ! [X245: $int,X244: $int,X243: $int] :
~ ( ( 7 = a(X243) )
& $less(b(X244),3)
& $less(X244,X245)
& ( X243 != X244 )
& ( 5 = b(X245) )
& ( X243 != X245 )
& ( 2 = b(X243) )
& ( 10 = a(X244) )
& ( 1 = a(X245) )
& ( X244 != X245 ) )
& $true
& ! [X247: $int,X246: $int,X248: $int] :
~ ( ( 2 = b(X248) )
& ( 10 = a(X248) )
& ( X247 != X248 )
& ( 5 = b(X246) )
& $less(X248,X246)
& ( X246 != X248 )
& ( 6 = a(X246) )
& ( X246 != X247 )
& ( 4 = a(X247) ) )
& ! [X250: $int,X251: $int,X249: $int] :
~ ( ( 2 = b(X251) )
& ( X249 != X250 )
& $less(b(X250),4)
& ( 12 = a(X249) )
& ( 8 = a(X250) )
& ( X249 != X251 )
& ( X250 != X251 )
& $less(X251,X249)
& ( 10 = a(X251) ) ) )
=> ~ ( ( a(z1) = 5 )
& $less(b(z2),3)
& ( a(z2) = 10 )
& ( a(z3) = 5 )
& ( a(z4) = 2 )
& ( b(z1) = 2 )
& $less(z2,z1)
& ( b(z3) = 5 ) ) ),
inference(rectify,[],[f3]) ).
tff(f5,plain,
~ ( ( ! [X48: $int,X47: $int,X46: $int] :
~ ( ( X46 != X48 )
& ( 2 = b(X47) )
& $less(X47,X48)
& ( X46 != X47 )
& ( 5 = a(X46) )
& ( 10 = a(X47) )
& ( 12 = a(X48) )
& ( X47 != X48 )
& ( 5 = b(X48) ) )
& ! [X221: $int,X222: $int] :
~ ( $less(b(X221),3)
& ( X221 != X222 )
& ( 8 = a(X222) )
& ( 10 = a(X221) )
& $less(X221,X222) )
& ! [X82: $int,X81: $int,X83: $int] :
~ ( ( 6 = a(X83) )
& $less(b(X82),3)
& ( X81 != X82 )
& ( X81 != X83 )
& ( 8 = a(X81) )
& ( 10 = a(X82) )
& $less(X82,X83)
& ( X82 != X83 ) )
& ! [X8: $int,X9: $int,X10: $int] :
~ ( $less(X10,X8)
& ( X8 != X9 )
& ( 2 = b(X10) )
& ( 10 = a(X10) )
& ( 12 = a(X8) )
& ( X9 != X10 )
& ( 5 = b(X8) )
& ( X8 != X10 )
& ( 6 = a(X9) ) )
& ! [X193: $int,X195: $int,X194: $int] :
~ ( ( X193 != X194 )
& ( 5 = b(X194) )
& ( 10 = a(X195) )
& $less(X195,X194)
& ( X193 != X195 )
& ( X194 != X195 )
& ( 5 = a(X193) )
& ( 6 = a(X194) )
& ( 2 = b(X195) ) )
& ! [X145: $int,X146: $int,X147: $int] :
~ ( $less(X145,X147)
& ( 5 = b(X147) )
& ( X146 != X147 )
& ( X145 != X146 )
& ( X145 != X147 )
& ( 10 = a(X145) )
& ( 2 = b(X145) )
& ( 4 = a(X147) )
& ( 7 = a(X146) ) )
& ! [X170: $int,X169: $int,X168: $int] :
~ ( ( X168 != X169 )
& ( 1 = a(X168) )
& ( 10 = a(X169) )
& ( X168 != X170 )
& ( 5 = b(X168) )
& $less(X169,X168)
& ( 6 = a(X170) )
& ( 2 = b(X169) )
& ( X169 != X170 ) )
& ! [X3: $int,X4: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 7 )
& ( X1 != X3 )
& ( X2 != X4 )
& ( X2 != X3 )
& ( X1 != X4 )
& ( 2 = a(X4) )
& $less(X3,X4)
& ( 10 = a(X3) )
& ( X3 != X4 )
& ( 5 = b(X2) )
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(b(X3),3) )
& ! [X78: $int,X80: $int,X79: $int] :
~ ( ( 7 = a(X78) )
& ( 10 = a(X80) )
& ( 5 = b(X78) )
& ( X79 != X80 )
& ( X78 != X80 )
& $less(X80,X78)
& ( 7 = a(X79) )
& $less(b(X80),3)
& ( X78 != X79 ) )
& ! [X228: $int,X226: $int,X227: $int] :
~ ( ( 2 = b(X227) )
& ( X226 != X227 )
& ( 8 = a(X228) )
& ( 10 = a(X227) )
& ( X226 != X228 )
& ( X227 != X228 )
& $less(X227,X226)
& ( 4 = a(X226) ) )
& ! [X245: $int,X244: $int,X243: $int] :
~ ( ( 7 = a(X243) )
& $less(b(X244),3)
& $less(X244,X245)
& ( X243 != X244 )
& ( 5 = b(X245) )
& ( X243 != X245 )
& ( 2 = b(X243) )
& ( 10 = a(X244) )
& ( 1 = a(X245) )
& ( X244 != X245 ) )
& ! [X224: $int,X225: $int,X223: $int] :
~ ( $less(b(X224),3)
& $less(X224,X225)
& ( X224 != X225 )
& ( X223 != X225 )
& ( X223 != X224 )
& ( 8 = a(X223) )
& ( 10 = a(X224) )
& ( 7 = a(X225) ) )
& ! [X14: $int,X16: $int,X15: $int] :
~ ( ( 2 = b(X16) )
& $less(X16,X15)
& ( 10 = a(X16) )
& ( X14 != X15 )
& ( 5 = b(X15) )
& ( 4 = a(X15) )
& ( X14 != X16 )
& ( 5 = a(X14) )
& ( X15 != X16 ) )
& ( z2 != z5 )
& ( z3 != z4 )
& ! [X117: $int,X114: $int,X115: $int,X116: $int] :
~ ( ( X114 != X116 )
& ( X115 != X116 )
& ( X114 != X115 )
& ( 5 = a(X114) )
& $less(X115,X114)
& ( 5 = b(X117) )
& ( 10 = a(X115) )
& ( 2 = a(X116) )
& $less(b(X115),3)
& ( X116 != X117 )
& ( X115 != X117 )
& ( X114 != X117 ) )
& ! [X161: $int,X159: $int,X160: $int] :
~ ( ( X160 != X161 )
& ( 2 = b(X161) )
& ( X159 != X161 )
& $less(b(X159),4)
& ( 10 = a(X161) )
& $less(X161,X160)
& ( 8 = a(X159) )
& ( 2 = a(X160) )
& ( X159 != X160 ) )
& ! [X21: $int,X19: $int,X20: $int] :
~ ( ( 2 = b(X19) )
& ( X19 != X21 )
& $less(X19,X20)
& ( X19 != X20 )
& ( 12 = a(X20) )
& ( X20 != X21 )
& ( 10 = a(X19) )
& ( 4 = a(X21) )
& ( 5 = b(X20) ) )
& ! [X134: $int,X132: $int,X131: $int,X133: $int] :
~ ( ( 2 = b(X132) )
& ( X132 != X134 )
& ( X131 != X133 )
& ( X131 != X134 )
& ( X132 != X133 )
& $less(X134,X133)
& ( 5 = b(X133) )
& ( X133 != X134 )
& ( 5 = a(X131) )
& ( 7 = a(X133) )
& $less(b(X134),3)
& ( 10 = a(X134) )
& ( X131 != X132 ) )
& ! [X31: $int,X30: $int,X29: $int] :
~ ( ( X29 != X31 )
& ( X30 != X31 )
& ( 5 = b(X30) )
& ( 2 = b(X29) )
& ( 4 = a(X31) )
& ( 10 = a(X29) )
& ( 1 = a(X30) )
& ( X29 != X30 )
& $less(X29,X30) )
& ! [X126: $int,X127: $int,X125: $int] :
~ ( ( X125 != X126 )
& $less(b(X126),3)
& ( 7 = a(X127) )
& ( 5 = b(X125) )
& ( 10 = a(X126) )
& ( X126 != X127 )
& $less(X126,X127)
& ( X125 != X127 ) )
& ! [X99: $int,X97: $int,X98: $int] :
~ ( ( X97 != X98 )
& $less(b(X97),3)
& ( 10 = a(X97) )
& $less(X97,X98)
& ( X98 != X99 )
& ( 5 = a(X98) )
& ( 2 = b(X99) )
& ( 8 = a(X99) )
& ( X97 != X99 ) )
& ( z1 != z2 )
& ! [X74: $int,X77: $int,X75: $int,X76: $int] :
~ ( ( X74 != X77 )
& ( X76 != X77 )
& ( X74 != X75 )
& ( X75 != X76 )
& $less(b(X75),3)
& ( X75 != X77 )
& ( 2 = b(X74) )
& ( 4 = a(X76) )
& ( 7 = a(X74) )
& ( X74 != X76 )
& ( 5 = b(X77) )
& ( 10 = a(X75) )
& $less(X75,X76) )
& ! [X5: $int,X6: $int,X7: $int] :
~ ( ( X5 != X7 )
& ( X5 != X6 )
& ( 7 = a(X6) )
& ( 2 = b(X6) )
& ( 5 = b(X5) )
& ( 2 = a(X5) )
& ( 10 = a(X7) )
& $less(X7,X5)
& $less(b(X7),3)
& ( X6 != X7 ) )
& ! [X247: $int,X246: $int,X248: $int] :
~ ( ( 2 = b(X248) )
& ( 10 = a(X248) )
& ( X247 != X248 )
& ( 5 = b(X246) )
& $less(X248,X246)
& ( X246 != X248 )
& ( 6 = a(X246) )
& ( X246 != X247 )
& ( 4 = a(X247) ) )
& ! [X110: $int,X111: $int,X112: $int,X113: $int] :
~ ( ( 10 = a(X113) )
& ( X112 != X113 )
& ( 8 = a(X112) )
& ( X110 != X112 )
& $less(X113,X110)
& ( X110 != X111 )
& $less(b(X113),3)
& ( X110 != X113 )
& ( 5 = a(X110) )
& ( 2 = a(X111) )
& ( X111 != X112 )
& ( X111 != X113 ) )
& ! [X0: $int] :
( ~ $less(b(X0),1)
& ~ $less(5,b(X0)) )
& ! [X55: $int] :
( ~ $less(12,a(X55))
& ~ $less(a(X55),1) )
& ! [X60: $int,X59: $int,X62: $int,X61: $int] :
~ ( ( 7 = a(X61) )
& ( 2 = b(X60) )
& ( 5 = b(X62) )
& $less(X60,X59)
& ( X61 != X62 )
& ( X60 != X61 )
& ( X60 != X62 )
& ( 2 = a(X59) )
& ( X59 != X62 )
& ( X59 != X61 )
& ( X59 != X60 )
& $less(b(X61),4)
& ( 10 = a(X60) ) )
& ! [X172: $int,X173: $int,X171: $int] :
~ ( ( 3 = a(X172) )
& ( X171 != X172 )
& ( 10 = a(X171) )
& ( X171 != X173 )
& $less(b(X173),4)
& $less(b(X172),4)
& ( X172 != X173 )
& ( 8 = a(X173) )
& ( 2 = b(X171) )
& $less(X171,X172) )
& ! [X84: $int,X86: $int,X85: $int] :
~ ( ( X84 != X85 )
& ( 10 = a(X84) )
& ( 8 = a(X85) )
& ( 5 = a(X86) )
& ( X85 != X86 )
& ( X84 != X86 )
& ( 2 = b(X84) )
& $less(X84,X86) )
& ! [X153: $int,X151: $int,X152: $int,X154: $int] :
~ ( $less(b(X153),3)
& ( X151 != X152 )
& ( 2 = b(X152) )
& ( 7 = a(X152) )
& ( X151 != X153 )
& ( X152 != X154 )
& ( 5 = b(X151) )
& ( X151 != X154 )
& $less(X153,X154)
& ( X153 != X154 )
& ( 10 = a(X153) )
& ( 12 = a(X154) )
& ( X152 != X153 ) )
& ! [X143: $int,X144: $int,X142: $int] :
~ ( $less(X142,X144)
& ( 5 = b(X144) )
& ( 4 = a(X143) )
& ( X142 != X143 )
& ( X143 != X144 )
& ( 10 = a(X142) )
& ( X142 != X144 )
& ( 7 = a(X144) )
& ( 2 = b(X142) ) )
& ! [X65: $int,X63: $int,X64: $int,X66: $int] :
~ ( ( X65 != X66 )
& ( 5 = a(X63) )
& ( X63 != X64 )
& ( 10 = a(X65) )
& ( X64 != X65 )
& ( X64 != X66 )
& ( 5 = a(X66) )
& ( 2 = b(X64) )
& $less(b(X65),3)
& ( X63 != X66 )
& ( 5 = b(X63) )
& ( 2 = b(X66) )
& ( X63 != X65 )
& $less(X65,X63) )
& ! [X214: $int,X215: $int,X216: $int] :
~ ( ( X214 != X216 )
& ( X214 != X215 )
& ( 8 = a(X215) )
& ( X215 != X216 )
& ( 2 = b(X215) )
& ( 4 = a(X216) )
& ( 10 = a(X214) )
& $less(X214,X216)
& $less(b(X214),3) )
& ! [X50: $int,X49: $int,X51: $int] :
~ ( ( X50 != X51 )
& ( 5 = b(X51) )
& ( 10 = a(X49) )
& ( 6 = a(X50) )
& ( X49 != X50 )
& $less(X49,X51)
& $less(b(X49),3)
& ( 7 = a(X51) )
& ( X49 != X51 ) )
& ! [X220: $int,X217: $int,X218: $int,X219: $int] :
~ ( ( 10 = a(X217) )
& $less(b(X218),4)
& ( 3 = a(X218) )
& ( 2 = b(X217) )
& ( X217 != X220 )
& ( X217 != X219 )
& ( 5 = b(X220) )
& ( X217 != X218 )
& ( X218 != X219 )
& $less(X217,X218)
& $less(b(X219),4)
& ( X218 != X220 )
& ( 7 = a(X219) )
& ( X219 != X220 ) )
& ! [X189: $int,X187: $int,X188: $int] :
~ ( ( 12 = a(X189) )
& ( X187 != X189 )
& ( 10 = a(X188) )
& ( X188 != X189 )
& ( 7 = a(X187) )
& ( X187 != X188 )
& ( 2 = b(X187) )
& ( 5 = b(X189) )
& $less(b(X188),3)
& $less(X188,X189) )
& ( z1 != z3 )
& ! [X17: $int,X18: $int] :
~ ( ( 10 = a(X18) )
& ( 10 = a(X17) )
& ( X17 != X18 ) )
& ! [X25: $int,X28: $int,X27: $int,X26: $int] :
~ ( ( 1 = a(X25) )
& ( X26 != X28 )
& ( X26 != X27 )
& ( X25 != X27 )
& ( X25 != X28 )
& $less(X27,X25)
& ( 5 = b(X28) )
& ( X25 != X26 )
& ( 2 = b(X26) )
& ( X27 != X28 )
& ( 7 = a(X26) )
& $less(b(X27),3)
& ( 10 = a(X27) ) )
& ! [X34: $int,X32: $int,X33: $int] :
~ ( $less(X33,X34)
& ( 2 = b(X33) )
& ( X33 != X34 )
& ( 5 = b(X32) )
& ( X32 != X34 )
& ( X32 != X33 )
& ( 10 = a(X33) )
& ( 5 = a(X34) ) )
& ! [X124: $int,X122: $int,X123: $int] :
~ ( ( 5 = b(X124) )
& ( 10 = a(X122) )
& $less(X122,X124)
& ( X122 != X123 )
& ( 2 = b(X122) )
& ( 1 = a(X124) )
& ( 7 = a(X123) )
& $less(b(X123),4)
& ( X123 != X124 )
& ( X122 != X124 ) )
& ! [X43: $int,X42: $int,X45: $int,X44: $int] :
~ ( $less(X42,X45)
& ( X43 != X45 )
& ( 5 = a(X45) )
& ( 10 = a(X42) )
& ( 5 = b(X44) )
& ( X43 != X44 )
& ( X42 != X45 )
& ( X42 != X43 )
& $less(b(X42),3)
& ( 1 = a(X43) )
& ( X44 != X45 )
& ( X42 != X44 ) )
& ! [X208: $int,X209: $int,X210: $int,X207: $int] :
~ ( ( X208 != X210 )
& ( X208 != X209 )
& ( 2 = b(X209) )
& ( 8 = a(X210) )
& ( X207 != X208 )
& $less(X208,X207)
& ( X207 != X210 )
& ( 4 = a(X207) )
& $less(b(X208),3)
& ( X209 != X210 )
& ( X207 != X209 )
& ( 10 = a(X208) ) )
& ! [X135: $int,X137: $int,X138: $int,X136: $int] :
~ ( ( X137 != X138 )
& ( X135 != X137 )
& ( X136 != X138 )
& $less(X138,X137)
& ( X135 != X136 )
& ( 4 = a(X137) )
& ( 5 = b(X136) )
& $less(b(X138),3)
& ( 10 = a(X138) )
& ( X136 != X137 )
& ( 2 = b(X135) )
& ( X135 != X138 ) )
& ( z2 != z4 )
& ! [X167: $int,X165: $int,X166: $int] :
~ ( ( 2 = b(X165) )
& ( X166 != X167 )
& ( X165 != X166 )
& ( 10 = a(X165) )
& ( 7 = a(X166) )
& $less(X165,X167)
& ( 5 = b(X167) )
& $less(b(X166),4)
& ( 2 = a(X167) )
& ( X165 != X167 ) )
& ! [X95: $int,X94: $int,X96: $int,X93: $int] :
~ ( $less(X96,X93)
& ( X94 != X96 )
& ( 2 = b(X95) )
& ( X93 != X96 )
& ( X94 != X95 )
& ( X93 != X95 )
& ( 5 = a(X93) )
& ( 8 = a(X94) )
& ( X95 != X96 )
& $less(b(X96),3)
& ( X93 != X94 )
& ( 10 = a(X96) ) )
& ! [X41: $int,X39: $int,X40: $int,X38: $int] :
~ ( ( X38 != X39 )
& $less(b(X38),3)
& ( 10 = a(X38) )
& ( X38 != X41 )
& ( 6 = a(X40) )
& ( 5 = b(X41) )
& ( X38 != X40 )
& ( 2 = b(X39) )
& $less(X38,X41)
& ( 5 = a(X41) )
& ( X40 != X41 )
& ( X39 != X40 )
& ( X39 != X41 ) )
& ! [X149: $int,X150: $int,X148: $int] :
~ ( $less(b(X149),4)
& ( X149 != X150 )
& ( X148 != X149 )
& ( 2 = b(X148) )
& $less(X148,X150)
& ( 8 = a(X149) )
& ( X148 != X150 )
& ( 10 = a(X148) )
& ( 1 = a(X150) ) )
& ! [X108: $int,X107: $int,X109: $int,X106: $int] :
~ ( ( X106 != X107 )
& $less(X106,X108)
& ( 7 = a(X107) )
& ( X106 != X109 )
& ( 10 = a(X106) )
& $less(b(X107),4)
& ( X107 != X109 )
& ( 1 = a(X108) )
& ( 2 = b(X106) )
& ( X108 != X109 )
& ( X107 != X108 )
& ( 5 = b(X109) )
& ( X106 != X108 ) )
& ! [X118: $int,X119: $int,X120: $int,X121: $int] :
~ ( ( 5 = b(X119) )
& ( X119 != X120 )
& ( 2 = b(X121) )
& ( X118 != X121 )
& $less(X118,X120)
& $less(b(X118),3)
& ( X118 != X120 )
& ( X120 != X121 )
& ( 5 = a(X120) )
& ( X119 != X121 )
& ( X118 != X119 )
& ( 10 = a(X118) ) )
& ( z4 != z5 )
& ! [X197: $int,X196: $int,X198: $int] :
~ ( ( X196 != X198 )
& ( 5 = b(X197) )
& ( 7 = a(X198) )
& ( X197 != X198 )
& $less(b(X196),3)
& ( 4 = a(X197) )
& ( 2 = b(X198) )
& ( X196 != X197 )
& ( 10 = a(X196) )
& $less(X196,X197) )
& ( z2 != z3 )
& ! [X141: $int,X139: $int,X140: $int] :
~ ( ( X139 != X141 )
& ( 8 = a(X139) )
& $less(b(X141),3)
& ( 10 = a(X141) )
& ( 2 = b(X139) )
& ( 2 = a(X140) )
& ( X139 != X140 )
& ( X140 != X141 )
& $less(X141,X140) )
& ! [X130: $int,X128: $int,X129: $int] :
~ ( ( 2 = a(X130) )
& ( X128 != X129 )
& ( 6 = a(X129) )
& $less(X128,X130)
& ( X128 != X130 )
& ( X129 != X130 )
& ( 10 = a(X128) )
& ( 2 = b(X128) )
& ( 5 = b(X130) ) )
& ! [X239: $int,X238: $int,X237: $int] :
~ ( ( X237 != X238 )
& ( 6 = a(X239) )
& $less(X238,X237)
& $less(b(X238),3)
& ( 10 = a(X238) )
& ( X238 != X239 )
& ( 5 = b(X237) )
& ( X237 != X239 )
& ( 6 = a(X237) ) )
& ! [X242: $int,X241: $int,X240: $int] :
~ ( ( X240 != X242 )
& ( 5 = a(X240) )
& ( 7 = a(X241) )
& $less(X242,X240)
& ( X241 != X242 )
& ( X240 != X241 )
& ( 10 = a(X242) )
& ( 5 = b(X240) )
& ( 2 = b(X242) ) )
& ! [X185: $int,X184: $int,X186: $int] :
~ ( ( X185 != X186 )
& ( X184 != X185 )
& ( 5 = b(X184) )
& ( 6 = a(X186) )
& ( X184 != X186 )
& $less(b(X185),3)
& ( 10 = a(X185) )
& $less(X185,X186) )
& ( z1 != z4 )
& ! [X13: $int,X11: $int,X12: $int] :
~ ( ( 4 = a(X13) )
& ( 10 = a(X11) )
& ( X11 != X12 )
& ( X11 != X13 )
& ( 6 = a(X12) )
& ( 2 = b(X11) )
& $less(X11,X13)
& ( 5 = b(X13) )
& ( X12 != X13 ) )
& ! [X230: $int,X229: $int] :
~ ( ( X229 != X230 )
& $less(b(X229),3)
& ( 9 = a(X230) )
& $less(X229,X230)
& ( 10 = a(X229) ) )
& ! [X35: $int,X36: $int,X37: $int] :
~ ( ( 5 = b(X37) )
& ( 2 = b(X36) )
& ( 7 = a(X37) )
& ( X35 != X37 )
& ( X35 != X36 )
& $less(X36,X37)
& ( 5 = a(X35) )
& ( X36 != X37 )
& ( 10 = a(X36) ) )
& ! [X92: $int,X90: $int,X91: $int] :
~ ( ( 2 = a(X91) )
& $less(X90,X91)
& ( 2 = b(X90) )
& ( X90 != X91 )
& ( 5 = a(X92) )
& ( 5 = b(X91) )
& ( X91 != X92 )
& ( 10 = a(X90) )
& ( X90 != X92 ) )
& ! [X56: $int,X58: $int,X57: $int] :
~ ( ( X56 != X57 )
& ( X56 != X58 )
& ( 2 = b(X57) )
& $less(X57,X56)
& ( 4 = a(X56) )
& ( 10 = a(X57) )
& ( X57 != X58 )
& ( 5 = b(X58) ) )
& ! [X89: $int,X87: $int,X88: $int] :
~ ( ( 5 = b(X87) )
& ( 5 = a(X88) )
& ( X87 != X88 )
& ( 10 = a(X89) )
& $less(X89,X87)
& ( 1 = a(X87) )
& ( X88 != X89 )
& ( 2 = b(X89) )
& ( X87 != X89 ) )
& ! [X103: $int,X105: $int,X104: $int] :
~ ( $less(b(X105),4)
& ( 2 = b(X104) )
& ( X103 != X104 )
& ( X104 != X105 )
& ( X103 != X105 )
& ( 8 = a(X104) )
& $less(b(X103),3)
& ( 3 = a(X105) )
& ( 10 = a(X103) )
& $less(X103,X105) )
& ! [X199: $int,X200: $int,X202: $int,X201: $int] :
~ ( ( X200 != X201 )
& $less(b(X199),3)
& ( 5 = b(X202) )
& ( 10 = a(X199) )
& ( X200 != X202 )
& ( X199 != X200 )
& $less(X199,X201)
& ( 4 = a(X201) )
& ( X199 != X201 )
& ( X199 != X202 )
& ( X201 != X202 )
& ( 2 = a(X200) ) )
& ! [X177: $int,X178: $int,X179: $int] :
~ ( ( 8 = a(X179) )
& $less(X178,X177)
& ( X177 != X178 )
& ( X177 != X179 )
& ( 10 = a(X178) )
& ( X178 != X179 )
& ( 2 = b(X179) )
& ( 1 = a(X177) )
& $less(b(X178),3) )
& ! [X191: $int,X190: $int,X192: $int] :
~ ( ( X190 != X191 )
& ( X190 != X192 )
& ( 10 = a(X192) )
& ( 4 = a(X191) )
& ( 5 = b(X190) )
& ( 2 = b(X192) )
& ( X191 != X192 )
& ( 4 = a(X190) )
& $less(X192,X190) )
& ! [X250: $int,X251: $int,X249: $int] :
~ ( ( 2 = b(X251) )
& ( X249 != X250 )
& $less(b(X250),4)
& ( 12 = a(X249) )
& ( 8 = a(X250) )
& ( X249 != X251 )
& ( X250 != X251 )
& $less(X251,X249)
& ( 10 = a(X251) ) )
& ! [X100: $int,X102: $int,X101: $int] :
~ ( ( 4 = a(X102) )
& ( 5 = b(X101) )
& ( 10 = a(X100) )
& ( X101 != X102 )
& ( 2 = a(X101) )
& ( X100 != X102 )
& ( X100 != X101 )
& ( 2 = b(X100) )
& $less(X100,X101) )
& ! [X211: $int,X212: $int,X213: $int] :
~ ( ( X211 != X213 )
& ( X212 != X213 )
& ( 4 = a(X211) )
& ( 10 = a(X212) )
& ( 5 = b(X213) )
& ( X211 != X212 )
& $less(X212,X213)
& ( 5 = a(X213) )
& ( 2 = b(X212) ) )
& ! [X23: $int,X24: $int,X22: $int] :
~ ( ( 7 = a(X22) )
& $less(X24,X23)
& $less(b(X24),3)
& ( 10 = a(X24) )
& ( X22 != X23 )
& ( 6 = a(X23) )
& ( X22 != X24 )
& ( 5 = b(X23) )
& ( X23 != X24 ) )
& ! [X183: $int,X181: $int,X182: $int,X180: $int] :
~ ( ( 6 = a(X181) )
& ( 5 = a(X182) )
& ( X180 != X182 )
& $less(b(X180),3)
& ( X180 != X181 )
& ( X182 != X183 )
& ( 5 = b(X181) )
& ( X181 != X183 )
& $less(X180,X181)
& ( X181 != X182 )
& ( 2 = b(X183) )
& ( X180 != X183 )
& ( 10 = a(X180) ) )
& ! [X235: $int,X234: $int,X236: $int] :
~ ( ( X234 != X235 )
& ( 5 = b(X235) )
& ( X234 != X236 )
& ( 2 = b(X234) )
& ( 6 = a(X236) )
& ( X235 != X236 )
& $less(X234,X235)
& ( 5 = a(X235) )
& ( 10 = a(X234) ) )
& ! [X232: $int,X233: $int,X231: $int] :
~ ( ( X232 != X233 )
& ( X231 != X233 )
& ( 2 = b(X233) )
& ( X231 != X232 )
& ( 5 = b(X232) )
& $less(X233,X232)
& ( 5 = a(X232) )
& ( 5 = a(X231) )
& ( 10 = a(X233) ) )
& ! [X203: $int,X204: $int,X205: $int,X206: $int] :
~ ( $less(X205,X203)
& ( 2 = b(X205) )
& ( 10 = a(X205) )
& ( 5 = b(X204) )
& ( X204 != X205 )
& ( X203 != X206 )
& ( 7 = a(X206) )
& ( X203 != X204 )
& ( X205 != X206 )
& $less(b(X206),4)
& ( 12 = a(X203) )
& ( X204 != X206 )
& ( X203 != X205 ) )
& ! [X176: $int,X175: $int,X174: $int] :
~ ( $less(X175,X176)
& ( X174 != X176 )
& ( X175 != X176 )
& $less(b(X175),3)
& ( X174 != X175 )
& ( 2 = b(X174) )
& ( 6 = a(X174) )
& ( 10 = a(X175) )
& ( 5 = a(X176) )
& ( 5 = b(X176) ) )
& ( z3 != z5 )
& ! [X157: $int,X158: $int,X155: $int,X156: $int] :
~ ( ( X157 != X158 )
& ( X155 != X158 )
& ( 7 = a(X155) )
& $less(b(X156),3)
& ( X156 != X158 )
& ( X155 != X156 )
& ( 2 = b(X155) )
& ( 10 = a(X156) )
& ( 3 = a(X157) )
& $less(b(X157),4)
& ( X155 != X157 )
& ( X156 != X157 )
& $less(X156,X157)
& ( 5 = b(X158) ) )
& ! [X69: $int,X67: $int,X68: $int] :
~ ( ( 10 = a(X67) )
& ( 12 = a(X68) )
& $less(X67,X68)
& ( 7 = a(X69) )
& ( 2 = b(X67) )
& ( X67 != X69 )
& ( X68 != X69 )
& $less(b(X69),4)
& ( 5 = b(X68) )
& ( X67 != X68 ) )
& ! [X73: $int,X70: $int,X71: $int,X72: $int] :
~ ( ( X72 != X73 )
& ( X70 != X73 )
& ( 2 = b(X73) )
& ( 5 = a(X71) )
& ( X71 != X73 )
& ( 5 = b(X71) )
& $less(b(X72),3)
& ( 7 = a(X70) )
& ( X71 != X72 )
& $less(X72,X71)
& ( X70 != X71 )
& ( 10 = a(X72) )
& ( X70 != X72 ) )
& ! [X53: $int,X52: $int,X54: $int] :
~ ( ( 10 = a(X52) )
& ( X53 != X54 )
& ( X52 != X54 )
& $less(X52,X53)
& ( 5 = b(X53) )
& ( 2 = b(X54) )
& $less(b(X52),3)
& ( 5 = a(X53) )
& ( X52 != X53 )
& ( 7 = a(X54) ) )
& ( z1 != z5 )
& ! [X163: $int,X164: $int,X162: $int] :
~ ( ( 10 = a(X163) )
& ( X162 != X163 )
& ( X162 != X164 )
& ( 12 = a(X162) )
& ( 8 = a(X164) )
& ( 2 = b(X164) )
& ( X163 != X164 )
& $less(b(X163),3)
& $less(X163,X162) ) )
=> ~ ( ( a(z1) = 5 )
& $less(b(z2),3)
& ( a(z2) = 10 )
& ( a(z3) = 5 )
& ( a(z4) = 2 )
& ( b(z1) = 2 )
& $less(z2,z1)
& ( b(z3) = 5 ) ) ),
inference(true_and_false_elimination,[],[f4]) ).
tff(f6,plain,
( ( a(z1) = 5 )
& $less(b(z2),3)
& ( a(z2) = 10 )
& ( a(z3) = 5 )
& ( a(z4) = 2 )
& ( b(z1) = 2 )
& $less(z2,z1)
& ( b(z3) = 5 )
& ! [X46: $int,X48: $int,X47: $int] :
( ( 5 != a(X46) )
| ( 12 != a(X48) )
| ( X46 = X47 )
| ( X47 = X48 )
| ( 2 != b(X47) )
| ~ $less(X47,X48)
| ( X46 = X48 )
| ( 10 != a(X47) )
| ( 5 != b(X48) ) )
& ! [X221: $int,X222: $int] :
( ~ $less(b(X221),3)
| ( X221 = X222 )
| ( 8 != a(X222) )
| ~ $less(X221,X222)
| ( 10 != a(X221) ) )
& ! [X83: $int,X82: $int,X81: $int] :
( ~ $less(X82,X83)
| ( 10 != a(X82) )
| ~ $less(b(X82),3)
| ( X81 = X82 )
| ( 8 != a(X81) )
| ( X82 = X83 )
| ( 6 != a(X83) )
| ( X81 = X83 ) )
& ! [X10: $int,X8: $int,X9: $int] :
( ( 10 != a(X10) )
| ( X9 = X10 )
| ( 5 != b(X8) )
| ( X8 = X10 )
| ( 2 != b(X10) )
| ~ $less(X10,X8)
| ( 6 != a(X9) )
| ( X8 = X9 )
| ( 12 != a(X8) ) )
& ! [X193: $int,X194: $int,X195: $int] :
( ~ $less(X195,X194)
| ( 5 != b(X194) )
| ( 5 != a(X193) )
| ( X193 = X195 )
| ( X193 = X194 )
| ( X194 = X195 )
| ( 10 != a(X195) )
| ( 2 != b(X195) )
| ( 6 != a(X194) ) )
& ! [X145: $int,X146: $int,X147: $int] :
( ( X145 = X146 )
| ( 2 != b(X145) )
| ( 7 != a(X146) )
| ( X146 = X147 )
| ( 5 != b(X147) )
| ( 4 != a(X147) )
| ( X145 = X147 )
| ( 10 != a(X145) )
| ~ $less(X145,X147) )
& ! [X169: $int,X168: $int,X170: $int] :
( ( 6 != a(X170) )
| ( X169 = X170 )
| ( 5 != b(X168) )
| ~ $less(X169,X168)
| ( 2 != b(X169) )
| ( X168 = X170 )
| ( 1 != a(X168) )
| ( X168 = X169 )
| ( 10 != a(X169) ) )
& ! [X3: $int,X2: $int,X1: $int,X4: $int] :
( ( X2 = X4 )
| ( 2 != a(X4) )
| ( X1 = X4 )
| ~ $less(X3,X4)
| ( X1 = X3 )
| ( b(X1) != 2 )
| ( a(X1) != 7 )
| ( X1 = X2 )
| ( 5 != b(X2) )
| ( X3 = X4 )
| ~ $less(b(X3),3)
| ( 10 != a(X3) )
| ( X2 = X3 ) )
& ! [X79: $int,X80: $int,X78: $int] :
( ( 10 != a(X80) )
| ( X79 = X80 )
| ( 7 != a(X79) )
| ( 5 != b(X78) )
| ~ $less(X80,X78)
| ( X78 = X79 )
| ~ $less(b(X80),3)
| ( 7 != a(X78) )
| ( X78 = X80 ) )
& ! [X228: $int,X227: $int,X226: $int] :
( ( 10 != a(X227) )
| ( X227 = X228 )
| ( X226 = X228 )
| ( 2 != b(X227) )
| ~ $less(X227,X226)
| ( X226 = X227 )
| ( 4 != a(X226) )
| ( 8 != a(X228) ) )
& ! [X245: $int,X243: $int,X244: $int] :
( ( X243 = X244 )
| ( 10 != a(X244) )
| ( X243 = X245 )
| ( 1 != a(X245) )
| ( 2 != b(X243) )
| ( X244 = X245 )
| ~ $less(b(X244),3)
| ( 5 != b(X245) )
| ( 7 != a(X243) )
| ~ $less(X244,X245) )
& ! [X223: $int,X224: $int,X225: $int] :
( ~ $less(b(X224),3)
| ( 10 != a(X224) )
| ( X224 = X225 )
| ~ $less(X224,X225)
| ( 7 != a(X225) )
| ( 8 != a(X223) )
| ( X223 = X225 )
| ( X223 = X224 ) )
& ! [X16: $int,X14: $int,X15: $int] :
( ( 10 != a(X16) )
| ( 5 != a(X14) )
| ( X14 = X15 )
| ( 2 != b(X16) )
| ( X15 = X16 )
| ( X14 = X16 )
| ~ $less(X16,X15)
| ( 5 != b(X15) )
| ( 4 != a(X15) ) )
& ( z2 != z5 )
& ( z3 != z4 )
& ! [X116: $int,X117: $int,X114: $int,X115: $int] :
( ~ $less(X115,X114)
| ( X116 = X117 )
| ( 5 != b(X117) )
| ( X115 = X117 )
| ( 5 != a(X114) )
| ( X114 = X116 )
| ( X114 = X115 )
| ( 2 != a(X116) )
| ( X114 = X117 )
| ( 10 != a(X115) )
| ~ $less(b(X115),3)
| ( X115 = X116 ) )
& ! [X159: $int,X161: $int,X160: $int] :
( ( 10 != a(X161) )
| ( 2 != b(X161) )
| ( X159 = X160 )
| ( 2 != a(X160) )
| ~ $less(X161,X160)
| ( 8 != a(X159) )
| ~ $less(b(X159),4)
| ( X159 = X161 )
| ( X160 = X161 ) )
& ! [X21: $int,X20: $int,X19: $int] :
( ( 5 != b(X20) )
| ( 4 != a(X21) )
| ( X20 = X21 )
| ( X19 = X21 )
| ( 2 != b(X19) )
| ~ $less(X19,X20)
| ( 12 != a(X20) )
| ( 10 != a(X19) )
| ( X19 = X20 ) )
& ! [X133: $int,X134: $int,X131: $int,X132: $int] :
( ( X132 = X133 )
| ( 2 != b(X132) )
| ~ $less(b(X134),3)
| ( 5 != b(X133) )
| ( X132 = X134 )
| ( X131 = X133 )
| ( 5 != a(X131) )
| ( 7 != a(X133) )
| ~ $less(X134,X133)
| ( X131 = X134 )
| ( X133 = X134 )
| ( 10 != a(X134) )
| ( X131 = X132 ) )
& ! [X31: $int,X29: $int,X30: $int] :
( ( 2 != b(X29) )
| ~ $less(X29,X30)
| ( 1 != a(X30) )
| ( 10 != a(X29) )
| ( X29 = X31 )
| ( 5 != b(X30) )
| ( X30 = X31 )
| ( 4 != a(X31) )
| ( X29 = X30 ) )
& ! [X125: $int,X127: $int,X126: $int] :
( ( X126 = X127 )
| ~ $less(b(X126),3)
| ( X125 = X126 )
| ( X125 = X127 )
| ( 10 != a(X126) )
| ( 7 != a(X127) )
| ( 5 != b(X125) )
| ~ $less(X126,X127) )
& ! [X98: $int,X97: $int,X99: $int] :
( ~ $less(X97,X98)
| ( 2 != b(X99) )
| ( X98 = X99 )
| ( 8 != a(X99) )
| ( X97 = X98 )
| ~ $less(b(X97),3)
| ( 5 != a(X98) )
| ( X97 = X99 )
| ( 10 != a(X97) ) )
& ( z1 != z2 )
& ! [X74: $int,X77: $int,X76: $int,X75: $int] :
( ( X75 = X76 )
| ( X76 = X77 )
| ( X74 = X77 )
| ( X75 = X77 )
| ( 5 != b(X77) )
| ( X74 = X76 )
| ( 2 != b(X74) )
| ( 4 != a(X76) )
| ~ $less(b(X75),3)
| ( 10 != a(X75) )
| ~ $less(X75,X76)
| ( 7 != a(X74) )
| ( X74 = X75 ) )
& ! [X6: $int,X7: $int,X5: $int] :
( ( X5 = X7 )
| ( 2 != a(X5) )
| ( X5 = X6 )
| ~ $less(X7,X5)
| ( 5 != b(X5) )
| ( X6 = X7 )
| ( 2 != b(X6) )
| ( 7 != a(X6) )
| ( 10 != a(X7) )
| ~ $less(b(X7),3) )
& ! [X248: $int,X247: $int,X246: $int] :
( ( 10 != a(X248) )
| ( X246 = X247 )
| ( X246 = X248 )
| ( 5 != b(X246) )
| ( 2 != b(X248) )
| ~ $less(X248,X246)
| ( 6 != a(X246) )
| ( X247 = X248 )
| ( 4 != a(X247) ) )
& ! [X112: $int,X110: $int,X113: $int,X111: $int] :
( ( X111 = X113 )
| ( X110 = X113 )
| ( 5 != a(X110) )
| ~ $less(X113,X110)
| ( X110 = X112 )
| ( X110 = X111 )
| ( 8 != a(X112) )
| ( 10 != a(X113) )
| ( 2 != a(X111) )
| ~ $less(b(X113),3)
| ( X111 = X112 )
| ( X112 = X113 ) )
& ! [X0: $int] :
( ~ $less(b(X0),1)
& ~ $less(5,b(X0)) )
& ! [X55: $int] :
( ~ $less(12,a(X55))
& ~ $less(a(X55),1) )
& ! [X59: $int,X60: $int,X61: $int,X62: $int] :
( ( 2 != a(X59) )
| ( 7 != a(X61) )
| ( 5 != b(X62) )
| ( X60 = X61 )
| ( X61 = X62 )
| ~ $less(b(X61),4)
| ( 10 != a(X60) )
| ~ $less(X60,X59)
| ( X60 = X62 )
| ( 2 != b(X60) )
| ( X59 = X62 )
| ( X59 = X60 )
| ( X59 = X61 ) )
& ! [X172: $int,X171: $int,X173: $int] :
( ~ $less(b(X173),4)
| ~ $less(b(X172),4)
| ( 2 != b(X171) )
| ( X171 = X172 )
| ( 10 != a(X171) )
| ~ $less(X171,X172)
| ( 3 != a(X172) )
| ( X171 = X173 )
| ( 8 != a(X173) )
| ( X172 = X173 ) )
& ! [X86: $int,X84: $int,X85: $int] :
( ( 8 != a(X85) )
| ( 5 != a(X86) )
| ( X84 = X86 )
| ( 10 != a(X84) )
| ( X85 = X86 )
| ( 2 != b(X84) )
| ( X84 = X85 )
| ~ $less(X84,X86) )
& ! [X154: $int,X151: $int,X152: $int,X153: $int] :
( ( 2 != b(X152) )
| ( X151 = X154 )
| ( X152 = X153 )
| ( X151 = X152 )
| ( X152 = X154 )
| ( X151 = X153 )
| ( 5 != b(X151) )
| ( 12 != a(X154) )
| ~ $less(b(X153),3)
| ~ $less(X153,X154)
| ( 7 != a(X152) )
| ( 10 != a(X153) )
| ( X153 = X154 ) )
& ! [X144: $int,X143: $int,X142: $int] :
( ~ $less(X142,X144)
| ( X142 = X143 )
| ( X143 = X144 )
| ( 7 != a(X144) )
| ( 4 != a(X143) )
| ( 2 != b(X142) )
| ( 5 != b(X144) )
| ( 10 != a(X142) )
| ( X142 = X144 ) )
& ! [X65: $int,X63: $int,X66: $int,X64: $int] :
( ( X63 = X65 )
| ( X63 = X66 )
| ( 5 != a(X66) )
| ( 2 != b(X66) )
| ~ $less(b(X65),3)
| ( X65 = X66 )
| ( 5 != a(X63) )
| ( X64 = X66 )
| ( X64 = X65 )
| ( 2 != b(X64) )
| ( 10 != a(X65) )
| ( X63 = X64 )
| ( 5 != b(X63) )
| ~ $less(X65,X63) )
& ! [X216: $int,X214: $int,X215: $int] :
( ~ $less(b(X214),3)
| ( 8 != a(X215) )
| ( X215 = X216 )
| ( 10 != a(X214) )
| ( X214 = X216 )
| ( 2 != b(X215) )
| ~ $less(X214,X216)
| ( 4 != a(X216) )
| ( X214 = X215 ) )
& ! [X50: $int,X51: $int,X49: $int] :
( ( 5 != b(X51) )
| ~ $less(b(X49),3)
| ( 6 != a(X50) )
| ( X49 = X50 )
| ( 10 != a(X49) )
| ( X50 = X51 )
| ~ $less(X49,X51)
| ( X49 = X51 )
| ( 7 != a(X51) ) )
& ! [X219: $int,X218: $int,X217: $int,X220: $int] :
( ( X218 = X219 )
| ( 7 != a(X219) )
| ~ $less(b(X219),4)
| ( X217 = X218 )
| ( X217 = X219 )
| ( 5 != b(X220) )
| ~ $less(X217,X218)
| ( 2 != b(X217) )
| ( X219 = X220 )
| ( 10 != a(X217) )
| ( X217 = X220 )
| ~ $less(b(X218),4)
| ( 3 != a(X218) )
| ( X218 = X220 ) )
& ! [X188: $int,X187: $int,X189: $int] :
( ( 2 != b(X187) )
| ( X187 = X189 )
| ( 10 != a(X188) )
| ( 7 != a(X187) )
| ( X187 = X188 )
| ( 5 != b(X189) )
| ~ $less(b(X188),3)
| ~ $less(X188,X189)
| ( X188 = X189 )
| ( 12 != a(X189) ) )
& ( z1 != z3 )
& ! [X17: $int,X18: $int] :
( ( X17 = X18 )
| ( 10 != a(X18) )
| ( 10 != a(X17) ) )
& ! [X27: $int,X25: $int,X28: $int,X26: $int] :
( ~ $less(X27,X25)
| ( 7 != a(X26) )
| ( X25 = X28 )
| ( X25 = X26 )
| ( X25 = X27 )
| ( 10 != a(X27) )
| ( 5 != b(X28) )
| ( X26 = X28 )
| ~ $less(b(X27),3)
| ( 2 != b(X26) )
| ( X27 = X28 )
| ( X26 = X27 )
| ( 1 != a(X25) ) )
& ! [X33: $int,X34: $int,X32: $int] :
( ( 5 != a(X34) )
| ( X33 = X34 )
| ( X32 = X34 )
| ( 2 != b(X33) )
| ( 10 != a(X33) )
| ( 5 != b(X32) )
| ~ $less(X33,X34)
| ( X32 = X33 ) )
& ! [X123: $int,X124: $int,X122: $int] :
( ~ $less(b(X123),4)
| ( X122 = X123 )
| ( 5 != b(X124) )
| ( 1 != a(X124) )
| ( 10 != a(X122) )
| ( X122 = X124 )
| ~ $less(X122,X124)
| ( 7 != a(X123) )
| ( X123 = X124 )
| ( 2 != b(X122) ) )
& ! [X44: $int,X42: $int,X43: $int,X45: $int] :
( ~ $less(X42,X45)
| ( X43 = X44 )
| ( 1 != a(X43) )
| ( X42 = X43 )
| ( 5 != a(X45) )
| ~ $less(b(X42),3)
| ( X43 = X45 )
| ( X42 = X44 )
| ( 10 != a(X42) )
| ( 5 != b(X44) )
| ( X42 = X45 )
| ( X44 = X45 ) )
& ! [X207: $int,X210: $int,X209: $int,X208: $int] :
( ( 10 != a(X208) )
| ( X209 = X210 )
| ( 8 != a(X210) )
| ( X208 = X209 )
| ( X208 = X210 )
| ( 2 != b(X209) )
| ~ $less(X208,X207)
| ( X207 = X208 )
| ( X207 = X209 )
| ( X207 = X210 )
| ~ $less(b(X208),3)
| ( 4 != a(X207) ) )
& ! [X136: $int,X135: $int,X138: $int,X137: $int] :
( ~ $less(b(X138),3)
| ( 2 != b(X135) )
| ( 5 != b(X136) )
| ( X135 = X138 )
| ( 10 != a(X138) )
| ( 4 != a(X137) )
| ( X136 = X137 )
| ( X136 = X138 )
| ( X135 = X137 )
| ~ $less(X138,X137)
| ( X135 = X136 )
| ( X137 = X138 ) )
& ( z2 != z4 )
& ! [X167: $int,X166: $int,X165: $int] :
( ( 2 != b(X165) )
| ( X165 = X166 )
| ( 2 != a(X167) )
| ~ $less(X165,X167)
| ~ $less(b(X166),4)
| ( 7 != a(X166) )
| ( X166 = X167 )
| ( 10 != a(X165) )
| ( X165 = X167 )
| ( 5 != b(X167) ) )
& ! [X95: $int,X96: $int,X93: $int,X94: $int] :
( ( X95 = X96 )
| ( X93 = X95 )
| ( 8 != a(X94) )
| ( X93 = X94 )
| ( X94 = X96 )
| ~ $less(X96,X93)
| ( 10 != a(X96) )
| ( X94 = X95 )
| ~ $less(b(X96),3)
| ( 5 != a(X93) )
| ( X93 = X96 )
| ( 2 != b(X95) ) )
& ! [X41: $int,X40: $int,X39: $int,X38: $int] :
( ( 6 != a(X40) )
| ( X39 = X41 )
| ( X39 = X40 )
| ( 5 != a(X41) )
| ( X38 = X41 )
| ( 5 != b(X41) )
| ( 2 != b(X39) )
| ( X38 = X40 )
| ( X38 = X39 )
| ~ $less(X38,X41)
| ( X40 = X41 )
| ( 10 != a(X38) )
| ~ $less(b(X38),3) )
& ! [X150: $int,X149: $int,X148: $int] :
( ~ $less(b(X149),4)
| ( 8 != a(X149) )
| ( 1 != a(X150) )
| ( X148 = X149 )
| ( X148 = X150 )
| ( 10 != a(X148) )
| ( 2 != b(X148) )
| ( X149 = X150 )
| ~ $less(X148,X150) )
& ! [X108: $int,X106: $int,X107: $int,X109: $int] :
( ( X106 = X107 )
| ( X108 = X109 )
| ( X107 = X108 )
| ~ $less(X106,X108)
| ( 5 != b(X109) )
| ( 2 != b(X106) )
| ( X106 = X108 )
| ( 1 != a(X108) )
| ~ $less(b(X107),4)
| ( X106 = X109 )
| ( 7 != a(X107) )
| ( X107 = X109 )
| ( 10 != a(X106) ) )
& ! [X118: $int,X121: $int,X119: $int,X120: $int] :
( ( X119 = X120 )
| ( 10 != a(X118) )
| ( 5 != a(X120) )
| ~ $less(X118,X120)
| ( X118 = X119 )
| ( X118 = X120 )
| ( X120 = X121 )
| ( X119 = X121 )
| ( 2 != b(X121) )
| ( 5 != b(X119) )
| ~ $less(b(X118),3)
| ( X118 = X121 ) )
& ( z4 != z5 )
& ! [X196: $int,X198: $int,X197: $int] :
( ( X196 = X197 )
| ~ $less(X196,X197)
| ( X196 = X198 )
| ( 7 != a(X198) )
| ~ $less(b(X196),3)
| ( 5 != b(X197) )
| ( 4 != a(X197) )
| ( 10 != a(X196) )
| ( X197 = X198 )
| ( 2 != b(X198) ) )
& ( z2 != z3 )
& ! [X139: $int,X141: $int,X140: $int] :
( ~ $less(b(X141),3)
| ( 8 != a(X139) )
| ~ $less(X141,X140)
| ( 2 != b(X139) )
| ( X140 = X141 )
| ( 2 != a(X140) )
| ( X139 = X141 )
| ( 10 != a(X141) )
| ( X139 = X140 ) )
& ! [X130: $int,X129: $int,X128: $int] :
( ( X129 = X130 )
| ( 5 != b(X130) )
| ~ $less(X128,X130)
| ( 2 != b(X128) )
| ( X128 = X129 )
| ( X128 = X130 )
| ( 2 != a(X130) )
| ( 6 != a(X129) )
| ( 10 != a(X128) ) )
& ! [X237: $int,X238: $int,X239: $int] :
( ( X237 = X239 )
| ( 10 != a(X238) )
| ( X237 = X238 )
| ~ $less(b(X238),3)
| ~ $less(X238,X237)
| ( 5 != b(X237) )
| ( 6 != a(X237) )
| ( X238 = X239 )
| ( 6 != a(X239) ) )
& ! [X240: $int,X242: $int,X241: $int] :
( ( X240 = X242 )
| ( 5 != b(X240) )
| ( 2 != b(X242) )
| ( 5 != a(X240) )
| ( 7 != a(X241) )
| ~ $less(X242,X240)
| ( 10 != a(X242) )
| ( X240 = X241 )
| ( X241 = X242 ) )
& ! [X184: $int,X186: $int,X185: $int] :
( ( X184 = X185 )
| ( 6 != a(X186) )
| ( X184 = X186 )
| ( X185 = X186 )
| ( 5 != b(X184) )
| ~ $less(b(X185),3)
| ~ $less(X185,X186)
| ( 10 != a(X185) ) )
& ( z1 != z4 )
& ! [X12: $int,X11: $int,X13: $int] :
( ( 6 != a(X12) )
| ( X11 = X13 )
| ( 5 != b(X13) )
| ( 4 != a(X13) )
| ( 10 != a(X11) )
| ~ $less(X11,X13)
| ( 2 != b(X11) )
| ( X12 = X13 )
| ( X11 = X12 ) )
& ! [X230: $int,X229: $int] :
( ~ $less(X229,X230)
| ( X229 = X230 )
| ( 9 != a(X230) )
| ( 10 != a(X229) )
| ~ $less(b(X229),3) )
& ! [X35: $int,X36: $int,X37: $int] :
( ( 5 != a(X35) )
| ( 5 != b(X37) )
| ( X35 = X36 )
| ( X36 = X37 )
| ( X35 = X37 )
| ~ $less(X36,X37)
| ( 2 != b(X36) )
| ( 10 != a(X36) )
| ( 7 != a(X37) ) )
& ! [X91: $int,X92: $int,X90: $int] :
( ~ $less(X90,X91)
| ( 10 != a(X90) )
| ( X90 = X91 )
| ( X91 = X92 )
| ( 5 != b(X91) )
| ( 5 != a(X92) )
| ( X90 = X92 )
| ( 2 != a(X91) )
| ( 2 != b(X90) ) )
& ! [X56: $int,X58: $int,X57: $int] :
( ( 10 != a(X57) )
| ( X56 = X57 )
| ( X57 = X58 )
| ( 5 != b(X58) )
| ( 2 != b(X57) )
| ( 4 != a(X56) )
| ~ $less(X57,X56)
| ( X56 = X58 ) )
& ! [X89: $int,X87: $int,X88: $int] :
( ~ $less(X89,X87)
| ( X87 = X89 )
| ( 10 != a(X89) )
| ( 2 != b(X89) )
| ( X87 = X88 )
| ( 5 != a(X88) )
| ( 1 != a(X87) )
| ( 5 != b(X87) )
| ( X88 = X89 ) )
& ! [X104: $int,X103: $int,X105: $int] :
( ( X103 = X105 )
| ~ $less(X103,X105)
| ( 8 != a(X104) )
| ( 2 != b(X104) )
| ( X103 = X104 )
| ( 3 != a(X105) )
| ( X104 = X105 )
| ( 10 != a(X103) )
| ~ $less(b(X105),4)
| ~ $less(b(X103),3) )
& ! [X199: $int,X202: $int,X201: $int,X200: $int] :
( ( X200 = X201 )
| ( X199 = X202 )
| ( X199 = X200 )
| ( X201 = X202 )
| ~ $less(X199,X201)
| ( X200 = X202 )
| ( 2 != a(X200) )
| ( X199 = X201 )
| ( 5 != b(X202) )
| ~ $less(b(X199),3)
| ( 10 != a(X199) )
| ( 4 != a(X201) ) )
& ! [X178: $int,X177: $int,X179: $int] :
( ( 2 != b(X179) )
| ( 10 != a(X178) )
| ~ $less(b(X178),3)
| ( 8 != a(X179) )
| ( X177 = X179 )
| ( X178 = X179 )
| ~ $less(X178,X177)
| ( 1 != a(X177) )
| ( X177 = X178 ) )
& ! [X190: $int,X192: $int,X191: $int] :
( ( 2 != b(X192) )
| ( X190 = X191 )
| ( 5 != b(X190) )
| ( 4 != a(X191) )
| ( 4 != a(X190) )
| ( X191 = X192 )
| ( X190 = X192 )
| ~ $less(X192,X190)
| ( 10 != a(X192) ) )
& ! [X251: $int,X249: $int,X250: $int] :
( ~ $less(X251,X249)
| ( X249 = X251 )
| ( X250 = X251 )
| ( X249 = X250 )
| ( 12 != a(X249) )
| ( 8 != a(X250) )
| ( 2 != b(X251) )
| ~ $less(b(X250),4)
| ( 10 != a(X251) ) )
& ! [X102: $int,X100: $int,X101: $int] :
( ( 2 != a(X101) )
| ( 10 != a(X100) )
| ( 2 != b(X100) )
| ~ $less(X100,X101)
| ( 4 != a(X102) )
| ( X100 = X102 )
| ( X100 = X101 )
| ( X101 = X102 )
| ( 5 != b(X101) ) )
& ! [X213: $int,X212: $int,X211: $int] :
( ( 10 != a(X212) )
| ( X211 = X213 )
| ( 4 != a(X211) )
| ~ $less(X212,X213)
| ( 2 != b(X212) )
| ( X211 = X212 )
| ( 5 != a(X213) )
| ( 5 != b(X213) )
| ( X212 = X213 ) )
& ! [X23: $int,X22: $int,X24: $int] :
( ( 5 != b(X23) )
| ( X22 = X24 )
| ( 6 != a(X23) )
| ( 7 != a(X22) )
| ( 10 != a(X24) )
| ~ $less(b(X24),3)
| ~ $less(X24,X23)
| ( X22 = X23 )
| ( X23 = X24 ) )
& ! [X180: $int,X182: $int,X181: $int,X183: $int] :
( ( 6 != a(X181) )
| ( 2 != b(X183) )
| ( 10 != a(X180) )
| ~ $less(X180,X181)
| ( 5 != a(X182) )
| ( X180 = X181 )
| ( X180 = X182 )
| ( X181 = X183 )
| ( X181 = X182 )
| ( X180 = X183 )
| ( 5 != b(X181) )
| ( X182 = X183 )
| ~ $less(b(X180),3) )
& ! [X234: $int,X236: $int,X235: $int] :
( ( X234 = X236 )
| ( 6 != a(X236) )
| ( X235 = X236 )
| ( 5 != a(X235) )
| ~ $less(X234,X235)
| ( 5 != b(X235) )
| ( 10 != a(X234) )
| ( 2 != b(X234) )
| ( X234 = X235 ) )
& ! [X232: $int,X231: $int,X233: $int] :
( ( X231 = X232 )
| ( X232 = X233 )
| ( 5 != a(X232) )
| ( X231 = X233 )
| ( 2 != b(X233) )
| ~ $less(X233,X232)
| ( 10 != a(X233) )
| ( 5 != a(X231) )
| ( 5 != b(X232) ) )
& ! [X203: $int,X206: $int,X205: $int,X204: $int] :
( ( X203 = X206 )
| ( 12 != a(X203) )
| ( 10 != a(X205) )
| ( 2 != b(X205) )
| ( X203 = X205 )
| ~ $less(X205,X203)
| ( 7 != a(X206) )
| ( X203 = X204 )
| ( X204 = X205 )
| ~ $less(b(X206),4)
| ( X204 = X206 )
| ( 5 != b(X204) )
| ( X205 = X206 ) )
& ! [X176: $int,X174: $int,X175: $int] :
( ( X174 = X176 )
| ( 6 != a(X174) )
| ( 5 != b(X176) )
| ( 10 != a(X175) )
| ~ $less(X175,X176)
| ( X175 = X176 )
| ~ $less(b(X175),3)
| ( X174 = X175 )
| ( 2 != b(X174) )
| ( 5 != a(X176) ) )
& ( z3 != z5 )
& ! [X157: $int,X158: $int,X156: $int,X155: $int] :
( ( 2 != b(X155) )
| ( 10 != a(X156) )
| ( X155 = X156 )
| ( X156 = X158 )
| ( 3 != a(X157) )
| ( X156 = X157 )
| ( 5 != b(X158) )
| ~ $less(b(X157),4)
| ( X155 = X158 )
| ~ $less(b(X156),3)
| ~ $less(X156,X157)
| ( X157 = X158 )
| ( 7 != a(X155) )
| ( X155 = X157 ) )
& ! [X69: $int,X67: $int,X68: $int] :
( ( 10 != a(X67) )
| ( 2 != b(X67) )
| ( 7 != a(X69) )
| ( 12 != a(X68) )
| ~ $less(X67,X68)
| ( X67 = X68 )
| ( X67 = X69 )
| ( X68 = X69 )
| ~ $less(b(X69),4)
| ( 5 != b(X68) ) )
& ! [X73: $int,X72: $int,X70: $int,X71: $int] :
( ~ $less(X72,X71)
| ( X70 = X71 )
| ( 2 != b(X73) )
| ( X70 = X72 )
| ( 10 != a(X72) )
| ( X71 = X73 )
| ( 7 != a(X70) )
| ( 5 != a(X71) )
| ~ $less(b(X72),3)
| ( 5 != b(X71) )
| ( X72 = X73 )
| ( X71 = X72 )
| ( X70 = X73 ) )
& ! [X53: $int,X54: $int,X52: $int] :
( ( 7 != a(X54) )
| ~ $less(X52,X53)
| ( X53 = X54 )
| ( 10 != a(X52) )
| ( X52 = X53 )
| ( X52 = X54 )
| ( 2 != b(X54) )
| ( 5 != b(X53) )
| ~ $less(b(X52),3)
| ( 5 != a(X53) ) )
& ( z1 != z5 )
& ! [X162: $int,X164: $int,X163: $int] :
( ( 10 != a(X163) )
| ( X162 = X164 )
| ( X163 = X164 )
| ( 8 != a(X164) )
| ( 12 != a(X162) )
| ( 2 != b(X164) )
| ~ $less(b(X163),3)
| ( X162 = X163 )
| ~ $less(X163,X162) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f7,plain,
( ! [X10: $int,X8: $int,X9: $int] :
( ( 10 != a(X10) )
| ( X9 = X10 )
| ( 5 != b(X8) )
| ( X8 = X10 )
| ( 2 != b(X10) )
| ~ $less(X10,X8)
| ( 6 != a(X9) )
| ( X8 = X9 )
| ( 12 != a(X8) ) )
& ( a(z2) = 10 )
& ! [X172: $int,X171: $int,X173: $int] :
( ~ $less(b(X173),4)
| ~ $less(b(X172),4)
| ( 2 != b(X171) )
| ( X171 = X172 )
| ( 10 != a(X171) )
| ~ $less(X171,X172)
| ( 3 != a(X172) )
| ( X171 = X173 )
| ( 8 != a(X173) )
| ( X172 = X173 ) )
& ! [X213: $int,X212: $int,X211: $int] :
( ( 10 != a(X212) )
| ( X211 = X213 )
| ( 4 != a(X211) )
| ~ $less(X212,X213)
| ( 2 != b(X212) )
| ( X211 = X212 )
| ( 5 != a(X213) )
| ( 5 != b(X213) )
| ( X212 = X213 ) )
& ! [X228: $int,X227: $int,X226: $int] :
( ( 10 != a(X227) )
| ( X227 = X228 )
| ( X226 = X228 )
| ( 2 != b(X227) )
| ~ $less(X227,X226)
| ( X226 = X227 )
| ( 4 != a(X226) )
| ( 8 != a(X228) ) )
& ( z4 != z5 )
& ! [X216: $int,X214: $int,X215: $int] :
( ~ $less(b(X214),3)
| ( 8 != a(X215) )
| ( X215 = X216 )
| ( 10 != a(X214) )
| ( X214 = X216 )
| ( 2 != b(X215) )
| ~ $less(X214,X216)
| ( 4 != a(X216) )
| ( X214 = X215 ) )
& ! [X83: $int,X82: $int,X81: $int] :
( ~ $less(X82,X83)
| ( 10 != a(X82) )
| ~ $less(b(X82),3)
| ( X81 = X82 )
| ( 8 != a(X81) )
| ( X82 = X83 )
| ( 6 != a(X83) )
| ( X81 = X83 ) )
& ! [X112: $int,X110: $int,X113: $int,X111: $int] :
( ( X111 = X113 )
| ( X110 = X113 )
| ( 5 != a(X110) )
| ~ $less(X113,X110)
| ( X110 = X112 )
| ( X110 = X111 )
| ( 8 != a(X112) )
| ( 10 != a(X113) )
| ( 2 != a(X111) )
| ~ $less(b(X113),3)
| ( X111 = X112 )
| ( X112 = X113 ) )
& ! [X240: $int,X242: $int,X241: $int] :
( ( X240 = X242 )
| ( 5 != b(X240) )
| ( 2 != b(X242) )
| ( 5 != a(X240) )
| ( 7 != a(X241) )
| ~ $less(X242,X240)
| ( 10 != a(X242) )
| ( X240 = X241 )
| ( X241 = X242 ) )
& ! [X116: $int,X117: $int,X114: $int,X115: $int] :
( ~ $less(X115,X114)
| ( X116 = X117 )
| ( 5 != b(X117) )
| ( X115 = X117 )
| ( 5 != a(X114) )
| ( X114 = X116 )
| ( X114 = X115 )
| ( 2 != a(X116) )
| ( X114 = X117 )
| ( 10 != a(X115) )
| ~ $less(b(X115),3)
| ( X115 = X116 ) )
& ! [X150: $int,X149: $int,X148: $int] :
( ~ $less(b(X149),4)
| ( 8 != a(X149) )
| ( 1 != a(X150) )
| ( X148 = X149 )
| ( X148 = X150 )
| ( 10 != a(X148) )
| ( 2 != b(X148) )
| ( X149 = X150 )
| ~ $less(X148,X150) )
& ( z1 != z5 )
& ! [X73: $int,X72: $int,X70: $int,X71: $int] :
( ~ $less(X72,X71)
| ( X70 = X71 )
| ( 2 != b(X73) )
| ( X70 = X72 )
| ( 10 != a(X72) )
| ( X71 = X73 )
| ( 7 != a(X70) )
| ( 5 != a(X71) )
| ~ $less(b(X72),3)
| ( 5 != b(X71) )
| ( X72 = X73 )
| ( X71 = X72 )
| ( X70 = X73 ) )
& ( z1 != z2 )
& ! [X157: $int,X158: $int,X156: $int,X155: $int] :
( ( 2 != b(X155) )
| ( 10 != a(X156) )
| ( X155 = X156 )
| ( X156 = X158 )
| ( 3 != a(X157) )
| ( X156 = X157 )
| ( 5 != b(X158) )
| ~ $less(b(X157),4)
| ( X155 = X158 )
| ~ $less(b(X156),3)
| ~ $less(X156,X157)
| ( X157 = X158 )
| ( 7 != a(X155) )
| ( X155 = X157 ) )
& ! [X86: $int,X84: $int,X85: $int] :
( ( 8 != a(X85) )
| ( 5 != a(X86) )
| ( X84 = X86 )
| ( 10 != a(X84) )
| ( X85 = X86 )
| ( 2 != b(X84) )
| ( X84 = X85 )
| ~ $less(X84,X86) )
& ! [X6: $int,X7: $int,X5: $int] :
( ( X5 = X7 )
| ( 2 != a(X5) )
| ( X5 = X6 )
| ~ $less(X7,X5)
| ( 5 != b(X5) )
| ( X6 = X7 )
| ( 2 != b(X6) )
| ( 7 != a(X6) )
| ( 10 != a(X7) )
| ~ $less(b(X7),3) )
& ! [X196: $int,X198: $int,X197: $int] :
( ( X196 = X197 )
| ~ $less(X196,X197)
| ( X196 = X198 )
| ( 7 != a(X198) )
| ~ $less(b(X196),3)
| ( 5 != b(X197) )
| ( 4 != a(X197) )
| ( 10 != a(X196) )
| ( X197 = X198 )
| ( 2 != b(X198) ) )
& ! [X176: $int,X174: $int,X175: $int] :
( ( X174 = X176 )
| ( 6 != a(X174) )
| ( 5 != b(X176) )
| ( 10 != a(X175) )
| ~ $less(X175,X176)
| ( X175 = X176 )
| ~ $less(b(X175),3)
| ( X174 = X175 )
| ( 2 != b(X174) )
| ( 5 != a(X176) ) )
& ! [X162: $int,X164: $int,X163: $int] :
( ( 10 != a(X163) )
| ( X162 = X164 )
| ( X163 = X164 )
| ( 8 != a(X164) )
| ( 12 != a(X162) )
| ( 2 != b(X164) )
| ~ $less(b(X163),3)
| ( X162 = X163 )
| ~ $less(X163,X162) )
& ( z1 != z4 )
& ! [X145: $int,X146: $int,X147: $int] :
( ( X145 = X146 )
| ( 2 != b(X145) )
| ( 7 != a(X146) )
| ( X146 = X147 )
| ( 5 != b(X147) )
| ( 4 != a(X147) )
| ( X145 = X147 )
| ( 10 != a(X145) )
| ~ $less(X145,X147) )
& ! [X167: $int,X166: $int,X165: $int] :
( ( 2 != b(X165) )
| ( X165 = X166 )
| ( 2 != a(X167) )
| ~ $less(X165,X167)
| ~ $less(b(X166),4)
| ( 7 != a(X166) )
| ( X166 = X167 )
| ( 10 != a(X165) )
| ( X165 = X167 )
| ( 5 != b(X167) ) )
& ! [X133: $int,X134: $int,X131: $int,X132: $int] :
( ( X132 = X133 )
| ( 2 != b(X132) )
| ~ $less(b(X134),3)
| ( 5 != b(X133) )
| ( X132 = X134 )
| ( X131 = X133 )
| ( 5 != a(X131) )
| ( 7 != a(X133) )
| ~ $less(X134,X133)
| ( X131 = X134 )
| ( X133 = X134 )
| ( 10 != a(X134) )
| ( X131 = X132 ) )
& ! [X108: $int,X106: $int,X107: $int,X109: $int] :
( ( X106 = X107 )
| ( X108 = X109 )
| ( X107 = X108 )
| ~ $less(X106,X108)
| ( 5 != b(X109) )
| ( 2 != b(X106) )
| ( X106 = X108 )
| ( 1 != a(X108) )
| ~ $less(b(X107),4)
| ( X106 = X109 )
| ( 7 != a(X107) )
| ( X107 = X109 )
| ( 10 != a(X106) ) )
& ( a(z3) = 5 )
& ! [X102: $int,X100: $int,X101: $int] :
( ( 2 != a(X101) )
| ( 10 != a(X100) )
| ( 2 != b(X100) )
| ~ $less(X100,X101)
| ( 4 != a(X102) )
| ( X100 = X102 )
| ( X100 = X101 )
| ( X101 = X102 )
| ( 5 != b(X101) ) )
& ! [X12: $int,X11: $int,X13: $int] :
( ( 6 != a(X12) )
| ( X11 = X13 )
| ( 5 != b(X13) )
| ( 4 != a(X13) )
| ( 10 != a(X11) )
| ~ $less(X11,X13)
| ( 2 != b(X11) )
| ( X12 = X13 )
| ( X11 = X12 ) )
& ! [X44: $int,X42: $int,X43: $int,X45: $int] :
( ~ $less(X42,X45)
| ( X43 = X44 )
| ( 1 != a(X43) )
| ( X42 = X43 )
| ( 5 != a(X45) )
| ~ $less(b(X42),3)
| ( X43 = X45 )
| ( X42 = X44 )
| ( 10 != a(X42) )
| ( 5 != b(X44) )
| ( X42 = X45 )
| ( X44 = X45 ) )
& ! [X46: $int,X48: $int,X47: $int] :
( ( 5 != a(X46) )
| ( 12 != a(X48) )
| ( X46 = X47 )
| ( X47 = X48 )
| ( 2 != b(X47) )
| ~ $less(X47,X48)
| ( X46 = X48 )
| ( 10 != a(X47) )
| ( 5 != b(X48) ) )
& ! [X50: $int,X51: $int,X49: $int] :
( ( 5 != b(X51) )
| ~ $less(b(X49),3)
| ( 6 != a(X50) )
| ( X49 = X50 )
| ( 10 != a(X49) )
| ( X50 = X51 )
| ~ $less(X49,X51)
| ( X49 = X51 )
| ( 7 != a(X51) ) )
& ! [X123: $int,X124: $int,X122: $int] :
( ~ $less(b(X123),4)
| ( X122 = X123 )
| ( 5 != b(X124) )
| ( 1 != a(X124) )
| ( 10 != a(X122) )
| ( X122 = X124 )
| ~ $less(X122,X124)
| ( 7 != a(X123) )
| ( X123 = X124 )
| ( 2 != b(X122) ) )
& ( z2 != z3 )
& ! [X53: $int,X54: $int,X52: $int] :
( ( 7 != a(X54) )
| ~ $less(X52,X53)
| ( X53 = X54 )
| ( 10 != a(X52) )
| ( X52 = X53 )
| ( X52 = X54 )
| ( 2 != b(X54) )
| ( 5 != b(X53) )
| ~ $less(b(X52),3)
| ( 5 != a(X53) ) )
& ( z3 != z4 )
& ! [X65: $int,X63: $int,X66: $int,X64: $int] :
( ( X63 = X65 )
| ( X63 = X66 )
| ( 5 != a(X66) )
| ( 2 != b(X66) )
| ~ $less(b(X65),3)
| ( X65 = X66 )
| ( 5 != a(X63) )
| ( X64 = X66 )
| ( X64 = X65 )
| ( 2 != b(X64) )
| ( 10 != a(X65) )
| ( X63 = X64 )
| ( 5 != b(X63) )
| ~ $less(X65,X63) )
& ! [X190: $int,X192: $int,X191: $int] :
( ( 2 != b(X192) )
| ( X190 = X191 )
| ( 5 != b(X190) )
| ( 4 != a(X191) )
| ( 4 != a(X190) )
| ( X191 = X192 )
| ( X190 = X192 )
| ~ $less(X192,X190)
| ( 10 != a(X192) ) )
& ! [X95: $int,X96: $int,X93: $int,X94: $int] :
( ( X95 = X96 )
| ( X93 = X95 )
| ( 8 != a(X94) )
| ( X93 = X94 )
| ( X94 = X96 )
| ~ $less(X96,X93)
| ( 10 != a(X96) )
| ( X94 = X95 )
| ~ $less(b(X96),3)
| ( 5 != a(X93) )
| ( X93 = X96 )
| ( 2 != b(X95) ) )
& ! [X223: $int,X224: $int,X225: $int] :
( ~ $less(b(X224),3)
| ( 10 != a(X224) )
| ( X224 = X225 )
| ~ $less(X224,X225)
| ( 7 != a(X225) )
| ( 8 != a(X223) )
| ( X223 = X225 )
| ( X223 = X224 ) )
& ! [X56: $int,X58: $int,X57: $int] :
( ( 10 != a(X57) )
| ( X56 = X57 )
| ( X57 = X58 )
| ( 5 != b(X58) )
| ( 2 != b(X57) )
| ( 4 != a(X56) )
| ~ $less(X57,X56)
| ( X56 = X58 ) )
& ! [X118: $int,X121: $int,X119: $int,X120: $int] :
( ( X119 = X120 )
| ( 10 != a(X118) )
| ( 5 != a(X120) )
| ~ $less(X118,X120)
| ( X118 = X119 )
| ( X118 = X120 )
| ( X120 = X121 )
| ( X119 = X121 )
| ( 2 != b(X121) )
| ( 5 != b(X119) )
| ~ $less(b(X118),3)
| ( X118 = X121 ) )
& ! [X23: $int,X22: $int,X24: $int] :
( ( 5 != b(X23) )
| ( X22 = X24 )
| ( 6 != a(X23) )
| ( 7 != a(X22) )
| ( 10 != a(X24) )
| ~ $less(b(X24),3)
| ~ $less(X24,X23)
| ( X22 = X23 )
| ( X23 = X24 ) )
& ! [X33: $int,X34: $int,X32: $int] :
( ( 5 != a(X34) )
| ( X33 = X34 )
| ( X32 = X34 )
| ( 2 != b(X33) )
| ( 10 != a(X33) )
| ( 5 != b(X32) )
| ~ $less(X33,X34)
| ( X32 = X33 ) )
& ! [X3: $int,X2: $int,X1: $int,X4: $int] :
( ( X2 = X4 )
| ( 2 != a(X4) )
| ( X1 = X4 )
| ~ $less(X3,X4)
| ( X1 = X3 )
| ( b(X1) != 2 )
| ( a(X1) != 7 )
| ( X1 = X2 )
| ( 5 != b(X2) )
| ( X3 = X4 )
| ~ $less(b(X3),3)
| ( 10 != a(X3) )
| ( X2 = X3 ) )
& ! [X136: $int,X135: $int,X138: $int,X137: $int] :
( ~ $less(b(X138),3)
| ( 2 != b(X135) )
| ( 5 != b(X136) )
| ( X135 = X138 )
| ( 10 != a(X138) )
| ( 4 != a(X137) )
| ( X136 = X137 )
| ( X136 = X138 )
| ( X135 = X137 )
| ~ $less(X138,X137)
| ( X135 = X136 )
| ( X137 = X138 ) )
& ( z2 != z4 )
& ! [X232: $int,X231: $int,X233: $int] :
( ( X231 = X232 )
| ( X232 = X233 )
| ( 5 != a(X232) )
| ( X231 = X233 )
| ( 2 != b(X233) )
| ~ $less(X233,X232)
| ( 10 != a(X233) )
| ( 5 != a(X231) )
| ( 5 != b(X232) ) )
& ! [X248: $int,X247: $int,X246: $int] :
( ( 10 != a(X248) )
| ( X246 = X247 )
| ( X246 = X248 )
| ( 5 != b(X246) )
| ( 2 != b(X248) )
| ~ $less(X248,X246)
| ( 6 != a(X246) )
| ( X247 = X248 )
| ( 4 != a(X247) ) )
& ( z3 != z5 )
& ! [X184: $int,X186: $int,X185: $int] :
( ( X184 = X185 )
| ( 6 != a(X186) )
| ( X184 = X186 )
| ( X185 = X186 )
| ( 5 != b(X184) )
| ~ $less(b(X185),3)
| ~ $less(X185,X186)
| ( 10 != a(X185) ) )
& ! [X41: $int,X40: $int,X39: $int,X38: $int] :
( ( 6 != a(X40) )
| ( X39 = X41 )
| ( X39 = X40 )
| ( 5 != a(X41) )
| ( X38 = X41 )
| ( 5 != b(X41) )
| ( 2 != b(X39) )
| ( X38 = X40 )
| ( X38 = X39 )
| ~ $less(X38,X41)
| ( X40 = X41 )
| ( 10 != a(X38) )
| ~ $less(b(X38),3) )
& ! [X159: $int,X161: $int,X160: $int] :
( ( 10 != a(X161) )
| ( 2 != b(X161) )
| ( X159 = X160 )
| ( 2 != a(X160) )
| ~ $less(X161,X160)
| ( 8 != a(X159) )
| ~ $less(b(X159),4)
| ( X159 = X161 )
| ( X160 = X161 ) )
& $less(b(z2),3)
& ( z1 != z3 )
& ! [X193: $int,X194: $int,X195: $int] :
( ~ $less(X195,X194)
| ( 5 != b(X194) )
| ( 5 != a(X193) )
| ( X193 = X195 )
| ( X193 = X194 )
| ( X194 = X195 )
| ( 10 != a(X195) )
| ( 2 != b(X195) )
| ( 6 != a(X194) ) )
& ! [X55: $int] :
( ~ $less(12,a(X55))
& ~ $less(a(X55),1) )
& ! [X17: $int,X18: $int] :
( ( X17 = X18 )
| ( 10 != a(X18) )
| ( 10 != a(X17) ) )
& ! [X91: $int,X92: $int,X90: $int] :
( ~ $less(X90,X91)
| ( 10 != a(X90) )
| ( X90 = X91 )
| ( X91 = X92 )
| ( 5 != b(X91) )
| ( 5 != a(X92) )
| ( X90 = X92 )
| ( 2 != a(X91) )
| ( 2 != b(X90) ) )
& ( b(z3) = 5 )
& ! [X169: $int,X168: $int,X170: $int] :
( ( 6 != a(X170) )
| ( X169 = X170 )
| ( 5 != b(X168) )
| ~ $less(X169,X168)
| ( 2 != b(X169) )
| ( X168 = X170 )
| ( 1 != a(X168) )
| ( X168 = X169 )
| ( 10 != a(X169) ) )
& ! [X130: $int,X129: $int,X128: $int] :
( ( X129 = X130 )
| ( 5 != b(X130) )
| ~ $less(X128,X130)
| ( 2 != b(X128) )
| ( X128 = X129 )
| ( X128 = X130 )
| ( 2 != a(X130) )
| ( 6 != a(X129) )
| ( 10 != a(X128) ) )
& ( z2 != z5 )
& ! [X199: $int,X202: $int,X201: $int,X200: $int] :
( ( X200 = X201 )
| ( X199 = X202 )
| ( X199 = X200 )
| ( X201 = X202 )
| ~ $less(X199,X201)
| ( X200 = X202 )
| ( 2 != a(X200) )
| ( X199 = X201 )
| ( 5 != b(X202) )
| ~ $less(b(X199),3)
| ( 10 != a(X199) )
| ( 4 != a(X201) ) )
& ! [X98: $int,X97: $int,X99: $int] :
( ~ $less(X97,X98)
| ( 2 != b(X99) )
| ( X98 = X99 )
| ( 8 != a(X99) )
| ( X97 = X98 )
| ~ $less(b(X97),3)
| ( 5 != a(X98) )
| ( X97 = X99 )
| ( 10 != a(X97) ) )
& ! [X125: $int,X127: $int,X126: $int] :
( ( X126 = X127 )
| ~ $less(b(X126),3)
| ( X125 = X126 )
| ( X125 = X127 )
| ( 10 != a(X126) )
| ( 7 != a(X127) )
| ( 5 != b(X125) )
| ~ $less(X126,X127) )
& ! [X203: $int,X206: $int,X205: $int,X204: $int] :
( ( X203 = X206 )
| ( 12 != a(X203) )
| ( 10 != a(X205) )
| ( 2 != b(X205) )
| ( X203 = X205 )
| ~ $less(X205,X203)
| ( 7 != a(X206) )
| ( X203 = X204 )
| ( X204 = X205 )
| ~ $less(b(X206),4)
| ( X204 = X206 )
| ( 5 != b(X204) )
| ( X205 = X206 ) )
& ! [X16: $int,X14: $int,X15: $int] :
( ( 10 != a(X16) )
| ( 5 != a(X14) )
| ( X14 = X15 )
| ( 2 != b(X16) )
| ( X15 = X16 )
| ( X14 = X16 )
| ~ $less(X16,X15)
| ( 5 != b(X15) )
| ( 4 != a(X15) ) )
& ! [X59: $int,X60: $int,X61: $int,X62: $int] :
( ( 2 != a(X59) )
| ( 7 != a(X61) )
| ( 5 != b(X62) )
| ( X60 = X61 )
| ( X61 = X62 )
| ~ $less(b(X61),4)
| ( 10 != a(X60) )
| ~ $less(X60,X59)
| ( X60 = X62 )
| ( 2 != b(X60) )
| ( X59 = X62 )
| ( X59 = X60 )
| ( X59 = X61 ) )
& ( b(z1) = 2 )
& ! [X219: $int,X218: $int,X217: $int,X220: $int] :
( ( X218 = X219 )
| ( 7 != a(X219) )
| ~ $less(b(X219),4)
| ( X217 = X218 )
| ( X217 = X219 )
| ( 5 != b(X220) )
| ~ $less(X217,X218)
| ( 2 != b(X217) )
| ( X219 = X220 )
| ( 10 != a(X217) )
| ( X217 = X220 )
| ~ $less(b(X218),4)
| ( 3 != a(X218) )
| ( X218 = X220 ) )
& ! [X178: $int,X177: $int,X179: $int] :
( ( 2 != b(X179) )
| ( 10 != a(X178) )
| ~ $less(b(X178),3)
| ( 8 != a(X179) )
| ( X177 = X179 )
| ( X178 = X179 )
| ~ $less(X178,X177)
| ( 1 != a(X177) )
| ( X177 = X178 ) )
& ! [X245: $int,X243: $int,X244: $int] :
( ( X243 = X244 )
| ( 10 != a(X244) )
| ( X243 = X245 )
| ( 1 != a(X245) )
| ( 2 != b(X243) )
| ( X244 = X245 )
| ~ $less(b(X244),3)
| ( 5 != b(X245) )
| ( 7 != a(X243) )
| ~ $less(X244,X245) )
& ( a(z4) = 2 )
& ! [X104: $int,X103: $int,X105: $int] :
( ( X103 = X105 )
| ~ $less(X103,X105)
| ( 8 != a(X104) )
| ( 2 != b(X104) )
| ( X103 = X104 )
| ( 3 != a(X105) )
| ( X104 = X105 )
| ( 10 != a(X103) )
| ~ $less(b(X105),4)
| ~ $less(b(X103),3) )
& ! [X21: $int,X20: $int,X19: $int] :
( ( 5 != b(X20) )
| ( 4 != a(X21) )
| ( X20 = X21 )
| ( X19 = X21 )
| ( 2 != b(X19) )
| ~ $less(X19,X20)
| ( 12 != a(X20) )
| ( 10 != a(X19) )
| ( X19 = X20 ) )
& ( a(z1) = 5 )
& ! [X79: $int,X80: $int,X78: $int] :
( ( 10 != a(X80) )
| ( X79 = X80 )
| ( 7 != a(X79) )
| ( 5 != b(X78) )
| ~ $less(X80,X78)
| ( X78 = X79 )
| ~ $less(b(X80),3)
| ( 7 != a(X78) )
| ( X78 = X80 ) )
& ! [X31: $int,X29: $int,X30: $int] :
( ( 2 != b(X29) )
| ~ $less(X29,X30)
| ( 1 != a(X30) )
| ( 10 != a(X29) )
| ( X29 = X31 )
| ( 5 != b(X30) )
| ( X30 = X31 )
| ( 4 != a(X31) )
| ( X29 = X30 ) )
& ! [X139: $int,X141: $int,X140: $int] :
( ~ $less(b(X141),3)
| ( 8 != a(X139) )
| ~ $less(X141,X140)
| ( 2 != b(X139) )
| ( X140 = X141 )
| ( 2 != a(X140) )
| ( X139 = X141 )
| ( 10 != a(X141) )
| ( X139 = X140 ) )
& $less(z2,z1)
& ! [X35: $int,X36: $int,X37: $int] :
( ( 5 != a(X35) )
| ( 5 != b(X37) )
| ( X35 = X36 )
| ( X36 = X37 )
| ( X35 = X37 )
| ~ $less(X36,X37)
| ( 2 != b(X36) )
| ( 10 != a(X36) )
| ( 7 != a(X37) ) )
& ! [X0: $int] :
( ~ $less(b(X0),1)
& ~ $less(5,b(X0)) )
& ! [X180: $int,X182: $int,X181: $int,X183: $int] :
( ( 6 != a(X181) )
| ( 2 != b(X183) )
| ( 10 != a(X180) )
| ~ $less(X180,X181)
| ( 5 != a(X182) )
| ( X180 = X181 )
| ( X180 = X182 )
| ( X181 = X183 )
| ( X181 = X182 )
| ( X180 = X183 )
| ( 5 != b(X181) )
| ( X182 = X183 )
| ~ $less(b(X180),3) )
& ! [X251: $int,X249: $int,X250: $int] :
( ~ $less(X251,X249)
| ( X249 = X251 )
| ( X250 = X251 )
| ( X249 = X250 )
| ( 12 != a(X249) )
| ( 8 != a(X250) )
| ( 2 != b(X251) )
| ~ $less(b(X250),4)
| ( 10 != a(X251) ) )
& ! [X69: $int,X67: $int,X68: $int] :
( ( 10 != a(X67) )
| ( 2 != b(X67) )
| ( 7 != a(X69) )
| ( 12 != a(X68) )
| ~ $less(X67,X68)
| ( X67 = X68 )
| ( X67 = X69 )
| ( X68 = X69 )
| ~ $less(b(X69),4)
| ( 5 != b(X68) ) )
& ! [X188: $int,X187: $int,X189: $int] :
( ( 2 != b(X187) )
| ( X187 = X189 )
| ( 10 != a(X188) )
| ( 7 != a(X187) )
| ( X187 = X188 )
| ( 5 != b(X189) )
| ~ $less(b(X188),3)
| ~ $less(X188,X189)
| ( X188 = X189 )
| ( 12 != a(X189) ) )
& ! [X27: $int,X25: $int,X28: $int,X26: $int] :
( ~ $less(X27,X25)
| ( 7 != a(X26) )
| ( X25 = X28 )
| ( X25 = X26 )
| ( X25 = X27 )
| ( 10 != a(X27) )
| ( 5 != b(X28) )
| ( X26 = X28 )
| ~ $less(b(X27),3)
| ( 2 != b(X26) )
| ( X27 = X28 )
| ( X26 = X27 )
| ( 1 != a(X25) ) )
& ! [X154: $int,X151: $int,X152: $int,X153: $int] :
( ( 2 != b(X152) )
| ( X151 = X154 )
| ( X152 = X153 )
| ( X151 = X152 )
| ( X152 = X154 )
| ( X151 = X153 )
| ( 5 != b(X151) )
| ( 12 != a(X154) )
| ~ $less(b(X153),3)
| ~ $less(X153,X154)
| ( 7 != a(X152) )
| ( 10 != a(X153) )
| ( X153 = X154 ) )
& ! [X230: $int,X229: $int] :
( ~ $less(X229,X230)
| ( X229 = X230 )
| ( 9 != a(X230) )
| ( 10 != a(X229) )
| ~ $less(b(X229),3) )
& ! [X234: $int,X236: $int,X235: $int] :
( ( X234 = X236 )
| ( 6 != a(X236) )
| ( X235 = X236 )
| ( 5 != a(X235) )
| ~ $less(X234,X235)
| ( 5 != b(X235) )
| ( 10 != a(X234) )
| ( 2 != b(X234) )
| ( X234 = X235 ) )
& ! [X237: $int,X238: $int,X239: $int] :
( ( X237 = X239 )
| ( 10 != a(X238) )
| ( X237 = X238 )
| ~ $less(b(X238),3)
| ~ $less(X238,X237)
| ( 5 != b(X237) )
| ( 6 != a(X237) )
| ( X238 = X239 )
| ( 6 != a(X239) ) )
& ! [X221: $int,X222: $int] :
( ~ $less(b(X221),3)
| ( X221 = X222 )
| ( 8 != a(X222) )
| ~ $less(X221,X222)
| ( 10 != a(X221) ) )
& ! [X207: $int,X210: $int,X209: $int,X208: $int] :
( ( 10 != a(X208) )
| ( X209 = X210 )
| ( 8 != a(X210) )
| ( X208 = X209 )
| ( X208 = X210 )
| ( 2 != b(X209) )
| ~ $less(X208,X207)
| ( X207 = X208 )
| ( X207 = X209 )
| ( X207 = X210 )
| ~ $less(b(X208),3)
| ( 4 != a(X207) ) )
& ! [X144: $int,X143: $int,X142: $int] :
( ~ $less(X142,X144)
| ( X142 = X143 )
| ( X143 = X144 )
| ( 7 != a(X144) )
| ( 4 != a(X143) )
| ( 2 != b(X142) )
| ( 5 != b(X144) )
| ( 10 != a(X142) )
| ( X142 = X144 ) )
& ! [X74: $int,X77: $int,X76: $int,X75: $int] :
( ( X75 = X76 )
| ( X76 = X77 )
| ( X74 = X77 )
| ( X75 = X77 )
| ( 5 != b(X77) )
| ( X74 = X76 )
| ( 2 != b(X74) )
| ( 4 != a(X76) )
| ~ $less(b(X75),3)
| ( 10 != a(X75) )
| ~ $less(X75,X76)
| ( 7 != a(X74) )
| ( X74 = X75 ) )
& ! [X89: $int,X87: $int,X88: $int] :
( ~ $less(X89,X87)
| ( X87 = X89 )
| ( 10 != a(X89) )
| ( 2 != b(X89) )
| ( X87 = X88 )
| ( 5 != a(X88) )
| ( 1 != a(X87) )
| ( 5 != b(X87) )
| ( X88 = X89 ) ) ),
inference(flattening,[],[f6]) ).
tff(f8,plain,
( ! [X0: $int,X1: $int,X2: $int] :
( ( a(X0) != 10 )
| ( X0 = X2 )
| ( 5 != b(X1) )
| ( X0 = X1 )
| ( b(X0) != 2 )
| ~ $less(X0,X1)
| ( 6 != a(X2) )
| ( X1 = X2 )
| ( 12 != a(X1) ) )
& ( a(z2) = 10 )
& ! [X3: $int,X4: $int,X5: $int] :
( ~ $less(b(X5),4)
| ~ $less(b(X3),4)
| ( 2 != b(X4) )
| ( X3 = X4 )
| ( 10 != a(X4) )
| ~ $less(X4,X3)
| ( 3 != a(X3) )
| ( X4 = X5 )
| ( 8 != a(X5) )
| ( X3 = X5 ) )
& ! [X6: $int,X7: $int,X8: $int] :
( ( 10 != a(X7) )
| ( X6 = X8 )
| ( 4 != a(X8) )
| ~ $less(X7,X6)
| ( 2 != b(X7) )
| ( X7 = X8 )
| ( 5 != a(X6) )
| ( 5 != b(X6) )
| ( X6 = X7 ) )
& ! [X9: $int,X10: $int,X11: $int] :
( ( 10 != a(X10) )
| ( X9 = X10 )
| ( X9 = X11 )
| ( 2 != b(X10) )
| ~ $less(X10,X11)
| ( X10 = X11 )
| ( 4 != a(X11) )
| ( 8 != a(X9) ) )
& ( z4 != z5 )
& ! [X12: $int,X13: $int,X14: $int] :
( ~ $less(b(X13),3)
| ( 8 != a(X14) )
| ( X12 = X14 )
| ( 10 != a(X13) )
| ( X12 = X13 )
| ( 2 != b(X14) )
| ~ $less(X13,X12)
| ( 4 != a(X12) )
| ( X13 = X14 ) )
& ! [X15: $int,X16: $int,X17: $int] :
( ~ $less(X16,X15)
| ( 10 != a(X16) )
| ~ $less(b(X16),3)
| ( X16 = X17 )
| ( 8 != a(X17) )
| ( X15 = X16 )
| ( 6 != a(X15) )
| ( X15 = X17 ) )
& ! [X18: $int,X19: $int,X20: $int,X21: $int] :
( ( X20 = X21 )
| ( X19 = X20 )
| ( 5 != a(X19) )
| ~ $less(X20,X19)
| ( X18 = X19 )
| ( X19 = X21 )
| ( 8 != a(X18) )
| ( 10 != a(X20) )
| ( 2 != a(X21) )
| ~ $less(b(X20),3)
| ( X18 = X21 )
| ( X18 = X20 ) )
& ! [X22: $int,X23: $int,X24: $int] :
( ( X22 = X23 )
| ( 5 != b(X22) )
| ( 2 != b(X23) )
| ( 5 != a(X22) )
| ( 7 != a(X24) )
| ~ $less(X23,X22)
| ( 10 != a(X23) )
| ( X22 = X24 )
| ( X23 = X24 ) )
& ! [X25: $int,X26: $int,X27: $int,X28: $int] :
( ~ $less(X28,X27)
| ( X25 = X26 )
| ( 5 != b(X26) )
| ( X26 = X28 )
| ( 5 != a(X27) )
| ( X25 = X27 )
| ( X27 = X28 )
| ( 2 != a(X25) )
| ( X26 = X27 )
| ( 10 != a(X28) )
| ~ $less(b(X28),3)
| ( X25 = X28 ) )
& ! [X29: $int,X30: $int,X31: $int] :
( ~ $less(b(X30),4)
| ( 8 != a(X30) )
| ( 1 != a(X29) )
| ( X30 = X31 )
| ( X29 = X31 )
| ( 10 != a(X31) )
| ( 2 != b(X31) )
| ( X29 = X30 )
| ~ $less(X31,X29) )
& ( z1 != z5 )
& ! [X32: $int,X33: $int,X34: $int,X35: $int] :
( ~ $less(X33,X35)
| ( X34 = X35 )
| ( 2 != b(X32) )
| ( X33 = X34 )
| ( 10 != a(X33) )
| ( X32 = X35 )
| ( 7 != a(X34) )
| ( 5 != a(X35) )
| ~ $less(b(X33),3)
| ( 5 != b(X35) )
| ( X32 = X33 )
| ( X33 = X35 )
| ( X32 = X34 ) )
& ( z1 != z2 )
& ! [X36: $int,X37: $int,X38: $int,X39: $int] :
( ( 2 != b(X39) )
| ( 10 != a(X38) )
| ( X38 = X39 )
| ( X37 = X38 )
| ( 3 != a(X36) )
| ( X36 = X38 )
| ( 5 != b(X37) )
| ~ $less(b(X36),4)
| ( X37 = X39 )
| ~ $less(b(X38),3)
| ~ $less(X38,X36)
| ( X36 = X37 )
| ( 7 != a(X39) )
| ( X36 = X39 ) )
& ! [X40: $int,X41: $int,X42: $int] :
( ( 8 != a(X42) )
| ( 5 != a(X40) )
| ( X40 = X41 )
| ( 10 != a(X41) )
| ( X40 = X42 )
| ( 2 != b(X41) )
| ( X41 = X42 )
| ~ $less(X41,X40) )
& ! [X43: $int,X44: $int,X45: $int] :
( ( X44 = X45 )
| ( 2 != a(X45) )
| ( X43 = X45 )
| ~ $less(X44,X45)
| ( 5 != b(X45) )
| ( X43 = X44 )
| ( 2 != b(X43) )
| ( 7 != a(X43) )
| ( 10 != a(X44) )
| ~ $less(b(X44),3) )
& ! [X46: $int,X47: $int,X48: $int] :
( ( X46 = X48 )
| ~ $less(X46,X48)
| ( X46 = X47 )
| ( 7 != a(X47) )
| ~ $less(b(X46),3)
| ( 5 != b(X48) )
| ( 4 != a(X48) )
| ( 10 != a(X46) )
| ( X47 = X48 )
| ( 2 != b(X47) ) )
& ! [X49: $int,X50: $int,X51: $int] :
( ( X49 = X50 )
| ( 6 != a(X50) )
| ( 5 != b(X49) )
| ( 10 != a(X51) )
| ~ $less(X51,X49)
| ( X49 = X51 )
| ~ $less(b(X51),3)
| ( X50 = X51 )
| ( 2 != b(X50) )
| ( 5 != a(X49) ) )
& ! [X52: $int,X53: $int,X54: $int] :
( ( 10 != a(X54) )
| ( X52 = X53 )
| ( X53 = X54 )
| ( 8 != a(X53) )
| ( 12 != a(X52) )
| ( 2 != b(X53) )
| ~ $less(b(X54),3)
| ( X52 = X54 )
| ~ $less(X54,X52) )
& ( z1 != z4 )
& ! [X55: $int,X56: $int,X57: $int] :
( ( X55 = X56 )
| ( 2 != b(X55) )
| ( 7 != a(X56) )
| ( X56 = X57 )
| ( 5 != b(X57) )
| ( 4 != a(X57) )
| ( X55 = X57 )
| ( 10 != a(X55) )
| ~ $less(X55,X57) )
& ! [X58: $int,X59: $int,X60: $int] :
( ( 2 != b(X60) )
| ( X59 = X60 )
| ( 2 != a(X58) )
| ~ $less(X60,X58)
| ~ $less(b(X59),4)
| ( 7 != a(X59) )
| ( X58 = X59 )
| ( 10 != a(X60) )
| ( X58 = X60 )
| ( 5 != b(X58) ) )
& ! [X61: $int,X62: $int,X63: $int,X64: $int] :
( ( X61 = X64 )
| ( 2 != b(X64) )
| ~ $less(b(X62),3)
| ( 5 != b(X61) )
| ( X62 = X64 )
| ( X61 = X63 )
| ( 5 != a(X63) )
| ( 7 != a(X61) )
| ~ $less(X62,X61)
| ( X62 = X63 )
| ( X61 = X62 )
| ( 10 != a(X62) )
| ( X63 = X64 ) )
& ! [X65: $int,X66: $int,X67: $int,X68: $int] :
( ( X66 = X67 )
| ( X65 = X68 )
| ( X65 = X67 )
| ~ $less(X66,X65)
| ( 5 != b(X68) )
| ( 2 != b(X66) )
| ( X65 = X66 )
| ( 1 != a(X65) )
| ~ $less(b(X67),4)
| ( X66 = X68 )
| ( 7 != a(X67) )
| ( X67 = X68 )
| ( 10 != a(X66) ) )
& ( a(z3) = 5 )
& ! [X69: $int,X70: $int,X71: $int] :
( ( 2 != a(X71) )
| ( 10 != a(X70) )
| ( 2 != b(X70) )
| ~ $less(X70,X71)
| ( 4 != a(X69) )
| ( X69 = X70 )
| ( X70 = X71 )
| ( X69 = X71 )
| ( 5 != b(X71) ) )
& ! [X72: $int,X73: $int,X74: $int] :
( ( 6 != a(X72) )
| ( X73 = X74 )
| ( 5 != b(X74) )
| ( 4 != a(X74) )
| ( 10 != a(X73) )
| ~ $less(X73,X74)
| ( 2 != b(X73) )
| ( X72 = X74 )
| ( X72 = X73 ) )
& ! [X75: $int,X76: $int,X77: $int,X78: $int] :
( ~ $less(X76,X78)
| ( X75 = X77 )
| ( 1 != a(X77) )
| ( X76 = X77 )
| ( 5 != a(X78) )
| ~ $less(b(X76),3)
| ( X77 = X78 )
| ( X75 = X76 )
| ( 10 != a(X76) )
| ( 5 != b(X75) )
| ( X76 = X78 )
| ( X75 = X78 ) )
& ! [X79: $int,X80: $int,X81: $int] :
( ( 5 != a(X79) )
| ( 12 != a(X80) )
| ( X79 = X81 )
| ( X80 = X81 )
| ( 2 != b(X81) )
| ~ $less(X81,X80)
| ( X79 = X80 )
| ( 10 != a(X81) )
| ( 5 != b(X80) ) )
& ! [X82: $int,X83: $int,X84: $int] :
( ( 5 != b(X83) )
| ~ $less(b(X84),3)
| ( 6 != a(X82) )
| ( X82 = X84 )
| ( 10 != a(X84) )
| ( X82 = X83 )
| ~ $less(X84,X83)
| ( X83 = X84 )
| ( 7 != a(X83) ) )
& ! [X85: $int,X86: $int,X87: $int] :
( ~ $less(b(X85),4)
| ( X85 = X87 )
| ( 5 != b(X86) )
| ( 1 != a(X86) )
| ( 10 != a(X87) )
| ( X86 = X87 )
| ~ $less(X87,X86)
| ( 7 != a(X85) )
| ( X85 = X86 )
| ( 2 != b(X87) ) )
& ( z2 != z3 )
& ! [X88: $int,X89: $int,X90: $int] :
( ( 7 != a(X89) )
| ~ $less(X90,X88)
| ( X88 = X89 )
| ( 10 != a(X90) )
| ( X88 = X90 )
| ( X89 = X90 )
| ( 2 != b(X89) )
| ( 5 != b(X88) )
| ~ $less(b(X90),3)
| ( 5 != a(X88) ) )
& ( z3 != z4 )
& ! [X91: $int,X92: $int,X93: $int,X94: $int] :
( ( X91 = X92 )
| ( X92 = X93 )
| ( 5 != a(X93) )
| ( 2 != b(X93) )
| ~ $less(b(X91),3)
| ( X91 = X93 )
| ( 5 != a(X92) )
| ( X93 = X94 )
| ( X91 = X94 )
| ( 2 != b(X94) )
| ( 10 != a(X91) )
| ( X92 = X94 )
| ( 5 != b(X92) )
| ~ $less(X91,X92) )
& ! [X95: $int,X96: $int,X97: $int] :
( ( 2 != b(X96) )
| ( X95 = X97 )
| ( 5 != b(X95) )
| ( 4 != a(X97) )
| ( 4 != a(X95) )
| ( X96 = X97 )
| ( X95 = X96 )
| ~ $less(X96,X95)
| ( 10 != a(X96) ) )
& ! [X98: $int,X99: $int,X100: $int,X101: $int] :
( ( X98 = X99 )
| ( X98 = X100 )
| ( 8 != a(X101) )
| ( X100 = X101 )
| ( X99 = X101 )
| ~ $less(X99,X100)
| ( 10 != a(X99) )
| ( X98 = X101 )
| ~ $less(b(X99),3)
| ( 5 != a(X100) )
| ( X99 = X100 )
| ( 2 != b(X98) ) )
& ! [X102: $int,X103: $int,X104: $int] :
( ~ $less(b(X103),3)
| ( 10 != a(X103) )
| ( X103 = X104 )
| ~ $less(X103,X104)
| ( 7 != a(X104) )
| ( 8 != a(X102) )
| ( X102 = X104 )
| ( X102 = X103 ) )
& ! [X105: $int,X106: $int,X107: $int] :
( ( 10 != a(X107) )
| ( X105 = X107 )
| ( X106 = X107 )
| ( 5 != b(X106) )
| ( 2 != b(X107) )
| ( 4 != a(X105) )
| ~ $less(X107,X105)
| ( X105 = X106 ) )
& ! [X108: $int,X109: $int,X110: $int,X111: $int] :
( ( X110 = X111 )
| ( 10 != a(X108) )
| ( 5 != a(X111) )
| ~ $less(X108,X111)
| ( X108 = X110 )
| ( X108 = X111 )
| ( X109 = X111 )
| ( X109 = X110 )
| ( 2 != b(X109) )
| ( 5 != b(X110) )
| ~ $less(b(X108),3)
| ( X108 = X109 ) )
& ! [X112: $int,X113: $int,X114: $int] :
( ( 5 != b(X112) )
| ( X113 = X114 )
| ( 6 != a(X112) )
| ( 7 != a(X113) )
| ( 10 != a(X114) )
| ~ $less(b(X114),3)
| ~ $less(X114,X112)
| ( X112 = X113 )
| ( X112 = X114 ) )
& ! [X115: $int,X116: $int,X117: $int] :
( ( 5 != a(X116) )
| ( X115 = X116 )
| ( X116 = X117 )
| ( 2 != b(X115) )
| ( 10 != a(X115) )
| ( 5 != b(X117) )
| ~ $less(X115,X116)
| ( X115 = X117 ) )
& ! [X118: $int,X119: $int,X120: $int,X121: $int] :
( ( X119 = X121 )
| ( 2 != a(X121) )
| ( X120 = X121 )
| ~ $less(X118,X121)
| ( X118 = X120 )
| ( 2 != b(X120) )
| ( 7 != a(X120) )
| ( X119 = X120 )
| ( 5 != b(X119) )
| ( X118 = X121 )
| ~ $less(b(X118),3)
| ( 10 != a(X118) )
| ( X118 = X119 ) )
& ! [X122: $int,X123: $int,X124: $int,X125: $int] :
( ~ $less(b(X124),3)
| ( 2 != b(X123) )
| ( 5 != b(X122) )
| ( X123 = X124 )
| ( 10 != a(X124) )
| ( 4 != a(X125) )
| ( X122 = X125 )
| ( X122 = X124 )
| ( X123 = X125 )
| ~ $less(X124,X125)
| ( X122 = X123 )
| ( X124 = X125 ) )
& ( z2 != z4 )
& ! [X126: $int,X127: $int,X128: $int] :
( ( X126 = X127 )
| ( X126 = X128 )
| ( 5 != a(X126) )
| ( X127 = X128 )
| ( 2 != b(X128) )
| ~ $less(X128,X126)
| ( 10 != a(X128) )
| ( 5 != a(X127) )
| ( 5 != b(X126) ) )
& ! [X129: $int,X130: $int,X131: $int] :
( ( 10 != a(X129) )
| ( X130 = X131 )
| ( X129 = X131 )
| ( 5 != b(X131) )
| ( 2 != b(X129) )
| ~ $less(X129,X131)
| ( 6 != a(X131) )
| ( X129 = X130 )
| ( 4 != a(X130) ) )
& ( z3 != z5 )
& ! [X132: $int,X133: $int,X134: $int] :
( ( X132 = X134 )
| ( 6 != a(X133) )
| ( X132 = X133 )
| ( X133 = X134 )
| ( 5 != b(X132) )
| ~ $less(b(X134),3)
| ~ $less(X134,X133)
| ( 10 != a(X134) ) )
& ! [X135: $int,X136: $int,X137: $int,X138: $int] :
( ( 6 != a(X136) )
| ( X135 = X137 )
| ( X136 = X137 )
| ( 5 != a(X135) )
| ( X135 = X138 )
| ( 5 != b(X135) )
| ( 2 != b(X137) )
| ( X136 = X138 )
| ( X137 = X138 )
| ~ $less(X138,X135)
| ( X135 = X136 )
| ( 10 != a(X138) )
| ~ $less(b(X138),3) )
& ! [X139: $int,X140: $int,X141: $int] :
( ( 10 != a(X140) )
| ( 2 != b(X140) )
| ( X139 = X141 )
| ( 2 != a(X141) )
| ~ $less(X140,X141)
| ( 8 != a(X139) )
| ~ $less(b(X139),4)
| ( X139 = X140 )
| ( X140 = X141 ) )
& $less(b(z2),3)
& ( z1 != z3 )
& ! [X142: $int,X143: $int,X144: $int] :
( ~ $less(X144,X143)
| ( 5 != b(X143) )
| ( 5 != a(X142) )
| ( X142 = X144 )
| ( X142 = X143 )
| ( X143 = X144 )
| ( 10 != a(X144) )
| ( 2 != b(X144) )
| ( 6 != a(X143) ) )
& ! [X145: $int] :
( ~ $less(12,a(X145))
& ~ $less(a(X145),1) )
& ! [X146: $int,X147: $int] :
( ( X146 = X147 )
| ( 10 != a(X147) )
| ( 10 != a(X146) ) )
& ! [X148: $int,X149: $int,X150: $int] :
( ~ $less(X150,X148)
| ( 10 != a(X150) )
| ( X148 = X150 )
| ( X148 = X149 )
| ( 5 != b(X148) )
| ( 5 != a(X149) )
| ( X149 = X150 )
| ( 2 != a(X148) )
| ( 2 != b(X150) ) )
& ( b(z3) = 5 )
& ! [X151: $int,X152: $int,X153: $int] :
( ( 6 != a(X153) )
| ( X151 = X153 )
| ( 5 != b(X152) )
| ~ $less(X151,X152)
| ( 2 != b(X151) )
| ( X152 = X153 )
| ( 1 != a(X152) )
| ( X151 = X152 )
| ( 10 != a(X151) ) )
& ! [X154: $int,X155: $int,X156: $int] :
( ( X154 = X155 )
| ( 5 != b(X154) )
| ~ $less(X156,X154)
| ( 2 != b(X156) )
| ( X155 = X156 )
| ( X154 = X156 )
| ( 2 != a(X154) )
| ( 6 != a(X155) )
| ( 10 != a(X156) ) )
& ( z2 != z5 )
& ! [X157: $int,X158: $int,X159: $int,X160: $int] :
( ( X159 = X160 )
| ( X157 = X158 )
| ( X157 = X160 )
| ( X158 = X159 )
| ~ $less(X157,X159)
| ( X158 = X160 )
| ( 2 != a(X160) )
| ( X157 = X159 )
| ( 5 != b(X158) )
| ~ $less(b(X157),3)
| ( 10 != a(X157) )
| ( 4 != a(X159) ) )
& ! [X161: $int,X162: $int,X163: $int] :
( ~ $less(X162,X161)
| ( 2 != b(X163) )
| ( X161 = X163 )
| ( 8 != a(X163) )
| ( X161 = X162 )
| ~ $less(b(X162),3)
| ( 5 != a(X161) )
| ( X162 = X163 )
| ( 10 != a(X162) ) )
& ! [X164: $int,X165: $int,X166: $int] :
( ( X165 = X166 )
| ~ $less(b(X166),3)
| ( X164 = X166 )
| ( X164 = X165 )
| ( 10 != a(X166) )
| ( 7 != a(X165) )
| ( 5 != b(X164) )
| ~ $less(X166,X165) )
& ! [X167: $int,X168: $int,X169: $int,X170: $int] :
( ( X167 = X168 )
| ( 12 != a(X167) )
| ( 10 != a(X169) )
| ( 2 != b(X169) )
| ( X167 = X169 )
| ~ $less(X169,X167)
| ( 7 != a(X168) )
| ( X167 = X170 )
| ( X169 = X170 )
| ~ $less(b(X168),4)
| ( X168 = X170 )
| ( 5 != b(X170) )
| ( X168 = X169 ) )
& ! [X171: $int,X172: $int,X173: $int] :
( ( 10 != a(X171) )
| ( 5 != a(X172) )
| ( X172 = X173 )
| ( 2 != b(X171) )
| ( X171 = X173 )
| ( X171 = X172 )
| ~ $less(X171,X173)
| ( 5 != b(X173) )
| ( 4 != a(X173) ) )
& ! [X174: $int,X175: $int,X176: $int,X177: $int] :
( ( 2 != a(X174) )
| ( 7 != a(X176) )
| ( 5 != b(X177) )
| ( X175 = X176 )
| ( X176 = X177 )
| ~ $less(b(X176),4)
| ( 10 != a(X175) )
| ~ $less(X175,X174)
| ( X175 = X177 )
| ( 2 != b(X175) )
| ( X174 = X177 )
| ( X174 = X175 )
| ( X174 = X176 ) )
& ( b(z1) = 2 )
& ! [X178: $int,X179: $int,X180: $int,X181: $int] :
( ( X178 = X179 )
| ( 7 != a(X178) )
| ~ $less(b(X178),4)
| ( X179 = X180 )
| ( X178 = X180 )
| ( 5 != b(X181) )
| ~ $less(X180,X179)
| ( 2 != b(X180) )
| ( X178 = X181 )
| ( 10 != a(X180) )
| ( X180 = X181 )
| ~ $less(b(X179),4)
| ( 3 != a(X179) )
| ( X179 = X181 ) )
& ! [X182: $int,X183: $int,X184: $int] :
( ( 2 != b(X184) )
| ( 10 != a(X182) )
| ~ $less(b(X182),3)
| ( 8 != a(X184) )
| ( X183 = X184 )
| ( X182 = X184 )
| ~ $less(X182,X183)
| ( 1 != a(X183) )
| ( X182 = X183 ) )
& ! [X185: $int,X186: $int,X187: $int] :
( ( X186 = X187 )
| ( 10 != a(X187) )
| ( X185 = X186 )
| ( 1 != a(X185) )
| ( 2 != b(X186) )
| ( X185 = X187 )
| ~ $less(b(X187),3)
| ( 5 != b(X185) )
| ( 7 != a(X186) )
| ~ $less(X187,X185) )
& ( a(z4) = 2 )
& ! [X188: $int,X189: $int,X190: $int] :
( ( X189 = X190 )
| ~ $less(X189,X190)
| ( 8 != a(X188) )
| ( 2 != b(X188) )
| ( X188 = X189 )
| ( 3 != a(X190) )
| ( X188 = X190 )
| ( 10 != a(X189) )
| ~ $less(b(X190),4)
| ~ $less(b(X189),3) )
& ! [X191: $int,X192: $int,X193: $int] :
( ( 5 != b(X192) )
| ( 4 != a(X191) )
| ( X191 = X192 )
| ( X191 = X193 )
| ( 2 != b(X193) )
| ~ $less(X193,X192)
| ( 12 != a(X192) )
| ( 10 != a(X193) )
| ( X192 = X193 ) )
& ( a(z1) = 5 )
& ! [X194: $int,X195: $int,X196: $int] :
( ( 10 != a(X195) )
| ( X194 = X195 )
| ( 7 != a(X194) )
| ( 5 != b(X196) )
| ~ $less(X195,X196)
| ( X194 = X196 )
| ~ $less(b(X195),3)
| ( 7 != a(X196) )
| ( X195 = X196 ) )
& ! [X197: $int,X198: $int,X199: $int] :
( ( 2 != b(X198) )
| ~ $less(X198,X199)
| ( 1 != a(X199) )
| ( 10 != a(X198) )
| ( X197 = X198 )
| ( 5 != b(X199) )
| ( X197 = X199 )
| ( 4 != a(X197) )
| ( X198 = X199 ) )
& ! [X200: $int,X201: $int,X202: $int] :
( ~ $less(b(X201),3)
| ( 8 != a(X200) )
| ~ $less(X201,X202)
| ( 2 != b(X200) )
| ( X201 = X202 )
| ( 2 != a(X202) )
| ( X200 = X201 )
| ( 10 != a(X201) )
| ( X200 = X202 ) )
& $less(z2,z1)
& ! [X203: $int,X204: $int,X205: $int] :
( ( 5 != a(X203) )
| ( 5 != b(X205) )
| ( X203 = X204 )
| ( X204 = X205 )
| ( X203 = X205 )
| ~ $less(X204,X205)
| ( 2 != b(X204) )
| ( 10 != a(X204) )
| ( 7 != a(X205) ) )
& ! [X206: $int] :
( ~ $less(b(X206),1)
& ~ $less(5,b(X206)) )
& ! [X207: $int,X208: $int,X209: $int,X210: $int] :
( ( 6 != a(X209) )
| ( 2 != b(X210) )
| ( 10 != a(X207) )
| ~ $less(X207,X209)
| ( 5 != a(X208) )
| ( X207 = X209 )
| ( X207 = X208 )
| ( X209 = X210 )
| ( X208 = X209 )
| ( X207 = X210 )
| ( 5 != b(X209) )
| ( X208 = X210 )
| ~ $less(b(X207),3) )
& ! [X211: $int,X212: $int,X213: $int] :
( ~ $less(X211,X212)
| ( X211 = X212 )
| ( X211 = X213 )
| ( X212 = X213 )
| ( 12 != a(X212) )
| ( 8 != a(X213) )
| ( 2 != b(X211) )
| ~ $less(b(X213),4)
| ( 10 != a(X211) ) )
& ! [X214: $int,X215: $int,X216: $int] :
( ( 10 != a(X215) )
| ( 2 != b(X215) )
| ( 7 != a(X214) )
| ( 12 != a(X216) )
| ~ $less(X215,X216)
| ( X215 = X216 )
| ( X214 = X215 )
| ( X214 = X216 )
| ~ $less(b(X214),4)
| ( 5 != b(X216) ) )
& ! [X217: $int,X218: $int,X219: $int] :
( ( 2 != b(X218) )
| ( X218 = X219 )
| ( 10 != a(X217) )
| ( 7 != a(X218) )
| ( X217 = X218 )
| ( 5 != b(X219) )
| ~ $less(b(X217),3)
| ~ $less(X217,X219)
| ( X217 = X219 )
| ( 12 != a(X219) ) )
& ! [X220: $int,X221: $int,X222: $int,X223: $int] :
( ~ $less(X220,X221)
| ( 7 != a(X223) )
| ( X221 = X222 )
| ( X221 = X223 )
| ( X220 = X221 )
| ( 10 != a(X220) )
| ( 5 != b(X222) )
| ( X222 = X223 )
| ~ $less(b(X220),3)
| ( 2 != b(X223) )
| ( X220 = X222 )
| ( X220 = X223 )
| ( 1 != a(X221) ) )
& ! [X224: $int,X225: $int,X226: $int,X227: $int] :
( ( 2 != b(X226) )
| ( X224 = X225 )
| ( X226 = X227 )
| ( X225 = X226 )
| ( X224 = X226 )
| ( X225 = X227 )
| ( 5 != b(X225) )
| ( 12 != a(X224) )
| ~ $less(b(X227),3)
| ~ $less(X227,X224)
| ( 7 != a(X226) )
| ( 10 != a(X227) )
| ( X224 = X227 ) )
& ! [X228: $int,X229: $int] :
( ~ $less(X229,X228)
| ( X228 = X229 )
| ( 9 != a(X228) )
| ( 10 != a(X229) )
| ~ $less(b(X229),3) )
& ! [X230: $int,X231: $int,X232: $int] :
( ( X230 = X231 )
| ( 6 != a(X231) )
| ( X231 = X232 )
| ( 5 != a(X232) )
| ~ $less(X230,X232)
| ( 5 != b(X232) )
| ( 10 != a(X230) )
| ( 2 != b(X230) )
| ( X230 = X232 ) )
& ! [X233: $int,X234: $int,X235: $int] :
( ( X233 = X235 )
| ( 10 != a(X234) )
| ( X233 = X234 )
| ~ $less(b(X234),3)
| ~ $less(X234,X233)
| ( 5 != b(X233) )
| ( 6 != a(X233) )
| ( X234 = X235 )
| ( 6 != a(X235) ) )
& ! [X236: $int,X237: $int] :
( ~ $less(b(X236),3)
| ( X236 = X237 )
| ( 8 != a(X237) )
| ~ $less(X236,X237)
| ( 10 != a(X236) ) )
& ! [X238: $int,X239: $int,X240: $int,X241: $int] :
( ( 10 != a(X241) )
| ( X239 = X240 )
| ( 8 != a(X239) )
| ( X240 = X241 )
| ( X239 = X241 )
| ( 2 != b(X240) )
| ~ $less(X241,X238)
| ( X238 = X241 )
| ( X238 = X240 )
| ( X238 = X239 )
| ~ $less(b(X241),3)
| ( 4 != a(X238) ) )
& ! [X242: $int,X243: $int,X244: $int] :
( ~ $less(X244,X242)
| ( X243 = X244 )
| ( X242 = X243 )
| ( 7 != a(X242) )
| ( 4 != a(X243) )
| ( 2 != b(X244) )
| ( 5 != b(X242) )
| ( 10 != a(X244) )
| ( X242 = X244 ) )
& ! [X245: $int,X246: $int,X247: $int,X248: $int] :
( ( X247 = X248 )
| ( X246 = X247 )
| ( X245 = X246 )
| ( X246 = X248 )
| ( 5 != b(X246) )
| ( X245 = X247 )
| ( 2 != b(X245) )
| ( 4 != a(X247) )
| ~ $less(b(X248),3)
| ( 10 != a(X248) )
| ~ $less(X248,X247)
| ( 7 != a(X245) )
| ( X245 = X248 ) )
& ! [X249: $int,X250: $int,X251: $int] :
( ~ $less(X249,X250)
| ( X249 = X250 )
| ( 10 != a(X249) )
| ( 2 != b(X249) )
| ( X250 = X251 )
| ( 5 != a(X251) )
| ( 1 != a(X250) )
| ( 5 != b(X250) )
| ( X249 = X251 ) ) ),
inference(rectify,[],[f7]) ).
tff(f26,plain,
$less(z2,z1),
inference(cnf_transformation,[],[f8]) ).
tff(f30,plain,
5 = a(z1),
inference(cnf_transformation,[],[f8]) ).
tff(f33,plain,
2 = a(z4),
inference(cnf_transformation,[],[f8]) ).
tff(f47,plain,
5 = b(z3),
inference(cnf_transformation,[],[f8]) ).
tff(f53,plain,
z1 != z3,
inference(cnf_transformation,[],[f8]) ).
tff(f54,plain,
$less(b(z2),3),
inference(cnf_transformation,[],[f8]) ).
tff(f61,plain,
z2 != z4,
inference(cnf_transformation,[],[f8]) ).
tff(f72,plain,
z3 != z4,
inference(cnf_transformation,[],[f8]) ).
tff(f74,plain,
z2 != z3,
inference(cnf_transformation,[],[f8]) ).
tff(f86,plain,
z1 != z4,
inference(cnf_transformation,[],[f8]) ).
tff(f93,plain,
z1 != z2,
inference(cnf_transformation,[],[f8]) ).
tff(f97,plain,
! [X28: $int,X26: $int,X27: $int,X25: $int] :
( ~ $less(b(X28),3)
| ( 2 != a(X25) )
| ( X27 = X28 )
| ( X26 = X27 )
| ~ $less(X28,X27)
| ( 10 != a(X28) )
| ( X26 = X28 )
| ( X25 = X26 )
| ( 5 != b(X26) )
| ( 5 != a(X27) )
| ( X25 = X28 )
| ( X25 = X27 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f106,plain,
10 = a(z2),
inference(cnf_transformation,[],[f8]) ).
tff(f108,definition,
sF0 = a(z2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f109,plain,
a(z2) = sF0,
inference(reorient_equations,[],[f108]) ).
tff(f110,plain,
10 = sF0,
inference(definition_folding,[],[f106,f109]) ).
tff(f114,definition,
sF2 = b(z2),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f115,plain,
b(z2) = sF2,
inference(reorient_equations,[],[f114]) ).
tff(f116,plain,
$less(sF2,3),
inference(definition_folding,[],[f54,f115]) ).
tff(f117,definition,
sF3 = b(z3),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
tff(f118,plain,
b(z3) = sF3,
inference(reorient_equations,[],[f117]) ).
tff(f119,plain,
5 = sF3,
inference(definition_folding,[],[f47,f118]) ).
tff(f123,definition,
sF5 = a(z4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
tff(f124,plain,
a(z4) = sF5,
inference(reorient_equations,[],[f123]) ).
tff(f125,plain,
2 = sF5,
inference(definition_folding,[],[f33,f124]) ).
tff(f126,definition,
sF6 = a(z1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
tff(f127,plain,
a(z1) = sF6,
inference(reorient_equations,[],[f126]) ).
tff(f128,plain,
5 = sF6,
inference(definition_folding,[],[f30,f127]) ).
tff(f130,definition,
( spl7_1
<=> ( a(z2) = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
tff(f132,plain,
( ( a(z2) = sF0 )
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f130]) ).
tff(f133,plain,
spl7_1,
inference(avatar_split_clause,[],[f109,f130]) ).
tff(f135,definition,
( spl7_2
<=> ( 10 = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
tff(f137,plain,
( ( 10 = sF0 )
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f135]) ).
tff(f138,plain,
spl7_2,
inference(avatar_split_clause,[],[f110,f135]) ).
tff(f140,definition,
( spl7_3
<=> ( z1 = z4 ) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
tff(f142,plain,
( ( z1 != z4 )
| spl7_3 ),
inference(avatar_component_clause,[],[f140]) ).
tff(f143,plain,
~ spl7_3,
inference(avatar_split_clause,[],[f86,f140]) ).
tff(f145,definition,
( spl7_4
<=> $less(z2,z1) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
tff(f147,plain,
( $less(z2,z1)
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f145]) ).
tff(f148,plain,
spl7_4,
inference(avatar_split_clause,[],[f26,f145]) ).
tff(f150,definition,
( spl7_5
<=> ( a(z4) = sF5 ) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
tff(f152,plain,
( ( a(z4) = sF5 )
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f150]) ).
tff(f153,plain,
spl7_5,
inference(avatar_split_clause,[],[f124,f150]) ).
tff(f155,definition,
( spl7_6
<=> ( b(z2) = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
tff(f157,plain,
( ( b(z2) = sF2 )
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f155]) ).
tff(f158,plain,
spl7_6,
inference(avatar_split_clause,[],[f115,f155]) ).
tff(f160,definition,
( spl7_7
<=> ( 5 = sF6 ) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
tff(f162,plain,
( ( 5 = sF6 )
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f160]) ).
tff(f163,plain,
spl7_7,
inference(avatar_split_clause,[],[f128,f160]) ).
tff(f165,definition,
( spl7_8
<=> ( z1 = z2 ) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
tff(f167,plain,
( ( z1 != z2 )
| spl7_8 ),
inference(avatar_component_clause,[],[f165]) ).
tff(f168,plain,
~ spl7_8,
inference(avatar_split_clause,[],[f93,f165]) ).
tff(f175,definition,
( spl7_10
<=> $less(sF2,3) ),
introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition]) ).
tff(f177,plain,
( $less(sF2,3)
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f175]) ).
tff(f178,plain,
spl7_10,
inference(avatar_split_clause,[],[f116,f175]) ).
tff(f180,definition,
( spl7_11
<=> ( z2 = z4 ) ),
introduced(definition,[new_symbols(definition,[spl7_11])],[avatar_definition]) ).
tff(f182,plain,
( ( z2 != z4 )
| spl7_11 ),
inference(avatar_component_clause,[],[f180]) ).
tff(f183,plain,
~ spl7_11,
inference(avatar_split_clause,[],[f61,f180]) ).
tff(f205,definition,
( spl7_16
<=> ( z3 = z4 ) ),
introduced(definition,[new_symbols(definition,[spl7_16])],[avatar_definition]) ).
tff(f207,plain,
( ( z3 != z4 )
| spl7_16 ),
inference(avatar_component_clause,[],[f205]) ).
tff(f208,plain,
~ spl7_16,
inference(avatar_split_clause,[],[f72,f205]) ).
tff(f210,definition,
( spl7_17
<=> ( a(z1) = sF6 ) ),
introduced(definition,[new_symbols(definition,[spl7_17])],[avatar_definition]) ).
tff(f212,plain,
( ( a(z1) = sF6 )
| ~ spl7_17 ),
inference(avatar_component_clause,[],[f210]) ).
tff(f213,plain,
spl7_17,
inference(avatar_split_clause,[],[f127,f210]) ).
tff(f225,definition,
( spl7_20
<=> ( z2 = z3 ) ),
introduced(definition,[new_symbols(definition,[spl7_20])],[avatar_definition]) ).
tff(f227,plain,
( ( z2 != z3 )
| spl7_20 ),
inference(avatar_component_clause,[],[f225]) ).
tff(f228,plain,
~ spl7_20,
inference(avatar_split_clause,[],[f74,f225]) ).
tff(f235,definition,
( spl7_22
<=> ( 2 = sF5 ) ),
introduced(definition,[new_symbols(definition,[spl7_22])],[avatar_definition]) ).
tff(f237,plain,
( ( 2 = sF5 )
| ~ spl7_22 ),
inference(avatar_component_clause,[],[f235]) ).
tff(f238,plain,
spl7_22,
inference(avatar_split_clause,[],[f125,f235]) ).
tff(f240,definition,
( spl7_23
<=> ( 5 = sF3 ) ),
introduced(definition,[new_symbols(definition,[spl7_23])],[avatar_definition]) ).
tff(f242,plain,
( ( 5 = sF3 )
| ~ spl7_23 ),
inference(avatar_component_clause,[],[f240]) ).
tff(f243,plain,
spl7_23,
inference(avatar_split_clause,[],[f119,f240]) ).
tff(f245,definition,
( spl7_24
<=> ( z1 = z3 ) ),
introduced(definition,[new_symbols(definition,[spl7_24])],[avatar_definition]) ).
tff(f247,plain,
( ( z1 != z3 )
| spl7_24 ),
inference(avatar_component_clause,[],[f245]) ).
tff(f248,plain,
~ spl7_24,
inference(avatar_split_clause,[],[f53,f245]) ).
tff(f250,definition,
( spl7_25
<=> ( b(z3) = sF3 ) ),
introduced(definition,[new_symbols(definition,[spl7_25])],[avatar_definition]) ).
tff(f252,plain,
( ( b(z3) = sF3 )
| ~ spl7_25 ),
inference(avatar_component_clause,[],[f250]) ).
tff(f253,plain,
spl7_25,
inference(avatar_split_clause,[],[f118,f250]) ).
tff(f254,plain,
( ( 10 = a(z2) )
| ~ spl7_1
| ~ spl7_2 ),
inference(forward_demodulation,[],[f132,f137]) ).
tff(f256,definition,
( spl7_26
<=> ( 10 = a(z2) ) ),
introduced(definition,[new_symbols(definition,[spl7_26])],[avatar_definition]) ).
tff(f258,plain,
( ( 10 = a(z2) )
| ~ spl7_26 ),
inference(avatar_component_clause,[],[f256]) ).
tff(f259,plain,
( spl7_26
| ~ spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f254,f135,f130,f256]) ).
tff(f277,plain,
( ( 2 = a(z4) )
| ~ spl7_5
| ~ spl7_22 ),
inference(forward_demodulation,[],[f152,f237]) ).
tff(f279,definition,
( spl7_27
<=> ( 2 = a(z4) ) ),
introduced(definition,[new_symbols(definition,[spl7_27])],[avatar_definition]) ).
tff(f281,plain,
( ( 2 = a(z4) )
| ~ spl7_27 ),
inference(avatar_component_clause,[],[f279]) ).
tff(f282,plain,
( spl7_27
| ~ spl7_5
| ~ spl7_22 ),
inference(avatar_split_clause,[],[f277,f235,f150,f279]) ).
tff(f299,plain,
( $less(b(z2),3)
| ~ spl7_6
| ~ spl7_10 ),
inference(superposition,[],[f177,f157]) ).
tff(f301,definition,
( spl7_28
<=> $less(b(z2),3) ),
introduced(definition,[new_symbols(definition,[spl7_28])],[avatar_definition]) ).
tff(f303,plain,
( $less(b(z2),3)
| ~ spl7_28 ),
inference(avatar_component_clause,[],[f301]) ).
tff(f304,plain,
( spl7_28
| ~ spl7_6
| ~ spl7_10 ),
inference(avatar_split_clause,[],[f299,f175,f155,f301]) ).
tff(f639,plain,
( ( 5 = a(z1) )
| ~ spl7_7
| ~ spl7_17 ),
inference(forward_demodulation,[],[f212,f162]) ).
tff(f641,definition,
( spl7_76
<=> ( 5 = a(z1) ) ),
introduced(definition,[new_symbols(definition,[spl7_76])],[avatar_definition]) ).
tff(f643,plain,
( ( 5 = a(z1) )
| ~ spl7_76 ),
inference(avatar_component_clause,[],[f641]) ).
tff(f644,plain,
( spl7_76
| ~ spl7_7
| ~ spl7_17 ),
inference(avatar_split_clause,[],[f639,f210,f160,f641]) ).
tff(f661,plain,
( ( 5 = b(z3) )
| ~ spl7_23
| ~ spl7_25 ),
inference(forward_demodulation,[],[f252,f242]) ).
tff(f663,definition,
( spl7_77
<=> ( 5 = b(z3) ) ),
introduced(definition,[new_symbols(definition,[spl7_77])],[avatar_definition]) ).
tff(f665,plain,
( ( 5 = b(z3) )
| ~ spl7_77 ),
inference(avatar_component_clause,[],[f663]) ).
tff(f666,plain,
( spl7_77
| ~ spl7_23
| ~ spl7_25 ),
inference(avatar_split_clause,[],[f661,f250,f240,f663]) ).
tff(f756,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( X1 = X2 )
| ( z2 = X1 )
| ( z2 = X2 )
| ( z2 = X0 )
| ( X0 = X1 )
| ( 5 != a(X1) )
| ( 10 != a(z2) )
| ( a(X0) != 2 )
| ( 5 != b(X2) )
| ( X0 = X2 )
| ~ $less(z2,X1) )
| ~ spl7_28 ),
inference(resolution,[],[f97,f303]) ).
tff(f760,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( 5 != b(X2) )
| ( z2 = X2 )
| ( a(X0) != 2 )
| ( z2 = X0 )
| ( X0 = X1 )
| ( z2 = X1 )
| ( X0 = X2 )
| ( 5 != a(X1) )
| ( X1 = X2 )
| ~ $less(z2,X1) )
| ~ spl7_26
| ~ spl7_28 ),
inference(forward_subsumption_resolution,[],[f756,f258]) ).
tff(f986,plain,
( ! [X0: $int,X1: $int] :
( ( z2 = X0 )
| ( z3 = X1 )
| ~ $less(z2,X1)
| ( 5 != a(X1) )
| ( a(X0) != 2 )
| ( z2 = z3 )
| ( X0 = X1 )
| ( z3 = X0 )
| ( z2 = X1 )
| ( 5 != 5 ) )
| ~ spl7_26
| ~ spl7_28
| ~ spl7_77 ),
inference(superposition,[],[f760,f665]) ).
tff(f987,plain,
( ! [X0: $int,X1: $int] :
( ( X0 = X1 )
| ( z2 = z3 )
| ( z2 = X0 )
| ( z3 = X0 )
| ~ $less(z2,X1)
| ( a(X0) != 2 )
| ( 5 != a(X1) )
| ( z2 = X1 )
| ( z3 = X1 ) )
| ~ spl7_26
| ~ spl7_28
| ~ spl7_77 ),
inference(trivial_inequality_removal,[],[f986]) ).
tff(f988,plain,
( ! [X0: $int,X1: $int] :
( ( 5 != a(X1) )
| ~ $less(z2,X1)
| ( X0 = X1 )
| ( z2 = X1 )
| ( z2 = X0 )
| ( a(X0) != 2 )
| ( z3 = X1 )
| ( z3 = X0 ) )
| spl7_20
| ~ spl7_26
| ~ spl7_28
| ~ spl7_77 ),
inference(forward_subsumption_resolution,[],[f987,f227]) ).
tff(f1003,plain,
( ! [X0: $int] :
( ~ $less(z2,z1)
| ( z3 = X0 )
| ( a(X0) != 2 )
| ( z1 = z2 )
| ( z2 = X0 )
| ( z1 = z3 )
| ( 5 != 5 )
| ( z1 = X0 ) )
| spl7_20
| ~ spl7_26
| ~ spl7_28
| ~ spl7_76
| ~ spl7_77 ),
inference(superposition,[],[f988,f643]) ).
tff(f1005,plain,
( ! [X0: $int] :
( ~ $less(z2,z1)
| ( z1 = X0 )
| ( z3 = X0 )
| ( z1 = z2 )
| ( z1 = z3 )
| ( a(X0) != 2 )
| ( z2 = X0 ) )
| spl7_20
| ~ spl7_26
| ~ spl7_28
| ~ spl7_76
| ~ spl7_77 ),
inference(trivial_inequality_removal,[],[f1003]) ).
tff(f1006,plain,
( ! [X0: $int] :
( ( a(X0) != 2 )
| ( z1 = z3 )
| ( z3 = X0 )
| ( z1 = z2 )
| ( z2 = X0 )
| ( z1 = X0 ) )
| ~ spl7_4
| spl7_20
| ~ spl7_26
| ~ spl7_28
| ~ spl7_76
| ~ spl7_77 ),
inference(forward_subsumption_resolution,[],[f1005,f147]) ).
tff(f1007,plain,
( ! [X0: $int] :
( ( z2 = X0 )
| ( z1 = X0 )
| ( a(X0) != 2 )
| ( z1 = z2 )
| ( z3 = X0 ) )
| ~ spl7_4
| spl7_20
| spl7_24
| ~ spl7_26
| ~ spl7_28
| ~ spl7_76
| ~ spl7_77 ),
inference(forward_subsumption_resolution,[],[f1006,f247]) ).
tff(f1008,plain,
( ! [X0: $int] :
( ( a(X0) != 2 )
| ( z1 = X0 )
| ( z3 = X0 )
| ( z2 = X0 ) )
| ~ spl7_4
| spl7_8
| spl7_20
| spl7_24
| ~ spl7_26
| ~ spl7_28
| ~ spl7_76
| ~ spl7_77 ),
inference(forward_subsumption_resolution,[],[f1007,f167]) ).
tff(f1014,plain,
( ( z1 = z4 )
| ( z2 = z4 )
| ( 2 != 2 )
| ( z3 = z4 )
| ~ spl7_4
| spl7_8
| spl7_20
| spl7_24
| ~ spl7_26
| ~ spl7_27
| ~ spl7_28
| ~ spl7_76
| ~ spl7_77 ),
inference(superposition,[],[f1008,f281]) ).
tff(f1015,plain,
( ( z2 = z4 )
| ( z1 = z4 )
| ( z3 = z4 )
| ~ spl7_4
| spl7_8
| spl7_20
| spl7_24
| ~ spl7_26
| ~ spl7_27
| ~ spl7_28
| ~ spl7_76
| ~ spl7_77 ),
inference(trivial_inequality_removal,[],[f1014]) ).
tff(f1016,plain,
( ( z1 = z4 )
| ( z3 = z4 )
| ~ spl7_4
| spl7_8
| spl7_11
| spl7_20
| spl7_24
| ~ spl7_26
| ~ spl7_27
| ~ spl7_28
| ~ spl7_76
| ~ spl7_77 ),
inference(forward_subsumption_resolution,[],[f1015,f182]) ).
tff(f1017,plain,
( ( z3 = z4 )
| spl7_3
| ~ spl7_4
| spl7_8
| spl7_11
| spl7_20
| spl7_24
| ~ spl7_26
| ~ spl7_27
| ~ spl7_28
| ~ spl7_76
| ~ spl7_77 ),
inference(forward_subsumption_resolution,[],[f1016,f142]) ).
tff(f1018,plain,
( $false
| spl7_3
| ~ spl7_4
| spl7_8
| spl7_11
| spl7_16
| spl7_20
| spl7_24
| ~ spl7_26
| ~ spl7_27
| ~ spl7_28
| ~ spl7_76
| ~ spl7_77 ),
inference(forward_subsumption_resolution,[],[f1017,f207]) ).
tff(f1019,plain,
( spl7_3
| ~ spl7_4
| spl7_8
| spl7_11
| spl7_16
| spl7_20
| spl7_24
| ~ spl7_26
| ~ spl7_27
| ~ spl7_28
| ~ spl7_76
| ~ spl7_77 ),
inference(avatar_contradiction_clause,[],[f1018]) ).
tff(f1020,plain,
$false,
inference(avatar_smt_refutation,[],[f1019,f666,f644,f304,f282,f259,f253,f248,f243,f238,f228,f213,f208,f183,f178,f168,f163,f158,f153,f148,f143,f138,f133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW000_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 % Computer : n019.cluster.edu
% 0.09/0.25 % Model : x86_64 x86_64
% 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.25 % Memory : 8046.5625MB
% 0.09/0.25 % OS : Linux 6.8.0-71-generic
% 0.09/0.25 % CPULimit : 300
% 0.09/0.25 % WCLimit : 300
% 0.09/0.25 % DateTime : Mon Sep 28 13:07:34 UTC 2026
% 0.09/0.25 % CPUTime :
% 0.09/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.29 Running first-order theorem proving
% 0.18/0.29 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.61/1.05 % (3987840)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.61/1.05 % (3987846)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2755943659:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.61/1.05 % (3987850)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4254722648:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.61/1.05 % (3987851)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3744333369:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.61/1.05 % (3987848)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3742249495:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.61/1.05 % (3987849)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1316352995:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.61/1.05 % (3987845)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3867146594:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.61/1.05 % (3987847)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3894893026:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.61/1.05 % (3987846)First to succeed.
% 2.61/1.05 % (3987849)Instruction limit reached!
% 2.61/1.05 % (3987849)------------------------------
% 2.61/1.05 % (3987849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.05 % (3987849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.05 % (3987849)CaDiCaL version: 2.1.3
% 2.61/1.05 % (3987849)Termination reason: Instruction limit
% 2.61/1.05 % (3987849)Termination phase: Preprocessing 1
% 2.61/1.05 % (3987849)Time elapsed: 0.002 s
% 2.61/1.05 % (3987849)Peak memory usage: 85 MB
% 2.61/1.05 % (3987849)Instructions burned: 4 (million)
% 2.61/1.05 % (3987848)Instruction limit reached!
% 2.61/1.05 % (3987848)------------------------------
% 2.61/1.05 % (3987848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.05 % (3987848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.05 % (3987848)CaDiCaL version: 2.1.3
% 2.61/1.05 % (3987848)Termination reason: Instruction limit
% 2.61/1.05 % (3987848)Termination phase: Preprocessing 2
% 2.61/1.05 % (3987848)Time elapsed: 0.004 s
% 2.61/1.05 % (3987848)Peak memory usage: 86 MB
% 2.61/1.05 % (3987848)Instructions burned: 8 (million)
% 2.61/1.05 % (3987845)Instruction limit reached!
% 2.61/1.05 % (3987845)------------------------------
% 2.61/1.05 % (3987845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.05 % (3987845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.05 % (3987845)CaDiCaL version: 2.1.3
% 2.61/1.05 % (3987845)Termination reason: Instruction limit
% 2.61/1.05 % (3987845)Termination phase: Property scanning
% 2.61/1.05 % (3987845)Time elapsed: 0.006 s
% 2.61/1.05 % (3987845)Peak memory usage: 86 MB
% 2.61/1.05 % (3987845)Instructions burned: 13 (million)
% 2.61/1.05 % (3987846)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3987840"
% 2.61/1.05 % (3987851)Instruction limit reached!
% 2.61/1.05 % (3987851)------------------------------
% 2.61/1.05 % (3987851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.05 % (3987851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.05 % (3987851)CaDiCaL version: 2.1.3
% 2.61/1.05 % (3987851)Termination reason: Instruction limit
% 2.61/1.05 % (3987851)Termination phase: Saturation
% 2.61/1.05 % (3987851)Time elapsed: 0.038 s
% 2.61/1.05 % (3987851)Peak memory usage: 112 MB
% 2.61/1.05 % (3987851)Instructions burned: 33 (million)
% 2.61/1.05 % (3987850)Instruction limit reached!
% 2.61/1.05 % (3987850)------------------------------
% 2.61/1.05 % (3987850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.05 % (3987850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.05 % (3987850)CaDiCaL version: 2.1.3
% 2.61/1.05 % (3987850)Termination reason: Instruction limit
% 2.61/1.05 % (3987850)Termination phase: Saturation
% 2.61/1.05 % (3987850)Time elapsed: 0.047 s
% 2.61/1.05 % (3987850)Peak memory usage: 116 MB
% 2.61/1.05 % (3987850)Instructions burned: 47 (million)
% 2.61/1.05 % (3987847)Also succeeded, but the first one will report.
% 2.61/1.05 % (3987859)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1114582310:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.61/1.05 % (3987861)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2695620366:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 2.61/1.05 % (3987860)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3820389705:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.61/1.05 % (3987859)Instruction limit reached!
% 2.61/1.05 % (3987859)------------------------------
% 2.61/1.05 % (3987859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.05 % (3987859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.05 % (3987859)CaDiCaL version: 2.1.3
% 2.61/1.05 % (3987859)Termination reason: Instruction limit
% 2.61/1.05 % (3987859)Termination phase: Saturation
% 2.61/1.05 % (3987859)Time elapsed: 0.008 s
% 2.61/1.05 % (3987859)Peak memory usage: 88 MB
% 2.61/1.05 % (3987859)Instructions burned: 14 (million)
% 2.61/1.05 % (3987861)Instruction limit reached!
% 2.61/1.05 % (3987861)------------------------------
% 2.61/1.05 % (3987861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.05 % (3987861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.05 % (3987861)CaDiCaL version: 2.1.3
% 2.61/1.05 % (3987861)Termination reason: Instruction limit
% 2.61/1.05 % (3987861)Termination phase: Saturation
% 2.61/1.05 % (3987861)Time elapsed: 0.009 s
% 2.61/1.05 % (3987861)Peak memory usage: 89 MB
% 2.61/1.05 % (3987861)Instructions burned: 16 (million)
% 2.61/1.05 % (3987860)Instruction limit reached!
% 2.61/1.05 % (3987860)------------------------------
% 2.61/1.05 % (3987860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.05 % (3987860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.05 % (3987860)CaDiCaL version: 2.1.3
% 2.61/1.05 % (3987860)Termination reason: Instruction limit
% 2.61/1.05 % (3987860)Termination phase: Saturation
% 2.61/1.05 % (3987860)Time elapsed: 0.017 s
% 2.61/1.05 % (3987860)Peak memory usage: 88 MB
% 2.61/1.05 % (3987860)Instructions burned: 30 (million)
% 2.61/1.05 % (3987846)Refutation found. Thanks to Tanya!
% 2.61/1.05 % SZS status Theorem for theBenchmark
% 2.61/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 2.91/1.23 % (3987846)------------------------------
% 2.91/1.23 % (3987846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.23 % (3987846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.23 % (3987846)CaDiCaL version: 2.1.3
% 2.91/1.23 % (3987846)Termination reason: Refutation
% 2.91/1.23 % (3987846)Time elapsed: 0.057 s
% 2.91/1.23 % (3987846)Peak memory usage: 118 MB
% 2.91/1.23 % (3987846)Instructions burned: 141 (million)
% 2.91/1.23 % (3987846)------------------------------
% 2.91/1.23 % (3987846)------------------------------
% 2.91/1.23 % (3987840)Success in time 0.327 s
% 2.91/1.23 % Vampire exiting
%------------------------------------------------------------------------------