%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW005_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 : n004.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 01:27:56 PM UTC 2026
% Result : Theorem 3.05s 0.98s
% Output : Refutation 4.28s
% 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 : 7575 (6096 equ)
% Maximal formula atoms : 901 ( 61 avg)
% Number of connectives : 11480 (4029 ~;2612 |;4812 &)
% ( 22 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 122 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 7340 (1281 atm; 0 fun;3735 num;2324 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 : 24 ( 13 usr; 22 con; 0-1 aty)
% Number of variables : 2324 (2324 !; 0 ?;2324 :)
% 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(f1,conjecture,
( ( ( z2 != z3 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 7 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( b(X1) = 2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( X2 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X3 )
& ( b(X3) = 2 )
& ( b(X2) = 5 )
& $less(X1,X0)
& ( X0 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( a(X0) = 7 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( b(X3) = 2 )
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(b(X2),4)
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 6 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0) )
& ! [X0: $int] :
( $lesseq(a(X0),12)
& $lesseq(1,a(X0)) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 12 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X2) = 6 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X0) = 7 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X1 != X3 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( X0 != X3 )
& ( X0 != X2 )
& $less(b(X2),4)
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( b(X3) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( X0 != X3 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( b(X3) = 5 )
& ( X2 != X3 )
& $less(b(X2),4)
& ( a(X0) = 1 )
& ( a(X2) = 7 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X0 != X2 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( b(X3) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( X1 != X3 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X1 != X2 )
& ( a(X2) = 8 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ( z2 != z4 )
& ( z3 != z5 )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X1 != X2 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( X0 != X3 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X2 != X3 ) )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& ( b(X3) = 2 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( a(X0) = 6 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X2 != X3 ) )
& ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X2),4)
& ( X1 != X3 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X2 != X3 )
& ( b(X3) = 5 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 7 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X0) = 6 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 5 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X3: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X2 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( a(X0) = 2 )
& ( X0 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X0) = 6 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X3 )
& ( b(X2) = 5 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X3) = 2 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( a(X3) = 1 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X2 != X3 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( X1 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X2) = 6 )
& ( X0 != X2 ) )
& ( z2 != z5 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 6 ) )
& ! [X2: $int,X0: $int,X3: $int,X1: $int] :
~ ( ( X2 != X3 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X3) = 2 )
& ( a(X0) = 5 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(b(X0),4)
& ( a(X0) = 3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X2) = 2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 4 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X2) = 2 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X0) = 6 )
& ( b(X2) = 5 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( b(X2) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X3: $int,X0: $int] :
~ ( ( b(X3) = 2 )
& ( X0 != X3 )
& ( a(X0) = 7 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( X2 != X3 )
& ( X1 != X2 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( b(X3) = 2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X1 != X3 )
& $less(b(X1),3) )
& ! [X0: $int] :
( $lesseq(b(X0),5)
& $lesseq(1,b(X0)) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( b(X2) = 2 )
& ( X0 != X1 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X0 != X3 )
& ( a(X0) = 3 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X0),4)
& ( b(X3) = 5 ) )
& $true
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 4 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 4 )
& ( a(X1) = 10 )
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X2),4) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X3: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( b(X3) = 5 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( X0 != X3 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( X0 != X1 ) )
& ( z4 != z5 )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X2) = 5 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( X0 != X3 )
& ( b(X3) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( b(X3) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X3) = 2 )
& $less(X1,X0)
& ( X0 != X3 ) )
& ! [X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 10 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X1 != X3 )
& ( a(X3) = 2 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(b(X0),4)
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( a(X0) = 3 )
& $less(X1,X0) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X1 != X2 )
& $less(b(X0),4)
& ( a(X0) = 3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X2),4)
& ( X0 != X3 )
& ( b(X3) = 2 )
& ( X2 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& $less(X1,X0)
& $less(b(X2),4)
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X1 )
& ( a(X2) = 8 )
& ( a(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( a(X1) = 10 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( b(X3) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 5 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 1 )
& ( b(X2) = 2 ) )
& ( z1 != z5 )
& ( z1 != z2 )
& ! [X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( a(X0) = 8 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X0) = 2 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ( z1 != z3 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(b(X2),4)
& ( a(X2) = 8 )
& ( a(X0) = 12 )
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& ( X0 != X1 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( b(X2) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& ( X0 != X3 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0) )
& ( z1 != z4 )
& ! [X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 9 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X1 != X3 )
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 7 )
& ( X0 != X2 )
& ( a(X3) = 2 )
& ( X0 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( X2 != X3 )
& ( b(X3) = 5 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 1 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( b(X2) = 2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( a(X0) = 1 )
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X2 != X3 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( b(X3) = 2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 5 )
& ( a(X0) = 1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( a(X3) = 1 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X2) = 5 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X2: $int,X0: $int,X3: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X2 != X3 )
& ( b(X3) = 2 )
& ( X1 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X2) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( b(X1) = 2 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( b(X3) = 5 )
& ( a(X2) = 7 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X1 != X3 )
& $less(b(X2),4)
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X2) = 5 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( b(X0) = 5 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X3 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( a(X2) = 6 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X2) = 6 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 7 ) )
& ( z3 != z4 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 1 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(b(X2),4)
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X2) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X3: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X3) = 12 )
& ( X0 != X3 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X2 != X3 )
& ( X1 != X3 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( b(X2) = 5 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( a(X0) = 4 )
& ( X0 != X3 )
& $less(X1,X0)
& ( a(X3) = 1 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 ) ) )
=> ~ ( ( a(z1) = 4 )
& ( a(z3) = 7 )
& ( b(z4) = 5 )
& ( a(z2) = 10 )
& $less(z2,z1)
& $less(b(z2),3)
& ( b(z3) = 2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).
tff(f2,negated_conjecture,
~ ( ( ( z2 != z3 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 7 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( b(X1) = 2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( X2 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X3 )
& ( b(X3) = 2 )
& ( b(X2) = 5 )
& $less(X1,X0)
& ( X0 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( a(X0) = 7 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( b(X3) = 2 )
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(b(X2),4)
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 6 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0) )
& ! [X0: $int] :
( $lesseq(a(X0),12)
& $lesseq(1,a(X0)) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 12 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X2) = 6 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X0) = 7 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X1 != X3 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( X0 != X3 )
& ( X0 != X2 )
& $less(b(X2),4)
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( b(X3) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( X0 != X3 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( b(X3) = 5 )
& ( X2 != X3 )
& $less(b(X2),4)
& ( a(X0) = 1 )
& ( a(X2) = 7 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X0 != X2 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( b(X3) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( X1 != X3 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X1 != X2 )
& ( a(X2) = 8 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ( z2 != z4 )
& ( z3 != z5 )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X1 != X2 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( X0 != X3 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X2 != X3 ) )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& ( b(X3) = 2 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( a(X0) = 6 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X2 != X3 ) )
& ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X2),4)
& ( X1 != X3 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X2 != X3 )
& ( b(X3) = 5 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 7 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X0) = 6 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 5 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X3: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X2 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( a(X0) = 2 )
& ( X0 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X0) = 6 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X3 )
& ( b(X2) = 5 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X3) = 2 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( a(X3) = 1 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X2 != X3 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( X1 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X2) = 6 )
& ( X0 != X2 ) )
& ( z2 != z5 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 6 ) )
& ! [X2: $int,X0: $int,X3: $int,X1: $int] :
~ ( ( X2 != X3 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X3) = 2 )
& ( a(X0) = 5 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(b(X0),4)
& ( a(X0) = 3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X2) = 2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 4 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X2) = 2 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X0) = 6 )
& ( b(X2) = 5 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( b(X2) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X3: $int,X0: $int] :
~ ( ( b(X3) = 2 )
& ( X0 != X3 )
& ( a(X0) = 7 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( X2 != X3 )
& ( X1 != X2 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( b(X3) = 2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X1 != X3 )
& $less(b(X1),3) )
& ! [X0: $int] :
( $lesseq(b(X0),5)
& $lesseq(1,b(X0)) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( b(X2) = 2 )
& ( X0 != X1 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X0 != X3 )
& ( a(X0) = 3 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X0),4)
& ( b(X3) = 5 ) )
& $true
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 4 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 4 )
& ( a(X1) = 10 )
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X2),4) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X3: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( b(X3) = 5 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( X0 != X3 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( X0 != X1 ) )
& ( z4 != z5 )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X2) = 5 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( X0 != X3 )
& ( b(X3) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( b(X3) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X3) = 2 )
& $less(X1,X0)
& ( X0 != X3 ) )
& ! [X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 10 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X1 != X3 )
& ( a(X3) = 2 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(b(X0),4)
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( a(X0) = 3 )
& $less(X1,X0) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X1 != X2 )
& $less(b(X0),4)
& ( a(X0) = 3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X2),4)
& ( X0 != X3 )
& ( b(X3) = 2 )
& ( X2 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& $less(X1,X0)
& $less(b(X2),4)
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X1 )
& ( a(X2) = 8 )
& ( a(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( a(X1) = 10 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( b(X3) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 5 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 1 )
& ( b(X2) = 2 ) )
& ( z1 != z5 )
& ( z1 != z2 )
& ! [X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( a(X0) = 8 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X0) = 2 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ( z1 != z3 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(b(X2),4)
& ( a(X2) = 8 )
& ( a(X0) = 12 )
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& ( X0 != X1 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( b(X2) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& ( X0 != X3 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0) )
& ( z1 != z4 )
& ! [X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 9 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X1 != X3 )
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 7 )
& ( X0 != X2 )
& ( a(X3) = 2 )
& ( X0 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( X2 != X3 )
& ( b(X3) = 5 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 1 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( b(X2) = 2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( a(X0) = 1 )
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X2 != X3 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( b(X3) = 2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 5 )
& ( a(X0) = 1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( a(X3) = 1 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X2) = 5 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X2: $int,X0: $int,X3: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X2 != X3 )
& ( b(X3) = 2 )
& ( X1 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X2) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( b(X1) = 2 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( b(X3) = 5 )
& ( a(X2) = 7 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X1 != X3 )
& $less(b(X2),4)
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X2) = 5 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( b(X0) = 5 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X3 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( a(X2) = 6 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X2) = 6 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 7 ) )
& ( z3 != z4 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 1 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(b(X2),4)
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X2) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X3: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X3) = 12 )
& ( X0 != X3 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X2 != X3 )
& ( X1 != X3 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( b(X2) = 5 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( a(X0) = 4 )
& ( X0 != X3 )
& $less(X1,X0)
& ( a(X3) = 1 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 ) ) )
=> ~ ( ( a(z1) = 4 )
& ( a(z3) = 7 )
& ( b(z4) = 5 )
& ( a(z2) = 10 )
& $less(z2,z1)
& $less(b(z2),3)
& ( b(z3) = 2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ( z2 != z3 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 7 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( b(X1) = 2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( X2 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X3 )
& ( b(X3) = 2 )
& ( b(X2) = 5 )
& $less(X1,X0)
& ( X0 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( a(X0) = 7 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( b(X3) = 2 )
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(b(X2),4)
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 6 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0) )
& ! [X0: $int] :
( ~ $less(12,a(X0))
& ~ $less(a(X0),1) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 12 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X2) = 6 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X0) = 7 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X1 != X3 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( X0 != X3 )
& ( X0 != X2 )
& $less(b(X2),4)
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( b(X3) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( X0 != X3 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( b(X3) = 5 )
& ( X2 != X3 )
& $less(b(X2),4)
& ( a(X0) = 1 )
& ( a(X2) = 7 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X0 != X2 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( b(X3) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( X1 != X3 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X1 != X2 )
& ( a(X2) = 8 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ( z2 != z4 )
& ( z3 != z5 )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X1 != X2 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( X0 != X3 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X2 != X3 ) )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& ( b(X3) = 2 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( a(X0) = 6 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X2 != X3 ) )
& ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X2),4)
& ( X1 != X3 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X2 != X3 )
& ( b(X3) = 5 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 7 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X0) = 6 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 5 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X3: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X2 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( a(X0) = 2 )
& ( X0 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X0) = 6 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X3 )
& ( b(X2) = 5 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X3) = 2 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( a(X3) = 1 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X2 != X3 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( X1 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X2) = 6 )
& ( X0 != X2 ) )
& ( z2 != z5 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 6 ) )
& ! [X2: $int,X0: $int,X3: $int,X1: $int] :
~ ( ( X2 != X3 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X3) = 2 )
& ( a(X0) = 5 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(b(X0),4)
& ( a(X0) = 3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X2) = 2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 4 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X2) = 2 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X0) = 6 )
& ( b(X2) = 5 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( b(X2) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X3: $int,X0: $int] :
~ ( ( b(X3) = 2 )
& ( X0 != X3 )
& ( a(X0) = 7 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( X2 != X3 )
& ( X1 != X2 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( b(X3) = 2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X1 != X3 )
& $less(b(X1),3) )
& ! [X0: $int] :
( ~ $less(5,b(X0))
& ~ $less(b(X0),1) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( b(X2) = 2 )
& ( X0 != X1 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X0 != X3 )
& ( a(X0) = 3 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X0),4)
& ( b(X3) = 5 ) )
& $true
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 4 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 4 )
& ( a(X1) = 10 )
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X2),4) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X3: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( b(X3) = 5 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( X0 != X3 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( X0 != X1 ) )
& ( z4 != z5 )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X2) = 5 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( X0 != X3 )
& ( b(X3) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( b(X3) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X3) = 2 )
& $less(X1,X0)
& ( X0 != X3 ) )
& ! [X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 10 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X1 != X3 )
& ( a(X3) = 2 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(b(X0),4)
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( a(X0) = 3 )
& $less(X1,X0) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X1 != X2 )
& $less(b(X0),4)
& ( a(X0) = 3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X2),4)
& ( X0 != X3 )
& ( b(X3) = 2 )
& ( X2 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& $less(X1,X0)
& $less(b(X2),4)
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X1 )
& ( a(X2) = 8 )
& ( a(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( a(X1) = 10 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( b(X3) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 5 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 1 )
& ( b(X2) = 2 ) )
& ( z1 != z5 )
& ( z1 != z2 )
& ! [X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( a(X0) = 8 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X0) = 2 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ( z1 != z3 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(b(X2),4)
& ( a(X2) = 8 )
& ( a(X0) = 12 )
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& ( X0 != X1 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( b(X2) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& ( X0 != X3 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0) )
& ( z1 != z4 )
& ! [X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 9 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X1 != X3 )
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 7 )
& ( X0 != X2 )
& ( a(X3) = 2 )
& ( X0 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( X2 != X3 )
& ( b(X3) = 5 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 1 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( b(X2) = 2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( a(X0) = 1 )
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X2 != X3 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( b(X3) = 2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 5 )
& ( a(X0) = 1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( a(X3) = 1 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X2) = 5 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X2: $int,X0: $int,X3: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X2 != X3 )
& ( b(X3) = 2 )
& ( X1 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X2) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( b(X1) = 2 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( b(X3) = 5 )
& ( a(X2) = 7 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X1 != X3 )
& $less(b(X2),4)
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X2) = 5 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( b(X0) = 5 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X3 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( a(X2) = 6 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X2) = 6 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 7 ) )
& ( z3 != z4 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 1 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(b(X2),4)
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X2) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X3: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X3) = 12 )
& ( X0 != X3 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X2 != X3 )
& ( X1 != X3 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( b(X2) = 5 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( a(X0) = 4 )
& ( X0 != X3 )
& $less(X1,X0)
& ( a(X3) = 1 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 ) ) )
=> ~ ( ( a(z1) = 4 )
& ( a(z3) = 7 )
& ( b(z4) = 5 )
& ( a(z2) = 10 )
& $less(z2,z1)
& $less(b(z2),3)
& ( b(z3) = 2 ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f4,plain,
~ ( ( ( z2 != z3 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( 12 = a(X2) )
& ( a(X0) = 7 )
& $less(b(X0),4)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( 5 = b(X2) )
& ( X0 != X1 )
& $less(X1,X2) )
& ! [X5: $int,X3: $int,X4: $int,X6: $int] :
~ ( ( X4 != X5 )
& ( X3 != X4 )
& ( X4 != X6 )
& ( 4 = a(X4) )
& ( X3 != X6 )
& $less(X3,X4)
& ( 5 = b(X6) )
& ( 2 = b(X5) )
& ( X5 != X6 )
& $less(b(X3),3)
& ( 10 = a(X3) )
& ( X3 != X5 ) )
& ! [X10: $int,X8: $int,X9: $int,X7: $int] :
~ ( ( X7 != X9 )
& ( X7 != X8 )
& ( X8 != X10 )
& ( 2 = b(X10) )
& ( 7 = a(X9) )
& ( 10 = a(X7) )
& ( X9 != X10 )
& $less(b(X7),3)
& ( 5 = a(X8) )
& ( X8 != X9 )
& ( 5 = b(X9) )
& $less(X7,X9)
& ( X7 != X10 ) )
& ! [X11: $int,X12: $int,X13: $int] :
~ ( $less(b(X12),4)
& ( 1 = a(X13) )
& ( X11 != X13 )
& $less(X11,X13)
& ( 8 = a(X12) )
& ( X12 != X13 )
& ( 2 = b(X11) )
& ( 10 = a(X11) )
& ( X11 != X12 ) )
& ! [X15: $int,X16: $int,X14: $int] :
~ ( $less(b(X16),3)
& ( X14 != X15 )
& ( 10 = a(X16) )
& ( X15 != X16 )
& $less(X16,X15)
& ( 6 = a(X15) )
& ( 8 = a(X14) )
& ( X14 != X16 ) )
& ! [X17: $int,X19: $int,X18: $int] :
~ ( ( X18 != X19 )
& ( 5 = b(X18) )
& ( X17 != X19 )
& ( 10 = a(X19) )
& ( 4 = a(X17) )
& ( 5 = a(X18) )
& $less(X19,X18)
& ( X17 != X18 )
& ( 2 = b(X19) ) )
& ! [X20: $int] :
( ~ $less(a(X20),1)
& ~ $less(12,a(X20)) )
& ! [X21: $int,X23: $int,X22: $int] :
~ ( ( 12 = a(X22) )
& ( 6 = a(X23) )
& ( 2 = b(X21) )
& ( X21 != X22 )
& ( X21 != X23 )
& ( 10 = a(X21) )
& ( 5 = b(X22) )
& $less(X21,X22)
& ( X22 != X23 ) )
& ! [X26: $int,X24: $int,X25: $int] :
~ ( ( X25 != X26 )
& ( X24 != X25 )
& ( 7 = a(X25) )
& $less(b(X24),3)
& ( 5 = b(X26) )
& ( X24 != X26 )
& $less(X24,X25)
& ( 10 = a(X24) ) )
& ! [X28: $int,X27: $int,X29: $int,X30: $int] :
~ ( ( X27 != X28 )
& ( 2 = b(X27) )
& ( 5 = b(X30) )
& ( X28 != X30 )
& ( X28 != X29 )
& ( X27 != X29 )
& ( 7 = a(X29) )
& ( 10 = a(X27) )
& ( X27 != X30 )
& ( 2 = a(X28) )
& $less(b(X29),4)
& ( X29 != X30 )
& $less(X27,X28) )
& ! [X32: $int,X33: $int,X31: $int] :
~ ( ( X31 != X33 )
& ( 10 = a(X33) )
& ( X32 != X33 )
& ( 7 = a(X32) )
& ( 4 = a(X31) )
& $less(X33,X31)
& ( 2 = b(X33) )
& ( 5 = b(X31) )
& ( X31 != X32 ) )
& ! [X36: $int,X34: $int,X35: $int,X37: $int] :
~ ( ( X34 != X37 )
& ( 5 = b(X37) )
& ( X35 != X37 )
& ( X34 != X35 )
& $less(b(X35),4)
& ( 10 = a(X36) )
& ( X34 != X36 )
& $less(X36,X34)
& ( 1 = a(X34) )
& ( 2 = b(X36) )
& ( X35 != X36 )
& ( X36 != X37 )
& ( 7 = a(X35) ) )
& ! [X40: $int,X41: $int,X38: $int,X39: $int] :
~ ( ( X39 != X41 )
& ( 4 = a(X38) )
& ( X40 != X41 )
& $less(X41,X38)
& ( 10 = a(X41) )
& ( X38 != X40 )
& ( X38 != X39 )
& ( X39 != X40 )
& $less(b(X41),3)
& ( 2 = b(X40) )
& ( X38 != X41 )
& ( 8 = a(X39) ) )
& ! [X44: $int,X43: $int,X42: $int] :
~ ( ( 4 = a(X44) )
& ( X42 != X44 )
& ( 8 = a(X42) )
& ( 2 = b(X43) )
& ( X43 != X44 )
& $less(X43,X44)
& ( 10 = a(X43) )
& ( X42 != X43 ) )
& ( z2 != z4 )
& ( z3 != z5 )
& ! [X47: $int,X48: $int,X45: $int,X46: $int] :
~ ( ( 8 = a(X48) )
& $less(b(X45),3)
& ( 2 = a(X46) )
& ( X46 != X47 )
& ( X46 != X48 )
& ( X47 != X48 )
& ( X45 != X46 )
& ( 4 = a(X47) )
& ( X45 != X48 )
& ( 10 = a(X45) )
& $less(X45,X47)
& ( X45 != X47 ) )
& ! [X51: $int,X52: $int,X50: $int,X49: $int] :
~ ( ( 6 = a(X50) )
& ( 10 = a(X51) )
& ( 5 = b(X50) )
& ( X51 != X52 )
& ( 5 = a(X52) )
& ( X49 != X50 )
& ( X49 != X51 )
& ( X50 != X51 )
& ( X49 != X52 )
& $less(X51,X50)
& ( X50 != X52 )
& ( 2 = b(X49) )
& $less(b(X51),3) )
& ! [X53: $int,X54: $int,X55: $int,X56: $int] :
~ ( ( 10 = a(X56) )
& ( X53 != X56 )
& ( 5 = b(X54) )
& ( X53 != X55 )
& $less(b(X55),4)
& $less(X56,X53)
& ( X55 != X56 )
& ( 2 = b(X56) )
& ( X54 != X56 )
& ( X54 != X55 )
& ( 12 = a(X53) )
& ( 7 = a(X55) )
& ( X53 != X54 ) )
& ! [X57: $int,X59: $int,X58: $int] :
~ ( ( 5 = a(X59) )
& ( 10 = a(X57) )
& $less(X57,X58)
& ( X57 != X59 )
& ( 5 = b(X58) )
& ( 2 = b(X57) )
& ( 6 = a(X58) )
& ( X58 != X59 )
& ( X57 != X58 ) )
& ! [X60: $int,X61: $int,X63: $int,X62: $int] :
~ ( ( X61 != X63 )
& ( 5 = a(X61) )
& ( 10 = a(X63) )
& ( X60 != X62 )
& ( 2 = b(X62) )
& $less(b(X63),3)
& ( X60 != X61 )
& ( X61 != X62 )
& ( X62 != X63 )
& ( X60 != X63 )
& $less(X63,X61)
& ( 8 = a(X60) ) )
& ! [X64: $int,X66: $int,X65: $int] :
~ ( ( 5 = b(X66) )
& ( X64 != X66 )
& ( 2 = b(X64) )
& ( 10 = a(X64) )
& ( X65 != X66 )
& $less(X64,X66)
& ( X64 != X65 )
& ( 5 = a(X65) )
& ( 2 = a(X66) ) )
& ! [X69: $int,X68: $int,X67: $int] :
~ ( $less(X67,X69)
& ( 6 = a(X69) )
& ( 10 = a(X67) )
& ( X67 != X68 )
& ( 2 = b(X67) )
& ( 5 = b(X69) )
& ( X68 != X69 )
& ( 4 = a(X68) )
& ( X67 != X69 ) )
& ! [X72: $int,X71: $int,X73: $int,X70: $int] :
~ ( ( 10 = a(X73) )
& ( X71 != X73 )
& ( X70 != X71 )
& ( X71 != X72 )
& ( 5 = b(X72) )
& ( X70 != X72 )
& ( 2 = a(X70) )
& $less(X73,X71)
& ( 4 = a(X71) )
& ( X70 != X73 )
& ( X72 != X73 )
& $less(b(X73),3) )
& ! [X77: $int,X76: $int,X74: $int,X75: $int] :
~ ( ( X76 != X77 )
& ( 10 = a(X77) )
& ( 1 = a(X75) )
& ( 5 = a(X76) )
& ( X74 != X75 )
& $less(b(X77),3)
& ( X75 != X76 )
& ( 8 = a(X74) )
& ( X75 != X77 )
& $less(X77,X76)
& ( X74 != X77 )
& ( X74 != X76 ) )
& ! [X79: $int,X78: $int,X80: $int] :
~ ( ( 5 = a(X79) )
& ( 10 = a(X78) )
& ( X78 != X80 )
& ( X78 != X79 )
& ( X79 != X80 )
& ( 6 = a(X80) )
& ( 5 = b(X79) )
& ( 2 = b(X78) )
& $less(X78,X79) )
& ( z2 != z5 )
& ! [X81: $int,X82: $int,X83: $int] :
~ ( ( X81 != X82 )
& ( X82 != X83 )
& ( 10 = a(X82) )
& ( 6 = a(X83) )
& $less(b(X82),3)
& $less(X82,X83)
& ( X81 != X83 )
& ( 5 = b(X83) )
& ( 7 = a(X81) ) )
& ! [X87: $int,X86: $int,X84: $int,X85: $int] :
~ ( ( X84 != X85 )
& ( X84 != X86 )
& ( X85 != X87 )
& ( 5 = a(X85) )
& ( X85 != X86 )
& ( X86 != X87 )
& ( X84 != X87 )
& ( 8 = a(X84) )
& ( 2 = a(X86) )
& $less(b(X87),3)
& ( 10 = a(X87) )
& $less(X87,X85) )
& ! [X89: $int,X88: $int,X90: $int] :
~ ( ( 10 = a(X88) )
& $less(b(X90),4)
& ( 3 = a(X90) )
& ( 2 = b(X89) )
& ( X88 != X89 )
& ( 8 = a(X89) )
& ( X88 != X90 )
& $less(X88,X90)
& $less(b(X88),3)
& ( X89 != X90 ) )
& ! [X92: $int,X91: $int,X93: $int] :
~ ( ( 4 = a(X92) )
& ( X92 != X93 )
& ( 5 = b(X93) )
& ( X91 != X92 )
& ( 10 = a(X91) )
& ( X91 != X93 )
& $less(X91,X92)
& ( 2 = b(X91) ) )
& ! [X96: $int,X95: $int,X94: $int] :
~ ( ( X94 != X96 )
& ( 2 = b(X94) )
& $less(b(X96),3)
& ( X94 != X95 )
& $less(X96,X95)
& ( 10 = a(X96) )
& ( 5 = a(X95) )
& ( X95 != X96 )
& ( 8 = a(X94) ) )
& ! [X97: $int,X99: $int,X98: $int] :
~ ( ( 10 = a(X98) )
& $less(b(X98),3)
& ( 12 = a(X99) )
& $less(X98,X99)
& ( X97 != X99 )
& ( 2 = b(X97) )
& ( X98 != X99 )
& ( 7 = a(X97) )
& ( 5 = b(X99) )
& ( X97 != X98 ) )
& ! [X100: $int,X101: $int,X102: $int] :
~ ( ( 4 = a(X100) )
& ( 5 = b(X100) )
& ( X100 != X102 )
& $less(b(X101),3)
& ( X100 != X101 )
& ( 10 = a(X101) )
& ( X101 != X102 )
& $less(X101,X100)
& ( 2 = b(X102) )
& ( 7 = a(X102) ) )
& ! [X103: $int,X105: $int,X104: $int] :
~ ( $less(X104,X103)
& ( 5 = b(X103) )
& ( 5 = a(X103) )
& ( 2 = b(X104) )
& ( X103 != X105 )
& ( 10 = a(X104) )
& ( 7 = a(X105) )
& ( X103 != X104 )
& ( X104 != X105 ) )
& ! [X106: $int,X107: $int,X108: $int] :
~ ( ( 5 = a(X107) )
& $less(X108,X107)
& ( 10 = a(X108) )
& $less(b(X108),3)
& ( X107 != X108 )
& ( 5 = b(X107) )
& ( X106 != X107 )
& ( 2 = b(X106) )
& ( X106 != X108 )
& ( 7 = a(X106) ) )
& ! [X109: $int,X111: $int,X110: $int] :
~ ( ( X109 != X110 )
& $less(b(X109),3)
& $less(X109,X111)
& ( 6 = a(X111) )
& ( X109 != X111 )
& ( 10 = a(X109) )
& ( X110 != X111 )
& ( 5 = b(X110) ) )
& ! [X112: $int,X113: $int,X114: $int] :
~ ( ( 2 = b(X113) )
& ( 5 = a(X112) )
& ( X113 != X114 )
& ( X112 != X114 )
& ( 5 = b(X114) )
& ( 10 = a(X113) )
& ( X112 != X113 )
& $less(X113,X112) )
& ! [X118: $int,X116: $int,X117: $int,X115: $int] :
~ ( $less(b(X115),3)
& ( 4 = a(X116) )
& ( X117 != X118 )
& ( X116 != X118 )
& ( X115 != X118 )
& ( 5 = b(X118) )
& ( 10 = a(X115) )
& ( 2 = b(X117) )
& ( 7 = a(X118) )
& ( X115 != X116 )
& $less(X115,X118)
& ( X116 != X117 )
& ( X115 != X117 ) )
& ! [X121: $int,X120: $int,X119: $int] :
~ ( $less(X119,X120)
& ( X120 != X121 )
& ( 12 = a(X120) )
& ( 4 = a(X121) )
& ( X119 != X120 )
& ( X119 != X121 )
& ( 2 = b(X119) )
& ( 5 = b(X120) )
& ( 10 = a(X119) ) )
& ! [X122: $int,X125: $int,X124: $int,X123: $int] :
~ ( ( 5 = a(X123) )
& ( X122 != X124 )
& ( X123 != X125 )
& ( X122 != X123 )
& ( 6 = a(X125) )
& ( 2 = b(X124) )
& ( X124 != X125 )
& ( X122 != X125 )
& ( 5 = b(X123) )
& $less(b(X122),3)
& ( X123 != X124 )
& ( 10 = a(X122) )
& $less(X122,X123) )
& ! [X126: $int] :
( ~ $less(5,b(X126))
& ~ $less(b(X126),1) )
& ! [X130: $int,X128: $int,X127: $int,X129: $int] :
~ ( ( 3 = a(X127) )
& ( 10 = a(X128) )
& ( 7 = a(X129) )
& ( X127 != X129 )
& $less(X128,X127)
& ( 5 = b(X130) )
& ( X128 != X129 )
& $less(b(X128),3)
& ( X127 != X128 )
& ( 2 = b(X129) )
& ( X127 != X130 )
& ( X128 != X130 )
& ( X129 != X130 )
& $less(b(X127),4) )
& $true
& ! [X132: $int,X133: $int,X131: $int] :
~ ( ( 4 = a(X132) )
& ( 5 = b(X133) )
& ( X131 != X133 )
& $less(X131,X133)
& ( 4 = a(X133) )
& ( X132 != X133 )
& ( X131 != X132 )
& ( 10 = a(X131) )
& ( 2 = b(X131) ) )
& ! [X136: $int,X134: $int,X135: $int] :
~ ( ( X134 != X136 )
& ( 10 = a(X135) )
& ( X135 != X136 )
& $less(X135,X134)
& ( 5 = a(X136) )
& ( X134 != X135 )
& ( 5 = b(X134) )
& ( 12 = a(X134) )
& ( 2 = b(X135) ) )
& ! [X137: $int,X139: $int,X138: $int] :
~ ( ( 2 = a(X138) )
& ( X137 != X138 )
& $less(X137,X138)
& ( X137 != X139 )
& ( 10 = a(X137) )
& ( 8 = a(X139) )
& ( X138 != X139 )
& $less(b(X139),4)
& ( 2 = b(X137) ) )
& ! [X141: $int,X142: $int,X140: $int] :
~ ( $less(b(X141),3)
& $less(X141,X142)
& ( 2 = b(X140) )
& ( 8 = a(X140) )
& ( X140 != X142 )
& ( X140 != X141 )
& ( X141 != X142 )
& ( 10 = a(X141) )
& ( 2 = a(X142) ) )
& ! [X144: $int,X145: $int,X146: $int,X143: $int] :
~ ( $less(X143,X146)
& $less(b(X143),3)
& ( X143 != X145 )
& ( X144 != X145 )
& ( X145 != X146 )
& ( X143 != X144 )
& ( X144 != X146 )
& ( 2 = b(X144) )
& ( 2 = a(X146) )
& ( 5 = b(X145) )
& ( 7 = a(X144) )
& ( X143 != X146 )
& ( 10 = a(X143) ) )
& ! [X147: $int,X149: $int,X148: $int] :
~ ( ( 5 = b(X148) )
& $less(b(X147),3)
& ( 5 = a(X148) )
& ( 10 = a(X147) )
& ( 2 = b(X149) )
& ( X148 != X149 )
& ( X147 != X149 )
& ( 6 = a(X149) )
& $less(X147,X148)
& ( X147 != X148 ) )
& ( z4 != z5 )
& ! [X151: $int,X152: $int,X150: $int,X153: $int] :
~ ( ( 2 = b(X153) )
& $less(b(X152),3)
& ( X152 != X153 )
& ( X151 != X153 )
& ( 5 = a(X153) )
& ( X150 != X153 )
& ( 5 = a(X151) )
& ( 2 = b(X150) )
& ( X151 != X152 )
& ( 10 = a(X152) )
& ( X150 != X151 )
& $less(X152,X151)
& ( X150 != X152 )
& ( 5 = b(X151) ) )
& ! [X154: $int,X156: $int,X155: $int,X157: $int] :
~ ( ( X154 != X156 )
& $less(X155,X157)
& ( X154 != X155 )
& ( X156 != X157 )
& ( 5 = b(X154) )
& ( X155 != X157 )
& ( 10 = a(X155) )
& ( X154 != X157 )
& ( 5 = a(X157) )
& ( 7 = a(X156) )
& $less(b(X155),3)
& ( 2 = a(X154) )
& ( X155 != X156 ) )
& ! [X158: $int,X159: $int] :
~ ( ( 10 = a(X158) )
& ( 10 = a(X159) )
& ( X158 != X159 ) )
& ! [X162: $int,X161: $int,X163: $int,X160: $int] :
~ ( ( X161 != X163 )
& ( 5 = a(X162) )
& ( X160 != X162 )
& $less(X163,X162)
& ( 7 = a(X160) )
& ( 2 = a(X161) )
& ( X160 != X163 )
& ( 5 = b(X162) )
& ( 10 = a(X163) )
& ( X161 != X162 )
& $less(b(X163),3)
& ( X160 != X161 )
& ( X162 != X163 ) )
& ! [X166: $int,X164: $int,X165: $int] :
~ ( $less(b(X165),4)
& ( X165 != X166 )
& $less(X166,X165)
& ( 2 = b(X166) )
& $less(b(X164),4)
& ( X164 != X165 )
& ( 3 = a(X165) )
& ( X164 != X166 )
& ( 10 = a(X166) )
& ( 8 = a(X164) ) )
& ! [X168: $int,X167: $int,X170: $int,X169: $int] :
~ ( ( X168 != X170 )
& ( 3 = a(X168) )
& ( X168 != X169 )
& ( X167 != X168 )
& $less(X170,X168)
& ( 8 = a(X169) )
& ( X169 != X170 )
& $less(b(X170),3)
& ( 2 = b(X167) )
& ( X167 != X169 )
& $less(b(X169),4)
& ( X167 != X170 )
& ( 10 = a(X170) )
& $less(b(X168),4) )
& ! [X172: $int,X171: $int,X173: $int] :
~ ( ( 5 = b(X171) )
& ( X172 != X173 )
& $less(b(X172),4)
& ( X171 != X173 )
& ( 7 = a(X172) )
& ( 2 = a(X171) )
& ( 2 = b(X173) )
& $less(X173,X171)
& ( X171 != X172 )
& ( 10 = a(X173) ) )
& ! [X176: $int,X175: $int,X174: $int] :
~ ( ( 5 = a(X175) )
& ( X174 != X175 )
& ( X174 != X176 )
& ( 10 = a(X176) )
& ( X175 != X176 )
& ( 2 = b(X176) )
& $less(X176,X175)
& ( 8 = a(X174) ) )
& ! [X179: $int,X180: $int,X178: $int,X177: $int] :
~ ( $less(X177,X178)
& ( 7 = a(X180) )
& ( 10 = a(X177) )
& ( X178 != X180 )
& ( 5 = b(X179) )
& ( X179 != X180 )
& ( X177 != X180 )
& ( X177 != X178 )
& ( X177 != X179 )
& ( X178 != X179 )
& ( 12 = a(X178) )
& $less(b(X177),3)
& ( 2 = b(X180) ) )
& ! [X183: $int,X182: $int,X181: $int] :
~ ( ( 5 = a(X183) )
& ( X181 != X182 )
& ( 10 = a(X182) )
& ( 2 = b(X182) )
& ( 5 = a(X181) )
& $less(X182,X183)
& ( X181 != X183 )
& ( 5 = b(X183) )
& ( X182 != X183 ) )
& ! [X185: $int,X184: $int,X186: $int] :
~ ( ( 1 = a(X185) )
& ( 10 = a(X186) )
& ( X185 != X186 )
& ( 7 = a(X184) )
& ( 2 = b(X184) )
& ( X184 != X185 )
& $less(b(X186),3)
& ( X184 != X186 )
& ( 5 = b(X185) )
& $less(X186,X185) )
& ( z1 != z5 )
& ( z1 != z2 )
& ! [X187: $int,X188: $int] :
~ ( ( X187 != X188 )
& $less(X187,X188)
& ( 10 = a(X187) )
& $less(b(X187),3)
& ( 8 = a(X188) ) )
& ! [X190: $int,X191: $int,X189: $int] :
~ ( ( 7 = a(X190) )
& ( 10 = a(X191) )
& ( X190 != X191 )
& ( 5 = b(X189) )
& ( 2 = b(X190) )
& ( X189 != X191 )
& $less(b(X191),3)
& ( 2 = a(X189) )
& ( X189 != X190 )
& $less(X191,X189) )
& ( z1 != z3 )
& ! [X194: $int,X193: $int,X192: $int] :
~ ( ( 10 = a(X192) )
& ( X192 != X194 )
& $less(X192,X193)
& ( 1 = a(X193) )
& ( 2 = b(X192) )
& ( X193 != X194 )
& ( 6 = a(X194) )
& ( X192 != X193 )
& ( 5 = b(X193) ) )
& ! [X196: $int,X195: $int,X197: $int] :
~ ( ( 8 = a(X195) )
& ( 12 = a(X196) )
& $less(X197,X196)
& ( X196 != X197 )
& ( 10 = a(X197) )
& ( X195 != X197 )
& ( X195 != X196 )
& ( 2 = b(X197) )
& $less(b(X195),4) )
& ! [X200: $int,X198: $int,X199: $int] :
~ ( ( X198 != X200 )
& ( X198 != X199 )
& ( X199 != X200 )
& ( 5 = b(X198) )
& ( 6 = a(X198) )
& $less(X200,X198)
& $less(b(X200),3)
& ( 6 = a(X199) )
& ( 10 = a(X200) ) )
& ! [X203: $int,X201: $int,X202: $int,X204: $int] :
~ ( ( X201 != X202 )
& $less(X203,X201)
& ( 5 = a(X201) )
& ( X202 != X204 )
& ( 10 = a(X203) )
& ( 5 = b(X204) )
& ( 2 = a(X202) )
& ( X203 != X204 )
& ( X201 != X204 )
& ( X201 != X203 )
& ( X202 != X203 )
& $less(b(X203),3) )
& ! [X207: $int,X206: $int,X205: $int] :
~ ( ( 10 = a(X206) )
& ( X205 != X207 )
& ( 5 = b(X205) )
& $less(X206,X205)
& ( 7 = a(X205) )
& ( X205 != X206 )
& ( 4 = a(X207) )
& ( 2 = b(X206) )
& ( X206 != X207 ) )
& ( z1 != z4 )
& ! [X208: $int,X209: $int] :
~ ( $less(b(X208),3)
& ( 9 = a(X209) )
& ( X208 != X209 )
& ( 10 = a(X208) )
& $less(X208,X209) )
& ! [X210: $int,X213: $int,X211: $int,X212: $int] :
~ ( $less(X213,X210)
& ( 10 = a(X213) )
& ( X211 != X212 )
& ( 5 = b(X210) )
& $less(b(X213),3)
& ( X210 != X212 )
& ( X212 != X213 )
& ( 2 = a(X212) )
& ( X211 != X213 )
& ( X210 != X213 )
& ( 7 = a(X210) )
& ( X210 != X211 )
& ( 5 = a(X211) ) )
& ! [X214: $int,X217: $int,X216: $int,X215: $int] :
~ ( ( X216 != X217 )
& ( X215 != X217 )
& ( X214 != X217 )
& $less(X214,X216)
& ( 5 = b(X217) )
& ( 1 = a(X216) )
& ( X215 != X216 )
& $less(b(X214),3)
& ( X214 != X216 )
& ( 2 = b(X215) )
& ( X214 != X215 )
& ( 10 = a(X214) )
& ( 7 = a(X215) ) )
& ! [X219: $int,X220: $int,X218: $int] :
~ ( ( 8 = a(X220) )
& ( 2 = b(X220) )
& ( 1 = a(X219) )
& ( 10 = a(X218) )
& ( X219 != X220 )
& ( X218 != X220 )
& ( X218 != X219 )
& $less(X218,X219)
& $less(b(X218),3) )
& ! [X223: $int,X222: $int,X224: $int,X221: $int] :
~ ( ( 5 = b(X223) )
& $less(b(X221),3)
& $less(X221,X223)
& ( X222 != X223 )
& ( 4 = a(X223) )
& ( 2 = b(X222) )
& ( X221 != X222 )
& ( 10 = a(X221) )
& ( X223 != X224 )
& ( X221 != X224 )
& ( 7 = a(X224) )
& ( X221 != X223 )
& ( X222 != X224 ) )
& ! [X226: $int,X227: $int,X225: $int] :
~ ( ( 5 = b(X225) )
& ( 1 = a(X225) )
& ( X226 != X227 )
& ( 2 = b(X226) )
& ( 5 = a(X227) )
& ( 10 = a(X226) )
& ( X225 != X226 )
& $less(X226,X225)
& ( X225 != X227 ) )
& ! [X229: $int,X228: $int,X231: $int,X230: $int] :
~ ( ( X230 != X231 )
& ( 10 = a(X231) )
& ( 5 = b(X230) )
& ( X228 != X230 )
& ( 1 = a(X228) )
& ( X228 != X229 )
& ( X229 != X230 )
& ( 5 = a(X229) )
& $less(b(X231),3)
& ( X229 != X231 )
& ( X228 != X231 )
& $less(X231,X229) )
& ! [X234: $int,X233: $int,X232: $int] :
~ ( ( 5 = b(X234) )
& $less(X233,X234)
& ( 5 = a(X232) )
& ( 2 = b(X233) )
& ( 10 = a(X233) )
& ( X232 != X234 )
& ( 4 = a(X234) )
& ( X232 != X233 )
& ( X233 != X234 ) )
& ! [X238: $int,X236: $int,X237: $int,X235: $int] :
~ ( ( X236 != X238 )
& ( 5 = b(X235) )
& ( 5 = a(X236) )
& ( X235 != X237 )
& ( X235 != X238 )
& ( X235 != X236 )
& ( 10 = a(X238) )
& ( 2 = b(X237) )
& $less(X238,X236)
& $less(b(X238),3)
& ( X237 != X238 )
& ( X236 != X237 ) )
& ! [X240: $int,X241: $int,X239: $int] :
~ ( ( 10 = a(X239) )
& ( X240 != X241 )
& ( 4 = a(X241) )
& ( X239 != X240 )
& ( 2 = a(X240) )
& ( 5 = b(X240) )
& $less(X239,X240)
& ( 2 = b(X239) )
& ( X239 != X241 ) )
& ! [X243: $int,X245: $int,X242: $int,X244: $int] :
~ ( ( X242 != X243 )
& ( X243 != X244 )
& $less(X242,X244)
& $less(b(X245),4)
& ( 5 = b(X243) )
& ( X242 != X245 )
& ( 2 = b(X242) )
& ( 10 = a(X242) )
& $less(b(X244),4)
& ( X244 != X245 )
& ( X242 != X244 )
& ( 3 = a(X244) )
& ( 7 = a(X245) )
& ( X243 != X245 ) )
& ! [X247: $int,X246: $int,X248: $int] :
~ ( ( 7 = a(X246) )
& ( X246 != X248 )
& ( 5 = b(X246) )
& ( 10 = a(X247) )
& $less(X247,X246)
& ( X247 != X248 )
& ( X246 != X247 )
& ( 5 = a(X248) )
& ( 2 = b(X247) ) )
& ! [X249: $int,X251: $int,X250: $int,X252: $int] :
~ ( ( X249 != X251 )
& ( X250 != X252 )
& $less(X251,X252)
& ( 2 = b(X249) )
& ( X251 != X252 )
& ( 5 = a(X252) )
& ( X249 != X250 )
& ( 10 = a(X251) )
& ( X249 != X252 )
& $less(b(X251),3)
& ( X250 != X251 )
& ( 5 = b(X252) )
& ( 7 = a(X250) ) )
& ! [X254: $int,X253: $int,X255: $int] :
~ ( ( X253 != X254 )
& $less(b(X255),3)
& ( X253 != X255 )
& ( 6 = a(X253) )
& ( X254 != X255 )
& ( 5 = b(X254) )
& ( 7 = a(X254) )
& $less(X255,X254)
& ( 10 = a(X255) ) )
& ! [X256: $int,X258: $int,X257: $int] :
~ ( $less(X256,X257)
& ( X256 != X258 )
& ( 5 = b(X257) )
& ( X257 != X258 )
& ( 10 = a(X256) )
& ( 2 = b(X256) )
& ( X256 != X257 )
& ( 4 = a(X257) )
& ( 6 = a(X258) ) )
& ! [X260: $int,X261: $int,X259: $int] :
~ ( ( X260 != X261 )
& $less(X260,X261)
& ( 2 = a(X261) )
& ( 2 = b(X260) )
& ( X259 != X261 )
& ( X259 != X260 )
& ( 10 = a(X260) )
& ( 5 = b(X261) )
& ( 6 = a(X259) ) )
& ! [X264: $int,X263: $int,X262: $int] :
~ ( $less(b(X263),3)
& ( 8 = a(X264) )
& ( 7 = a(X262) )
& ( X263 != X264 )
& ( X262 != X264 )
& $less(X263,X262)
& ( 10 = a(X263) )
& ( X262 != X263 ) )
& ( z3 != z4 )
& ! [X265: $int,X267: $int,X266: $int] :
~ ( ( X265 != X267 )
& ( X265 != X266 )
& ( 7 = a(X267) )
& $less(b(X265),3)
& ( 7 = a(X266) )
& ( 5 = b(X266) )
& ( X266 != X267 )
& $less(X265,X266)
& ( 10 = a(X265) ) )
& ! [X270: $int,X269: $int,X268: $int] :
~ ( ( 4 = a(X268) )
& ( 10 = a(X269) )
& ( 1 = a(X270) )
& ( X268 != X269 )
& ( X269 != X270 )
& ( 5 = b(X270) )
& ( X268 != X270 )
& ( 2 = b(X269) )
& $less(X269,X270) )
& ! [X272: $int,X273: $int,X271: $int] :
~ ( ( X271 != X272 )
& ( 7 = a(X272) )
& ( 10 = a(X273) )
& ( 2 = b(X273) )
& ( X271 != X273 )
& ( 1 = a(X271) )
& $less(b(X272),4)
& ( 5 = b(X271) )
& $less(X273,X271)
& ( X272 != X273 ) )
& ! [X276: $int,X275: $int,X274: $int] :
~ ( ( 8 = a(X274) )
& ( X275 != X276 )
& $less(b(X275),3)
& ( 10 = a(X275) )
& ( 2 = b(X274) )
& ( 12 = a(X276) )
& $less(X275,X276)
& ( X274 != X275 )
& ( X274 != X276 ) )
& ! [X279: $int,X277: $int,X278: $int] :
~ ( $less(b(X279),3)
& ( 2 = b(X277) )
& ( 8 = a(X277) )
& ( 10 = a(X279) )
& ( X277 != X279 )
& ( X278 != X279 )
& ( X277 != X278 )
& ( 4 = a(X278) )
& $less(X279,X278) )
& ! [X280: $int,X282: $int,X281: $int,X283: $int] :
~ ( ( X282 != X283 )
& ( X280 != X282 )
& ( 12 = a(X282) )
& ( 10 = a(X283) )
& ( 5 = a(X281) )
& $less(b(X283),3)
& ( 5 = b(X280) )
& ( X280 != X281 )
& $less(X283,X281)
& ( X281 != X283 )
& ( X280 != X283 )
& ( X281 != X282 ) )
& ! [X286: $int,X284: $int,X285: $int,X287: $int] :
~ ( ( X285 != X286 )
& $less(b(X285),3)
& $less(X285,X284)
& ( 10 = a(X285) )
& ( 1 = a(X286) )
& ( X285 != X287 )
& ( 5 = b(X287) )
& ( X284 != X285 )
& ( X284 != X286 )
& ( X286 != X287 )
& ( X284 != X287 )
& ( 4 = a(X284) ) ) )
=> ~ ( ( a(z1) = 4 )
& ( a(z3) = 7 )
& ( b(z4) = 5 )
& ( a(z2) = 10 )
& $less(z2,z1)
& $less(b(z2),3)
& ( b(z3) = 2 ) ) ),
inference(rectify,[],[f3]) ).
tff(f5,plain,
~ ( ( ! [X121: $int,X120: $int,X119: $int] :
~ ( $less(X119,X120)
& ( X120 != X121 )
& ( 12 = a(X120) )
& ( 4 = a(X121) )
& ( X119 != X120 )
& ( X119 != X121 )
& ( 2 = b(X119) )
& ( 5 = b(X120) )
& ( 10 = a(X119) ) )
& ! [X47: $int,X48: $int,X45: $int,X46: $int] :
~ ( ( 8 = a(X48) )
& $less(b(X45),3)
& ( 2 = a(X46) )
& ( X46 != X47 )
& ( X46 != X48 )
& ( X47 != X48 )
& ( X45 != X46 )
& ( 4 = a(X47) )
& ( X45 != X48 )
& ( 10 = a(X45) )
& $less(X45,X47)
& ( X45 != X47 ) )
& ! [X158: $int,X159: $int] :
~ ( ( 10 = a(X158) )
& ( 10 = a(X159) )
& ( X158 != X159 ) )
& ! [X122: $int,X125: $int,X124: $int,X123: $int] :
~ ( ( 5 = a(X123) )
& ( X122 != X124 )
& ( X123 != X125 )
& ( X122 != X123 )
& ( 6 = a(X125) )
& ( 2 = b(X124) )
& ( X124 != X125 )
& ( X122 != X125 )
& ( 5 = b(X123) )
& $less(b(X122),3)
& ( X123 != X124 )
& ( 10 = a(X122) )
& $less(X122,X123) )
& ! [X87: $int,X86: $int,X84: $int,X85: $int] :
~ ( ( X84 != X85 )
& ( X84 != X86 )
& ( X85 != X87 )
& ( 5 = a(X85) )
& ( X85 != X86 )
& ( X86 != X87 )
& ( X84 != X87 )
& ( 8 = a(X84) )
& ( 2 = a(X86) )
& $less(b(X87),3)
& ( 10 = a(X87) )
& $less(X87,X85) )
& ( z2 != z5 )
& ! [X17: $int,X19: $int,X18: $int] :
~ ( ( X18 != X19 )
& ( 5 = b(X18) )
& ( X17 != X19 )
& ( 10 = a(X19) )
& ( 4 = a(X17) )
& ( 5 = a(X18) )
& $less(X19,X18)
& ( X17 != X18 )
& ( 2 = b(X19) ) )
& ! [X172: $int,X171: $int,X173: $int] :
~ ( ( 5 = b(X171) )
& ( X172 != X173 )
& $less(b(X172),4)
& ( X171 != X173 )
& ( 7 = a(X172) )
& ( 2 = a(X171) )
& ( 2 = b(X173) )
& $less(X173,X171)
& ( X171 != X172 )
& ( 10 = a(X173) ) )
& ! [X15: $int,X16: $int,X14: $int] :
~ ( $less(b(X16),3)
& ( X14 != X15 )
& ( 10 = a(X16) )
& ( X15 != X16 )
& $less(X16,X15)
& ( 6 = a(X15) )
& ( 8 = a(X14) )
& ( X14 != X16 ) )
& ( z1 != z4 )
& ! [X194: $int,X193: $int,X192: $int] :
~ ( ( 10 = a(X192) )
& ( X192 != X194 )
& $less(X192,X193)
& ( 1 = a(X193) )
& ( 2 = b(X192) )
& ( X193 != X194 )
& ( 6 = a(X194) )
& ( X192 != X193 )
& ( 5 = b(X193) ) )
& ! [X154: $int,X156: $int,X155: $int,X157: $int] :
~ ( ( X154 != X156 )
& $less(X155,X157)
& ( X154 != X155 )
& ( X156 != X157 )
& ( 5 = b(X154) )
& ( X155 != X157 )
& ( 10 = a(X155) )
& ( X154 != X157 )
& ( 5 = a(X157) )
& ( 7 = a(X156) )
& $less(b(X155),3)
& ( 2 = a(X154) )
& ( X155 != X156 ) )
& ! [X203: $int,X201: $int,X202: $int,X204: $int] :
~ ( ( X201 != X202 )
& $less(X203,X201)
& ( 5 = a(X201) )
& ( X202 != X204 )
& ( 10 = a(X203) )
& ( 5 = b(X204) )
& ( 2 = a(X202) )
& ( X203 != X204 )
& ( X201 != X204 )
& ( X201 != X203 )
& ( X202 != X203 )
& $less(b(X203),3) )
& ! [X223: $int,X222: $int,X224: $int,X221: $int] :
~ ( ( 5 = b(X223) )
& $less(b(X221),3)
& $less(X221,X223)
& ( X222 != X223 )
& ( 4 = a(X223) )
& ( 2 = b(X222) )
& ( X221 != X222 )
& ( 10 = a(X221) )
& ( X223 != X224 )
& ( X221 != X224 )
& ( 7 = a(X224) )
& ( X221 != X223 )
& ( X222 != X224 ) )
& ! [X141: $int,X142: $int,X140: $int] :
~ ( $less(b(X141),3)
& $less(X141,X142)
& ( 2 = b(X140) )
& ( 8 = a(X140) )
& ( X140 != X142 )
& ( X140 != X141 )
& ( X141 != X142 )
& ( 10 = a(X141) )
& ( 2 = a(X142) ) )
& ! [X179: $int,X180: $int,X178: $int,X177: $int] :
~ ( $less(X177,X178)
& ( 7 = a(X180) )
& ( 10 = a(X177) )
& ( X178 != X180 )
& ( 5 = b(X179) )
& ( X179 != X180 )
& ( X177 != X180 )
& ( X177 != X178 )
& ( X177 != X179 )
& ( X178 != X179 )
& ( 12 = a(X178) )
& $less(b(X177),3)
& ( 2 = b(X180) ) )
& ! [X126: $int] :
( ~ $less(5,b(X126))
& ~ $less(b(X126),1) )
& ! [X81: $int,X82: $int,X83: $int] :
~ ( ( X81 != X82 )
& ( X82 != X83 )
& ( 10 = a(X82) )
& ( 6 = a(X83) )
& $less(b(X82),3)
& $less(X82,X83)
& ( X81 != X83 )
& ( 5 = b(X83) )
& ( 7 = a(X81) ) )
& ! [X144: $int,X145: $int,X146: $int,X143: $int] :
~ ( $less(X143,X146)
& $less(b(X143),3)
& ( X143 != X145 )
& ( X144 != X145 )
& ( X145 != X146 )
& ( X143 != X144 )
& ( X144 != X146 )
& ( 2 = b(X144) )
& ( 2 = a(X146) )
& ( 5 = b(X145) )
& ( 7 = a(X144) )
& ( X143 != X146 )
& ( 10 = a(X143) ) )
& ! [X151: $int,X152: $int,X150: $int,X153: $int] :
~ ( ( 2 = b(X153) )
& $less(b(X152),3)
& ( X152 != X153 )
& ( X151 != X153 )
& ( 5 = a(X153) )
& ( X150 != X153 )
& ( 5 = a(X151) )
& ( 2 = b(X150) )
& ( X151 != X152 )
& ( 10 = a(X152) )
& ( X150 != X151 )
& $less(X152,X151)
& ( X150 != X152 )
& ( 5 = b(X151) ) )
& ! [X103: $int,X105: $int,X104: $int] :
~ ( $less(X104,X103)
& ( 5 = b(X103) )
& ( 5 = a(X103) )
& ( 2 = b(X104) )
& ( X103 != X105 )
& ( 10 = a(X104) )
& ( 7 = a(X105) )
& ( X103 != X104 )
& ( X104 != X105 ) )
& ! [X214: $int,X217: $int,X216: $int,X215: $int] :
~ ( ( X216 != X217 )
& ( X215 != X217 )
& ( X214 != X217 )
& $less(X214,X216)
& ( 5 = b(X217) )
& ( 1 = a(X216) )
& ( X215 != X216 )
& $less(b(X214),3)
& ( X214 != X216 )
& ( 2 = b(X215) )
& ( X214 != X215 )
& ( 10 = a(X214) )
& ( 7 = a(X215) ) )
& ! [X11: $int,X12: $int,X13: $int] :
~ ( $less(b(X12),4)
& ( 1 = a(X13) )
& ( X11 != X13 )
& $less(X11,X13)
& ( 8 = a(X12) )
& ( X12 != X13 )
& ( 2 = b(X11) )
& ( 10 = a(X11) )
& ( X11 != X12 ) )
& ! [X96: $int,X95: $int,X94: $int] :
~ ( ( X94 != X96 )
& ( 2 = b(X94) )
& $less(b(X96),3)
& ( X94 != X95 )
& $less(X96,X95)
& ( 10 = a(X96) )
& ( 5 = a(X95) )
& ( X95 != X96 )
& ( 8 = a(X94) ) )
& ! [X196: $int,X195: $int,X197: $int] :
~ ( ( 8 = a(X195) )
& ( 12 = a(X196) )
& $less(X197,X196)
& ( X196 != X197 )
& ( 10 = a(X197) )
& ( X195 != X197 )
& ( X195 != X196 )
& ( 2 = b(X197) )
& $less(b(X195),4) )
& ! [X100: $int,X101: $int,X102: $int] :
~ ( ( 4 = a(X100) )
& ( 5 = b(X100) )
& ( X100 != X102 )
& $less(b(X101),3)
& ( X100 != X101 )
& ( 10 = a(X101) )
& ( X101 != X102 )
& $less(X101,X100)
& ( 2 = b(X102) )
& ( 7 = a(X102) ) )
& ! [X176: $int,X175: $int,X174: $int] :
~ ( ( 5 = a(X175) )
& ( X174 != X175 )
& ( X174 != X176 )
& ( 10 = a(X176) )
& ( X175 != X176 )
& ( 2 = b(X176) )
& $less(X176,X175)
& ( 8 = a(X174) ) )
& ! [X137: $int,X139: $int,X138: $int] :
~ ( ( 2 = a(X138) )
& ( X137 != X138 )
& $less(X137,X138)
& ( X137 != X139 )
& ( 10 = a(X137) )
& ( 8 = a(X139) )
& ( X138 != X139 )
& $less(b(X139),4)
& ( 2 = b(X137) ) )
& ! [X21: $int,X23: $int,X22: $int] :
~ ( ( 12 = a(X22) )
& ( 6 = a(X23) )
& ( 2 = b(X21) )
& ( X21 != X22 )
& ( X21 != X23 )
& ( 10 = a(X21) )
& ( 5 = b(X22) )
& $less(X21,X22)
& ( X22 != X23 ) )
& ( z3 != z4 )
& ( z1 != z3 )
& ! [X64: $int,X66: $int,X65: $int] :
~ ( ( 5 = b(X66) )
& ( X64 != X66 )
& ( 2 = b(X64) )
& ( 10 = a(X64) )
& ( X65 != X66 )
& $less(X64,X66)
& ( X64 != X65 )
& ( 5 = a(X65) )
& ( 2 = a(X66) ) )
& ! [X147: $int,X149: $int,X148: $int] :
~ ( ( 5 = b(X148) )
& $less(b(X147),3)
& ( 5 = a(X148) )
& ( 10 = a(X147) )
& ( 2 = b(X149) )
& ( X148 != X149 )
& ( X147 != X149 )
& ( 6 = a(X149) )
& $less(X147,X148)
& ( X147 != X148 ) )
& ! [X92: $int,X91: $int,X93: $int] :
~ ( ( 4 = a(X92) )
& ( X92 != X93 )
& ( 5 = b(X93) )
& ( X91 != X92 )
& ( 10 = a(X91) )
& ( X91 != X93 )
& $less(X91,X92)
& ( 2 = b(X91) ) )
& ! [X106: $int,X107: $int,X108: $int] :
~ ( ( 5 = a(X107) )
& $less(X108,X107)
& ( 10 = a(X108) )
& $less(b(X108),3)
& ( X107 != X108 )
& ( 5 = b(X107) )
& ( X106 != X107 )
& ( 2 = b(X106) )
& ( X106 != X108 )
& ( 7 = a(X106) ) )
& ! [X208: $int,X209: $int] :
~ ( $less(b(X208),3)
& ( 9 = a(X209) )
& ( X208 != X209 )
& ( 10 = a(X208) )
& $less(X208,X209) )
& ! [X28: $int,X27: $int,X29: $int,X30: $int] :
~ ( ( X27 != X28 )
& ( 2 = b(X27) )
& ( 5 = b(X30) )
& ( X28 != X30 )
& ( X28 != X29 )
& ( X27 != X29 )
& ( 7 = a(X29) )
& ( 10 = a(X27) )
& ( X27 != X30 )
& ( 2 = a(X28) )
& $less(b(X29),4)
& ( X29 != X30 )
& $less(X27,X28) )
& ! [X10: $int,X8: $int,X9: $int,X7: $int] :
~ ( ( X7 != X9 )
& ( X7 != X8 )
& ( X8 != X10 )
& ( 2 = b(X10) )
& ( 7 = a(X9) )
& ( 10 = a(X7) )
& ( X9 != X10 )
& $less(b(X7),3)
& ( 5 = a(X8) )
& ( X8 != X9 )
& ( 5 = b(X9) )
& $less(X7,X9)
& ( X7 != X10 ) )
& ! [X44: $int,X43: $int,X42: $int] :
~ ( ( 4 = a(X44) )
& ( X42 != X44 )
& ( 8 = a(X42) )
& ( 2 = b(X43) )
& ( X43 != X44 )
& $less(X43,X44)
& ( 10 = a(X43) )
& ( X42 != X43 ) )
& ! [X240: $int,X241: $int,X239: $int] :
~ ( ( 10 = a(X239) )
& ( X240 != X241 )
& ( 4 = a(X241) )
& ( X239 != X240 )
& ( 2 = a(X240) )
& ( 5 = b(X240) )
& $less(X239,X240)
& ( 2 = b(X239) )
& ( X239 != X241 ) )
& ! [X162: $int,X161: $int,X163: $int,X160: $int] :
~ ( ( X161 != X163 )
& ( 5 = a(X162) )
& ( X160 != X162 )
& $less(X163,X162)
& ( 7 = a(X160) )
& ( 2 = a(X161) )
& ( X160 != X163 )
& ( 5 = b(X162) )
& ( 10 = a(X163) )
& ( X161 != X162 )
& $less(b(X163),3)
& ( X160 != X161 )
& ( X162 != X163 ) )
& ! [X210: $int,X213: $int,X211: $int,X212: $int] :
~ ( $less(X213,X210)
& ( 10 = a(X213) )
& ( X211 != X212 )
& ( 5 = b(X210) )
& $less(b(X213),3)
& ( X210 != X212 )
& ( X212 != X213 )
& ( 2 = a(X212) )
& ( X211 != X213 )
& ( X210 != X213 )
& ( 7 = a(X210) )
& ( X210 != X211 )
& ( 5 = a(X211) ) )
& ! [X200: $int,X198: $int,X199: $int] :
~ ( ( X198 != X200 )
& ( X198 != X199 )
& ( X199 != X200 )
& ( 5 = b(X198) )
& ( 6 = a(X198) )
& $less(X200,X198)
& $less(b(X200),3)
& ( 6 = a(X199) )
& ( 10 = a(X200) ) )
& ! [X229: $int,X228: $int,X231: $int,X230: $int] :
~ ( ( X230 != X231 )
& ( 10 = a(X231) )
& ( 5 = b(X230) )
& ( X228 != X230 )
& ( 1 = a(X228) )
& ( X228 != X229 )
& ( X229 != X230 )
& ( 5 = a(X229) )
& $less(b(X231),3)
& ( X229 != X231 )
& ( X228 != X231 )
& $less(X231,X229) )
& ! [X185: $int,X184: $int,X186: $int] :
~ ( ( 1 = a(X185) )
& ( 10 = a(X186) )
& ( X185 != X186 )
& ( 7 = a(X184) )
& ( 2 = b(X184) )
& ( X184 != X185 )
& $less(b(X186),3)
& ( X184 != X186 )
& ( 5 = b(X185) )
& $less(X186,X185) )
& ! [X136: $int,X134: $int,X135: $int] :
~ ( ( X134 != X136 )
& ( 10 = a(X135) )
& ( X135 != X136 )
& $less(X135,X134)
& ( 5 = a(X136) )
& ( X134 != X135 )
& ( 5 = b(X134) )
& ( 12 = a(X134) )
& ( 2 = b(X135) ) )
& ! [X264: $int,X263: $int,X262: $int] :
~ ( $less(b(X263),3)
& ( 8 = a(X264) )
& ( 7 = a(X262) )
& ( X263 != X264 )
& ( X262 != X264 )
& $less(X263,X262)
& ( 10 = a(X263) )
& ( X262 != X263 ) )
& ! [X109: $int,X111: $int,X110: $int] :
~ ( ( X109 != X110 )
& $less(b(X109),3)
& $less(X109,X111)
& ( 6 = a(X111) )
& ( X109 != X111 )
& ( 10 = a(X109) )
& ( X110 != X111 )
& ( 5 = b(X110) ) )
& ! [X286: $int,X284: $int,X285: $int,X287: $int] :
~ ( ( X285 != X286 )
& $less(b(X285),3)
& $less(X285,X284)
& ( 10 = a(X285) )
& ( 1 = a(X286) )
& ( X285 != X287 )
& ( 5 = b(X287) )
& ( X284 != X285 )
& ( X284 != X286 )
& ( X286 != X287 )
& ( X284 != X287 )
& ( 4 = a(X284) ) )
& ! [X234: $int,X233: $int,X232: $int] :
~ ( ( 5 = b(X234) )
& $less(X233,X234)
& ( 5 = a(X232) )
& ( 2 = b(X233) )
& ( 10 = a(X233) )
& ( X232 != X234 )
& ( 4 = a(X234) )
& ( X232 != X233 )
& ( X233 != X234 ) )
& ( z2 != z4 )
& ( z4 != z5 )
& ! [X260: $int,X261: $int,X259: $int] :
~ ( ( X260 != X261 )
& $less(X260,X261)
& ( 2 = a(X261) )
& ( 2 = b(X260) )
& ( X259 != X261 )
& ( X259 != X260 )
& ( 10 = a(X260) )
& ( 5 = b(X261) )
& ( 6 = a(X259) ) )
& ! [X89: $int,X88: $int,X90: $int] :
~ ( ( 10 = a(X88) )
& $less(b(X90),4)
& ( 3 = a(X90) )
& ( 2 = b(X89) )
& ( X88 != X89 )
& ( 8 = a(X89) )
& ( X88 != X90 )
& $less(X88,X90)
& $less(b(X88),3)
& ( X89 != X90 ) )
& ! [X254: $int,X253: $int,X255: $int] :
~ ( ( X253 != X254 )
& $less(b(X255),3)
& ( X253 != X255 )
& ( 6 = a(X253) )
& ( X254 != X255 )
& ( 5 = b(X254) )
& ( 7 = a(X254) )
& $less(X255,X254)
& ( 10 = a(X255) ) )
& ! [X69: $int,X68: $int,X67: $int] :
~ ( $less(X67,X69)
& ( 6 = a(X69) )
& ( 10 = a(X67) )
& ( X67 != X68 )
& ( 2 = b(X67) )
& ( 5 = b(X69) )
& ( X68 != X69 )
& ( 4 = a(X68) )
& ( X67 != X69 ) )
& ! [X57: $int,X59: $int,X58: $int] :
~ ( ( 5 = a(X59) )
& ( 10 = a(X57) )
& $less(X57,X58)
& ( X57 != X59 )
& ( 5 = b(X58) )
& ( 2 = b(X57) )
& ( 6 = a(X58) )
& ( X58 != X59 )
& ( X57 != X58 ) )
& ! [X276: $int,X275: $int,X274: $int] :
~ ( ( 8 = a(X274) )
& ( X275 != X276 )
& $less(b(X275),3)
& ( 10 = a(X275) )
& ( 2 = b(X274) )
& ( 12 = a(X276) )
& $less(X275,X276)
& ( X274 != X275 )
& ( X274 != X276 ) )
& ( z1 != z2 )
& ! [X187: $int,X188: $int] :
~ ( ( X187 != X188 )
& $less(X187,X188)
& ( 10 = a(X187) )
& $less(b(X187),3)
& ( 8 = a(X188) ) )
& ! [X51: $int,X52: $int,X50: $int,X49: $int] :
~ ( ( 6 = a(X50) )
& ( 10 = a(X51) )
& ( 5 = b(X50) )
& ( X51 != X52 )
& ( 5 = a(X52) )
& ( X49 != X50 )
& ( X49 != X51 )
& ( X50 != X51 )
& ( X49 != X52 )
& $less(X51,X50)
& ( X50 != X52 )
& ( 2 = b(X49) )
& $less(b(X51),3) )
& ! [X132: $int,X133: $int,X131: $int] :
~ ( ( 4 = a(X132) )
& ( 5 = b(X133) )
& ( X131 != X133 )
& $less(X131,X133)
& ( 4 = a(X133) )
& ( X132 != X133 )
& ( X131 != X132 )
& ( 10 = a(X131) )
& ( 2 = b(X131) ) )
& ! [X190: $int,X191: $int,X189: $int] :
~ ( ( 7 = a(X190) )
& ( 10 = a(X191) )
& ( X190 != X191 )
& ( 5 = b(X189) )
& ( 2 = b(X190) )
& ( X189 != X191 )
& $less(b(X191),3)
& ( 2 = a(X189) )
& ( X189 != X190 )
& $less(X191,X189) )
& ! [X207: $int,X206: $int,X205: $int] :
~ ( ( 10 = a(X206) )
& ( X205 != X207 )
& ( 5 = b(X205) )
& $less(X206,X205)
& ( 7 = a(X205) )
& ( X205 != X206 )
& ( 4 = a(X207) )
& ( 2 = b(X206) )
& ( X206 != X207 ) )
& ! [X26: $int,X24: $int,X25: $int] :
~ ( ( X25 != X26 )
& ( X24 != X25 )
& ( 7 = a(X25) )
& $less(b(X24),3)
& ( 5 = b(X26) )
& ( X24 != X26 )
& $less(X24,X25)
& ( 10 = a(X24) ) )
& ! [X79: $int,X78: $int,X80: $int] :
~ ( ( 5 = a(X79) )
& ( 10 = a(X78) )
& ( X78 != X80 )
& ( X78 != X79 )
& ( X79 != X80 )
& ( 6 = a(X80) )
& ( 5 = b(X79) )
& ( 2 = b(X78) )
& $less(X78,X79) )
& ! [X97: $int,X99: $int,X98: $int] :
~ ( ( 10 = a(X98) )
& $less(b(X98),3)
& ( 12 = a(X99) )
& $less(X98,X99)
& ( X97 != X99 )
& ( 2 = b(X97) )
& ( X98 != X99 )
& ( 7 = a(X97) )
& ( 5 = b(X99) )
& ( X97 != X98 ) )
& ! [X280: $int,X282: $int,X281: $int,X283: $int] :
~ ( ( X282 != X283 )
& ( X280 != X282 )
& ( 12 = a(X282) )
& ( 10 = a(X283) )
& ( 5 = a(X281) )
& $less(b(X283),3)
& ( 5 = b(X280) )
& ( X280 != X281 )
& $less(X283,X281)
& ( X281 != X283 )
& ( X280 != X283 )
& ( X281 != X282 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( 12 = a(X2) )
& ( a(X0) = 7 )
& $less(b(X0),4)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( 5 = b(X2) )
& ( X0 != X1 )
& $less(X1,X2) )
& ! [X32: $int,X33: $int,X31: $int] :
~ ( ( X31 != X33 )
& ( 10 = a(X33) )
& ( X32 != X33 )
& ( 7 = a(X32) )
& ( 4 = a(X31) )
& $less(X33,X31)
& ( 2 = b(X33) )
& ( 5 = b(X31) )
& ( X31 != X32 ) )
& ! [X265: $int,X267: $int,X266: $int] :
~ ( ( X265 != X267 )
& ( X265 != X266 )
& ( 7 = a(X267) )
& $less(b(X265),3)
& ( 7 = a(X266) )
& ( 5 = b(X266) )
& ( X266 != X267 )
& $less(X265,X266)
& ( 10 = a(X265) ) )
& ! [X166: $int,X164: $int,X165: $int] :
~ ( $less(b(X165),4)
& ( X165 != X166 )
& $less(X166,X165)
& ( 2 = b(X166) )
& $less(b(X164),4)
& ( X164 != X165 )
& ( 3 = a(X165) )
& ( X164 != X166 )
& ( 10 = a(X166) )
& ( 8 = a(X164) ) )
& ! [X77: $int,X76: $int,X74: $int,X75: $int] :
~ ( ( X76 != X77 )
& ( 10 = a(X77) )
& ( 1 = a(X75) )
& ( 5 = a(X76) )
& ( X74 != X75 )
& $less(b(X77),3)
& ( X75 != X76 )
& ( 8 = a(X74) )
& ( X75 != X77 )
& $less(X77,X76)
& ( X74 != X77 )
& ( X74 != X76 ) )
& ! [X272: $int,X273: $int,X271: $int] :
~ ( ( X271 != X272 )
& ( 7 = a(X272) )
& ( 10 = a(X273) )
& ( 2 = b(X273) )
& ( X271 != X273 )
& ( 1 = a(X271) )
& $less(b(X272),4)
& ( 5 = b(X271) )
& $less(X273,X271)
& ( X272 != X273 ) )
& ! [X226: $int,X227: $int,X225: $int] :
~ ( ( 5 = b(X225) )
& ( 1 = a(X225) )
& ( X226 != X227 )
& ( 2 = b(X226) )
& ( 5 = a(X227) )
& ( 10 = a(X226) )
& ( X225 != X226 )
& $less(X226,X225)
& ( X225 != X227 ) )
& ! [X112: $int,X113: $int,X114: $int] :
~ ( ( 2 = b(X113) )
& ( 5 = a(X112) )
& ( X113 != X114 )
& ( X112 != X114 )
& ( 5 = b(X114) )
& ( 10 = a(X113) )
& ( X112 != X113 )
& $less(X113,X112) )
& ! [X20: $int] :
( ~ $less(a(X20),1)
& ~ $less(12,a(X20)) )
& ( z2 != z3 )
& ! [X270: $int,X269: $int,X268: $int] :
~ ( ( 4 = a(X268) )
& ( 10 = a(X269) )
& ( 1 = a(X270) )
& ( X268 != X269 )
& ( X269 != X270 )
& ( 5 = b(X270) )
& ( X268 != X270 )
& ( 2 = b(X269) )
& $less(X269,X270) )
& ! [X5: $int,X3: $int,X4: $int,X6: $int] :
~ ( ( X4 != X5 )
& ( X3 != X4 )
& ( X4 != X6 )
& ( 4 = a(X4) )
& ( X3 != X6 )
& $less(X3,X4)
& ( 5 = b(X6) )
& ( 2 = b(X5) )
& ( X5 != X6 )
& $less(b(X3),3)
& ( 10 = a(X3) )
& ( X3 != X5 ) )
& ! [X238: $int,X236: $int,X237: $int,X235: $int] :
~ ( ( X236 != X238 )
& ( 5 = b(X235) )
& ( 5 = a(X236) )
& ( X235 != X237 )
& ( X235 != X238 )
& ( X235 != X236 )
& ( 10 = a(X238) )
& ( 2 = b(X237) )
& $less(X238,X236)
& $less(b(X238),3)
& ( X237 != X238 )
& ( X236 != X237 ) )
& ! [X130: $int,X128: $int,X127: $int,X129: $int] :
~ ( ( 3 = a(X127) )
& ( 10 = a(X128) )
& ( 7 = a(X129) )
& ( X127 != X129 )
& $less(X128,X127)
& ( 5 = b(X130) )
& ( X128 != X129 )
& $less(b(X128),3)
& ( X127 != X128 )
& ( 2 = b(X129) )
& ( X127 != X130 )
& ( X128 != X130 )
& ( X129 != X130 )
& $less(b(X127),4) )
& ! [X36: $int,X34: $int,X35: $int,X37: $int] :
~ ( ( X34 != X37 )
& ( 5 = b(X37) )
& ( X35 != X37 )
& ( X34 != X35 )
& $less(b(X35),4)
& ( 10 = a(X36) )
& ( X34 != X36 )
& $less(X36,X34)
& ( 1 = a(X34) )
& ( 2 = b(X36) )
& ( X35 != X36 )
& ( X36 != X37 )
& ( 7 = a(X35) ) )
& ! [X40: $int,X41: $int,X38: $int,X39: $int] :
~ ( ( X39 != X41 )
& ( 4 = a(X38) )
& ( X40 != X41 )
& $less(X41,X38)
& ( 10 = a(X41) )
& ( X38 != X40 )
& ( X38 != X39 )
& ( X39 != X40 )
& $less(b(X41),3)
& ( 2 = b(X40) )
& ( X38 != X41 )
& ( 8 = a(X39) ) )
& ! [X247: $int,X246: $int,X248: $int] :
~ ( ( 7 = a(X246) )
& ( X246 != X248 )
& ( 5 = b(X246) )
& ( 10 = a(X247) )
& $less(X247,X246)
& ( X247 != X248 )
& ( X246 != X247 )
& ( 5 = a(X248) )
& ( 2 = b(X247) ) )
& ! [X183: $int,X182: $int,X181: $int] :
~ ( ( 5 = a(X183) )
& ( X181 != X182 )
& ( 10 = a(X182) )
& ( 2 = b(X182) )
& ( 5 = a(X181) )
& $less(X182,X183)
& ( X181 != X183 )
& ( 5 = b(X183) )
& ( X182 != X183 ) )
& ! [X118: $int,X116: $int,X117: $int,X115: $int] :
~ ( $less(b(X115),3)
& ( 4 = a(X116) )
& ( X117 != X118 )
& ( X116 != X118 )
& ( X115 != X118 )
& ( 5 = b(X118) )
& ( 10 = a(X115) )
& ( 2 = b(X117) )
& ( 7 = a(X118) )
& ( X115 != X116 )
& $less(X115,X118)
& ( X116 != X117 )
& ( X115 != X117 ) )
& ( z3 != z5 )
& ! [X168: $int,X167: $int,X170: $int,X169: $int] :
~ ( ( X168 != X170 )
& ( 3 = a(X168) )
& ( X168 != X169 )
& ( X167 != X168 )
& $less(X170,X168)
& ( 8 = a(X169) )
& ( X169 != X170 )
& $less(b(X170),3)
& ( 2 = b(X167) )
& ( X167 != X169 )
& $less(b(X169),4)
& ( X167 != X170 )
& ( 10 = a(X170) )
& $less(b(X168),4) )
& ( z1 != z5 )
& ! [X279: $int,X277: $int,X278: $int] :
~ ( $less(b(X279),3)
& ( 2 = b(X277) )
& ( 8 = a(X277) )
& ( 10 = a(X279) )
& ( X277 != X279 )
& ( X278 != X279 )
& ( X277 != X278 )
& ( 4 = a(X278) )
& $less(X279,X278) )
& ! [X249: $int,X251: $int,X250: $int,X252: $int] :
~ ( ( X249 != X251 )
& ( X250 != X252 )
& $less(X251,X252)
& ( 2 = b(X249) )
& ( X251 != X252 )
& ( 5 = a(X252) )
& ( X249 != X250 )
& ( 10 = a(X251) )
& ( X249 != X252 )
& $less(b(X251),3)
& ( X250 != X251 )
& ( 5 = b(X252) )
& ( 7 = a(X250) ) )
& ! [X243: $int,X245: $int,X242: $int,X244: $int] :
~ ( ( X242 != X243 )
& ( X243 != X244 )
& $less(X242,X244)
& $less(b(X245),4)
& ( 5 = b(X243) )
& ( X242 != X245 )
& ( 2 = b(X242) )
& ( 10 = a(X242) )
& $less(b(X244),4)
& ( X244 != X245 )
& ( X242 != X244 )
& ( 3 = a(X244) )
& ( 7 = a(X245) )
& ( X243 != X245 ) )
& ! [X256: $int,X258: $int,X257: $int] :
~ ( $less(X256,X257)
& ( X256 != X258 )
& ( 5 = b(X257) )
& ( X257 != X258 )
& ( 10 = a(X256) )
& ( 2 = b(X256) )
& ( X256 != X257 )
& ( 4 = a(X257) )
& ( 6 = a(X258) ) )
& ! [X53: $int,X54: $int,X55: $int,X56: $int] :
~ ( ( 10 = a(X56) )
& ( X53 != X56 )
& ( 5 = b(X54) )
& ( X53 != X55 )
& $less(b(X55),4)
& $less(X56,X53)
& ( X55 != X56 )
& ( 2 = b(X56) )
& ( X54 != X56 )
& ( X54 != X55 )
& ( 12 = a(X53) )
& ( 7 = a(X55) )
& ( X53 != X54 ) )
& ! [X219: $int,X220: $int,X218: $int] :
~ ( ( 8 = a(X220) )
& ( 2 = b(X220) )
& ( 1 = a(X219) )
& ( 10 = a(X218) )
& ( X219 != X220 )
& ( X218 != X220 )
& ( X218 != X219 )
& $less(X218,X219)
& $less(b(X218),3) )
& ! [X60: $int,X61: $int,X63: $int,X62: $int] :
~ ( ( X61 != X63 )
& ( 5 = a(X61) )
& ( 10 = a(X63) )
& ( X60 != X62 )
& ( 2 = b(X62) )
& $less(b(X63),3)
& ( X60 != X61 )
& ( X61 != X62 )
& ( X62 != X63 )
& ( X60 != X63 )
& $less(X63,X61)
& ( 8 = a(X60) ) )
& ! [X72: $int,X71: $int,X73: $int,X70: $int] :
~ ( ( 10 = a(X73) )
& ( X71 != X73 )
& ( X70 != X71 )
& ( X71 != X72 )
& ( 5 = b(X72) )
& ( X70 != X72 )
& ( 2 = a(X70) )
& $less(X73,X71)
& ( 4 = a(X71) )
& ( X70 != X73 )
& ( X72 != X73 )
& $less(b(X73),3) ) )
=> ~ ( ( a(z1) = 4 )
& ( a(z3) = 7 )
& ( b(z4) = 5 )
& ( a(z2) = 10 )
& $less(z2,z1)
& $less(b(z2),3)
& ( b(z3) = 2 ) ) ),
inference(true_and_false_elimination,[],[f4]) ).
tff(f6,plain,
( ( a(z1) = 4 )
& ( a(z3) = 7 )
& ( b(z4) = 5 )
& ( a(z2) = 10 )
& $less(z2,z1)
& $less(b(z2),3)
& ( b(z3) = 2 )
& ! [X121: $int,X120: $int,X119: $int] :
( ( 5 != b(X120) )
| ( X119 = X121 )
| ( 12 != a(X120) )
| ( 2 != b(X119) )
| ( X120 = X121 )
| ( 4 != a(X121) )
| ~ $less(X119,X120)
| ( X119 = X120 )
| ( 10 != a(X119) ) )
& ! [X48: $int,X46: $int,X47: $int,X45: $int] :
( ( X46 = X47 )
| ( X45 = X47 )
| ( X45 = X46 )
| ( 8 != a(X48) )
| ( 10 != a(X45) )
| ( 2 != a(X46) )
| ~ $less(b(X45),3)
| ~ $less(X45,X47)
| ( X47 = X48 )
| ( X46 = X48 )
| ( X45 = X48 )
| ( 4 != a(X47) ) )
& ! [X159: $int,X158: $int] :
( ( 10 != a(X158) )
| ( X158 = X159 )
| ( 10 != a(X159) ) )
& ! [X125: $int,X124: $int,X123: $int,X122: $int] :
( ( 10 != a(X122) )
| ( X123 = X125 )
| ( 2 != b(X124) )
| ( 6 != a(X125) )
| ( 5 != b(X123) )
| ~ $less(X122,X123)
| ( X122 = X125 )
| ~ $less(b(X122),3)
| ( X124 = X125 )
| ( X122 = X123 )
| ( X122 = X124 )
| ( X123 = X124 )
| ( 5 != a(X123) ) )
& ! [X85: $int,X84: $int,X86: $int,X87: $int] :
( ~ $less(X87,X85)
| ( X84 = X86 )
| ( 8 != a(X84) )
| ( X86 = X87 )
| ~ $less(b(X87),3)
| ( 10 != a(X87) )
| ( 2 != a(X86) )
| ( X85 = X86 )
| ( X84 = X85 )
| ( X85 = X87 )
| ( 5 != a(X85) )
| ( X84 = X87 ) )
& ( z2 != z5 )
& ! [X19: $int,X18: $int,X17: $int] :
( ( 2 != b(X19) )
| ( X17 = X18 )
| ( 5 != a(X18) )
| ( X18 = X19 )
| ( 10 != a(X19) )
| ( 4 != a(X17) )
| ( 5 != b(X18) )
| ~ $less(X19,X18)
| ( X17 = X19 ) )
& ! [X173: $int,X172: $int,X171: $int] :
( ( 5 != b(X171) )
| ( X171 = X172 )
| ( X172 = X173 )
| ~ $less(b(X172),4)
| ( 7 != a(X172) )
| ( 10 != a(X173) )
| ~ $less(X173,X171)
| ( X171 = X173 )
| ( 2 != b(X173) )
| ( 2 != a(X171) ) )
& ! [X15: $int,X16: $int,X14: $int] :
( ( 8 != a(X14) )
| ( X14 = X15 )
| ( X14 = X16 )
| ( 6 != a(X15) )
| ( X15 = X16 )
| ~ $less(b(X16),3)
| ~ $less(X16,X15)
| ( 10 != a(X16) ) )
& ( z1 != z4 )
& ! [X192: $int,X193: $int,X194: $int] :
( ( 1 != a(X193) )
| ( 10 != a(X192) )
| ~ $less(X192,X193)
| ( 6 != a(X194) )
| ( 5 != b(X193) )
| ( X192 = X194 )
| ( X192 = X193 )
| ( 2 != b(X192) )
| ( X193 = X194 ) )
& ! [X157: $int,X154: $int,X155: $int,X156: $int] :
( ( 10 != a(X155) )
| ( X154 = X157 )
| ( X155 = X157 )
| ( 7 != a(X156) )
| ( 5 != b(X154) )
| ( 5 != a(X157) )
| ~ $less(X155,X157)
| ( X155 = X156 )
| ( 2 != a(X154) )
| ~ $less(b(X155),3)
| ( X154 = X155 )
| ( X156 = X157 )
| ( X154 = X156 ) )
& ! [X204: $int,X202: $int,X203: $int,X201: $int] :
( ( X203 = X204 )
| ( 10 != a(X203) )
| ( 2 != a(X202) )
| ( X202 = X204 )
| ~ $less(X203,X201)
| ~ $less(b(X203),3)
| ( 5 != a(X201) )
| ( X201 = X202 )
| ( 5 != b(X204) )
| ( X201 = X204 )
| ( X201 = X203 )
| ( X202 = X203 ) )
& ! [X221: $int,X223: $int,X224: $int,X222: $int] :
( ( X221 = X222 )
| ( 10 != a(X221) )
| ( X221 = X223 )
| ( X221 = X224 )
| ( X223 = X224 )
| ( 5 != b(X223) )
| ( X222 = X223 )
| ( 4 != a(X223) )
| ( 2 != b(X222) )
| ( X222 = X224 )
| ( 7 != a(X224) )
| ~ $less(X221,X223)
| ~ $less(b(X221),3) )
& ! [X141: $int,X142: $int,X140: $int] :
( ( X140 = X142 )
| ~ $less(X141,X142)
| ( X140 = X141 )
| ( 8 != a(X140) )
| ( X141 = X142 )
| ( 2 != a(X142) )
| ~ $less(b(X141),3)
| ( 10 != a(X141) )
| ( 2 != b(X140) ) )
& ! [X178: $int,X180: $int,X177: $int,X179: $int] :
( ( X177 = X179 )
| ~ $less(b(X177),3)
| ( 12 != a(X178) )
| ( 5 != b(X179) )
| ( X179 = X180 )
| ~ $less(X177,X178)
| ( X178 = X179 )
| ( X177 = X180 )
| ( 7 != a(X180) )
| ( X178 = X180 )
| ( 10 != a(X177) )
| ( 2 != b(X180) )
| ( X177 = X178 ) )
& ! [X126: $int] :
( ~ $less(5,b(X126))
& ~ $less(b(X126),1) )
& ! [X82: $int,X81: $int,X83: $int] :
( ( 5 != b(X83) )
| ( 10 != a(X82) )
| ~ $less(b(X82),3)
| ( 7 != a(X81) )
| ( 6 != a(X83) )
| ( X82 = X83 )
| ~ $less(X82,X83)
| ( X81 = X83 )
| ( X81 = X82 ) )
& ! [X145: $int,X146: $int,X144: $int,X143: $int] :
( ( X143 = X145 )
| ( X143 = X146 )
| ( 7 != a(X144) )
| ( X145 = X146 )
| ( X144 = X145 )
| ( X143 = X144 )
| ( 10 != a(X143) )
| ~ $less(b(X143),3)
| ( 2 != a(X146) )
| ~ $less(X143,X146)
| ( 2 != b(X144) )
| ( X144 = X146 )
| ( 5 != b(X145) ) )
& ! [X153: $int,X150: $int,X152: $int,X151: $int] :
( ( 5 != a(X151) )
| ( 5 != a(X153) )
| ( X150 = X151 )
| ( 2 != b(X150) )
| ( X150 = X152 )
| ( X150 = X153 )
| ~ $less(b(X152),3)
| ( 2 != b(X153) )
| ( 5 != b(X151) )
| ( 10 != a(X152) )
| ~ $less(X152,X151)
| ( X151 = X153 )
| ( X152 = X153 )
| ( X151 = X152 ) )
& ! [X105: $int,X104: $int,X103: $int] :
( ( 2 != b(X104) )
| ( 7 != a(X105) )
| ~ $less(X104,X103)
| ( X103 = X104 )
| ( 5 != a(X103) )
| ( 10 != a(X104) )
| ( 5 != b(X103) )
| ( X104 = X105 )
| ( X103 = X105 ) )
& ! [X214: $int,X215: $int,X216: $int,X217: $int] :
( ( X215 = X217 )
| ( 5 != b(X217) )
| ~ $less(b(X214),3)
| ( X215 = X216 )
| ( 2 != b(X215) )
| ( X214 = X215 )
| ( X214 = X217 )
| ( 7 != a(X215) )
| ( 1 != a(X216) )
| ~ $less(X214,X216)
| ( X214 = X216 )
| ( 10 != a(X214) )
| ( X216 = X217 ) )
& ! [X11: $int,X13: $int,X12: $int] :
( ( 2 != b(X11) )
| ~ $less(X11,X13)
| ( 10 != a(X11) )
| ( 1 != a(X13) )
| ( 8 != a(X12) )
| ~ $less(b(X12),4)
| ( X11 = X12 )
| ( X11 = X13 )
| ( X12 = X13 ) )
& ! [X95: $int,X94: $int,X96: $int] :
( ( X95 = X96 )
| ( 2 != b(X94) )
| ~ $less(X96,X95)
| ~ $less(b(X96),3)
| ( X94 = X95 )
| ( 5 != a(X95) )
| ( 8 != a(X94) )
| ( 10 != a(X96) )
| ( X94 = X96 ) )
& ! [X195: $int,X197: $int,X196: $int] :
( ~ $less(b(X195),4)
| ( 12 != a(X196) )
| ( X195 = X196 )
| ( 10 != a(X197) )
| ( 2 != b(X197) )
| ~ $less(X197,X196)
| ( X196 = X197 )
| ( X195 = X197 )
| ( 8 != a(X195) ) )
& ! [X101: $int,X102: $int,X100: $int] :
( ( 7 != a(X102) )
| ( 4 != a(X100) )
| ( X101 = X102 )
| ( 10 != a(X101) )
| ( 5 != b(X100) )
| ( X100 = X101 )
| ~ $less(X101,X100)
| ( 2 != b(X102) )
| ~ $less(b(X101),3)
| ( X100 = X102 ) )
& ! [X176: $int,X175: $int,X174: $int] :
( ( 5 != a(X175) )
| ( 2 != b(X176) )
| ~ $less(X176,X175)
| ( 10 != a(X176) )
| ( 8 != a(X174) )
| ( X174 = X176 )
| ( X174 = X175 )
| ( X175 = X176 ) )
& ! [X137: $int,X138: $int,X139: $int] :
( ( 2 != a(X138) )
| ( 2 != b(X137) )
| ( X137 = X138 )
| ( 8 != a(X139) )
| ~ $less(X137,X138)
| ~ $less(b(X139),4)
| ( X138 = X139 )
| ( X137 = X139 )
| ( 10 != a(X137) ) )
& ! [X23: $int,X21: $int,X22: $int] :
( ( X22 = X23 )
| ~ $less(X21,X22)
| ( X21 = X23 )
| ( 6 != a(X23) )
| ( 10 != a(X21) )
| ( 5 != b(X22) )
| ( 12 != a(X22) )
| ( 2 != b(X21) )
| ( X21 = X22 ) )
& ( z3 != z4 )
& ( z1 != z3 )
& ! [X66: $int,X65: $int,X64: $int] :
( ( X64 = X65 )
| ( 5 != a(X65) )
| ( 10 != a(X64) )
| ( 5 != b(X66) )
| ( X65 = X66 )
| ( X64 = X66 )
| ~ $less(X64,X66)
| ( 2 != a(X66) )
| ( 2 != b(X64) ) )
& ! [X148: $int,X149: $int,X147: $int] :
( ( 2 != b(X149) )
| ( X147 = X149 )
| ( X148 = X149 )
| ( 10 != a(X147) )
| ( X147 = X148 )
| ~ $less(X147,X148)
| ( 6 != a(X149) )
| ~ $less(b(X147),3)
| ( 5 != b(X148) )
| ( 5 != a(X148) ) )
& ! [X93: $int,X92: $int,X91: $int] :
( ( X91 = X92 )
| ( 10 != a(X91) )
| ( X91 = X93 )
| ( 5 != b(X93) )
| ( 4 != a(X92) )
| ( X92 = X93 )
| ( 2 != b(X91) )
| ~ $less(X91,X92) )
& ! [X107: $int,X108: $int,X106: $int] :
( ( X106 = X108 )
| ( X106 = X107 )
| ( 5 != b(X107) )
| ( X107 = X108 )
| ~ $less(b(X108),3)
| ( 5 != a(X107) )
| ~ $less(X108,X107)
| ( 7 != a(X106) )
| ( 10 != a(X108) )
| ( 2 != b(X106) ) )
& ! [X209: $int,X208: $int] :
( ~ $less(X208,X209)
| ( 9 != a(X209) )
| ( 10 != a(X208) )
| ~ $less(b(X208),3)
| ( X208 = X209 ) )
& ! [X30: $int,X27: $int,X29: $int,X28: $int] :
( ( X28 = X29 )
| ( 10 != a(X27) )
| ~ $less(X27,X28)
| ~ $less(b(X29),4)
| ( X28 = X30 )
| ( X29 = X30 )
| ( X27 = X28 )
| ( X27 = X29 )
| ( 5 != b(X30) )
| ( 7 != a(X29) )
| ( 2 != b(X27) )
| ( 2 != a(X28) )
| ( X27 = X30 ) )
& ! [X10: $int,X8: $int,X7: $int,X9: $int] :
( ( X7 = X10 )
| ( X8 = X10 )
| ~ $less(X7,X9)
| ~ $less(b(X7),3)
| ( X7 = X9 )
| ( 10 != a(X7) )
| ( X9 = X10 )
| ( 5 != b(X9) )
| ( X8 = X9 )
| ( 5 != a(X8) )
| ( 7 != a(X9) )
| ( X7 = X8 )
| ( 2 != b(X10) ) )
& ! [X44: $int,X43: $int,X42: $int] :
( ( X42 = X43 )
| ~ $less(X43,X44)
| ( 2 != b(X43) )
| ( 8 != a(X42) )
| ( X43 = X44 )
| ( 10 != a(X43) )
| ( X42 = X44 )
| ( 4 != a(X44) ) )
& ! [X240: $int,X239: $int,X241: $int] :
( ( 10 != a(X239) )
| ( 5 != b(X240) )
| ( X239 = X240 )
| ( X240 = X241 )
| ( 2 != a(X240) )
| ~ $less(X239,X240)
| ( X239 = X241 )
| ( 4 != a(X241) )
| ( 2 != b(X239) ) )
& ! [X160: $int,X161: $int,X163: $int,X162: $int] :
( ~ $less(X163,X162)
| ( 10 != a(X163) )
| ( X161 = X163 )
| ( 7 != a(X160) )
| ( X161 = X162 )
| ( 5 != a(X162) )
| ( X160 = X162 )
| ( X160 = X163 )
| ~ $less(b(X163),3)
| ( X160 = X161 )
| ( 2 != a(X161) )
| ( X162 = X163 )
| ( 5 != b(X162) ) )
& ! [X213: $int,X210: $int,X212: $int,X211: $int] :
( ( X210 = X212 )
| ( X211 = X212 )
| ( 10 != a(X213) )
| ~ $less(b(X213),3)
| ( 5 != a(X211) )
| ( 2 != a(X212) )
| ( X210 = X213 )
| ( 5 != b(X210) )
| ( X212 = X213 )
| ( 7 != a(X210) )
| ~ $less(X213,X210)
| ( X211 = X213 )
| ( X210 = X211 ) )
& ! [X200: $int,X199: $int,X198: $int] :
( ( X199 = X200 )
| ( X198 = X199 )
| ( X198 = X200 )
| ( 6 != a(X199) )
| ~ $less(b(X200),3)
| ~ $less(X200,X198)
| ( 10 != a(X200) )
| ( 6 != a(X198) )
| ( 5 != b(X198) ) )
& ! [X229: $int,X230: $int,X231: $int,X228: $int] :
( ( 1 != a(X228) )
| ( X228 = X231 )
| ( X229 = X230 )
| ( 5 != b(X230) )
| ( X229 = X231 )
| ~ $less(b(X231),3)
| ( X230 = X231 )
| ~ $less(X231,X229)
| ( X228 = X229 )
| ( X228 = X230 )
| ( 5 != a(X229) )
| ( 10 != a(X231) ) )
& ! [X184: $int,X186: $int,X185: $int] :
( ~ $less(b(X186),3)
| ( 7 != a(X184) )
| ( 1 != a(X185) )
| ( 10 != a(X186) )
| ( X185 = X186 )
| ( X184 = X185 )
| ( 5 != b(X185) )
| ~ $less(X186,X185)
| ( 2 != b(X184) )
| ( X184 = X186 ) )
& ! [X136: $int,X134: $int,X135: $int] :
( ( 2 != b(X135) )
| ~ $less(X135,X134)
| ( 10 != a(X135) )
| ( 12 != a(X134) )
| ( 5 != a(X136) )
| ( X134 = X136 )
| ( X134 = X135 )
| ( X135 = X136 )
| ( 5 != b(X134) ) )
& ! [X262: $int,X263: $int,X264: $int] :
( ( 8 != a(X264) )
| ( 10 != a(X263) )
| ( 7 != a(X262) )
| ~ $less(X263,X262)
| ( X262 = X264 )
| ( X262 = X263 )
| ~ $less(b(X263),3)
| ( X263 = X264 ) )
& ! [X110: $int,X109: $int,X111: $int] :
( ( X110 = X111 )
| ( 6 != a(X111) )
| ~ $less(X109,X111)
| ( 5 != b(X110) )
| ( 10 != a(X109) )
| ( X109 = X110 )
| ~ $less(b(X109),3)
| ( X109 = X111 ) )
& ! [X286: $int,X284: $int,X285: $int,X287: $int] :
( ( X284 = X285 )
| ( X284 = X286 )
| ( 10 != a(X285) )
| ( X285 = X287 )
| ( X286 = X287 )
| ( 4 != a(X284) )
| ~ $less(b(X285),3)
| ~ $less(X285,X284)
| ( X284 = X287 )
| ( X285 = X286 )
| ( 5 != b(X287) )
| ( 1 != a(X286) ) )
& ! [X234: $int,X233: $int,X232: $int] :
( ( X233 = X234 )
| ( X232 = X234 )
| ( 10 != a(X233) )
| ( 5 != b(X234) )
| ( X232 = X233 )
| ( 5 != a(X232) )
| ( 4 != a(X234) )
| ( 2 != b(X233) )
| ~ $less(X233,X234) )
& ( z2 != z4 )
& ( z4 != z5 )
& ! [X260: $int,X261: $int,X259: $int] :
( ~ $less(X260,X261)
| ( 10 != a(X260) )
| ( X259 = X261 )
| ( 5 != b(X261) )
| ( X259 = X260 )
| ( 2 != b(X260) )
| ( X260 = X261 )
| ( 2 != a(X261) )
| ( 6 != a(X259) ) )
& ! [X89: $int,X88: $int,X90: $int] :
( ( X89 = X90 )
| ~ $less(X88,X90)
| ( 10 != a(X88) )
| ( X88 = X90 )
| ~ $less(b(X88),3)
| ( 3 != a(X90) )
| ( X88 = X89 )
| ~ $less(b(X90),4)
| ( 2 != b(X89) )
| ( 8 != a(X89) ) )
& ! [X253: $int,X254: $int,X255: $int] :
( ( X254 = X255 )
| ( 7 != a(X254) )
| ( 5 != b(X254) )
| ( X253 = X254 )
| ( 6 != a(X253) )
| ( 10 != a(X255) )
| ~ $less(b(X255),3)
| ~ $less(X255,X254)
| ( X253 = X255 ) )
& ! [X67: $int,X69: $int,X68: $int] :
( ( X67 = X68 )
| ( 6 != a(X69) )
| ( X68 = X69 )
| ( 2 != b(X67) )
| ~ $less(X67,X69)
| ( 4 != a(X68) )
| ( 5 != b(X69) )
| ( 10 != a(X67) )
| ( X67 = X69 ) )
& ! [X59: $int,X57: $int,X58: $int] :
( ~ $less(X57,X58)
| ( 5 != b(X58) )
| ( 6 != a(X58) )
| ( 5 != a(X59) )
| ( X57 = X58 )
| ( 10 != a(X57) )
| ( X57 = X59 )
| ( 2 != b(X57) )
| ( X58 = X59 ) )
& ! [X275: $int,X274: $int,X276: $int] :
( ( 10 != a(X275) )
| ~ $less(b(X275),3)
| ( 2 != b(X274) )
| ( X275 = X276 )
| ( X274 = X276 )
| ( X274 = X275 )
| ( 8 != a(X274) )
| ( 12 != a(X276) )
| ~ $less(X275,X276) )
& ( z1 != z2 )
& ! [X188: $int,X187: $int] :
( ~ $less(b(X187),3)
| ~ $less(X187,X188)
| ( X187 = X188 )
| ( 8 != a(X188) )
| ( 10 != a(X187) ) )
& ! [X50: $int,X52: $int,X51: $int,X49: $int] :
( ( 6 != a(X50) )
| ~ $less(X51,X50)
| ( 5 != b(X50) )
| ( 10 != a(X51) )
| ( 2 != b(X49) )
| ( X50 = X51 )
| ( X51 = X52 )
| ~ $less(b(X51),3)
| ( X49 = X50 )
| ( X49 = X51 )
| ( 5 != a(X52) )
| ( X49 = X52 )
| ( X50 = X52 ) )
& ! [X132: $int,X131: $int,X133: $int] :
( ( 10 != a(X131) )
| ~ $less(X131,X133)
| ( 5 != b(X133) )
| ( X131 = X133 )
| ( 4 != a(X133) )
| ( 2 != b(X131) )
| ( X132 = X133 )
| ( 4 != a(X132) )
| ( X131 = X132 ) )
& ! [X189: $int,X190: $int,X191: $int] :
( ( 10 != a(X191) )
| ( X190 = X191 )
| ( X189 = X190 )
| ( 5 != b(X189) )
| ( 2 != a(X189) )
| ( 7 != a(X190) )
| ~ $less(X191,X189)
| ~ $less(b(X191),3)
| ( 2 != b(X190) )
| ( X189 = X191 ) )
& ! [X205: $int,X207: $int,X206: $int] :
( ( X205 = X207 )
| ( X206 = X207 )
| ~ $less(X206,X205)
| ( 5 != b(X205) )
| ( X205 = X206 )
| ( 4 != a(X207) )
| ( 2 != b(X206) )
| ( 10 != a(X206) )
| ( 7 != a(X205) ) )
& ! [X24: $int,X26: $int,X25: $int] :
( ~ $less(X24,X25)
| ( X25 = X26 )
| ( X24 = X26 )
| ( X24 = X25 )
| ( 10 != a(X24) )
| ~ $less(b(X24),3)
| ( 5 != b(X26) )
| ( 7 != a(X25) ) )
& ! [X78: $int,X79: $int,X80: $int] :
( ( X79 = X80 )
| ( X78 = X79 )
| ~ $less(X78,X79)
| ( 5 != a(X79) )
| ( 10 != a(X78) )
| ( 6 != a(X80) )
| ( 2 != b(X78) )
| ( X78 = X80 )
| ( 5 != b(X79) ) )
& ! [X99: $int,X97: $int,X98: $int] :
( ( X97 = X99 )
| ~ $less(b(X98),3)
| ( X98 = X99 )
| ( 5 != b(X99) )
| ( X97 = X98 )
| ( 7 != a(X97) )
| ( 10 != a(X98) )
| ( 2 != b(X97) )
| ( 12 != a(X99) )
| ~ $less(X98,X99) )
& ! [X280: $int,X283: $int,X281: $int,X282: $int] :
( ( 12 != a(X282) )
| ( 5 != a(X281) )
| ( 5 != b(X280) )
| ( X281 = X283 )
| ( 10 != a(X283) )
| ~ $less(b(X283),3)
| ( X280 = X282 )
| ( X282 = X283 )
| ( X281 = X282 )
| ~ $less(X283,X281)
| ( X280 = X283 )
| ( X280 = X281 ) )
& ! [X2: $int,X1: $int,X0: $int] :
( ( 10 != a(X1) )
| ( b(X1) != 2 )
| ( X0 = X2 )
| ( a(X0) != 7 )
| ( 5 != b(X2) )
| ~ $less(b(X0),4)
| ( 12 != a(X2) )
| ~ $less(X1,X2)
| ( X1 = X2 )
| ( X0 = X1 ) )
& ! [X33: $int,X32: $int,X31: $int] :
( ( 7 != a(X32) )
| ( 10 != a(X33) )
| ( 2 != b(X33) )
| ~ $less(X33,X31)
| ( X31 = X32 )
| ( 4 != a(X31) )
| ( X31 = X33 )
| ( 5 != b(X31) )
| ( X32 = X33 ) )
& ! [X266: $int,X267: $int,X265: $int] :
( ( 7 != a(X267) )
| ( X265 = X267 )
| ( 10 != a(X265) )
| ( X265 = X266 )
| ~ $less(X265,X266)
| ( 7 != a(X266) )
| ( X266 = X267 )
| ( 5 != b(X266) )
| ~ $less(b(X265),3) )
& ! [X166: $int,X164: $int,X165: $int] :
( ( 8 != a(X164) )
| ( X164 = X165 )
| ( 3 != a(X165) )
| ~ $less(X166,X165)
| ( 10 != a(X166) )
| ~ $less(b(X164),4)
| ~ $less(b(X165),4)
| ( X165 = X166 )
| ( 2 != b(X166) )
| ( X164 = X166 ) )
& ! [X75: $int,X76: $int,X74: $int,X77: $int] :
( ( 8 != a(X74) )
| ( X74 = X75 )
| ( X75 = X76 )
| ( X74 = X77 )
| ( X76 = X77 )
| ~ $less(b(X77),3)
| ( 1 != a(X75) )
| ~ $less(X77,X76)
| ( 5 != a(X76) )
| ( X74 = X76 )
| ( 10 != a(X77) )
| ( X75 = X77 ) )
& ! [X272: $int,X271: $int,X273: $int] :
( ( 10 != a(X273) )
| ( 2 != b(X273) )
| ~ $less(b(X272),4)
| ( 1 != a(X271) )
| ( X271 = X273 )
| ( 5 != b(X271) )
| ~ $less(X273,X271)
| ( X272 = X273 )
| ( 7 != a(X272) )
| ( X271 = X272 ) )
& ! [X226: $int,X225: $int,X227: $int] :
( ( 5 != a(X227) )
| ( X226 = X227 )
| ( 5 != b(X225) )
| ( X225 = X227 )
| ~ $less(X226,X225)
| ( 10 != a(X226) )
| ( 1 != a(X225) )
| ( X225 = X226 )
| ( 2 != b(X226) ) )
& ! [X113: $int,X112: $int,X114: $int] :
( ( 2 != b(X113) )
| ( 5 != b(X114) )
| ( 5 != a(X112) )
| ( 10 != a(X113) )
| ( X113 = X114 )
| ~ $less(X113,X112)
| ( X112 = X113 )
| ( X112 = X114 ) )
& ! [X20: $int] :
( ~ $less(a(X20),1)
& ~ $less(12,a(X20)) )
& ( z2 != z3 )
& ! [X270: $int,X269: $int,X268: $int] :
( ( 1 != a(X270) )
| ( X268 = X269 )
| ~ $less(X269,X270)
| ( 10 != a(X269) )
| ( 2 != b(X269) )
| ( X269 = X270 )
| ( X268 = X270 )
| ( 4 != a(X268) )
| ( 5 != b(X270) ) )
& ! [X3: $int,X4: $int,X6: $int,X5: $int] :
( ~ $less(b(X3),3)
| ( 5 != b(X6) )
| ( X5 = X6 )
| ( 10 != a(X3) )
| ( X4 = X5 )
| ( X3 = X6 )
| ( X4 = X6 )
| ( 2 != b(X5) )
| ~ $less(X3,X4)
| ( X3 = X4 )
| ( 4 != a(X4) )
| ( X3 = X5 ) )
& ! [X236: $int,X235: $int,X238: $int,X237: $int] :
( ~ $less(b(X238),3)
| ( X235 = X238 )
| ( 5 != b(X235) )
| ~ $less(X238,X236)
| ( X235 = X236 )
| ( X237 = X238 )
| ( X236 = X237 )
| ( 5 != a(X236) )
| ( X236 = X238 )
| ( 10 != a(X238) )
| ( X235 = X237 )
| ( 2 != b(X237) ) )
& ! [X127: $int,X128: $int,X130: $int,X129: $int] :
( ( X127 = X130 )
| ~ $less(b(X127),4)
| ( X128 = X130 )
| ( X127 = X129 )
| ( X128 = X129 )
| ( 2 != b(X129) )
| ( X127 = X128 )
| ~ $less(b(X128),3)
| ( 3 != a(X127) )
| ( 5 != b(X130) )
| ( 10 != a(X128) )
| ( 7 != a(X129) )
| ~ $less(X128,X127)
| ( X129 = X130 ) )
& ! [X35: $int,X36: $int,X34: $int,X37: $int] :
( ( X34 = X36 )
| ( 10 != a(X36) )
| ( 7 != a(X35) )
| ( X35 = X36 )
| ( X34 = X35 )
| ( 2 != b(X36) )
| ( X34 = X37 )
| ( 1 != a(X34) )
| ( X36 = X37 )
| ( X35 = X37 )
| ( 5 != b(X37) )
| ~ $less(X36,X34)
| ~ $less(b(X35),4) )
& ! [X40: $int,X39: $int,X38: $int,X41: $int] :
( ( 4 != a(X38) )
| ~ $less(b(X41),3)
| ( X38 = X40 )
| ( X40 = X41 )
| ( 10 != a(X41) )
| ( X39 = X41 )
| ( X38 = X39 )
| ~ $less(X41,X38)
| ( X39 = X40 )
| ( 2 != b(X40) )
| ( X38 = X41 )
| ( 8 != a(X39) ) )
& ! [X248: $int,X246: $int,X247: $int] :
( ( X247 = X248 )
| ( 5 != a(X248) )
| ( X246 = X248 )
| ( 5 != b(X246) )
| ( X246 = X247 )
| ~ $less(X247,X246)
| ( 2 != b(X247) )
| ( 7 != a(X246) )
| ( 10 != a(X247) ) )
& ! [X182: $int,X183: $int,X181: $int] :
( ( 2 != b(X182) )
| ( X181 = X182 )
| ( 5 != b(X183) )
| ( 5 != a(X183) )
| ( 5 != a(X181) )
| ~ $less(X182,X183)
| ( 10 != a(X182) )
| ( X181 = X183 )
| ( X182 = X183 ) )
& ! [X115: $int,X116: $int,X118: $int,X117: $int] :
( ( 7 != a(X118) )
| ( X115 = X118 )
| ( X115 = X116 )
| ( X116 = X117 )
| ( X116 = X118 )
| ( 10 != a(X115) )
| ( 5 != b(X118) )
| ( 2 != b(X117) )
| ( X115 = X117 )
| ( X117 = X118 )
| ( 4 != a(X116) )
| ~ $less(X115,X118)
| ~ $less(b(X115),3) )
& ( z3 != z5 )
& ! [X170: $int,X168: $int,X169: $int,X167: $int] :
( ~ $less(b(X170),3)
| ( X167 = X169 )
| ~ $less(b(X169),4)
| ( 10 != a(X170) )
| ~ $less(b(X168),4)
| ( 3 != a(X168) )
| ( 8 != a(X169) )
| ( X168 = X170 )
| ~ $less(X170,X168)
| ( X167 = X168 )
| ( X169 = X170 )
| ( X168 = X169 )
| ( X167 = X170 )
| ( 2 != b(X167) ) )
& ( z1 != z5 )
& ! [X277: $int,X279: $int,X278: $int] :
( ( 10 != a(X279) )
| ~ $less(b(X279),3)
| ( 8 != a(X277) )
| ( 4 != a(X278) )
| ~ $less(X279,X278)
| ( X277 = X278 )
| ( X277 = X279 )
| ( X278 = X279 )
| ( 2 != b(X277) ) )
& ! [X249: $int,X250: $int,X251: $int,X252: $int] :
( ( 7 != a(X250) )
| ~ $less(b(X251),3)
| ( X249 = X252 )
| ( 10 != a(X251) )
| ( X250 = X252 )
| ( X251 = X252 )
| ( X249 = X251 )
| ( X250 = X251 )
| ( 5 != b(X252) )
| ( X249 = X250 )
| ( 5 != a(X252) )
| ( 2 != b(X249) )
| ~ $less(X251,X252) )
& ! [X243: $int,X245: $int,X244: $int,X242: $int] :
( ( X242 = X244 )
| ~ $less(X242,X244)
| ( 10 != a(X242) )
| ( X244 = X245 )
| ( 3 != a(X244) )
| ( 2 != b(X242) )
| ( 7 != a(X245) )
| ( X242 = X245 )
| ( 5 != b(X243) )
| ( X243 = X245 )
| ~ $less(b(X244),4)
| ( X242 = X243 )
| ( X243 = X244 )
| ~ $less(b(X245),4) )
& ! [X256: $int,X257: $int,X258: $int] :
( ( X256 = X258 )
| ~ $less(X256,X257)
| ( 5 != b(X257) )
| ( X256 = X257 )
| ( X257 = X258 )
| ( 2 != b(X256) )
| ( 4 != a(X257) )
| ( 10 != a(X256) )
| ( 6 != a(X258) ) )
& ! [X56: $int,X54: $int,X55: $int,X53: $int] :
( ( 5 != b(X54) )
| ( 2 != b(X56) )
| ( X53 = X54 )
| ( X54 = X56 )
| ( X53 = X55 )
| ( X55 = X56 )
| ( 12 != a(X53) )
| ~ $less(X56,X53)
| ( 10 != a(X56) )
| ( X54 = X55 )
| ( X53 = X56 )
| ( 7 != a(X55) )
| ~ $less(b(X55),4) )
& ! [X219: $int,X220: $int,X218: $int] :
( ( 8 != a(X220) )
| ( X218 = X219 )
| ( 2 != b(X220) )
| ~ $less(X218,X219)
| ( X219 = X220 )
| ( X218 = X220 )
| ( 10 != a(X218) )
| ~ $less(b(X218),3)
| ( 1 != a(X219) ) )
& ! [X62: $int,X63: $int,X60: $int,X61: $int] :
( ( 8 != a(X60) )
| ( X60 = X61 )
| ( 5 != a(X61) )
| ~ $less(X63,X61)
| ( X60 = X62 )
| ( X61 = X63 )
| ( X62 = X63 )
| ~ $less(b(X63),3)
| ( 2 != b(X62) )
| ( 10 != a(X63) )
| ( X61 = X62 )
| ( X60 = X63 ) )
& ! [X73: $int,X72: $int,X70: $int,X71: $int] :
( ( X70 = X72 )
| ( X71 = X72 )
| ( X70 = X73 )
| ( X71 = X73 )
| ( X70 = X71 )
| ( 10 != a(X73) )
| ~ $less(b(X73),3)
| ( 5 != b(X72) )
| ( 4 != a(X71) )
| ( 2 != a(X70) )
| ~ $less(X73,X71)
| ( X72 = X73 ) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f7,plain,
( ( a(z1) = 4 )
& ! [X178: $int,X180: $int,X177: $int,X179: $int] :
( ( X177 = X179 )
| ~ $less(b(X177),3)
| ( 12 != a(X178) )
| ( 5 != b(X179) )
| ( X179 = X180 )
| ~ $less(X177,X178)
| ( X178 = X179 )
| ( X177 = X180 )
| ( 7 != a(X180) )
| ( X178 = X180 )
| ( 10 != a(X177) )
| ( 2 != b(X180) )
| ( X177 = X178 ) )
& ( b(z3) = 2 )
& ! [X33: $int,X32: $int,X31: $int] :
( ( 7 != a(X32) )
| ( 10 != a(X33) )
| ( 2 != b(X33) )
| ~ $less(X33,X31)
| ( X31 = X32 )
| ( 4 != a(X31) )
| ( X31 = X33 )
| ( 5 != b(X31) )
| ( X32 = X33 ) )
& ! [X249: $int,X250: $int,X251: $int,X252: $int] :
( ( 7 != a(X250) )
| ~ $less(b(X251),3)
| ( X249 = X252 )
| ( 10 != a(X251) )
| ( X250 = X252 )
| ( X251 = X252 )
| ( X249 = X251 )
| ( X250 = X251 )
| ( 5 != b(X252) )
| ( X249 = X250 )
| ( 5 != a(X252) )
| ( 2 != b(X249) )
| ~ $less(X251,X252) )
& ! [X10: $int,X8: $int,X7: $int,X9: $int] :
( ( X7 = X10 )
| ( X8 = X10 )
| ~ $less(X7,X9)
| ~ $less(b(X7),3)
| ( X7 = X9 )
| ( 10 != a(X7) )
| ( X9 = X10 )
| ( 5 != b(X9) )
| ( X8 = X9 )
| ( 5 != a(X8) )
| ( 7 != a(X9) )
| ( X7 = X8 )
| ( 2 != b(X10) ) )
& ! [X219: $int,X220: $int,X218: $int] :
( ( 8 != a(X220) )
| ( X218 = X219 )
| ( 2 != b(X220) )
| ~ $less(X218,X219)
| ( X219 = X220 )
| ( X218 = X220 )
| ( 10 != a(X218) )
| ~ $less(b(X218),3)
| ( 1 != a(X219) ) )
& ! [X160: $int,X161: $int,X163: $int,X162: $int] :
( ~ $less(X163,X162)
| ( 10 != a(X163) )
| ( X161 = X163 )
| ( 7 != a(X160) )
| ( X161 = X162 )
| ( 5 != a(X162) )
| ( X160 = X162 )
| ( X160 = X163 )
| ~ $less(b(X163),3)
| ( X160 = X161 )
| ( 2 != a(X161) )
| ( X162 = X163 )
| ( 5 != b(X162) ) )
& ( z1 != z3 )
& ! [X176: $int,X175: $int,X174: $int] :
( ( 5 != a(X175) )
| ( 2 != b(X176) )
| ~ $less(X176,X175)
| ( 10 != a(X176) )
| ( 8 != a(X174) )
| ( X174 = X176 )
| ( X174 = X175 )
| ( X175 = X176 ) )
& ! [X243: $int,X245: $int,X244: $int,X242: $int] :
( ( X242 = X244 )
| ~ $less(X242,X244)
| ( 10 != a(X242) )
| ( X244 = X245 )
| ( 3 != a(X244) )
| ( 2 != b(X242) )
| ( 7 != a(X245) )
| ( X242 = X245 )
| ( 5 != b(X243) )
| ( X243 = X245 )
| ~ $less(b(X244),4)
| ( X242 = X243 )
| ( X243 = X244 )
| ~ $less(b(X245),4) )
& ! [X107: $int,X108: $int,X106: $int] :
( ( X106 = X108 )
| ( X106 = X107 )
| ( 5 != b(X107) )
| ( X107 = X108 )
| ~ $less(b(X108),3)
| ( 5 != a(X107) )
| ~ $less(X108,X107)
| ( 7 != a(X106) )
| ( 10 != a(X108) )
| ( 2 != b(X106) ) )
& ! [X20: $int] :
( ~ $less(a(X20),1)
& ~ $less(12,a(X20)) )
& ! [X125: $int,X124: $int,X123: $int,X122: $int] :
( ( 10 != a(X122) )
| ( X123 = X125 )
| ( 2 != b(X124) )
| ( 6 != a(X125) )
| ( 5 != b(X123) )
| ~ $less(X122,X123)
| ( X122 = X125 )
| ~ $less(b(X122),3)
| ( X124 = X125 )
| ( X122 = X123 )
| ( X122 = X124 )
| ( X123 = X124 )
| ( 5 != a(X123) ) )
& ! [X59: $int,X57: $int,X58: $int] :
( ~ $less(X57,X58)
| ( 5 != b(X58) )
| ( 6 != a(X58) )
| ( 5 != a(X59) )
| ( X57 = X58 )
| ( 10 != a(X57) )
| ( X57 = X59 )
| ( 2 != b(X57) )
| ( X58 = X59 ) )
& ! [X137: $int,X138: $int,X139: $int] :
( ( 2 != a(X138) )
| ( 2 != b(X137) )
| ( X137 = X138 )
| ( 8 != a(X139) )
| ~ $less(X137,X138)
| ~ $less(b(X139),4)
| ( X138 = X139 )
| ( X137 = X139 )
| ( 10 != a(X137) ) )
& ! [X226: $int,X225: $int,X227: $int] :
( ( 5 != a(X227) )
| ( X226 = X227 )
| ( 5 != b(X225) )
| ( X225 = X227 )
| ~ $less(X226,X225)
| ( 10 != a(X226) )
| ( 1 != a(X225) )
| ( X225 = X226 )
| ( 2 != b(X226) ) )
& ! [X213: $int,X210: $int,X212: $int,X211: $int] :
( ( X210 = X212 )
| ( X211 = X212 )
| ( 10 != a(X213) )
| ~ $less(b(X213),3)
| ( 5 != a(X211) )
| ( 2 != a(X212) )
| ( X210 = X213 )
| ( 5 != b(X210) )
| ( X212 = X213 )
| ( 7 != a(X210) )
| ~ $less(X213,X210)
| ( X211 = X213 )
| ( X210 = X211 ) )
& ! [X209: $int,X208: $int] :
( ~ $less(X208,X209)
| ( 9 != a(X209) )
| ( 10 != a(X208) )
| ~ $less(b(X208),3)
| ( X208 = X209 ) )
& ! [X73: $int,X72: $int,X70: $int,X71: $int] :
( ( X70 = X72 )
| ( X71 = X72 )
| ( X70 = X73 )
| ( X71 = X73 )
| ( X70 = X71 )
| ( 10 != a(X73) )
| ~ $less(b(X73),3)
| ( 5 != b(X72) )
| ( 4 != a(X71) )
| ( 2 != a(X70) )
| ~ $less(X73,X71)
| ( X72 = X73 ) )
& ! [X248: $int,X246: $int,X247: $int] :
( ( X247 = X248 )
| ( 5 != a(X248) )
| ( X246 = X248 )
| ( 5 != b(X246) )
| ( X246 = X247 )
| ~ $less(X247,X246)
| ( 2 != b(X247) )
| ( 7 != a(X246) )
| ( 10 != a(X247) ) )
& ! [X234: $int,X233: $int,X232: $int] :
( ( X233 = X234 )
| ( X232 = X234 )
| ( 10 != a(X233) )
| ( 5 != b(X234) )
| ( X232 = X233 )
| ( 5 != a(X232) )
| ( 4 != a(X234) )
| ( 2 != b(X233) )
| ~ $less(X233,X234) )
& ! [X113: $int,X112: $int,X114: $int] :
( ( 2 != b(X113) )
| ( 5 != b(X114) )
| ( 5 != a(X112) )
| ( 10 != a(X113) )
| ( X113 = X114 )
| ~ $less(X113,X112)
| ( X112 = X113 )
| ( X112 = X114 ) )
& ! [X214: $int,X215: $int,X216: $int,X217: $int] :
( ( X215 = X217 )
| ( 5 != b(X217) )
| ~ $less(b(X214),3)
| ( X215 = X216 )
| ( 2 != b(X215) )
| ( X214 = X215 )
| ( X214 = X217 )
| ( 7 != a(X215) )
| ( 1 != a(X216) )
| ~ $less(X214,X216)
| ( X214 = X216 )
| ( 10 != a(X214) )
| ( X216 = X217 ) )
& ! [X253: $int,X254: $int,X255: $int] :
( ( X254 = X255 )
| ( 7 != a(X254) )
| ( 5 != b(X254) )
| ( X253 = X254 )
| ( 6 != a(X253) )
| ( 10 != a(X255) )
| ~ $less(b(X255),3)
| ~ $less(X255,X254)
| ( X253 = X255 ) )
& ! [X93: $int,X92: $int,X91: $int] :
( ( X91 = X92 )
| ( 10 != a(X91) )
| ( X91 = X93 )
| ( 5 != b(X93) )
| ( 4 != a(X92) )
| ( X92 = X93 )
| ( 2 != b(X91) )
| ~ $less(X91,X92) )
& ! [X11: $int,X13: $int,X12: $int] :
( ( 2 != b(X11) )
| ~ $less(X11,X13)
| ( 10 != a(X11) )
| ( 1 != a(X13) )
| ( 8 != a(X12) )
| ~ $less(b(X12),4)
| ( X11 = X12 )
| ( X11 = X13 )
| ( X12 = X13 ) )
& ! [X24: $int,X26: $int,X25: $int] :
( ~ $less(X24,X25)
| ( X25 = X26 )
| ( X24 = X26 )
| ( X24 = X25 )
| ( 10 != a(X24) )
| ~ $less(b(X24),3)
| ( 5 != b(X26) )
| ( 7 != a(X25) ) )
& ! [X275: $int,X274: $int,X276: $int] :
( ( 10 != a(X275) )
| ~ $less(b(X275),3)
| ( 2 != b(X274) )
| ( X275 = X276 )
| ( X274 = X276 )
| ( X274 = X275 )
| ( 8 != a(X274) )
| ( 12 != a(X276) )
| ~ $less(X275,X276) )
& ! [X19: $int,X18: $int,X17: $int] :
( ( 2 != b(X19) )
| ( X17 = X18 )
| ( 5 != a(X18) )
| ( X18 = X19 )
| ( 10 != a(X19) )
| ( 4 != a(X17) )
| ( 5 != b(X18) )
| ~ $less(X19,X18)
| ( X17 = X19 ) )
& ! [X110: $int,X109: $int,X111: $int] :
( ( X110 = X111 )
| ( 6 != a(X111) )
| ~ $less(X109,X111)
| ( 5 != b(X110) )
| ( 10 != a(X109) )
| ( X109 = X110 )
| ~ $less(b(X109),3)
| ( X109 = X111 ) )
& ! [X44: $int,X43: $int,X42: $int] :
( ( X42 = X43 )
| ~ $less(X43,X44)
| ( 2 != b(X43) )
| ( 8 != a(X42) )
| ( X43 = X44 )
| ( 10 != a(X43) )
| ( X42 = X44 )
| ( 4 != a(X44) ) )
& ! [X66: $int,X65: $int,X64: $int] :
( ( X64 = X65 )
| ( 5 != a(X65) )
| ( 10 != a(X64) )
| ( 5 != b(X66) )
| ( X65 = X66 )
| ( X64 = X66 )
| ~ $less(X64,X66)
| ( 2 != a(X66) )
| ( 2 != b(X64) ) )
& ! [X2: $int,X1: $int,X0: $int] :
( ( 10 != a(X1) )
| ( b(X1) != 2 )
| ( X0 = X2 )
| ( a(X0) != 7 )
| ( 5 != b(X2) )
| ~ $less(b(X0),4)
| ( 12 != a(X2) )
| ~ $less(X1,X2)
| ( X1 = X2 )
| ( X0 = X1 ) )
& ! [X48: $int,X46: $int,X47: $int,X45: $int] :
( ( X46 = X47 )
| ( X45 = X47 )
| ( X45 = X46 )
| ( 8 != a(X48) )
| ( 10 != a(X45) )
| ( 2 != a(X46) )
| ~ $less(b(X45),3)
| ~ $less(X45,X47)
| ( X47 = X48 )
| ( X46 = X48 )
| ( X45 = X48 )
| ( 4 != a(X47) ) )
& ! [X95: $int,X94: $int,X96: $int] :
( ( X95 = X96 )
| ( 2 != b(X94) )
| ~ $less(X96,X95)
| ~ $less(b(X96),3)
| ( X94 = X95 )
| ( 5 != a(X95) )
| ( 8 != a(X94) )
| ( 10 != a(X96) )
| ( X94 = X96 ) )
& ! [X184: $int,X186: $int,X185: $int] :
( ~ $less(b(X186),3)
| ( 7 != a(X184) )
| ( 1 != a(X185) )
| ( 10 != a(X186) )
| ( X185 = X186 )
| ( X184 = X185 )
| ( 5 != b(X185) )
| ~ $less(X186,X185)
| ( 2 != b(X184) )
| ( X184 = X186 ) )
& ! [X23: $int,X21: $int,X22: $int] :
( ( X22 = X23 )
| ~ $less(X21,X22)
| ( X21 = X23 )
| ( 6 != a(X23) )
| ( 10 != a(X21) )
| ( 5 != b(X22) )
| ( 12 != a(X22) )
| ( 2 != b(X21) )
| ( X21 = X22 ) )
& ( z1 != z5 )
& ! [X188: $int,X187: $int] :
( ~ $less(b(X187),3)
| ~ $less(X187,X188)
| ( X187 = X188 )
| ( 8 != a(X188) )
| ( 10 != a(X187) ) )
& ! [X262: $int,X263: $int,X264: $int] :
( ( 8 != a(X264) )
| ( 10 != a(X263) )
| ( 7 != a(X262) )
| ~ $less(X263,X262)
| ( X262 = X264 )
| ( X262 = X263 )
| ~ $less(b(X263),3)
| ( X263 = X264 ) )
& ! [X121: $int,X120: $int,X119: $int] :
( ( 5 != b(X120) )
| ( X119 = X121 )
| ( 12 != a(X120) )
| ( 2 != b(X119) )
| ( X120 = X121 )
| ( 4 != a(X121) )
| ~ $less(X119,X120)
| ( X119 = X120 )
| ( 10 != a(X119) ) )
& ! [X99: $int,X97: $int,X98: $int] :
( ( X97 = X99 )
| ~ $less(b(X98),3)
| ( X98 = X99 )
| ( 5 != b(X99) )
| ( X97 = X98 )
| ( 7 != a(X97) )
| ( 10 != a(X98) )
| ( 2 != b(X97) )
| ( 12 != a(X99) )
| ~ $less(X98,X99) )
& ! [X148: $int,X149: $int,X147: $int] :
( ( 2 != b(X149) )
| ( X147 = X149 )
| ( X148 = X149 )
| ( 10 != a(X147) )
| ( X147 = X148 )
| ~ $less(X147,X148)
| ( 6 != a(X149) )
| ~ $less(b(X147),3)
| ( 5 != b(X148) )
| ( 5 != a(X148) ) )
& ! [X40: $int,X39: $int,X38: $int,X41: $int] :
( ( 4 != a(X38) )
| ~ $less(b(X41),3)
| ( X38 = X40 )
| ( X40 = X41 )
| ( 10 != a(X41) )
| ( X39 = X41 )
| ( X38 = X39 )
| ~ $less(X41,X38)
| ( X39 = X40 )
| ( 2 != b(X40) )
| ( X38 = X41 )
| ( 8 != a(X39) ) )
& ! [X280: $int,X283: $int,X281: $int,X282: $int] :
( ( 12 != a(X282) )
| ( 5 != a(X281) )
| ( 5 != b(X280) )
| ( X281 = X283 )
| ( 10 != a(X283) )
| ~ $less(b(X283),3)
| ( X280 = X282 )
| ( X282 = X283 )
| ( X281 = X282 )
| ~ $less(X283,X281)
| ( X280 = X283 )
| ( X280 = X281 ) )
& ! [X221: $int,X223: $int,X224: $int,X222: $int] :
( ( X221 = X222 )
| ( 10 != a(X221) )
| ( X221 = X223 )
| ( X221 = X224 )
| ( X223 = X224 )
| ( 5 != b(X223) )
| ( X222 = X223 )
| ( 4 != a(X223) )
| ( 2 != b(X222) )
| ( X222 = X224 )
| ( 7 != a(X224) )
| ~ $less(X221,X223)
| ~ $less(b(X221),3) )
& ! [X192: $int,X193: $int,X194: $int] :
( ( 1 != a(X193) )
| ( 10 != a(X192) )
| ~ $less(X192,X193)
| ( 6 != a(X194) )
| ( 5 != b(X193) )
| ( X192 = X194 )
| ( X192 = X193 )
| ( 2 != b(X192) )
| ( X193 = X194 ) )
& ! [X157: $int,X154: $int,X155: $int,X156: $int] :
( ( 10 != a(X155) )
| ( X154 = X157 )
| ( X155 = X157 )
| ( 7 != a(X156) )
| ( 5 != b(X154) )
| ( 5 != a(X157) )
| ~ $less(X155,X157)
| ( X155 = X156 )
| ( 2 != a(X154) )
| ~ $less(b(X155),3)
| ( X154 = X155 )
| ( X156 = X157 )
| ( X154 = X156 ) )
& ! [X236: $int,X235: $int,X238: $int,X237: $int] :
( ~ $less(b(X238),3)
| ( X235 = X238 )
| ( 5 != b(X235) )
| ~ $less(X238,X236)
| ( X235 = X236 )
| ( X237 = X238 )
| ( X236 = X237 )
| ( 5 != a(X236) )
| ( X236 = X238 )
| ( 10 != a(X238) )
| ( X235 = X237 )
| ( 2 != b(X237) ) )
& ! [X82: $int,X81: $int,X83: $int] :
( ( 5 != b(X83) )
| ( 10 != a(X82) )
| ~ $less(b(X82),3)
| ( 7 != a(X81) )
| ( 6 != a(X83) )
| ( X82 = X83 )
| ~ $less(X82,X83)
| ( X81 = X83 )
| ( X81 = X82 ) )
& ! [X35: $int,X36: $int,X34: $int,X37: $int] :
( ( X34 = X36 )
| ( 10 != a(X36) )
| ( 7 != a(X35) )
| ( X35 = X36 )
| ( X34 = X35 )
| ( 2 != b(X36) )
| ( X34 = X37 )
| ( 1 != a(X34) )
| ( X36 = X37 )
| ( X35 = X37 )
| ( 5 != b(X37) )
| ~ $less(X36,X34)
| ~ $less(b(X35),4) )
& ! [X3: $int,X4: $int,X6: $int,X5: $int] :
( ~ $less(b(X3),3)
| ( 5 != b(X6) )
| ( X5 = X6 )
| ( 10 != a(X3) )
| ( X4 = X5 )
| ( X3 = X6 )
| ( X4 = X6 )
| ( 2 != b(X5) )
| ~ $less(X3,X4)
| ( X3 = X4 )
| ( 4 != a(X4) )
| ( X3 = X5 ) )
& $less(z2,z1)
& ! [X240: $int,X239: $int,X241: $int] :
( ( 10 != a(X239) )
| ( 5 != b(X240) )
| ( X239 = X240 )
| ( X240 = X241 )
| ( 2 != a(X240) )
| ~ $less(X239,X240)
| ( X239 = X241 )
| ( 4 != a(X241) )
| ( 2 != b(X239) ) )
& ( b(z4) = 5 )
& ( z3 != z4 )
& ! [X132: $int,X131: $int,X133: $int] :
( ( 10 != a(X131) )
| ~ $less(X131,X133)
| ( 5 != b(X133) )
| ( X131 = X133 )
| ( 4 != a(X133) )
| ( 2 != b(X131) )
| ( X132 = X133 )
| ( 4 != a(X132) )
| ( X131 = X132 ) )
& ! [X136: $int,X134: $int,X135: $int] :
( ( 2 != b(X135) )
| ~ $less(X135,X134)
| ( 10 != a(X135) )
| ( 12 != a(X134) )
| ( 5 != a(X136) )
| ( X134 = X136 )
| ( X134 = X135 )
| ( X135 = X136 )
| ( 5 != b(X134) ) )
& ( z4 != z5 )
& ( a(z3) = 7 )
& ! [X50: $int,X52: $int,X51: $int,X49: $int] :
( ( 6 != a(X50) )
| ~ $less(X51,X50)
| ( 5 != b(X50) )
| ( 10 != a(X51) )
| ( 2 != b(X49) )
| ( X50 = X51 )
| ( X51 = X52 )
| ~ $less(b(X51),3)
| ( X49 = X50 )
| ( X49 = X51 )
| ( 5 != a(X52) )
| ( X49 = X52 )
| ( X50 = X52 ) )
& ! [X200: $int,X199: $int,X198: $int] :
( ( X199 = X200 )
| ( X198 = X199 )
| ( X198 = X200 )
| ( 6 != a(X199) )
| ~ $less(b(X200),3)
| ~ $less(X200,X198)
| ( 10 != a(X200) )
| ( 6 != a(X198) )
| ( 5 != b(X198) ) )
& ! [X272: $int,X271: $int,X273: $int] :
( ( 10 != a(X273) )
| ( 2 != b(X273) )
| ~ $less(b(X272),4)
| ( 1 != a(X271) )
| ( X271 = X273 )
| ( 5 != b(X271) )
| ~ $less(X273,X271)
| ( X272 = X273 )
| ( 7 != a(X272) )
| ( X271 = X272 ) )
& ! [X170: $int,X168: $int,X169: $int,X167: $int] :
( ~ $less(b(X170),3)
| ( X167 = X169 )
| ~ $less(b(X169),4)
| ( 10 != a(X170) )
| ~ $less(b(X168),4)
| ( 3 != a(X168) )
| ( 8 != a(X169) )
| ( X168 = X170 )
| ~ $less(X170,X168)
| ( X167 = X168 )
| ( X169 = X170 )
| ( X168 = X169 )
| ( X167 = X170 )
| ( 2 != b(X167) ) )
& ! [X205: $int,X207: $int,X206: $int] :
( ( X205 = X207 )
| ( X206 = X207 )
| ~ $less(X206,X205)
| ( 5 != b(X205) )
| ( X205 = X206 )
| ( 4 != a(X207) )
| ( 2 != b(X206) )
| ( 10 != a(X206) )
| ( 7 != a(X205) ) )
& ! [X126: $int] :
( ~ $less(5,b(X126))
& ~ $less(b(X126),1) )
& ! [X145: $int,X146: $int,X144: $int,X143: $int] :
( ( X143 = X145 )
| ( X143 = X146 )
| ( 7 != a(X144) )
| ( X145 = X146 )
| ( X144 = X145 )
| ( X143 = X144 )
| ( 10 != a(X143) )
| ~ $less(b(X143),3)
| ( 2 != a(X146) )
| ~ $less(X143,X146)
| ( 2 != b(X144) )
| ( X144 = X146 )
| ( 5 != b(X145) ) )
& ! [X270: $int,X269: $int,X268: $int] :
( ( 1 != a(X270) )
| ( X268 = X269 )
| ~ $less(X269,X270)
| ( 10 != a(X269) )
| ( 2 != b(X269) )
| ( X269 = X270 )
| ( X268 = X270 )
| ( 4 != a(X268) )
| ( 5 != b(X270) ) )
& ! [X101: $int,X102: $int,X100: $int] :
( ( 7 != a(X102) )
| ( 4 != a(X100) )
| ( X101 = X102 )
| ( 10 != a(X101) )
| ( 5 != b(X100) )
| ( X100 = X101 )
| ~ $less(X101,X100)
| ( 2 != b(X102) )
| ~ $less(b(X101),3)
| ( X100 = X102 ) )
& ! [X266: $int,X267: $int,X265: $int] :
( ( 7 != a(X267) )
| ( X265 = X267 )
| ( 10 != a(X265) )
| ( X265 = X266 )
| ~ $less(X265,X266)
| ( 7 != a(X266) )
| ( X266 = X267 )
| ( 5 != b(X266) )
| ~ $less(b(X265),3) )
& ! [X30: $int,X27: $int,X29: $int,X28: $int] :
( ( X28 = X29 )
| ( 10 != a(X27) )
| ~ $less(X27,X28)
| ~ $less(b(X29),4)
| ( X28 = X30 )
| ( X29 = X30 )
| ( X27 = X28 )
| ( X27 = X29 )
| ( 5 != b(X30) )
| ( 7 != a(X29) )
| ( 2 != b(X27) )
| ( 2 != a(X28) )
| ( X27 = X30 ) )
& ! [X67: $int,X69: $int,X68: $int] :
( ( X67 = X68 )
| ( 6 != a(X69) )
| ( X68 = X69 )
| ( 2 != b(X67) )
| ~ $less(X67,X69)
| ( 4 != a(X68) )
| ( 5 != b(X69) )
| ( 10 != a(X67) )
| ( X67 = X69 ) )
& ! [X159: $int,X158: $int] :
( ( 10 != a(X158) )
| ( X158 = X159 )
| ( 10 != a(X159) ) )
& ! [X189: $int,X190: $int,X191: $int] :
( ( 10 != a(X191) )
| ( X190 = X191 )
| ( X189 = X190 )
| ( 5 != b(X189) )
| ( 2 != a(X189) )
| ( 7 != a(X190) )
| ~ $less(X191,X189)
| ~ $less(b(X191),3)
| ( 2 != b(X190) )
| ( X189 = X191 ) )
& ( z1 != z4 )
& ! [X89: $int,X88: $int,X90: $int] :
( ( X89 = X90 )
| ~ $less(X88,X90)
| ( 10 != a(X88) )
| ( X88 = X90 )
| ~ $less(b(X88),3)
| ( 3 != a(X90) )
| ( X88 = X89 )
| ~ $less(b(X90),4)
| ( 2 != b(X89) )
| ( 8 != a(X89) ) )
& ! [X260: $int,X261: $int,X259: $int] :
( ~ $less(X260,X261)
| ( 10 != a(X260) )
| ( X259 = X261 )
| ( 5 != b(X261) )
| ( X259 = X260 )
| ( 2 != b(X260) )
| ( X260 = X261 )
| ( 2 != a(X261) )
| ( 6 != a(X259) ) )
& ! [X195: $int,X197: $int,X196: $int] :
( ~ $less(b(X195),4)
| ( 12 != a(X196) )
| ( X195 = X196 )
| ( 10 != a(X197) )
| ( 2 != b(X197) )
| ~ $less(X197,X196)
| ( X196 = X197 )
| ( X195 = X197 )
| ( 8 != a(X195) ) )
& ! [X78: $int,X79: $int,X80: $int] :
( ( X79 = X80 )
| ( X78 = X79 )
| ~ $less(X78,X79)
| ( 5 != a(X79) )
| ( 10 != a(X78) )
| ( 6 != a(X80) )
| ( 2 != b(X78) )
| ( X78 = X80 )
| ( 5 != b(X79) ) )
& ! [X256: $int,X257: $int,X258: $int] :
( ( X256 = X258 )
| ~ $less(X256,X257)
| ( 5 != b(X257) )
| ( X256 = X257 )
| ( X257 = X258 )
| ( 2 != b(X256) )
| ( 4 != a(X257) )
| ( 10 != a(X256) )
| ( 6 != a(X258) ) )
& ! [X75: $int,X76: $int,X74: $int,X77: $int] :
( ( 8 != a(X74) )
| ( X74 = X75 )
| ( X75 = X76 )
| ( X74 = X77 )
| ( X76 = X77 )
| ~ $less(b(X77),3)
| ( 1 != a(X75) )
| ~ $less(X77,X76)
| ( 5 != a(X76) )
| ( X74 = X76 )
| ( 10 != a(X77) )
| ( X75 = X77 ) )
& ! [X182: $int,X183: $int,X181: $int] :
( ( 2 != b(X182) )
| ( X181 = X182 )
| ( 5 != b(X183) )
| ( 5 != a(X183) )
| ( 5 != a(X181) )
| ~ $less(X182,X183)
| ( 10 != a(X182) )
| ( X181 = X183 )
| ( X182 = X183 ) )
& ( z3 != z5 )
& ! [X229: $int,X230: $int,X231: $int,X228: $int] :
( ( 1 != a(X228) )
| ( X228 = X231 )
| ( X229 = X230 )
| ( 5 != b(X230) )
| ( X229 = X231 )
| ~ $less(b(X231),3)
| ( X230 = X231 )
| ~ $less(X231,X229)
| ( X228 = X229 )
| ( X228 = X230 )
| ( 5 != a(X229) )
| ( 10 != a(X231) ) )
& ( z1 != z2 )
& ! [X56: $int,X54: $int,X55: $int,X53: $int] :
( ( 5 != b(X54) )
| ( 2 != b(X56) )
| ( X53 = X54 )
| ( X54 = X56 )
| ( X53 = X55 )
| ( X55 = X56 )
| ( 12 != a(X53) )
| ~ $less(X56,X53)
| ( 10 != a(X56) )
| ( X54 = X55 )
| ( X53 = X56 )
| ( 7 != a(X55) )
| ~ $less(b(X55),4) )
& ! [X127: $int,X128: $int,X130: $int,X129: $int] :
( ( X127 = X130 )
| ~ $less(b(X127),4)
| ( X128 = X130 )
| ( X127 = X129 )
| ( X128 = X129 )
| ( 2 != b(X129) )
| ( X127 = X128 )
| ~ $less(b(X128),3)
| ( 3 != a(X127) )
| ( 5 != b(X130) )
| ( 10 != a(X128) )
| ( 7 != a(X129) )
| ~ $less(X128,X127)
| ( X129 = X130 ) )
& ! [X153: $int,X150: $int,X152: $int,X151: $int] :
( ( 5 != a(X151) )
| ( 5 != a(X153) )
| ( X150 = X151 )
| ( 2 != b(X150) )
| ( X150 = X152 )
| ( X150 = X153 )
| ~ $less(b(X152),3)
| ( 2 != b(X153) )
| ( 5 != b(X151) )
| ( 10 != a(X152) )
| ~ $less(X152,X151)
| ( X151 = X153 )
| ( X152 = X153 )
| ( X151 = X152 ) )
& ( z2 != z5 )
& ! [X173: $int,X172: $int,X171: $int] :
( ( 5 != b(X171) )
| ( X171 = X172 )
| ( X172 = X173 )
| ~ $less(b(X172),4)
| ( 7 != a(X172) )
| ( 10 != a(X173) )
| ~ $less(X173,X171)
| ( X171 = X173 )
| ( 2 != b(X173) )
| ( 2 != a(X171) ) )
& ! [X62: $int,X63: $int,X60: $int,X61: $int] :
( ( 8 != a(X60) )
| ( X60 = X61 )
| ( 5 != a(X61) )
| ~ $less(X63,X61)
| ( X60 = X62 )
| ( X61 = X63 )
| ( X62 = X63 )
| ~ $less(b(X63),3)
| ( 2 != b(X62) )
| ( 10 != a(X63) )
| ( X61 = X62 )
| ( X60 = X63 ) )
& ! [X204: $int,X202: $int,X203: $int,X201: $int] :
( ( X203 = X204 )
| ( 10 != a(X203) )
| ( 2 != a(X202) )
| ( X202 = X204 )
| ~ $less(X203,X201)
| ~ $less(b(X203),3)
| ( 5 != a(X201) )
| ( X201 = X202 )
| ( 5 != b(X204) )
| ( X201 = X204 )
| ( X201 = X203 )
| ( X202 = X203 ) )
& ( a(z2) = 10 )
& ! [X115: $int,X116: $int,X118: $int,X117: $int] :
( ( 7 != a(X118) )
| ( X115 = X118 )
| ( X115 = X116 )
| ( X116 = X117 )
| ( X116 = X118 )
| ( 10 != a(X115) )
| ( 5 != b(X118) )
| ( 2 != b(X117) )
| ( X115 = X117 )
| ( X117 = X118 )
| ( 4 != a(X116) )
| ~ $less(X115,X118)
| ~ $less(b(X115),3) )
& ( z2 != z4 )
& ! [X166: $int,X164: $int,X165: $int] :
( ( 8 != a(X164) )
| ( X164 = X165 )
| ( 3 != a(X165) )
| ~ $less(X166,X165)
| ( 10 != a(X166) )
| ~ $less(b(X164),4)
| ~ $less(b(X165),4)
| ( X165 = X166 )
| ( 2 != b(X166) )
| ( X164 = X166 ) )
& ! [X277: $int,X279: $int,X278: $int] :
( ( 10 != a(X279) )
| ~ $less(b(X279),3)
| ( 8 != a(X277) )
| ( 4 != a(X278) )
| ~ $less(X279,X278)
| ( X277 = X278 )
| ( X277 = X279 )
| ( X278 = X279 )
| ( 2 != b(X277) ) )
& ( z2 != z3 )
& ! [X15: $int,X16: $int,X14: $int] :
( ( 8 != a(X14) )
| ( X14 = X15 )
| ( X14 = X16 )
| ( 6 != a(X15) )
| ( X15 = X16 )
| ~ $less(b(X16),3)
| ~ $less(X16,X15)
| ( 10 != a(X16) ) )
& ! [X141: $int,X142: $int,X140: $int] :
( ( X140 = X142 )
| ~ $less(X141,X142)
| ( X140 = X141 )
| ( 8 != a(X140) )
| ( X141 = X142 )
| ( 2 != a(X142) )
| ~ $less(b(X141),3)
| ( 10 != a(X141) )
| ( 2 != b(X140) ) )
& ! [X85: $int,X84: $int,X86: $int,X87: $int] :
( ~ $less(X87,X85)
| ( X84 = X86 )
| ( 8 != a(X84) )
| ( X86 = X87 )
| ~ $less(b(X87),3)
| ( 10 != a(X87) )
| ( 2 != a(X86) )
| ( X85 = X86 )
| ( X84 = X85 )
| ( X85 = X87 )
| ( 5 != a(X85) )
| ( X84 = X87 ) )
& $less(b(z2),3)
& ! [X105: $int,X104: $int,X103: $int] :
( ( 2 != b(X104) )
| ( 7 != a(X105) )
| ~ $less(X104,X103)
| ( X103 = X104 )
| ( 5 != a(X103) )
| ( 10 != a(X104) )
| ( 5 != b(X103) )
| ( X104 = X105 )
| ( X103 = X105 ) )
& ! [X286: $int,X284: $int,X285: $int,X287: $int] :
( ( X284 = X285 )
| ( X284 = X286 )
| ( 10 != a(X285) )
| ( X285 = X287 )
| ( X286 = X287 )
| ( 4 != a(X284) )
| ~ $less(b(X285),3)
| ~ $less(X285,X284)
| ( X284 = X287 )
| ( X285 = X286 )
| ( 5 != b(X287) )
| ( 1 != a(X286) ) ) ),
inference(flattening,[],[f6]) ).
tff(f8,plain,
( ( a(z1) = 4 )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( X2 = X3 )
| ~ $less(b(X2),3)
| ( a(X0) != 12 )
| ( 5 != b(X3) )
| ( X1 = X3 )
| ~ $less(X2,X0)
| ( X0 = X3 )
| ( X1 = X2 )
| ( a(X1) != 7 )
| ( X0 = X1 )
| ( 10 != a(X2) )
| ( b(X1) != 2 )
| ( X0 = X2 ) )
& ( b(z3) = 2 )
& ! [X4: $int,X5: $int,X6: $int] :
( ( 7 != a(X5) )
| ( 10 != a(X4) )
| ( 2 != b(X4) )
| ~ $less(X4,X6)
| ( X5 = X6 )
| ( 4 != a(X6) )
| ( X4 = X6 )
| ( 5 != b(X6) )
| ( X4 = X5 ) )
& ! [X7: $int,X8: $int,X9: $int,X10: $int] :
( ( 7 != a(X8) )
| ~ $less(b(X9),3)
| ( X7 = X10 )
| ( 10 != a(X9) )
| ( X8 = X10 )
| ( X9 = X10 )
| ( X7 = X9 )
| ( X8 = X9 )
| ( 5 != b(X10) )
| ( X7 = X8 )
| ( 5 != a(X10) )
| ( 2 != b(X7) )
| ~ $less(X9,X10) )
& ! [X11: $int,X12: $int,X13: $int,X14: $int] :
( ( X11 = X13 )
| ( X11 = X12 )
| ~ $less(X13,X14)
| ~ $less(b(X13),3)
| ( X13 = X14 )
| ( 10 != a(X13) )
| ( X11 = X14 )
| ( 5 != b(X14) )
| ( X12 = X14 )
| ( 5 != a(X12) )
| ( 7 != a(X14) )
| ( X12 = X13 )
| ( 2 != b(X11) ) )
& ! [X15: $int,X16: $int,X17: $int] :
( ( 8 != a(X16) )
| ( X15 = X17 )
| ( 2 != b(X16) )
| ~ $less(X17,X15)
| ( X15 = X16 )
| ( X16 = X17 )
| ( 10 != a(X17) )
| ~ $less(b(X17),3)
| ( 1 != a(X15) ) )
& ! [X18: $int,X19: $int,X20: $int,X21: $int] :
( ~ $less(X20,X21)
| ( 10 != a(X20) )
| ( X19 = X20 )
| ( 7 != a(X18) )
| ( X19 = X21 )
| ( 5 != a(X21) )
| ( X18 = X21 )
| ( X18 = X20 )
| ~ $less(b(X20),3)
| ( X18 = X19 )
| ( 2 != a(X19) )
| ( X20 = X21 )
| ( 5 != b(X21) ) )
& ( z1 != z3 )
& ! [X22: $int,X23: $int,X24: $int] :
( ( 5 != a(X23) )
| ( 2 != b(X22) )
| ~ $less(X22,X23)
| ( 10 != a(X22) )
| ( 8 != a(X24) )
| ( X22 = X24 )
| ( X23 = X24 )
| ( X22 = X23 ) )
& ! [X25: $int,X26: $int,X27: $int,X28: $int] :
( ( X27 = X28 )
| ~ $less(X28,X27)
| ( 10 != a(X28) )
| ( X26 = X27 )
| ( 3 != a(X27) )
| ( 2 != b(X28) )
| ( 7 != a(X26) )
| ( X26 = X28 )
| ( 5 != b(X25) )
| ( X25 = X26 )
| ~ $less(b(X27),4)
| ( X25 = X28 )
| ( X25 = X27 )
| ~ $less(b(X26),4) )
& ! [X29: $int,X30: $int,X31: $int] :
( ( X30 = X31 )
| ( X29 = X31 )
| ( 5 != b(X29) )
| ( X29 = X30 )
| ~ $less(b(X30),3)
| ( 5 != a(X29) )
| ~ $less(X30,X29)
| ( 7 != a(X31) )
| ( 10 != a(X30) )
| ( 2 != b(X31) ) )
& ! [X32: $int] :
( ~ $less(a(X32),1)
& ~ $less(12,a(X32)) )
& ! [X33: $int,X34: $int,X35: $int,X36: $int] :
( ( 10 != a(X36) )
| ( X33 = X35 )
| ( 2 != b(X34) )
| ( 6 != a(X33) )
| ( 5 != b(X35) )
| ~ $less(X36,X35)
| ( X33 = X36 )
| ~ $less(b(X36),3)
| ( X33 = X34 )
| ( X35 = X36 )
| ( X34 = X36 )
| ( X34 = X35 )
| ( 5 != a(X35) ) )
& ! [X37: $int,X38: $int,X39: $int] :
( ~ $less(X38,X39)
| ( 5 != b(X39) )
| ( 6 != a(X39) )
| ( 5 != a(X37) )
| ( X38 = X39 )
| ( 10 != a(X38) )
| ( X37 = X38 )
| ( 2 != b(X38) )
| ( X37 = X39 ) )
& ! [X40: $int,X41: $int,X42: $int] :
( ( 2 != a(X41) )
| ( 2 != b(X40) )
| ( X40 = X41 )
| ( 8 != a(X42) )
| ~ $less(X40,X41)
| ~ $less(b(X42),4)
| ( X41 = X42 )
| ( X40 = X42 )
| ( 10 != a(X40) ) )
& ! [X43: $int,X44: $int,X45: $int] :
( ( 5 != a(X45) )
| ( X43 = X45 )
| ( 5 != b(X44) )
| ( X44 = X45 )
| ~ $less(X43,X44)
| ( 10 != a(X43) )
| ( 1 != a(X44) )
| ( X43 = X44 )
| ( 2 != b(X43) ) )
& ! [X46: $int,X47: $int,X48: $int,X49: $int] :
( ( X47 = X48 )
| ( X48 = X49 )
| ( 10 != a(X46) )
| ~ $less(b(X46),3)
| ( 5 != a(X49) )
| ( 2 != a(X48) )
| ( X46 = X47 )
| ( 5 != b(X47) )
| ( X46 = X48 )
| ( 7 != a(X47) )
| ~ $less(X46,X47)
| ( X46 = X49 )
| ( X47 = X49 ) )
& ! [X50: $int,X51: $int] :
( ~ $less(X51,X50)
| ( 9 != a(X50) )
| ( 10 != a(X51) )
| ~ $less(b(X51),3)
| ( X50 = X51 ) )
& ! [X52: $int,X53: $int,X54: $int,X55: $int] :
( ( X53 = X54 )
| ( X53 = X55 )
| ( X52 = X54 )
| ( X52 = X55 )
| ( X54 = X55 )
| ( 10 != a(X52) )
| ~ $less(b(X52),3)
| ( 5 != b(X53) )
| ( 4 != a(X55) )
| ( 2 != a(X54) )
| ~ $less(X52,X55)
| ( X52 = X53 ) )
& ! [X56: $int,X57: $int,X58: $int] :
( ( X56 = X58 )
| ( 5 != a(X56) )
| ( X56 = X57 )
| ( 5 != b(X57) )
| ( X57 = X58 )
| ~ $less(X58,X57)
| ( 2 != b(X58) )
| ( 7 != a(X57) )
| ( 10 != a(X58) ) )
& ! [X59: $int,X60: $int,X61: $int] :
( ( X59 = X60 )
| ( X59 = X61 )
| ( 10 != a(X60) )
| ( 5 != b(X59) )
| ( X60 = X61 )
| ( 5 != a(X61) )
| ( 4 != a(X59) )
| ( 2 != b(X60) )
| ~ $less(X60,X59) )
& ! [X62: $int,X63: $int,X64: $int] :
( ( 2 != b(X62) )
| ( 5 != b(X64) )
| ( 5 != a(X63) )
| ( 10 != a(X62) )
| ( X62 = X64 )
| ~ $less(X62,X63)
| ( X62 = X63 )
| ( X63 = X64 ) )
& ! [X65: $int,X66: $int,X67: $int,X68: $int] :
( ( X66 = X68 )
| ( 5 != b(X68) )
| ~ $less(b(X65),3)
| ( X66 = X67 )
| ( 2 != b(X66) )
| ( X65 = X66 )
| ( X65 = X68 )
| ( 7 != a(X66) )
| ( 1 != a(X67) )
| ~ $less(X65,X67)
| ( X65 = X67 )
| ( 10 != a(X65) )
| ( X67 = X68 ) )
& ! [X69: $int,X70: $int,X71: $int] :
( ( X70 = X71 )
| ( 7 != a(X70) )
| ( 5 != b(X70) )
| ( X69 = X70 )
| ( 6 != a(X69) )
| ( 10 != a(X71) )
| ~ $less(b(X71),3)
| ~ $less(X71,X70)
| ( X69 = X71 ) )
& ! [X72: $int,X73: $int,X74: $int] :
( ( X73 = X74 )
| ( 10 != a(X74) )
| ( X72 = X74 )
| ( 5 != b(X72) )
| ( 4 != a(X73) )
| ( X72 = X73 )
| ( 2 != b(X74) )
| ~ $less(X74,X73) )
& ! [X75: $int,X76: $int,X77: $int] :
( ( 2 != b(X75) )
| ~ $less(X75,X76)
| ( 10 != a(X75) )
| ( 1 != a(X76) )
| ( 8 != a(X77) )
| ~ $less(b(X77),4)
| ( X75 = X77 )
| ( X75 = X76 )
| ( X76 = X77 ) )
& ! [X78: $int,X79: $int,X80: $int] :
( ~ $less(X78,X80)
| ( X79 = X80 )
| ( X78 = X79 )
| ( X78 = X80 )
| ( 10 != a(X78) )
| ~ $less(b(X78),3)
| ( 5 != b(X79) )
| ( 7 != a(X80) ) )
& ! [X81: $int,X82: $int,X83: $int] :
( ( 10 != a(X81) )
| ~ $less(b(X81),3)
| ( 2 != b(X82) )
| ( X81 = X83 )
| ( X82 = X83 )
| ( X81 = X82 )
| ( 8 != a(X82) )
| ( 12 != a(X83) )
| ~ $less(X81,X83) )
& ! [X84: $int,X85: $int,X86: $int] :
( ( 2 != b(X84) )
| ( X85 = X86 )
| ( 5 != a(X85) )
| ( X84 = X85 )
| ( 10 != a(X84) )
| ( 4 != a(X86) )
| ( 5 != b(X85) )
| ~ $less(X84,X85)
| ( X84 = X86 ) )
& ! [X87: $int,X88: $int,X89: $int] :
( ( X87 = X89 )
| ( 6 != a(X89) )
| ~ $less(X88,X89)
| ( 5 != b(X87) )
| ( 10 != a(X88) )
| ( X87 = X88 )
| ~ $less(b(X88),3)
| ( X88 = X89 ) )
& ! [X90: $int,X91: $int,X92: $int] :
( ( X91 = X92 )
| ~ $less(X91,X90)
| ( 2 != b(X91) )
| ( 8 != a(X92) )
| ( X90 = X91 )
| ( 10 != a(X91) )
| ( X90 = X92 )
| ( 4 != a(X90) ) )
& ! [X93: $int,X94: $int,X95: $int] :
( ( X94 = X95 )
| ( 5 != a(X94) )
| ( 10 != a(X95) )
| ( 5 != b(X93) )
| ( X93 = X94 )
| ( X93 = X95 )
| ~ $less(X95,X93)
| ( 2 != a(X93) )
| ( 2 != b(X95) ) )
& ! [X96: $int,X97: $int,X98: $int] :
( ( 10 != a(X97) )
| ( 2 != b(X97) )
| ( X96 = X98 )
| ( 7 != a(X98) )
| ( 5 != b(X96) )
| ~ $less(b(X98),4)
| ( 12 != a(X96) )
| ~ $less(X97,X96)
| ( X96 = X97 )
| ( X97 = X98 ) )
& ! [X99: $int,X100: $int,X101: $int,X102: $int] :
( ( X100 = X101 )
| ( X101 = X102 )
| ( X100 = X102 )
| ( 8 != a(X99) )
| ( 10 != a(X102) )
| ( 2 != a(X100) )
| ~ $less(b(X102),3)
| ~ $less(X102,X101)
| ( X99 = X101 )
| ( X99 = X100 )
| ( X99 = X102 )
| ( 4 != a(X101) ) )
& ! [X103: $int,X104: $int,X105: $int] :
( ( X103 = X105 )
| ( 2 != b(X104) )
| ~ $less(X105,X103)
| ~ $less(b(X105),3)
| ( X103 = X104 )
| ( 5 != a(X103) )
| ( 8 != a(X104) )
| ( 10 != a(X105) )
| ( X104 = X105 ) )
& ! [X106: $int,X107: $int,X108: $int] :
( ~ $less(b(X107),3)
| ( 7 != a(X106) )
| ( 1 != a(X108) )
| ( 10 != a(X107) )
| ( X107 = X108 )
| ( X106 = X108 )
| ( 5 != b(X108) )
| ~ $less(X107,X108)
| ( 2 != b(X106) )
| ( X106 = X107 ) )
& ! [X109: $int,X110: $int,X111: $int] :
( ( X109 = X111 )
| ~ $less(X110,X111)
| ( X109 = X110 )
| ( 6 != a(X109) )
| ( 10 != a(X110) )
| ( 5 != b(X111) )
| ( 12 != a(X111) )
| ( 2 != b(X110) )
| ( X110 = X111 ) )
& ( z1 != z5 )
& ! [X112: $int,X113: $int] :
( ~ $less(b(X113),3)
| ~ $less(X113,X112)
| ( X112 = X113 )
| ( 8 != a(X112) )
| ( 10 != a(X113) ) )
& ! [X114: $int,X115: $int,X116: $int] :
( ( 8 != a(X116) )
| ( 10 != a(X115) )
| ( 7 != a(X114) )
| ~ $less(X115,X114)
| ( X114 = X116 )
| ( X114 = X115 )
| ~ $less(b(X115),3)
| ( X115 = X116 ) )
& ! [X117: $int,X118: $int,X119: $int] :
( ( 5 != b(X118) )
| ( X117 = X119 )
| ( 12 != a(X118) )
| ( 2 != b(X119) )
| ( X117 = X118 )
| ( 4 != a(X117) )
| ~ $less(X119,X118)
| ( X118 = X119 )
| ( 10 != a(X119) ) )
& ! [X120: $int,X121: $int,X122: $int] :
( ( X120 = X121 )
| ~ $less(b(X122),3)
| ( X120 = X122 )
| ( 5 != b(X120) )
| ( X121 = X122 )
| ( 7 != a(X121) )
| ( 10 != a(X122) )
| ( 2 != b(X121) )
| ( 12 != a(X120) )
| ~ $less(X122,X120) )
& ! [X123: $int,X124: $int,X125: $int] :
( ( 2 != b(X124) )
| ( X124 = X125 )
| ( X123 = X124 )
| ( 10 != a(X125) )
| ( X123 = X125 )
| ~ $less(X125,X123)
| ( 6 != a(X124) )
| ~ $less(b(X125),3)
| ( 5 != b(X123) )
| ( 5 != a(X123) ) )
& ! [X126: $int,X127: $int,X128: $int,X129: $int] :
( ( 4 != a(X128) )
| ~ $less(b(X129),3)
| ( X126 = X128 )
| ( X126 = X129 )
| ( 10 != a(X129) )
| ( X127 = X129 )
| ( X127 = X128 )
| ~ $less(X129,X128)
| ( X126 = X127 )
| ( 2 != b(X126) )
| ( X128 = X129 )
| ( 8 != a(X127) ) )
& ! [X130: $int,X131: $int,X132: $int,X133: $int] :
( ( 12 != a(X133) )
| ( 5 != a(X132) )
| ( 5 != b(X130) )
| ( X131 = X132 )
| ( 10 != a(X131) )
| ~ $less(b(X131),3)
| ( X130 = X133 )
| ( X131 = X133 )
| ( X132 = X133 )
| ~ $less(X131,X132)
| ( X130 = X131 )
| ( X130 = X132 ) )
& ! [X134: $int,X135: $int,X136: $int,X137: $int] :
( ( X134 = X137 )
| ( 10 != a(X134) )
| ( X134 = X135 )
| ( X134 = X136 )
| ( X135 = X136 )
| ( 5 != b(X135) )
| ( X135 = X137 )
| ( 4 != a(X135) )
| ( 2 != b(X137) )
| ( X136 = X137 )
| ( 7 != a(X136) )
| ~ $less(X134,X135)
| ~ $less(b(X134),3) )
& ! [X138: $int,X139: $int,X140: $int] :
( ( 1 != a(X139) )
| ( 10 != a(X138) )
| ~ $less(X138,X139)
| ( 6 != a(X140) )
| ( 5 != b(X139) )
| ( X138 = X140 )
| ( X138 = X139 )
| ( 2 != b(X138) )
| ( X139 = X140 ) )
& ! [X141: $int,X142: $int,X143: $int,X144: $int] :
( ( 10 != a(X143) )
| ( X141 = X142 )
| ( X141 = X143 )
| ( 7 != a(X144) )
| ( 5 != b(X142) )
| ( 5 != a(X141) )
| ~ $less(X143,X141)
| ( X143 = X144 )
| ( 2 != a(X142) )
| ~ $less(b(X143),3)
| ( X142 = X143 )
| ( X141 = X144 )
| ( X142 = X144 ) )
& ! [X145: $int,X146: $int,X147: $int,X148: $int] :
( ~ $less(b(X147),3)
| ( X146 = X147 )
| ( 5 != b(X146) )
| ~ $less(X147,X145)
| ( X145 = X146 )
| ( X147 = X148 )
| ( X145 = X148 )
| ( 5 != a(X145) )
| ( X145 = X147 )
| ( 10 != a(X147) )
| ( X146 = X148 )
| ( 2 != b(X148) ) )
& ! [X149: $int,X150: $int,X151: $int] :
( ( 5 != b(X151) )
| ( 10 != a(X149) )
| ~ $less(b(X149),3)
| ( 7 != a(X150) )
| ( 6 != a(X151) )
| ( X149 = X151 )
| ~ $less(X149,X151)
| ( X150 = X151 )
| ( X149 = X150 ) )
& ! [X152: $int,X153: $int,X154: $int,X155: $int] :
( ( X153 = X154 )
| ( 10 != a(X153) )
| ( 7 != a(X152) )
| ( X152 = X153 )
| ( X152 = X154 )
| ( 2 != b(X153) )
| ( X154 = X155 )
| ( 1 != a(X154) )
| ( X153 = X155 )
| ( X152 = X155 )
| ( 5 != b(X155) )
| ~ $less(X153,X154)
| ~ $less(b(X152),4) )
& ! [X156: $int,X157: $int,X158: $int,X159: $int] :
( ~ $less(b(X156),3)
| ( 5 != b(X158) )
| ( X158 = X159 )
| ( 10 != a(X156) )
| ( X157 = X159 )
| ( X156 = X158 )
| ( X157 = X158 )
| ( 2 != b(X159) )
| ~ $less(X156,X157)
| ( X156 = X157 )
| ( 4 != a(X157) )
| ( X156 = X159 ) )
& $less(z2,z1)
& ! [X160: $int,X161: $int,X162: $int] :
( ( 10 != a(X161) )
| ( 5 != b(X160) )
| ( X160 = X161 )
| ( X160 = X162 )
| ( 2 != a(X160) )
| ~ $less(X161,X160)
| ( X161 = X162 )
| ( 4 != a(X162) )
| ( 2 != b(X161) ) )
& ( b(z4) = 5 )
& ( z3 != z4 )
& ! [X163: $int,X164: $int,X165: $int] :
( ( 10 != a(X164) )
| ~ $less(X164,X165)
| ( 5 != b(X165) )
| ( X164 = X165 )
| ( 4 != a(X165) )
| ( 2 != b(X164) )
| ( X163 = X165 )
| ( 4 != a(X163) )
| ( X163 = X164 ) )
& ! [X166: $int,X167: $int,X168: $int] :
( ( 2 != b(X168) )
| ~ $less(X168,X167)
| ( 10 != a(X168) )
| ( 12 != a(X167) )
| ( 5 != a(X166) )
| ( X166 = X167 )
| ( X167 = X168 )
| ( X166 = X168 )
| ( 5 != b(X167) ) )
& ( z4 != z5 )
& ( a(z3) = 7 )
& ! [X169: $int,X170: $int,X171: $int,X172: $int] :
( ( 6 != a(X169) )
| ~ $less(X171,X169)
| ( 5 != b(X169) )
| ( 10 != a(X171) )
| ( 2 != b(X172) )
| ( X169 = X171 )
| ( X170 = X171 )
| ~ $less(b(X171),3)
| ( X169 = X172 )
| ( X171 = X172 )
| ( 5 != a(X170) )
| ( X170 = X172 )
| ( X169 = X170 ) )
& ! [X173: $int,X174: $int,X175: $int] :
( ( X173 = X174 )
| ( X174 = X175 )
| ( X173 = X175 )
| ( 6 != a(X174) )
| ~ $less(b(X173),3)
| ~ $less(X173,X175)
| ( 10 != a(X173) )
| ( 6 != a(X175) )
| ( 5 != b(X175) ) )
& ! [X176: $int,X177: $int,X178: $int] :
( ( 10 != a(X178) )
| ( 2 != b(X178) )
| ~ $less(b(X176),4)
| ( 1 != a(X177) )
| ( X177 = X178 )
| ( 5 != b(X177) )
| ~ $less(X178,X177)
| ( X176 = X178 )
| ( 7 != a(X176) )
| ( X176 = X177 ) )
& ! [X179: $int,X180: $int,X181: $int,X182: $int] :
( ~ $less(b(X179),3)
| ( X181 = X182 )
| ~ $less(b(X181),4)
| ( 10 != a(X179) )
| ~ $less(b(X180),4)
| ( 3 != a(X180) )
| ( 8 != a(X181) )
| ( X179 = X180 )
| ~ $less(X179,X180)
| ( X180 = X182 )
| ( X179 = X181 )
| ( X180 = X181 )
| ( X179 = X182 )
| ( 2 != b(X182) ) )
& ! [X183: $int,X184: $int,X185: $int] :
( ( X183 = X184 )
| ( X184 = X185 )
| ~ $less(X185,X183)
| ( 5 != b(X183) )
| ( X183 = X185 )
| ( 4 != a(X184) )
| ( 2 != b(X185) )
| ( 10 != a(X185) )
| ( 7 != a(X183) ) )
& ! [X186: $int] :
( ~ $less(5,b(X186))
& ~ $less(b(X186),1) )
& ! [X187: $int,X188: $int,X189: $int,X190: $int] :
( ( X187 = X190 )
| ( X188 = X190 )
| ( 7 != a(X189) )
| ( X187 = X188 )
| ( X187 = X189 )
| ( X189 = X190 )
| ( 10 != a(X190) )
| ~ $less(b(X190),3)
| ( 2 != a(X188) )
| ~ $less(X190,X188)
| ( 2 != b(X189) )
| ( X188 = X189 )
| ( 5 != b(X187) ) )
& ! [X191: $int,X192: $int,X193: $int] :
( ( 1 != a(X191) )
| ( X192 = X193 )
| ~ $less(X192,X191)
| ( 10 != a(X192) )
| ( 2 != b(X192) )
| ( X191 = X192 )
| ( X191 = X193 )
| ( 4 != a(X193) )
| ( 5 != b(X191) ) )
& ! [X194: $int,X195: $int,X196: $int] :
( ( 7 != a(X195) )
| ( 4 != a(X196) )
| ( X194 = X195 )
| ( 10 != a(X194) )
| ( 5 != b(X196) )
| ( X194 = X196 )
| ~ $less(X194,X196)
| ( 2 != b(X195) )
| ~ $less(b(X194),3)
| ( X195 = X196 ) )
& ! [X197: $int,X198: $int,X199: $int] :
( ( 7 != a(X198) )
| ( X198 = X199 )
| ( 10 != a(X199) )
| ( X197 = X199 )
| ~ $less(X199,X197)
| ( 7 != a(X197) )
| ( X197 = X198 )
| ( 5 != b(X197) )
| ~ $less(b(X199),3) )
& ! [X200: $int,X201: $int,X202: $int,X203: $int] :
( ( X202 = X203 )
| ( 10 != a(X201) )
| ~ $less(X201,X203)
| ~ $less(b(X202),4)
| ( X200 = X203 )
| ( X200 = X202 )
| ( X201 = X203 )
| ( X201 = X202 )
| ( 5 != b(X200) )
| ( 7 != a(X202) )
| ( 2 != b(X201) )
| ( 2 != a(X203) )
| ( X200 = X201 ) )
& ! [X204: $int,X205: $int,X206: $int] :
( ( X204 = X206 )
| ( 6 != a(X205) )
| ( X205 = X206 )
| ( 2 != b(X204) )
| ~ $less(X204,X205)
| ( 4 != a(X206) )
| ( 5 != b(X205) )
| ( 10 != a(X204) )
| ( X204 = X205 ) )
& ! [X207: $int,X208: $int] :
( ( 10 != a(X208) )
| ( X207 = X208 )
| ( 10 != a(X207) ) )
& ! [X209: $int,X210: $int,X211: $int] :
( ( 10 != a(X211) )
| ( X210 = X211 )
| ( X209 = X210 )
| ( 5 != b(X209) )
| ( 2 != a(X209) )
| ( 7 != a(X210) )
| ~ $less(X211,X209)
| ~ $less(b(X211),3)
| ( 2 != b(X210) )
| ( X209 = X211 ) )
& ( z1 != z4 )
& ! [X212: $int,X213: $int,X214: $int] :
( ( X212 = X214 )
| ~ $less(X213,X214)
| ( 10 != a(X213) )
| ( X213 = X214 )
| ~ $less(b(X213),3)
| ( 3 != a(X214) )
| ( X212 = X213 )
| ~ $less(b(X214),4)
| ( 2 != b(X212) )
| ( 8 != a(X212) ) )
& ! [X215: $int,X216: $int,X217: $int] :
( ~ $less(X215,X216)
| ( 10 != a(X215) )
| ( X216 = X217 )
| ( 5 != b(X216) )
| ( X215 = X217 )
| ( 2 != b(X215) )
| ( X215 = X216 )
| ( 2 != a(X216) )
| ( 6 != a(X217) ) )
& ! [X218: $int,X219: $int,X220: $int] :
( ~ $less(b(X218),4)
| ( 12 != a(X220) )
| ( X218 = X220 )
| ( 10 != a(X219) )
| ( 2 != b(X219) )
| ~ $less(X219,X220)
| ( X219 = X220 )
| ( X218 = X219 )
| ( 8 != a(X218) ) )
& ! [X221: $int,X222: $int,X223: $int] :
( ( X222 = X223 )
| ( X221 = X222 )
| ~ $less(X221,X222)
| ( 5 != a(X222) )
| ( 10 != a(X221) )
| ( 6 != a(X223) )
| ( 2 != b(X221) )
| ( X221 = X223 )
| ( 5 != b(X222) ) )
& ! [X224: $int,X225: $int,X226: $int] :
( ( X224 = X226 )
| ~ $less(X224,X225)
| ( 5 != b(X225) )
| ( X224 = X225 )
| ( X225 = X226 )
| ( 2 != b(X224) )
| ( 4 != a(X225) )
| ( 10 != a(X224) )
| ( 6 != a(X226) ) )
& ! [X227: $int,X228: $int,X229: $int,X230: $int] :
( ( 8 != a(X229) )
| ( X227 = X229 )
| ( X227 = X228 )
| ( X229 = X230 )
| ( X228 = X230 )
| ~ $less(b(X230),3)
| ( 1 != a(X227) )
| ~ $less(X230,X228)
| ( 5 != a(X228) )
| ( X228 = X229 )
| ( 10 != a(X230) )
| ( X227 = X230 ) )
& ! [X231: $int,X232: $int,X233: $int] :
( ( 2 != b(X231) )
| ( X231 = X233 )
| ( 5 != b(X232) )
| ( 5 != a(X232) )
| ( 5 != a(X233) )
| ~ $less(X231,X232)
| ( 10 != a(X231) )
| ( X232 = X233 )
| ( X231 = X232 ) )
& ( z3 != z5 )
& ! [X234: $int,X235: $int,X236: $int,X237: $int] :
( ( 1 != a(X237) )
| ( X236 = X237 )
| ( X234 = X235 )
| ( 5 != b(X235) )
| ( X234 = X236 )
| ~ $less(b(X236),3)
| ( X235 = X236 )
| ~ $less(X236,X234)
| ( X234 = X237 )
| ( X235 = X237 )
| ( 5 != a(X234) )
| ( 10 != a(X236) ) )
& ( z1 != z2 )
& ! [X238: $int,X239: $int,X240: $int,X241: $int] :
( ( 5 != b(X239) )
| ( 2 != b(X238) )
| ( X239 = X241 )
| ( X238 = X239 )
| ( X240 = X241 )
| ( X238 = X240 )
| ( 12 != a(X241) )
| ~ $less(X238,X241)
| ( 10 != a(X238) )
| ( X239 = X240 )
| ( X238 = X241 )
| ( 7 != a(X240) )
| ~ $less(b(X240),4) )
& ! [X242: $int,X243: $int,X244: $int,X245: $int] :
( ( X242 = X244 )
| ~ $less(b(X242),4)
| ( X243 = X244 )
| ( X242 = X245 )
| ( X243 = X245 )
| ( 2 != b(X245) )
| ( X242 = X243 )
| ~ $less(b(X243),3)
| ( 3 != a(X242) )
| ( 5 != b(X244) )
| ( 10 != a(X243) )
| ( 7 != a(X245) )
| ~ $less(X243,X242)
| ( X244 = X245 ) )
& ! [X246: $int,X247: $int,X248: $int,X249: $int] :
( ( 5 != a(X249) )
| ( 5 != a(X246) )
| ( X247 = X249 )
| ( 2 != b(X247) )
| ( X247 = X248 )
| ( X246 = X247 )
| ~ $less(b(X248),3)
| ( 2 != b(X246) )
| ( 5 != b(X249) )
| ( 10 != a(X248) )
| ~ $less(X248,X249)
| ( X246 = X249 )
| ( X246 = X248 )
| ( X248 = X249 ) )
& ( z2 != z5 )
& ! [X250: $int,X251: $int,X252: $int] :
( ( 5 != b(X252) )
| ( X251 = X252 )
| ( X250 = X251 )
| ~ $less(b(X251),4)
| ( 7 != a(X251) )
| ( 10 != a(X250) )
| ~ $less(X250,X252)
| ( X250 = X252 )
| ( 2 != b(X250) )
| ( 2 != a(X252) ) )
& ! [X253: $int,X254: $int,X255: $int,X256: $int] :
( ( 8 != a(X255) )
| ( X255 = X256 )
| ( 5 != a(X256) )
| ~ $less(X254,X256)
| ( X253 = X255 )
| ( X254 = X256 )
| ( X253 = X254 )
| ~ $less(b(X254),3)
| ( 2 != b(X253) )
| ( 10 != a(X254) )
| ( X253 = X256 )
| ( X254 = X255 ) )
& ! [X257: $int,X258: $int,X259: $int,X260: $int] :
( ( X257 = X259 )
| ( 10 != a(X259) )
| ( 2 != a(X258) )
| ( X257 = X258 )
| ~ $less(X259,X260)
| ~ $less(b(X259),3)
| ( 5 != a(X260) )
| ( X258 = X260 )
| ( 5 != b(X257) )
| ( X257 = X260 )
| ( X259 = X260 )
| ( X258 = X259 ) )
& ( a(z2) = 10 )
& ! [X261: $int,X262: $int,X263: $int,X264: $int] :
( ( 7 != a(X263) )
| ( X261 = X263 )
| ( X261 = X262 )
| ( X262 = X264 )
| ( X262 = X263 )
| ( 10 != a(X261) )
| ( 5 != b(X263) )
| ( 2 != b(X264) )
| ( X261 = X264 )
| ( X263 = X264 )
| ( 4 != a(X262) )
| ~ $less(X261,X263)
| ~ $less(b(X261),3) )
& ( z2 != z4 )
& ! [X265: $int,X266: $int,X267: $int] :
( ( 8 != a(X266) )
| ( X266 = X267 )
| ( 3 != a(X267) )
| ~ $less(X265,X267)
| ( 10 != a(X265) )
| ~ $less(b(X266),4)
| ~ $less(b(X267),4)
| ( X265 = X267 )
| ( 2 != b(X265) )
| ( X265 = X266 ) )
& ! [X268: $int,X269: $int,X270: $int] :
( ( 10 != a(X269) )
| ~ $less(b(X269),3)
| ( 8 != a(X268) )
| ( 4 != a(X270) )
| ~ $less(X269,X270)
| ( X268 = X270 )
| ( X268 = X269 )
| ( X269 = X270 )
| ( 2 != b(X268) ) )
& ( z2 != z3 )
& ! [X271: $int,X272: $int,X273: $int] :
( ( 8 != a(X273) )
| ( X271 = X273 )
| ( X272 = X273 )
| ( 6 != a(X271) )
| ( X271 = X272 )
| ~ $less(b(X272),3)
| ~ $less(X272,X271)
| ( 10 != a(X272) ) )
& ! [X274: $int,X275: $int,X276: $int] :
( ( X275 = X276 )
| ~ $less(X274,X275)
| ( X274 = X276 )
| ( 8 != a(X276) )
| ( X274 = X275 )
| ( 2 != a(X275) )
| ~ $less(b(X274),3)
| ( 10 != a(X274) )
| ( 2 != b(X276) ) )
& ! [X277: $int,X278: $int,X279: $int,X280: $int] :
( ~ $less(X280,X277)
| ( X278 = X279 )
| ( 8 != a(X278) )
| ( X279 = X280 )
| ~ $less(b(X280),3)
| ( 10 != a(X280) )
| ( 2 != a(X279) )
| ( X277 = X279 )
| ( X277 = X278 )
| ( X277 = X280 )
| ( 5 != a(X277) )
| ( X278 = X280 ) )
& $less(b(z2),3)
& ! [X281: $int,X282: $int,X283: $int] :
( ( 2 != b(X282) )
| ( 7 != a(X281) )
| ~ $less(X282,X283)
| ( X282 = X283 )
| ( 5 != a(X283) )
| ( 10 != a(X282) )
| ( 5 != b(X283) )
| ( X281 = X282 )
| ( X281 = X283 ) )
& ! [X284: $int,X285: $int,X286: $int,X287: $int] :
( ( X285 = X286 )
| ( X284 = X285 )
| ( 10 != a(X286) )
| ( X286 = X287 )
| ( X284 = X287 )
| ( 4 != a(X285) )
| ~ $less(b(X286),3)
| ~ $less(X286,X285)
| ( X285 = X287 )
| ( X284 = X286 )
| ( 5 != b(X287) )
| ( 1 != a(X284) ) ) ),
inference(rectify,[],[f7]) ).
tff(f11,plain,
$less(b(z2),3),
inference(cnf_transformation,[],[f8]) ).
tff(f15,plain,
z2 != z3,
inference(cnf_transformation,[],[f8]) ).
tff(f18,plain,
z2 != z4,
inference(cnf_transformation,[],[f8]) ).
tff(f20,plain,
10 = a(z2),
inference(cnf_transformation,[],[f8]) ).
tff(f28,plain,
z1 != z2,
inference(cnf_transformation,[],[f8]) ).
tff(f38,plain,
z1 != z4,
inference(cnf_transformation,[],[f8]) ).
tff(f58,plain,
z3 != z4,
inference(cnf_transformation,[],[f8]) ).
tff(f59,plain,
5 = b(z4),
inference(cnf_transformation,[],[f8]) ).
tff(f61,plain,
$less(z2,z1),
inference(cnf_transformation,[],[f8]) ).
tff(f62,plain,
! [X158: $int,X159: $int,X156: $int,X157: $int] :
( ~ $less(b(X156),3)
| ( 5 != b(X158) )
| ~ $less(X156,X157)
| ( 2 != b(X159) )
| ( X156 = X158 )
| ( 4 != a(X157) )
| ( 10 != a(X156) )
| ( X157 = X158 )
| ( X156 = X157 )
| ( X156 = X159 )
| ( X157 = X159 )
| ( X158 = X159 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f107,plain,
z1 != z3,
inference(cnf_transformation,[],[f8]) ).
tff(f113,plain,
2 = b(z3),
inference(cnf_transformation,[],[f8]) ).
tff(f115,plain,
4 = a(z1),
inference(cnf_transformation,[],[f8]) ).
tff(f116,definition,
sF0 = a(z1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f117,plain,
a(z1) = sF0,
inference(reorient_equations,[],[f116]) ).
tff(f118,plain,
4 = sF0,
inference(definition_folding,[],[f115,f117]) ).
tff(f119,definition,
sF1 = b(z3),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f120,plain,
b(z3) = sF1,
inference(reorient_equations,[],[f119]) ).
tff(f121,plain,
2 = sF1,
inference(definition_folding,[],[f113,f120]) ).
tff(f122,definition,
sF2 = b(z4),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f123,plain,
b(z4) = sF2,
inference(reorient_equations,[],[f122]) ).
tff(f124,plain,
5 = sF2,
inference(definition_folding,[],[f59,f123]) ).
tff(f128,definition,
sF4 = a(z2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
tff(f129,plain,
a(z2) = sF4,
inference(reorient_equations,[],[f128]) ).
tff(f130,plain,
10 = sF4,
inference(definition_folding,[],[f20,f129]) ).
tff(f131,definition,
sF5 = b(z2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
tff(f132,plain,
b(z2) = sF5,
inference(reorient_equations,[],[f131]) ).
tff(f133,plain,
$less(sF5,3),
inference(definition_folding,[],[f11,f132]) ).
tff(f135,definition,
( spl6_1
<=> ( z2 = z4 ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
tff(f137,plain,
( ( z2 != z4 )
| spl6_1 ),
inference(avatar_component_clause,[],[f135]) ).
tff(f138,plain,
~ spl6_1,
inference(avatar_split_clause,[],[f18,f135]) ).
tff(f140,definition,
( spl6_2
<=> ( z3 = z4 ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
tff(f142,plain,
( ( z3 != z4 )
| spl6_2 ),
inference(avatar_component_clause,[],[f140]) ).
tff(f143,plain,
~ spl6_2,
inference(avatar_split_clause,[],[f58,f140]) ).
tff(f145,definition,
( spl6_3
<=> ( z2 = z3 ) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
tff(f147,plain,
( ( z2 != z3 )
| spl6_3 ),
inference(avatar_component_clause,[],[f145]) ).
tff(f148,plain,
~ spl6_3,
inference(avatar_split_clause,[],[f15,f145]) ).
tff(f155,definition,
( spl6_5
<=> ( 2 = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
tff(f157,plain,
( ( 2 = sF1 )
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f155]) ).
tff(f158,plain,
spl6_5,
inference(avatar_split_clause,[],[f121,f155]) ).
tff(f160,definition,
( spl6_6
<=> ( z1 = z3 ) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
tff(f162,plain,
( ( z1 != z3 )
| spl6_6 ),
inference(avatar_component_clause,[],[f160]) ).
tff(f163,plain,
~ spl6_6,
inference(avatar_split_clause,[],[f107,f160]) ).
tff(f165,definition,
( spl6_7
<=> ( b(z3) = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
tff(f167,plain,
( ( b(z3) = sF1 )
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f165]) ).
tff(f168,plain,
spl6_7,
inference(avatar_split_clause,[],[f120,f165]) ).
tff(f170,definition,
( spl6_8
<=> ( a(z2) = sF4 ) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
tff(f172,plain,
( ( a(z2) = sF4 )
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f170]) ).
tff(f173,plain,
spl6_8,
inference(avatar_split_clause,[],[f129,f170]) ).
tff(f175,definition,
( spl6_9
<=> ( 5 = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
tff(f177,plain,
( ( 5 = sF2 )
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f175]) ).
tff(f178,plain,
spl6_9,
inference(avatar_split_clause,[],[f124,f175]) ).
tff(f190,definition,
( spl6_12
<=> ( a(z1) = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl6_12])],[avatar_definition]) ).
tff(f192,plain,
( ( a(z1) = sF0 )
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f190]) ).
tff(f193,plain,
spl6_12,
inference(avatar_split_clause,[],[f117,f190]) ).
tff(f195,definition,
( spl6_13
<=> ( 10 = sF4 ) ),
introduced(definition,[new_symbols(definition,[spl6_13])],[avatar_definition]) ).
tff(f197,plain,
( ( 10 = sF4 )
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f195]) ).
tff(f198,plain,
spl6_13,
inference(avatar_split_clause,[],[f130,f195]) ).
tff(f200,definition,
( spl6_14
<=> ( b(z4) = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl6_14])],[avatar_definition]) ).
tff(f202,plain,
( ( b(z4) = sF2 )
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f200]) ).
tff(f203,plain,
spl6_14,
inference(avatar_split_clause,[],[f123,f200]) ).
tff(f205,definition,
( spl6_15
<=> ( b(z2) = sF5 ) ),
introduced(definition,[new_symbols(definition,[spl6_15])],[avatar_definition]) ).
tff(f207,plain,
( ( b(z2) = sF5 )
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f205]) ).
tff(f208,plain,
spl6_15,
inference(avatar_split_clause,[],[f132,f205]) ).
tff(f210,definition,
( spl6_16
<=> ( 4 = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl6_16])],[avatar_definition]) ).
tff(f212,plain,
( ( 4 = sF0 )
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f210]) ).
tff(f213,plain,
spl6_16,
inference(avatar_split_clause,[],[f118,f210]) ).
tff(f230,definition,
( spl6_20
<=> $less(z2,z1) ),
introduced(definition,[new_symbols(definition,[spl6_20])],[avatar_definition]) ).
tff(f232,plain,
( $less(z2,z1)
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f230]) ).
tff(f233,plain,
spl6_20,
inference(avatar_split_clause,[],[f61,f230]) ).
tff(f235,definition,
( spl6_21
<=> ( z1 = z2 ) ),
introduced(definition,[new_symbols(definition,[spl6_21])],[avatar_definition]) ).
tff(f237,plain,
( ( z1 != z2 )
| spl6_21 ),
inference(avatar_component_clause,[],[f235]) ).
tff(f238,plain,
~ spl6_21,
inference(avatar_split_clause,[],[f28,f235]) ).
tff(f240,definition,
( spl6_22
<=> $less(sF5,3) ),
introduced(definition,[new_symbols(definition,[spl6_22])],[avatar_definition]) ).
tff(f242,plain,
( $less(sF5,3)
| ~ spl6_22 ),
inference(avatar_component_clause,[],[f240]) ).
tff(f243,plain,
spl6_22,
inference(avatar_split_clause,[],[f133,f240]) ).
tff(f245,definition,
( spl6_23
<=> ( z1 = z4 ) ),
introduced(definition,[new_symbols(definition,[spl6_23])],[avatar_definition]) ).
tff(f247,plain,
( ( z1 != z4 )
| spl6_23 ),
inference(avatar_component_clause,[],[f245]) ).
tff(f248,plain,
~ spl6_23,
inference(avatar_split_clause,[],[f38,f245]) ).
tff(f249,plain,
( ( 2 = b(z3) )
| ~ spl6_5
| ~ spl6_7 ),
inference(forward_demodulation,[],[f167,f157]) ).
tff(f251,definition,
( spl6_24
<=> ( 2 = b(z3) ) ),
introduced(definition,[new_symbols(definition,[spl6_24])],[avatar_definition]) ).
tff(f253,plain,
( ( 2 = b(z3) )
| ~ spl6_24 ),
inference(avatar_component_clause,[],[f251]) ).
tff(f254,plain,
( spl6_24
| ~ spl6_5
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f249,f165,f155,f251]) ).
tff(f525,plain,
( ( 10 = a(z2) )
| ~ spl6_8
| ~ spl6_13 ),
inference(forward_demodulation,[],[f172,f197]) ).
tff(f527,definition,
( spl6_71
<=> ( 10 = a(z2) ) ),
introduced(definition,[new_symbols(definition,[spl6_71])],[avatar_definition]) ).
tff(f529,plain,
( ( 10 = a(z2) )
| ~ spl6_71 ),
inference(avatar_component_clause,[],[f527]) ).
tff(f530,plain,
( spl6_71
| ~ spl6_8
| ~ spl6_13 ),
inference(avatar_split_clause,[],[f525,f195,f170,f527]) ).
tff(f549,plain,
( ( 4 = a(z1) )
| ~ spl6_12
| ~ spl6_16 ),
inference(forward_demodulation,[],[f192,f212]) ).
tff(f551,definition,
( spl6_72
<=> ( 4 = a(z1) ) ),
introduced(definition,[new_symbols(definition,[spl6_72])],[avatar_definition]) ).
tff(f553,plain,
( ( 4 = a(z1) )
| ~ spl6_72 ),
inference(avatar_component_clause,[],[f551]) ).
tff(f554,plain,
( spl6_72
| ~ spl6_12
| ~ spl6_16 ),
inference(avatar_split_clause,[],[f549,f210,f190,f551]) ).
tff(f602,plain,
( ( 5 = b(z4) )
| ~ spl6_9
| ~ spl6_14 ),
inference(forward_demodulation,[],[f202,f177]) ).
tff(f604,definition,
( spl6_78
<=> ( 5 = b(z4) ) ),
introduced(definition,[new_symbols(definition,[spl6_78])],[avatar_definition]) ).
tff(f606,plain,
( ( 5 = b(z4) )
| ~ spl6_78 ),
inference(avatar_component_clause,[],[f604]) ).
tff(f607,plain,
( spl6_78
| ~ spl6_9
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f602,f200,f175,f604]) ).
tff(f652,plain,
( $less(b(z2),3)
| ~ spl6_15
| ~ spl6_22 ),
inference(superposition,[],[f242,f207]) ).
tff(f654,definition,
( spl6_79
<=> $less(b(z2),3) ),
introduced(definition,[new_symbols(definition,[spl6_79])],[avatar_definition]) ).
tff(f656,plain,
( $less(b(z2),3)
| ~ spl6_79 ),
inference(avatar_component_clause,[],[f654]) ).
tff(f657,plain,
( spl6_79
| ~ spl6_15
| ~ spl6_22 ),
inference(avatar_split_clause,[],[f652,f240,f205,f654]) ).
tff(f754,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( b(X0) != 5 )
| ( z2 = X1 )
| ( z2 = X2 )
| ( a(X1) != 4 )
| ( z2 = X0 )
| ~ $less(z2,X1)
| ( X0 = X1 )
| ( b(X2) != 2 )
| ( X1 = X2 )
| ( X0 = X2 )
| ( 10 != a(z2) ) )
| ~ spl6_79 ),
inference(resolution,[],[f62,f656]) ).
tff(f758,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( b(X2) != 2 )
| ~ $less(z2,X1)
| ( X1 = X2 )
| ( z2 = X2 )
| ( z2 = X1 )
| ( z2 = X0 )
| ( b(X0) != 5 )
| ( X0 = X1 )
| ( X0 = X2 )
| ( a(X1) != 4 ) )
| ~ spl6_71
| ~ spl6_79 ),
inference(forward_subsumption_resolution,[],[f754,f529]) ).
tff(f1071,plain,
( ! [X0: $int,X1: $int] :
( ( 2 != 2 )
| ( z2 = z3 )
| ( z3 = X1 )
| ( z3 = X0 )
| ~ $less(z2,X0)
| ( z2 = X1 )
| ( z2 = X0 )
| ( X0 = X1 )
| ( 5 != b(X1) )
| ( a(X0) != 4 ) )
| ~ spl6_24
| ~ spl6_71
| ~ spl6_79 ),
inference(superposition,[],[f758,f253]) ).
tff(f1073,plain,
( ! [X0: $int,X1: $int] :
( ( a(X0) != 4 )
| ( X0 = X1 )
| ( 5 != b(X1) )
| ( z2 = X1 )
| ( z3 = X0 )
| ( z2 = X0 )
| ~ $less(z2,X0)
| ( z2 = z3 )
| ( z3 = X1 ) )
| ~ spl6_24
| ~ spl6_71
| ~ spl6_79 ),
inference(trivial_inequality_removal,[],[f1071]) ).
tff(f1074,plain,
( ! [X0: $int,X1: $int] :
( ( 5 != b(X1) )
| ( z2 = X0 )
| ( z3 = X1 )
| ( z2 = X1 )
| ( X0 = X1 )
| ~ $less(z2,X0)
| ( z3 = X0 )
| ( a(X0) != 4 ) )
| spl6_3
| ~ spl6_24
| ~ spl6_71
| ~ spl6_79 ),
inference(forward_subsumption_resolution,[],[f1073,f147]) ).
tff(f1075,plain,
( ! [X0: $int] :
( ( z2 = z4 )
| ( z3 = X0 )
| ( z2 = X0 )
| ~ $less(z2,X0)
| ( z3 = z4 )
| ( a(X0) != 4 )
| ( 5 != 5 )
| ( z4 = X0 ) )
| spl6_3
| ~ spl6_24
| ~ spl6_71
| ~ spl6_78
| ~ spl6_79 ),
inference(superposition,[],[f1074,f606]) ).
tff(f1076,plain,
( ! [X0: $int] :
( ( z3 = z4 )
| ~ $less(z2,X0)
| ( a(X0) != 4 )
| ( z2 = z4 )
| ( z3 = X0 )
| ( z2 = X0 )
| ( z4 = X0 ) )
| spl6_3
| ~ spl6_24
| ~ spl6_71
| ~ spl6_78
| ~ spl6_79 ),
inference(trivial_inequality_removal,[],[f1075]) ).
tff(f1077,plain,
( ! [X0: $int] :
( ~ $less(z2,X0)
| ( a(X0) != 4 )
| ( z2 = z4 )
| ( z3 = X0 )
| ( z4 = X0 )
| ( z2 = X0 ) )
| spl6_2
| spl6_3
| ~ spl6_24
| ~ spl6_71
| ~ spl6_78
| ~ spl6_79 ),
inference(forward_subsumption_resolution,[],[f1076,f142]) ).
tff(f1078,plain,
( ! [X0: $int] :
( ( a(X0) != 4 )
| ~ $less(z2,X0)
| ( z2 = X0 )
| ( z3 = X0 )
| ( z4 = X0 ) )
| spl6_1
| spl6_2
| spl6_3
| ~ spl6_24
| ~ spl6_71
| ~ spl6_78
| ~ spl6_79 ),
inference(forward_subsumption_resolution,[],[f1077,f137]) ).
tff(f1083,plain,
( ( z1 = z3 )
| ( z1 = z2 )
| ( z1 = z4 )
| ~ $less(z2,z1)
| ( 4 != 4 )
| spl6_1
| spl6_2
| spl6_3
| ~ spl6_24
| ~ spl6_71
| ~ spl6_72
| ~ spl6_78
| ~ spl6_79 ),
inference(superposition,[],[f1078,f553]) ).
tff(f1084,plain,
( ( z1 = z4 )
| ~ $less(z2,z1)
| ( z1 = z2 )
| ( z1 = z3 )
| spl6_1
| spl6_2
| spl6_3
| ~ spl6_24
| ~ spl6_71
| ~ spl6_72
| ~ spl6_78
| ~ spl6_79 ),
inference(trivial_inequality_removal,[],[f1083]) ).
tff(f1085,plain,
( ( z1 = z2 )
| ( z1 = z3 )
| ~ $less(z2,z1)
| spl6_1
| spl6_2
| spl6_3
| spl6_23
| ~ spl6_24
| ~ spl6_71
| ~ spl6_72
| ~ spl6_78
| ~ spl6_79 ),
inference(forward_subsumption_resolution,[],[f1084,f247]) ).
tff(f1086,plain,
( ~ $less(z2,z1)
| ( z1 = z3 )
| spl6_1
| spl6_2
| spl6_3
| spl6_21
| spl6_23
| ~ spl6_24
| ~ spl6_71
| ~ spl6_72
| ~ spl6_78
| ~ spl6_79 ),
inference(forward_subsumption_resolution,[],[f1085,f237]) ).
tff(f1087,plain,
( ( z1 = z3 )
| spl6_1
| spl6_2
| spl6_3
| ~ spl6_20
| spl6_21
| spl6_23
| ~ spl6_24
| ~ spl6_71
| ~ spl6_72
| ~ spl6_78
| ~ spl6_79 ),
inference(forward_subsumption_resolution,[],[f1086,f232]) ).
tff(f1088,plain,
( $false
| spl6_1
| spl6_2
| spl6_3
| spl6_6
| ~ spl6_20
| spl6_21
| spl6_23
| ~ spl6_24
| ~ spl6_71
| ~ spl6_72
| ~ spl6_78
| ~ spl6_79 ),
inference(forward_subsumption_resolution,[],[f1087,f162]) ).
tff(f1089,plain,
( spl6_1
| spl6_2
| spl6_3
| spl6_6
| ~ spl6_20
| spl6_21
| spl6_23
| ~ spl6_24
| ~ spl6_71
| ~ spl6_72
| ~ spl6_78
| ~ spl6_79 ),
inference(avatar_contradiction_clause,[],[f1088]) ).
tff(f1090,plain,
$false,
inference(avatar_smt_refutation,[],[f1089,f657,f607,f554,f530,f254,f248,f243,f238,f233,f213,f208,f203,f198,f193,f178,f173,f168,f163,f158,f148,f143,f138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW005_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n004.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 13:08:07 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.05/0.97 % (339232)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.05/0.97 % (339243)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1867230160:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.05/0.97 % (339243)Instruction limit reached!
% 3.05/0.97 % (339243)------------------------------
% 3.05/0.97 % (339243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/0.97 % (339243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.97 % (339243)CaDiCaL version: 2.1.3
% 3.05/0.97 % (339243)Termination reason: Instruction limit
% 3.05/0.97 % (339243)Termination phase: Saturation
% 3.05/0.97 % (339243)Time elapsed: 0.024 s
% 3.05/0.97 % (339243)Peak memory usage: 113 MB
% 3.05/0.97 % (339243)Instructions burned: 35 (million)
% 3.05/0.97 % (339241)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=462478725:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.05/0.97 % (339237)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2922242662:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.05/0.97 % (339240)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2931278747:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.05/0.97 % (339242)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3423370519:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.05/0.97 % (339238)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2819754607:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.05/0.97 % (339239)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2695676946:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.05/0.97 % (339241)Instruction limit reached!
% 3.05/0.97 % (339241)------------------------------
% 3.05/0.97 % (339241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/0.97 % (339241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.97 % (339241)CaDiCaL version: 2.1.3
% 3.05/0.97 % (339241)Termination reason: Instruction limit
% 3.05/0.97 % (339241)Termination phase: Preprocessing 1
% 3.05/0.97 % (339241)Time elapsed: 0.002 s
% 3.05/0.97 % (339241)Peak memory usage: 85 MB
% 3.05/0.97 % (339241)Instructions burned: 4 (million)
% 3.05/0.97 % (339240)Instruction limit reached!
% 3.05/0.97 % (339240)------------------------------
% 3.05/0.97 % (339240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/0.97 % (339240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.97 % (339240)CaDiCaL version: 2.1.3
% 3.05/0.97 % (339240)Termination reason: Instruction limit
% 3.05/0.97 % (339240)Termination phase: Preprocessing 2
% 3.05/0.97 % (339240)Time elapsed: 0.004 s
% 3.05/0.97 % (339240)Peak memory usage: 86 MB
% 3.05/0.97 % (339240)Instructions burned: 8 (million)
% 3.05/0.97 % (339237)Instruction limit reached!
% 3.05/0.97 % (339237)------------------------------
% 3.05/0.97 % (339237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/0.97 % (339237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.97 % (339237)CaDiCaL version: 2.1.3
% 3.05/0.97 % (339237)Termination reason: Instruction limit
% 3.05/0.97 % (339237)Termination phase: Preprocessing 3
% 3.05/0.97 % (339237)Time elapsed: 0.007 s
% 3.05/0.97 % (339237)Peak memory usage: 86 MB
% 3.05/0.97 % (339237)Instructions burned: 13 (million)
% 3.05/0.97 % (339242)Instruction limit reached!
% 3.05/0.97 % (339242)------------------------------
% 3.05/0.97 % (339242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/0.97 % (339242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.97 % (339242)CaDiCaL version: 2.1.3
% 3.05/0.97 % (339242)Termination reason: Instruction limit
% 3.05/0.97 % (339242)Termination phase: Saturation
% 3.05/0.97 % (339242)Time elapsed: 0.048 s
% 3.05/0.97 % (339242)Peak memory usage: 116 MB
% 3.05/0.97 % (339242)Instructions burned: 46 (million)
% 3.05/0.97 % (339238)First to succeed.
% 3.05/0.97 % (339245)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3885016001:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.05/0.97 % (339245)Instruction limit reached!
% 3.05/0.97 % (339245)------------------------------
% 3.05/0.97 % (339245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/0.98 % (339245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.98 % (339245)CaDiCaL version: 2.1.3
% 3.05/0.98 % (339245)Termination reason: Instruction limit
% 3.05/0.98 % (339245)Termination phase: Saturation
% 3.05/0.98 % (339245)Time elapsed: 0.005 s
% 3.05/0.98 % (339245)Peak memory usage: 89 MB
% 3.05/0.98 % (339245)Instructions burned: 16 (million)
% 3.05/0.98 % (339238)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-339232"
% 3.05/0.98 % (339239)Also succeeded, but the first one will report.
% 3.05/0.98 % (339252)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=3153297325:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.05/0.98 % (339253)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2909980045:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.05/0.98 % (339253)Instruction limit reached!
% 3.05/0.98 % (339253)------------------------------
% 3.05/0.98 % (339253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/0.98 % (339253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.98 % (339253)CaDiCaL version: 2.1.3
% 3.05/0.98 % (339253)Termination reason: Instruction limit
% 3.05/0.98 % (339253)Termination phase: Saturation
% 3.05/0.98 % (339253)Time elapsed: 0.010 s
% 3.05/0.98 % (339253)Peak memory usage: 89 MB
% 3.05/0.98 % (339253)Instructions burned: 17 (million)
% 3.05/0.98 % (339252)Instruction limit reached!
% 3.05/0.98 % (339252)------------------------------
% 3.05/0.98 % (339252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/0.98 % (339252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.98 % (339252)CaDiCaL version: 2.1.3
% 3.05/0.98 % (339252)Termination reason: Instruction limit
% 3.05/0.98 % (339252)Termination phase: Saturation
% 3.05/0.98 % (339252)Time elapsed: 0.017 s
% 3.05/0.98 % (339252)Peak memory usage: 88 MB
% 3.05/0.98 % (339252)Instructions burned: 30 (million)
% 3.05/0.98 % (339254)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=421006094:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 3.05/0.98 % (339254)Instruction limit reached!
% 3.05/0.98 % (339254)------------------------------
% 3.05/0.98 % (339254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/0.98 % (339254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.98 % (339254)CaDiCaL version: 2.1.3
% 3.05/0.98 % (339254)Termination reason: Instruction limit
% 3.05/0.98 % (339254)Termination phase: Saturation
% 3.05/0.98 % (339254)Time elapsed: 0.014 s
% 3.05/0.98 % (339254)Peak memory usage: 89 MB
% 3.05/0.98 % (339254)Instructions burned: 25 (million)
% 3.05/0.98 % (339255)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=62246985:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.05/0.98 % (339255)Instruction limit reached!
% 3.05/0.98 % (339255)------------------------------
% 3.05/0.98 % (339255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/0.98 % (339255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.98 % (339255)CaDiCaL version: 2.1.3
% 3.05/0.98 % (339255)Termination reason: Instruction limit
% 3.05/0.98 % (339255)Termination phase: Saturation
% 3.05/0.98 % (339255)Time elapsed: 0.014 s
% 3.05/0.98 % (339255)Peak memory usage: 89 MB
% 3.05/0.98 % (339255)Instructions burned: 27 (million)
% 3.05/0.98 % (339257)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=630541078:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 3.05/0.98 % (339257)Also succeeded, but the first one will report.
% 3.05/0.98 % (339260)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3507387981:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 3.05/0.98 % (339260)Instruction limit reached!
% 3.05/0.98 % (339260)------------------------------
% 3.05/0.98 % (339260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/0.98 % (339260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.98 % (339260)CaDiCaL version: 2.1.3
% 3.05/0.98 % (339260)Termination reason: Instruction limit
% 3.05/0.98 % (339260)Termination phase: Property scanning
% 3.05/0.98 % (339260)Time elapsed: 0.002 s
% 3.05/0.98 % (339260)Peak memory usage: 85 MB
% 3.05/0.98 % (339260)Instructions burned: 4 (million)
% 3.05/0.98 % (339261)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=530501050:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 3.05/0.98 % (339263)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2995320160:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 3.05/0.98 % (339263)Instruction limit reached!
% 3.05/0.98 % (339263)------------------------------
% 3.05/0.98 % (339263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/0.98 % (339263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.98 % (339263)CaDiCaL version: 2.1.3
% 3.05/0.98 % (339263)Termination reason: Instruction limit
% 3.05/0.98 % (339263)Termination phase: Preprocessing 1
% 3.05/0.98 % (339263)Time elapsed: 0.003 s
% 3.05/0.98 % (339263)Peak memory usage: 86 MB
% 3.05/0.98 % (339263)Instructions burned: 6 (million)
% 3.05/0.98 % (339238)Refutation found. Thanks to Tanya!
% 3.05/0.98 % SZS status Theorem for theBenchmark
% 3.05/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 4.28/1.18 % (339238)------------------------------
% 4.28/1.18 % (339238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.18 % (339238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.18 % (339238)CaDiCaL version: 2.1.3
% 4.28/1.18 % (339238)Termination reason: Refutation
% 4.28/1.18 % (339238)Time elapsed: 0.121 s
% 4.28/1.18 % (339238)Peak memory usage: 118 MB
% 4.28/1.18 % (339238)Instructions burned: 174 (million)
% 4.28/1.18 % (339238)------------------------------
% 4.28/1.18 % (339238)------------------------------
% 4.28/1.18 % (339232)Success in time 0.552 s
% 4.28/1.18 % Vampire exiting
%------------------------------------------------------------------------------