%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV998_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:19:56 PM UTC 2026
% Result : Theorem 3.15s 0.95s
% Output : Refutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 29
% Syntax : Number of formulae : 123 ( 45 unt; 0 typ; 28 def)
% Number of atoms : 6228 (5007 equ)
% Maximal formula atoms : 740 ( 50 avg)
% Number of connectives : 9420 (3315 ~;2107 |;3971 &)
% ( 22 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 110 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 6138 (1050 atm; 0 fun;3188 num;1900 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 27 ( 22 usr; 24 prp; 0-2 aty)
% Number of functors : 25 ( 14 usr; 23 con; 0-1 aty)
% Number of variables : 1900 (1900 !; 0 ?;1900 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
z1: $int ).
tff(func_def_1,type,
z2: $int ).
tff(func_def_2,type,
z3: $int ).
tff(func_def_3,type,
z4: $int ).
tff(func_def_4,type,
z5: $int ).
tff(func_def_5,type,
a: $int > $int ).
tff(func_def_6,type,
b: $int > $int ).
tff(func_def_18,type,
sF0: $int ).
tff(func_def_19,type,
sF1: $int ).
tff(func_def_20,type,
sF2: $int ).
tff(func_def_21,type,
sF3: $int ).
tff(func_def_22,type,
sF4: $int ).
tff(func_def_23,type,
sF5: $int ).
tff(func_def_24,type,
sF6: $int ).
tff(f1,conjecture,
( ( ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( b(X0) = 5 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( X2 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X2) = 7 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 6 )
& ( X0 != X1 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X2) = 8 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X3) = 2 )
& ( X0 != X2 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X3 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( a(X2) = 8 ) )
& ! [X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( a(X2) = 8 )
& ( b(X2) = 2 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( a(X2) = 7 )
& ( b(X3) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X2),4)
& ( X2 != X3 )
& ( X1 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( $less(b(X0),4)
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( b(X3) = 5 )
& $less(b(X1),3)
& ( a(X0) = 3 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X1 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 1 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X2) = 8 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X3 )
& ( X1 != X3 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( X0 != X2 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( X2 != X3 )
& ( b(X3) = 5 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X3 )
& ( b(X2) = 5 )
& ( a(X0) = 4 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& ( X2 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 2 )
& $less(b(X2),4)
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 8 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X2),4)
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( a(X0) = 2 )
& ( X0 != X1 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ( z2 != z4 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X2) = 5 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 6 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 1 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( b(X3) = 5 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( b(X2) = 2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ( z1 != z5 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( b(X1) = 2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 6 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X0) = 2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X2) = 2 )
& ( a(X2) = 6 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X0) = 12 )
& ( X0 != X2 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& ( a(X0) = 1 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X2 != X3 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( X0 != X3 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X0) = 12 )
& ( a(X2) = 4 )
& ( X0 != X1 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 6 )
& $less(b(X1),3)
& ( b(X0) = 5 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X3 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X3) = 5 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( a(X0) = 12 )
& $less(b(X1),3)
& ( X2 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( a(X2) = 8 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X2) = 5 )
& $less(b(X1),3)
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( X0 != X2 ) )
& ( z3 != z4 )
& ( z1 != z3 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ( z1 != z2 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X3: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X3 )
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& $less(b(X2),4)
& $less(X1,X0)
& ( a(X0) = 2 )
& ( b(X3) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 4 ) )
& ( z1 != z4 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ( z2 != z5 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 5 )
& ( a(X0) = 12 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X2) = 6 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( a(X0) = 5 )
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 7 )
& ( b(X1) = 2 )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(b(X2),4)
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 7 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X1 != X3 )
& ( X2 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X3) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( a(X2) = 7 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 4 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( a(X2) = 7 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 6 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X2) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 6 )
& ( a(X2) = 4 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 12 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& $less(b(X2),4) )
& ( z2 != z3 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X3: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( b(X3) = 2 )
& ( a(X0) = 5 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X1 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( X2 != X3 )
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( b(X2) = 2 )
& ( X0 != X3 ) )
& ( z3 != z5 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 7 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 1 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X3 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( X2 != X3 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 8 ) )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 5 )
& ( X1 != X3 )
& ( a(X2) = 6 )
& ( X1 != X2 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X2 != X3 )
& ( b(X3) = 2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0)
& ( a(X0) = 3 )
& ( X0 != X3 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& $less(b(X0),4)
& ( a(X1) = 10 )
& ( X2 != X3 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( b(X3) = 2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X0 != X3 )
& ( a(X0) = 5 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X2) = 2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( a(X2) = 6 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X0) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X2) = 8 )
& $less(b(X0),4)
& $less(X1,X0)
& ( X0 != X1 )
& $less(b(X2),4)
& ( a(X0) = 3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 4 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X2) = 5 ) )
& ( z4 != z5 )
& ! [X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 8 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X0) = 5 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int] :
( $lesseq(b(X0),5)
& $lesseq(1,b(X0)) )
& $true
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( a(X2) = 4 )
& ( X0 != X1 )
& ( a(X0) = 7 ) )
& ! [X0: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( a(X0) = 9 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X1 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( a(X2) = 5 )
& ( a(X0) = 6 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X3 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X3) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X2),4) )
& ! [X0: $int] :
( $lesseq(1,a(X0))
& $lesseq(a(X0),12) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X2) = 5 )
& ( b(X1) = 2 )
& ( X0 != X2 ) ) )
=> ~ ( $less(b(z2),3)
& ( b(z1) = 5 )
& ( a(z4) = 7 )
& ( a(z1) = 5 )
& $less(z2,z1)
& ( b(z4) = 2 )
& ( b(z3) = 5 )
& ( a(z2) = 10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( b(X0) = 5 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( X2 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X2) = 7 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 6 )
& ( X0 != X1 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X2) = 8 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X3) = 2 )
& ( X0 != X2 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X3 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( a(X2) = 8 ) )
& ! [X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( a(X2) = 8 )
& ( b(X2) = 2 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( a(X2) = 7 )
& ( b(X3) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X2),4)
& ( X2 != X3 )
& ( X1 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( $less(b(X0),4)
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( b(X3) = 5 )
& $less(b(X1),3)
& ( a(X0) = 3 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X1 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 1 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X2) = 8 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X3 )
& ( X1 != X3 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( X0 != X2 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( X2 != X3 )
& ( b(X3) = 5 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X3 )
& ( b(X2) = 5 )
& ( a(X0) = 4 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& ( X2 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 2 )
& $less(b(X2),4)
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 8 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X2),4)
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( a(X0) = 2 )
& ( X0 != X1 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ( z2 != z4 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X2) = 5 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 6 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 1 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( b(X3) = 5 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( b(X2) = 2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ( z1 != z5 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( b(X1) = 2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 6 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X0) = 2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X2) = 2 )
& ( a(X2) = 6 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X0) = 12 )
& ( X0 != X2 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& ( a(X0) = 1 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X2 != X3 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( X0 != X3 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X0) = 12 )
& ( a(X2) = 4 )
& ( X0 != X1 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 6 )
& $less(b(X1),3)
& ( b(X0) = 5 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X3 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X3) = 5 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( a(X0) = 12 )
& $less(b(X1),3)
& ( X2 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( a(X2) = 8 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X2) = 5 )
& $less(b(X1),3)
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( X0 != X2 ) )
& ( z3 != z4 )
& ( z1 != z3 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ( z1 != z2 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X3: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X3 )
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& $less(b(X2),4)
& $less(X1,X0)
& ( a(X0) = 2 )
& ( b(X3) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 4 ) )
& ( z1 != z4 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ( z2 != z5 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 5 )
& ( a(X0) = 12 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X2) = 6 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( a(X0) = 5 )
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 7 )
& ( b(X1) = 2 )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(b(X2),4)
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 7 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X1 != X3 )
& ( X2 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X3) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( a(X2) = 7 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 4 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( a(X2) = 7 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 6 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X2) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 6 )
& ( a(X2) = 4 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 12 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& $less(b(X2),4) )
& ( z2 != z3 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X3: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( b(X3) = 2 )
& ( a(X0) = 5 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X1 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( X2 != X3 )
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( b(X2) = 2 )
& ( X0 != X3 ) )
& ( z3 != z5 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 7 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 1 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X3 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( X2 != X3 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 8 ) )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 5 )
& ( X1 != X3 )
& ( a(X2) = 6 )
& ( X1 != X2 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X2 != X3 )
& ( b(X3) = 2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0)
& ( a(X0) = 3 )
& ( X0 != X3 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& $less(b(X0),4)
& ( a(X1) = 10 )
& ( X2 != X3 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( b(X3) = 2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X0 != X3 )
& ( a(X0) = 5 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X2) = 2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( a(X2) = 6 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X0) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X2) = 8 )
& $less(b(X0),4)
& $less(X1,X0)
& ( X0 != X1 )
& $less(b(X2),4)
& ( a(X0) = 3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 4 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X2) = 5 ) )
& ( z4 != z5 )
& ! [X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 8 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X0) = 5 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int] :
( $lesseq(b(X0),5)
& $lesseq(1,b(X0)) )
& $true
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( a(X2) = 4 )
& ( X0 != X1 )
& ( a(X0) = 7 ) )
& ! [X0: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( a(X0) = 9 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X1 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( a(X2) = 5 )
& ( a(X0) = 6 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X3 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X3) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X2),4) )
& ! [X0: $int] :
( $lesseq(1,a(X0))
& $lesseq(a(X0),12) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X2) = 5 )
& ( b(X1) = 2 )
& ( X0 != X2 ) ) )
=> ~ ( $less(b(z2),3)
& ( b(z1) = 5 )
& ( a(z4) = 7 )
& ( a(z1) = 5 )
& $less(z2,z1)
& ( b(z4) = 2 )
& ( b(z3) = 5 )
& ( a(z2) = 10 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( b(X0) = 5 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( X2 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X2) = 7 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 6 )
& ( X0 != X1 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X2) = 8 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X3) = 2 )
& ( X0 != X2 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X3 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( a(X2) = 8 ) )
& ! [X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( a(X2) = 8 )
& ( b(X2) = 2 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( a(X2) = 7 )
& ( b(X3) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X2),4)
& ( X2 != X3 )
& ( X1 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( $less(b(X0),4)
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( b(X3) = 5 )
& $less(b(X1),3)
& ( a(X0) = 3 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X1 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 1 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X2) = 8 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X3 )
& ( X1 != X3 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( X0 != X2 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( X2 != X3 )
& ( b(X3) = 5 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X3 )
& ( b(X2) = 5 )
& ( a(X0) = 4 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& ( X2 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 2 )
& $less(b(X2),4)
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 8 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X2),4)
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( a(X0) = 2 )
& ( X0 != X1 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ( z2 != z4 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X2) = 5 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 6 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 1 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( b(X3) = 5 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( b(X2) = 2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ( z1 != z5 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( b(X1) = 2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 6 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X0) = 2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X2) = 2 )
& ( a(X2) = 6 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X0) = 12 )
& ( X0 != X2 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& ( a(X0) = 1 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X2 != X3 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( X0 != X3 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X0) = 12 )
& ( a(X2) = 4 )
& ( X0 != X1 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 6 )
& $less(b(X1),3)
& ( b(X0) = 5 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X3 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X3) = 5 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( a(X0) = 12 )
& $less(b(X1),3)
& ( X2 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( a(X2) = 8 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X2) = 5 )
& $less(b(X1),3)
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( X0 != X2 ) )
& ( z3 != z4 )
& ( z1 != z3 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ( z1 != z2 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X3: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X3 )
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& $less(b(X2),4)
& $less(X1,X0)
& ( a(X0) = 2 )
& ( b(X3) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 4 ) )
& ( z1 != z4 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ( z2 != z5 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 5 )
& ( a(X0) = 12 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X2) = 6 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( a(X0) = 5 )
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 7 )
& ( b(X1) = 2 )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(b(X2),4)
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 7 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X1 != X3 )
& ( X2 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X3) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( a(X2) = 7 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 4 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( a(X2) = 7 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 6 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X2) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 6 )
& ( a(X2) = 4 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 12 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& $less(b(X2),4) )
& ( z2 != z3 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X3: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( b(X3) = 2 )
& ( a(X0) = 5 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X1 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( X2 != X3 )
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( b(X2) = 2 )
& ( X0 != X3 ) )
& ( z3 != z5 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 7 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 1 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X3 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( X2 != X3 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 8 ) )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 5 )
& ( X1 != X3 )
& ( a(X2) = 6 )
& ( X1 != X2 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X2 != X3 )
& ( b(X3) = 2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0)
& ( a(X0) = 3 )
& ( X0 != X3 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& $less(b(X0),4)
& ( a(X1) = 10 )
& ( X2 != X3 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( b(X3) = 2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X0 != X3 )
& ( a(X0) = 5 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X2) = 2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( a(X2) = 6 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X0) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X2) = 8 )
& $less(b(X0),4)
& $less(X1,X0)
& ( X0 != X1 )
& $less(b(X2),4)
& ( a(X0) = 3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 4 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X2) = 5 ) )
& ( z4 != z5 )
& ! [X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 8 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X0) = 5 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int] :
( ~ $less(5,b(X0))
& ~ $less(b(X0),1) )
& $true
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( a(X2) = 4 )
& ( X0 != X1 )
& ( a(X0) = 7 ) )
& ! [X0: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( a(X0) = 9 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X1 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( a(X2) = 5 )
& ( a(X0) = 6 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X3 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X3) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X2),4) )
& ! [X0: $int] :
( ~ $less(a(X0),1)
& ~ $less(12,a(X0)) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X2) = 5 )
& ( b(X1) = 2 )
& ( X0 != X2 ) ) )
=> ~ ( $less(b(z2),3)
& ( b(z1) = 5 )
& ( a(z4) = 7 )
& ( a(z1) = 5 )
& $less(z2,z1)
& ( b(z4) = 2 )
& ( b(z3) = 5 )
& ( a(z2) = 10 ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f4,plain,
~ ( ( ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( a(X0) = 5 )
& ( 10 = a(X3) )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( X0 != X3 )
& $less(b(X3),3)
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X1 != X3 )
& $less(X3,X0) )
& ! [X5: $int,X4: $int,X6: $int] :
~ ( ( 10 = a(X6) )
& ( 5 = a(X5) )
& ( 2 = b(X6) )
& ( X4 != X5 )
& ( X4 != X6 )
& $less(X6,X5)
& ( 7 = a(X4) )
& ( X5 != X6 )
& ( 5 = b(X5) ) )
& ! [X7: $int,X9: $int,X8: $int] :
~ ( $less(b(X8),3)
& $less(X8,X9)
& ( X8 != X9 )
& ( 8 = a(X7) )
& ( 10 = a(X8) )
& ( 6 = a(X9) )
& ( X7 != X8 )
& ( X7 != X9 ) )
& ! [X12: $int,X13: $int,X10: $int,X11: $int] :
~ ( ( X11 != X13 )
& ( X10 != X12 )
& ( 10 = a(X11) )
& ( 8 = a(X12) )
& ( X10 != X13 )
& ( 2 = b(X10) )
& $less(X11,X13)
& ( X11 != X12 )
& ( X12 != X13 )
& ( X10 != X11 )
& $less(b(X11),3)
& ( 5 = a(X13) ) )
& ! [X14: $int,X15: $int] :
~ ( ( 10 = a(X14) )
& ( X14 != X15 )
& ( 10 = a(X15) ) )
& ! [X16: $int,X17: $int,X18: $int] :
~ ( ( X16 != X18 )
& ( 8 = a(X18) )
& ( X16 != X17 )
& $less(X16,X17)
& ( X17 != X18 )
& ( 10 = a(X16) )
& ( 4 = a(X17) )
& ( 2 = b(X18) )
& $less(b(X16),3) )
& ! [X21: $int,X20: $int,X19: $int] :
~ ( $less(b(X19),3)
& ( 10 = a(X19) )
& ( 6 = a(X20) )
& ( 7 = a(X21) )
& ( X20 != X21 )
& ( X19 != X20 )
& $less(X19,X21)
& ( X19 != X21 )
& ( 5 = b(X21) ) )
& ! [X24: $int,X22: $int,X23: $int,X25: $int] :
~ ( ( 12 = a(X22) )
& ( X22 != X23 )
& ( 10 = a(X24) )
& ( X24 != X25 )
& ( 2 = b(X24) )
& ( X22 != X25 )
& ( X23 != X25 )
& $less(X24,X22)
& ( X22 != X24 )
& $less(b(X23),4)
& ( 5 = b(X25) )
& ( 7 = a(X23) )
& ( X23 != X24 ) )
& ! [X26: $int,X27: $int,X28: $int] :
~ ( $less(X28,X27)
& ( 5 = b(X27) )
& ( X26 != X28 )
& ( 2 = b(X26) )
& ( X27 != X28 )
& $less(b(X28),3)
& ( X26 != X27 )
& ( 10 = a(X28) )
& ( 7 = a(X26) )
& ( 12 = a(X27) ) )
& ! [X29: $int,X32: $int,X30: $int,X31: $int] :
~ ( ( X30 != X32 )
& ( 7 = a(X30) )
& ( 10 = a(X29) )
& ( X30 != X31 )
& $less(b(X31),4)
& ( X29 != X31 )
& $less(b(X29),3)
& ( 3 = a(X31) )
& ( 2 = b(X30) )
& ( 5 = b(X32) )
& ( X29 != X32 )
& ( X29 != X30 )
& ( X31 != X32 )
& $less(X29,X31) )
& ! [X35: $int,X34: $int,X33: $int] :
~ ( $less(X35,X33)
& $less(b(X35),3)
& ( 2 = b(X34) )
& ( X34 != X35 )
& ( 10 = a(X35) )
& ( X33 != X34 )
& ( 1 = a(X33) )
& ( X33 != X35 )
& ( 8 = a(X34) ) )
& ! [X36: $int,X37: $int,X39: $int,X38: $int] :
~ ( $less(b(X37),4)
& ( 7 = a(X37) )
& ( 2 = b(X36) )
& ( X36 != X38 )
& ( 10 = a(X36) )
& ( X36 != X39 )
& ( X37 != X38 )
& ( 1 = a(X38) )
& ( X37 != X39 )
& ( 5 = b(X39) )
& ( X38 != X39 )
& ( X36 != X37 )
& $less(X36,X38) )
& ! [X42: $int,X40: $int,X41: $int] :
~ ( ( X40 != X41 )
& ( 10 = a(X41) )
& ( X40 != X42 )
& ( 2 = b(X41) )
& ( 5 = a(X40) )
& ( X41 != X42 )
& $less(X41,X40)
& ( 5 = b(X42) ) )
& ! [X44: $int,X45: $int,X43: $int,X46: $int] :
~ ( ( X43 != X45 )
& ( 2 = b(X46) )
& ( X44 != X45 )
& ( X43 != X46 )
& ( X43 != X44 )
& $less(b(X44),3)
& $less(X44,X43)
& ( 5 = b(X45) )
& ( X45 != X46 )
& ( 10 = a(X44) )
& ( 4 = a(X43) )
& ( X44 != X46 ) )
& ! [X48: $int,X49: $int,X47: $int] :
~ ( ( X47 != X49 )
& ( 8 = a(X47) )
& $less(b(X47),4)
& $less(X49,X48)
& ( 2 = a(X48) )
& ( 2 = b(X49) )
& ( X48 != X49 )
& ( X47 != X48 )
& ( 10 = a(X49) ) )
& ! [X50: $int,X51: $int,X52: $int] :
~ ( ( 2 = b(X51) )
& ( X50 != X52 )
& ( 10 = a(X51) )
& $less(b(X50),4)
& ( X50 != X51 )
& ( 2 = a(X52) )
& ( 5 = b(X52) )
& $less(X51,X52)
& ( 7 = a(X50) )
& ( X51 != X52 ) )
& ! [X53: $int,X54: $int,X55: $int] :
~ ( ( 5 = b(X54) )
& ( 10 = a(X55) )
& ( 5 = a(X53) )
& ( X53 != X55 )
& ( X53 != X54 )
& ( 4 = a(X54) )
& $less(X55,X54)
& ( 2 = b(X55) )
& ( X54 != X55 ) )
& ( z2 != z4 )
& ! [X58: $int,X56: $int,X57: $int] :
~ ( ( 10 = a(X57) )
& $less(X57,X56)
& ( X56 != X57 )
& ( X57 != X58 )
& ( 5 = b(X58) )
& ( X56 != X58 )
& ( 6 = a(X56) )
& $less(b(X57),3) )
& ! [X60: $int,X61: $int,X59: $int] :
~ ( ( X59 != X60 )
& ( 4 = a(X60) )
& ( 1 = a(X59) )
& ( X60 != X61 )
& ( X59 != X61 )
& ( 2 = b(X61) )
& ( 5 = b(X59) )
& ( 10 = a(X61) )
& $less(X61,X59) )
& ! [X62: $int,X65: $int,X64: $int,X63: $int] :
~ ( ( 2 = a(X62) )
& ( 7 = a(X63) )
& ( 5 = b(X65) )
& ( X63 != X64 )
& ( 10 = a(X64) )
& $less(b(X64),3)
& $less(X64,X62)
& ( X62 != X65 )
& ( X63 != X65 )
& ( X62 != X64 )
& ( X62 != X63 )
& ( 2 = b(X63) )
& ( X64 != X65 ) )
& ! [X67: $int,X66: $int,X68: $int] :
~ ( ( X67 != X68 )
& ( 10 = a(X66) )
& ( X66 != X68 )
& ( 2 = b(X66) )
& $less(X66,X67)
& ( 8 = a(X68) )
& ( X66 != X67 )
& ( 4 = a(X67) ) )
& ( z1 != z5 )
& ! [X69: $int,X71: $int,X70: $int] :
~ ( ( X70 != X71 )
& ( 2 = b(X70) )
& ( 10 = a(X70) )
& ( X69 != X70 )
& ( 8 = a(X69) )
& $less(X70,X71)
& ( 5 = a(X71) )
& ( X69 != X71 ) )
& ! [X73: $int,X72: $int,X74: $int] :
~ ( ( 2 = a(X74) )
& ( X73 != X74 )
& $less(X72,X74)
& ( 10 = a(X72) )
& ( 2 = b(X72) )
& ( 5 = b(X74) )
& ( 6 = a(X73) )
& ( X72 != X73 )
& ( X72 != X74 ) )
& ! [X75: $int,X77: $int,X76: $int] :
~ ( $less(b(X76),3)
& ( X75 != X76 )
& ( X75 != X77 )
& $less(X76,X75)
& ( 2 = b(X77) )
& ( 10 = a(X76) )
& ( X76 != X77 )
& ( 5 = a(X75) )
& ( 6 = a(X77) )
& ( 5 = b(X75) ) )
& ! [X79: $int,X80: $int,X78: $int] :
~ ( ( 12 = a(X79) )
& $less(X80,X79)
& ( 5 = b(X79) )
& ( X78 != X80 )
& ( X79 != X80 )
& ( 10 = a(X80) )
& ( 2 = b(X80) )
& ( X78 != X79 )
& ( 6 = a(X78) ) )
& ! [X84: $int,X83: $int,X81: $int,X82: $int] :
~ ( ( X81 != X83 )
& ( 7 = a(X82) )
& ( 10 = a(X84) )
& $less(b(X84),3)
& ( X82 != X83 )
& ( X83 != X84 )
& ( X82 != X84 )
& $less(X84,X83)
& ( 5 = b(X81) )
& ( 2 = b(X82) )
& ( X81 != X82 )
& ( X81 != X84 )
& ( 1 = a(X83) ) )
& ! [X85: $int,X87: $int,X86: $int] :
~ ( ( X86 != X87 )
& ( 5 = b(X85) )
& ( 4 = a(X87) )
& ( 10 = a(X86) )
& ( 12 = a(X85) )
& ( X85 != X86 )
& ( 2 = b(X86) )
& ( X85 != X87 )
& $less(X86,X85) )
& ! [X90: $int,X89: $int,X88: $int] :
~ ( ( 6 = a(X90) )
& ( X88 != X90 )
& ( X89 != X90 )
& ( 10 = a(X88) )
& ( X88 != X89 )
& ( 5 = b(X90) )
& $less(X88,X90)
& $less(b(X88),3)
& ( 6 = a(X89) ) )
& ! [X92: $int,X93: $int,X94: $int,X91: $int] :
~ ( ( 10 = a(X93) )
& ( 7 = a(X92) )
& ( 12 = a(X94) )
& ( 2 = b(X92) )
& $less(X93,X94)
& ( 5 = b(X91) )
& ( X93 != X94 )
& ( X91 != X92 )
& ( X92 != X94 )
& $less(b(X93),3)
& ( X91 != X94 )
& ( X92 != X93 )
& ( X91 != X93 ) )
& ! [X95: $int,X97: $int,X96: $int] :
~ ( ( 8 = a(X95) )
& ( 3 = a(X96) )
& ( X96 != X97 )
& $less(b(X97),3)
& ( X95 != X96 )
& ( 10 = a(X97) )
& ( 2 = b(X95) )
& ( X95 != X97 )
& $less(X97,X96)
& $less(b(X96),4) )
& ! [X100: $int,X98: $int,X99: $int] :
~ ( ( 10 = a(X99) )
& $less(b(X99),3)
& ( 7 = a(X98) )
& ( 5 = b(X100) )
& ( X99 != X100 )
& $less(X99,X98)
& ( X98 != X100 )
& ( X98 != X99 ) )
& ( z3 != z4 )
& ( z1 != z3 )
& ! [X103: $int,X102: $int,X101: $int] :
~ ( $less(X102,X103)
& ( X101 != X102 )
& ( X102 != X103 )
& ( X101 != X103 )
& ( 4 = a(X103) )
& ( 2 = b(X102) )
& ( 10 = a(X102) )
& ( 7 = a(X101) )
& ( 5 = b(X103) ) )
& ( z1 != z2 )
& ! [X106: $int,X105: $int,X104: $int] :
~ ( ( X105 != X106 )
& $less(b(X104),3)
& ( 2 = b(X105) )
& ( 10 = a(X104) )
& ( 8 = a(X105) )
& ( 2 = a(X106) )
& $less(X104,X106)
& ( X104 != X105 )
& ( X104 != X106 ) )
& ! [X109: $int,X108: $int,X107: $int,X110: $int] :
~ ( ( X109 != X110 )
& ( 5 = b(X109) )
& ( X107 != X110 )
& ( 2 = b(X107) )
& ( X107 != X108 )
& $less(b(X108),4)
& $less(X107,X110)
& ( X108 != X110 )
& ( X108 != X109 )
& ( X107 != X109 )
& ( 7 = a(X108) )
& ( 10 = a(X107) )
& ( 2 = a(X110) ) )
& ! [X113: $int,X112: $int,X111: $int] :
~ ( ( 4 = a(X113) )
& ( 4 = a(X111) )
& ( 5 = b(X113) )
& ( X111 != X113 )
& $less(X112,X113)
& ( X112 != X113 )
& ( X111 != X112 )
& ( 2 = b(X112) )
& ( 10 = a(X112) ) )
& ( z1 != z4 )
& ! [X116: $int,X115: $int,X114: $int] :
~ ( ( 10 = a(X116) )
& ( 7 = a(X115) )
& ( 5 = b(X114) )
& ( X114 != X115 )
& ( 6 = a(X114) )
& ( X114 != X116 )
& ( X115 != X116 )
& $less(b(X116),3)
& $less(X116,X114) )
& ( z2 != z5 )
& ! [X119: $int,X118: $int,X117: $int] :
~ ( $less(X119,X117)
& ( X117 != X118 )
& ( 2 = b(X119) )
& ( X118 != X119 )
& ( 5 = b(X117) )
& ( 5 = a(X118) )
& ( 10 = a(X119) )
& ( 12 = a(X117) )
& ( X117 != X119 ) )
& ! [X121: $int,X122: $int,X120: $int] :
~ ( ( 6 = a(X120) )
& ( 5 = b(X121) )
& ( X121 != X122 )
& ( 2 = b(X122) )
& $less(X122,X121)
& ( 10 = a(X122) )
& ( X120 != X121 )
& ( X120 != X122 )
& ( 1 = a(X121) ) )
& ! [X125: $int,X124: $int,X123: $int] :
~ ( ( X123 != X124 )
& ( X124 != X125 )
& $less(X124,X125)
& ( 5 = a(X125) )
& ( 2 = b(X123) )
& $less(b(X124),3)
& ( X123 != X125 )
& ( 5 = b(X125) )
& ( 7 = a(X123) )
& ( 10 = a(X124) ) )
& ! [X127: $int,X128: $int,X126: $int] :
~ ( ( X126 != X128 )
& ( 5 = b(X126) )
& $less(X127,X126)
& ( 10 = a(X127) )
& ( X127 != X128 )
& ( 7 = a(X128) )
& ( 2 = b(X128) )
& ( 1 = a(X126) )
& ( X126 != X127 )
& $less(b(X127),3) )
& ! [X129: $int,X130: $int,X131: $int] :
~ ( ( 12 = a(X131) )
& $less(X129,X131)
& ( 2 = b(X129) )
& ( 7 = a(X130) )
& ( 10 = a(X129) )
& ( X129 != X130 )
& ( X129 != X131 )
& ( 5 = b(X131) )
& $less(b(X130),4)
& ( X130 != X131 ) )
& ! [X134: $int,X132: $int,X133: $int] :
~ ( ( X133 != X134 )
& $less(b(X134),3)
& ( X132 != X133 )
& ( X132 != X134 )
& ( 10 = a(X134) )
& ( 7 = a(X132) )
& ( 7 = a(X133) )
& ( 5 = b(X133) )
& $less(X134,X133) )
& ! [X137: $int,X138: $int,X136: $int,X135: $int] :
~ ( ( 5 = b(X138) )
& $less(X135,X136)
& $less(b(X135),3)
& ( 4 = a(X136) )
& ( X135 != X136 )
& ( 10 = a(X135) )
& ( X135 != X138 )
& ( 2 = b(X137) )
& ( X135 != X137 )
& ( 7 = a(X137) )
& ( X136 != X137 )
& ( X136 != X138 )
& ( X137 != X138 ) )
& ! [X140: $int,X139: $int,X141: $int] :
~ ( ( 5 = b(X141) )
& ( X139 != X140 )
& ( X139 != X141 )
& $less(X140,X141)
& ( 6 = a(X139) )
& ( 2 = b(X140) )
& ( 10 = a(X140) )
& ( X140 != X141 )
& ( 4 = a(X141) ) )
& ! [X143: $int,X142: $int,X144: $int] :
~ ( $less(X143,X144)
& ( 5 = b(X144) )
& ( X142 != X143 )
& ( 7 = a(X142) )
& ( X142 != X144 )
& ( X143 != X144 )
& ( 4 = a(X144) )
& ( 2 = b(X142) )
& $less(b(X143),3)
& ( 10 = a(X143) ) )
& ! [X145: $int,X146: $int,X147: $int] :
~ ( ( 5 = a(X145) )
& ( 2 = b(X147) )
& ( 5 = b(X146) )
& ( 10 = a(X147) )
& ( X146 != X147 )
& ( X145 != X147 )
& ( X145 != X146 )
& ( 6 = a(X146) )
& $less(X147,X146) )
& ! [X150: $int,X149: $int,X148: $int] :
~ ( ( 4 = a(X149) )
& ( X149 != X150 )
& ( 10 = a(X150) )
& ( 5 = b(X148) )
& ( X148 != X150 )
& ( 2 = b(X150) )
& ( X148 != X149 )
& ( 6 = a(X148) )
& $less(X150,X148) )
& ! [X152: $int,X151: $int,X153: $int] :
~ ( ( 10 = a(X151) )
& ( X152 != X153 )
& $less(X151,X152)
& ( X151 != X153 )
& ( 12 = a(X152) )
& ( 8 = a(X153) )
& $less(b(X153),4)
& ( 2 = b(X151) )
& ( X151 != X152 ) )
& ( z2 != z3 )
& ! [X156: $int,X155: $int,X154: $int] :
~ ( ( 5 = a(X155) )
& ( 1 = a(X154) )
& ( X155 != X156 )
& ( X154 != X155 )
& ( 10 = a(X156) )
& $less(X156,X154)
& ( X154 != X156 )
& ( 2 = b(X156) )
& ( 5 = b(X154) ) )
& ! [X160: $int,X159: $int,X157: $int,X158: $int] :
~ ( ( 5 = a(X157) )
& $less(b(X159),3)
& $less(X159,X160)
& ( X157 != X160 )
& ( X158 != X160 )
& ( 5 = a(X160) )
& ( X157 != X159 )
& ( 10 = a(X159) )
& ( 5 = b(X160) )
& ( X159 != X160 )
& ( X157 != X158 )
& ( X158 != X159 )
& ( 2 = b(X158) )
& ( 2 = b(X157) ) )
& ( z3 != z5 )
& ! [X162: $int,X161: $int,X163: $int] :
~ ( $less(X161,X163)
& ( 1 = a(X163) )
& $less(b(X162),4)
& ( 2 = b(X161) )
& ( 7 = a(X162) )
& ( 5 = b(X163) )
& ( X162 != X163 )
& ( X161 != X163 )
& ( X161 != X162 )
& ( 10 = a(X161) ) )
& ! [X164: $int,X167: $int,X166: $int,X165: $int] :
~ ( ( X165 != X166 )
& ( X164 != X167 )
& ( 2 = a(X165) )
& ( 5 = a(X164) )
& ( X164 != X166 )
& $less(X166,X164)
& $less(b(X166),3)
& ( X164 != X165 )
& ( 10 = a(X166) )
& ( X165 != X167 )
& ( 5 = b(X167) )
& ( X166 != X167 ) )
& ! [X170: $int,X168: $int,X169: $int] :
~ ( ( 10 = a(X169) )
& ( 2 = b(X170) )
& ( 8 = a(X170) )
& ( X168 != X169 )
& ( X169 != X170 )
& ( X168 != X170 )
& $less(X169,X168)
& $less(b(X169),3)
& ( 5 = a(X168) ) )
& ! [X171: $int,X173: $int,X172: $int,X174: $int] :
~ ( ( 6 = a(X173) )
& ( X172 != X174 )
& ( 10 = a(X171) )
& ( 5 = a(X174) )
& ( X171 != X173 )
& ( X172 != X173 )
& ( X171 != X172 )
& ( 2 = b(X172) )
& ( X171 != X174 )
& $less(X171,X174)
& ( X173 != X174 )
& ( 5 = b(X174) )
& $less(b(X171),3) )
& ! [X178: $int,X177: $int,X176: $int,X175: $int] :
~ ( $less(b(X177),4)
& ( X176 != X177 )
& ( X175 != X176 )
& ( X175 != X177 )
& ( 2 = b(X178) )
& ( 3 = a(X177) )
& $less(X178,X177)
& ( X175 != X178 )
& ( 10 = a(X178) )
& ( 7 = a(X175) )
& ( X176 != X178 )
& ( 5 = b(X176) )
& $less(b(X175),4)
& ( X177 != X178 ) )
& ! [X181: $int,X179: $int,X182: $int,X180: $int] :
~ ( ( 2 = b(X180) )
& ( X179 != X180 )
& ( X179 != X182 )
& $less(b(X179),3)
& $less(X179,X181)
& ( X179 != X181 )
& ( X181 != X182 )
& ( 10 = a(X179) )
& ( X180 != X182 )
& ( 5 = a(X181) )
& ( 5 = b(X182) )
& ( X180 != X181 ) )
& ! [X183: $int,X185: $int,X184: $int] :
~ ( ( 5 = b(X185) )
& $less(X183,X184)
& ( 4 = a(X184) )
& ( X183 != X185 )
& ( X184 != X185 )
& ( X183 != X184 )
& ( 10 = a(X183) )
& ( 2 = b(X183) ) )
& ! [X186: $int,X187: $int,X188: $int] :
~ ( ( X187 != X188 )
& ( 2 = b(X188) )
& $less(X187,X186)
& ( X186 != X187 )
& $less(b(X187),3)
& ( X186 != X188 )
& ( 12 = a(X186) )
& ( 8 = a(X188) )
& ( 10 = a(X187) ) )
& ! [X191: $int,X189: $int,X190: $int] :
~ ( ( X189 != X191 )
& ( X189 != X190 )
& $less(X190,X189)
& ( 6 = a(X191) )
& ( 10 = a(X190) )
& ( 5 = a(X189) )
& ( 5 = b(X189) )
& ( X190 != X191 )
& ( 2 = b(X190) ) )
& ! [X194: $int,X192: $int,X193: $int] :
~ ( ( 7 = a(X193) )
& ( 2 = b(X193) )
& $less(b(X192),3)
& ( 10 = a(X192) )
& ( X192 != X194 )
& ( 5 = b(X194) )
& ( 2 = a(X194) )
& ( X192 != X193 )
& ( X193 != X194 )
& $less(X192,X194) )
& ! [X195: $int,X197: $int,X196: $int] :
~ ( ( 2 = a(X195) )
& ( 10 = a(X196) )
& ( 5 = a(X197) )
& ( 2 = b(X196) )
& $less(X196,X195)
& ( X195 != X197 )
& ( X196 != X197 )
& ( X195 != X196 )
& ( 5 = b(X195) ) )
& ! [X198: $int,X199: $int,X200: $int] :
~ ( ( 3 = a(X198) )
& ( X198 != X199 )
& ( X199 != X200 )
& $less(b(X198),4)
& $less(b(X199),4)
& ( X198 != X200 )
& ( 10 = a(X200) )
& ( 2 = b(X200) )
& ( 8 = a(X199) )
& $less(X200,X198) )
& ! [X203: $int,X202: $int,X201: $int] :
~ ( ( 10 = a(X202) )
& ( X202 != X203 )
& ( 5 = b(X203) )
& $less(X202,X203)
& ( X201 != X202 )
& ( X201 != X203 )
& ( 2 = b(X202) )
& ( 2 = a(X203) )
& ( 4 = a(X201) ) )
& ! [X206: $int,X207: $int,X205: $int,X204: $int] :
~ ( ( 10 = a(X206) )
& ( 5 = b(X204) )
& ( 2 = b(X205) )
& ( X204 != X207 )
& $less(b(X206),3)
& ( X206 != X207 )
& $less(X206,X204)
& ( 7 = a(X204) )
& ( X205 != X207 )
& ( X204 != X205 )
& ( 5 = a(X207) )
& ( X204 != X206 )
& ( X205 != X206 ) )
& ( z4 != z5 )
& ! [X209: $int,X208: $int] :
~ ( ( 8 = a(X208) )
& $less(b(X209),3)
& $less(X209,X208)
& ( X208 != X209 )
& ( 10 = a(X209) ) )
& ! [X211: $int,X210: $int,X212: $int] :
~ ( ( 5 = a(X210) )
& ( 5 = a(X211) )
& ( X211 != X212 )
& $less(X212,X210)
& ( 5 = b(X210) )
& ( X210 != X211 )
& ( 10 = a(X212) )
& ( X210 != X212 )
& ( 2 = b(X212) ) )
& ! [X215: $int,X213: $int,X214: $int] :
~ ( $less(X213,X214)
& ( X213 != X214 )
& ( X213 != X215 )
& ( 8 = a(X215) )
& $less(b(X213),3)
& ( 10 = a(X213) )
& ( 7 = a(X214) )
& ( X214 != X215 ) )
& ! [X216: $int] :
( ~ $less(5,b(X216))
& ~ $less(b(X216),1) )
& $true
& ! [X218: $int,X219: $int,X217: $int] :
~ ( ( 2 = b(X217) )
& ( X218 != X219 )
& ( 10 = a(X217) )
& ( 5 = b(X219) )
& ( 4 = a(X218) )
& ( X217 != X218 )
& ( 7 = a(X219) )
& ( X217 != X219 )
& $less(X217,X219) )
& ! [X220: $int,X221: $int] :
~ ( ( X220 != X221 )
& ( 10 = a(X221) )
& $less(X221,X220)
& $less(b(X221),3)
& ( 9 = a(X220) ) )
& ! [X224: $int,X223: $int,X225: $int,X222: $int] :
~ ( ( X222 != X223 )
& ( X223 != X224 )
& ( X222 != X224 )
& ( 10 = a(X223) )
& ( 5 = a(X222) )
& $less(b(X223),3)
& ( X224 != X225 )
& ( X222 != X225 )
& ( 6 = a(X225) )
& $less(X223,X225)
& ( X223 != X225 )
& ( 2 = b(X224) )
& ( 5 = b(X225) ) )
& ! [X227: $int,X228: $int,X226: $int] :
~ ( ( X226 != X227 )
& $less(b(X226),4)
& ( 8 = a(X226) )
& ( X226 != X228 )
& ( X227 != X228 )
& ( 10 = a(X227) )
& $less(X227,X228)
& ( 2 = b(X227) )
& ( 1 = a(X228) ) )
& ! [X229: $int] :
( ~ $less(12,a(X229))
& ~ $less(a(X229),1) )
& ! [X230: $int,X232: $int,X231: $int] :
~ ( ( 10 = a(X232) )
& ( X230 != X232 )
& $less(X232,X230)
& ( 5 = b(X230) )
& ( 5 = a(X230) )
& ( X231 != X232 )
& ( 2 = b(X232) )
& ( 4 = a(X231) )
& ( X230 != X231 ) )
& ! [X234: $int,X235: $int,X233: $int] :
~ ( ( X234 != X235 )
& ( X233 != X234 )
& ( X233 != X235 )
& ( 5 = a(X234) )
& ( 5 = b(X235) )
& ( 7 = a(X235) )
& ( 10 = a(X233) )
& ( 2 = b(X233) )
& $less(X233,X235) ) )
=> ~ ( $less(b(z2),3)
& ( b(z1) = 5 )
& ( a(z4) = 7 )
& ( a(z1) = 5 )
& $less(z2,z1)
& ( b(z4) = 2 )
& ( b(z3) = 5 )
& ( a(z2) = 10 ) ) ),
inference(rectify,[],[f3]) ).
tff(f5,plain,
~ ( ( ! [X79: $int,X80: $int,X78: $int] :
~ ( ( 12 = a(X79) )
& $less(X80,X79)
& ( 5 = b(X79) )
& ( X78 != X80 )
& ( X79 != X80 )
& ( 10 = a(X80) )
& ( 2 = b(X80) )
& ( X78 != X79 )
& ( 6 = a(X78) ) )
& ! [X143: $int,X142: $int,X144: $int] :
~ ( $less(X143,X144)
& ( 5 = b(X144) )
& ( X142 != X143 )
& ( 7 = a(X142) )
& ( X142 != X144 )
& ( X143 != X144 )
& ( 4 = a(X144) )
& ( 2 = b(X142) )
& $less(b(X143),3)
& ( 10 = a(X143) ) )
& ! [X36: $int,X37: $int,X39: $int,X38: $int] :
~ ( $less(b(X37),4)
& ( 7 = a(X37) )
& ( 2 = b(X36) )
& ( X36 != X38 )
& ( 10 = a(X36) )
& ( X36 != X39 )
& ( X37 != X38 )
& ( 1 = a(X38) )
& ( X37 != X39 )
& ( 5 = b(X39) )
& ( X38 != X39 )
& ( X36 != X37 )
& $less(X36,X38) )
& ! [X26: $int,X27: $int,X28: $int] :
~ ( $less(X28,X27)
& ( 5 = b(X27) )
& ( X26 != X28 )
& ( 2 = b(X26) )
& ( X27 != X28 )
& $less(b(X28),3)
& ( X26 != X27 )
& ( 10 = a(X28) )
& ( 7 = a(X26) )
& ( 12 = a(X27) ) )
& ! [X171: $int,X173: $int,X172: $int,X174: $int] :
~ ( ( 6 = a(X173) )
& ( X172 != X174 )
& ( 10 = a(X171) )
& ( 5 = a(X174) )
& ( X171 != X173 )
& ( X172 != X173 )
& ( X171 != X172 )
& ( 2 = b(X172) )
& ( X171 != X174 )
& $less(X171,X174)
& ( X173 != X174 )
& ( 5 = b(X174) )
& $less(b(X171),3) )
& ! [X58: $int,X56: $int,X57: $int] :
~ ( ( 10 = a(X57) )
& $less(X57,X56)
& ( X56 != X57 )
& ( X57 != X58 )
& ( 5 = b(X58) )
& ( X56 != X58 )
& ( 6 = a(X56) )
& $less(b(X57),3) )
& ! [X35: $int,X34: $int,X33: $int] :
~ ( $less(X35,X33)
& $less(b(X35),3)
& ( 2 = b(X34) )
& ( X34 != X35 )
& ( 10 = a(X35) )
& ( X33 != X34 )
& ( 1 = a(X33) )
& ( X33 != X35 )
& ( 8 = a(X34) ) )
& ! [X195: $int,X197: $int,X196: $int] :
~ ( ( 2 = a(X195) )
& ( 10 = a(X196) )
& ( 5 = a(X197) )
& ( 2 = b(X196) )
& $less(X196,X195)
& ( X195 != X197 )
& ( X196 != X197 )
& ( X195 != X196 )
& ( 5 = b(X195) ) )
& ! [X227: $int,X228: $int,X226: $int] :
~ ( ( X226 != X227 )
& $less(b(X226),4)
& ( 8 = a(X226) )
& ( X226 != X228 )
& ( X227 != X228 )
& ( 10 = a(X227) )
& $less(X227,X228)
& ( 2 = b(X227) )
& ( 1 = a(X228) ) )
& ! [X106: $int,X105: $int,X104: $int] :
~ ( ( X105 != X106 )
& $less(b(X104),3)
& ( 2 = b(X105) )
& ( 10 = a(X104) )
& ( 8 = a(X105) )
& ( 2 = a(X106) )
& $less(X104,X106)
& ( X104 != X105 )
& ( X104 != X106 ) )
& ! [X164: $int,X167: $int,X166: $int,X165: $int] :
~ ( ( X165 != X166 )
& ( X164 != X167 )
& ( 2 = a(X165) )
& ( 5 = a(X164) )
& ( X164 != X166 )
& $less(X166,X164)
& $less(b(X166),3)
& ( X164 != X165 )
& ( 10 = a(X166) )
& ( X165 != X167 )
& ( 5 = b(X167) )
& ( X166 != X167 ) )
& ! [X216: $int] :
( ~ $less(5,b(X216))
& ~ $less(b(X216),1) )
& ! [X234: $int,X235: $int,X233: $int] :
~ ( ( X234 != X235 )
& ( X233 != X234 )
& ( X233 != X235 )
& ( 5 = a(X234) )
& ( 5 = b(X235) )
& ( 7 = a(X235) )
& ( 10 = a(X233) )
& ( 2 = b(X233) )
& $less(X233,X235) )
& ! [X90: $int,X89: $int,X88: $int] :
~ ( ( 6 = a(X90) )
& ( X88 != X90 )
& ( X89 != X90 )
& ( 10 = a(X88) )
& ( X88 != X89 )
& ( 5 = b(X90) )
& $less(X88,X90)
& $less(b(X88),3)
& ( 6 = a(X89) ) )
& ! [X42: $int,X40: $int,X41: $int] :
~ ( ( X40 != X41 )
& ( 10 = a(X41) )
& ( X40 != X42 )
& ( 2 = b(X41) )
& ( 5 = a(X40) )
& ( X41 != X42 )
& $less(X41,X40)
& ( 5 = b(X42) ) )
& ! [X220: $int,X221: $int] :
~ ( ( X220 != X221 )
& ( 10 = a(X221) )
& $less(X221,X220)
& $less(b(X221),3)
& ( 9 = a(X220) ) )
& ! [X181: $int,X179: $int,X182: $int,X180: $int] :
~ ( ( 2 = b(X180) )
& ( X179 != X180 )
& ( X179 != X182 )
& $less(b(X179),3)
& $less(X179,X181)
& ( X179 != X181 )
& ( X181 != X182 )
& ( 10 = a(X179) )
& ( X180 != X182 )
& ( 5 = a(X181) )
& ( 5 = b(X182) )
& ( X180 != X181 ) )
& ! [X95: $int,X97: $int,X96: $int] :
~ ( ( 8 = a(X95) )
& ( 3 = a(X96) )
& ( X96 != X97 )
& $less(b(X97),3)
& ( X95 != X96 )
& ( 10 = a(X97) )
& ( 2 = b(X95) )
& ( X95 != X97 )
& $less(X97,X96)
& $less(b(X96),4) )
& ! [X160: $int,X159: $int,X157: $int,X158: $int] :
~ ( ( 5 = a(X157) )
& $less(b(X159),3)
& $less(X159,X160)
& ( X157 != X160 )
& ( X158 != X160 )
& ( 5 = a(X160) )
& ( X157 != X159 )
& ( 10 = a(X159) )
& ( 5 = b(X160) )
& ( X159 != X160 )
& ( X157 != X158 )
& ( X158 != X159 )
& ( 2 = b(X158) )
& ( 2 = b(X157) ) )
& ! [X215: $int,X213: $int,X214: $int] :
~ ( $less(X213,X214)
& ( X213 != X214 )
& ( X213 != X215 )
& ( 8 = a(X215) )
& $less(b(X213),3)
& ( 10 = a(X213) )
& ( 7 = a(X214) )
& ( X214 != X215 ) )
& ! [X209: $int,X208: $int] :
~ ( ( 8 = a(X208) )
& $less(b(X209),3)
& $less(X209,X208)
& ( X208 != X209 )
& ( 10 = a(X209) ) )
& ( z2 != z5 )
& ! [X24: $int,X22: $int,X23: $int,X25: $int] :
~ ( ( 12 = a(X22) )
& ( X22 != X23 )
& ( 10 = a(X24) )
& ( X24 != X25 )
& ( 2 = b(X24) )
& ( X22 != X25 )
& ( X23 != X25 )
& $less(X24,X22)
& ( X22 != X24 )
& $less(b(X23),4)
& ( 5 = b(X25) )
& ( 7 = a(X23) )
& ( X23 != X24 ) )
& ( z2 != z4 )
& ( z1 != z5 )
& ! [X198: $int,X199: $int,X200: $int] :
~ ( ( 3 = a(X198) )
& ( X198 != X199 )
& ( X199 != X200 )
& $less(b(X198),4)
& $less(b(X199),4)
& ( X198 != X200 )
& ( 10 = a(X200) )
& ( 2 = b(X200) )
& ( 8 = a(X199) )
& $less(X200,X198) )
& ! [X60: $int,X61: $int,X59: $int] :
~ ( ( X59 != X60 )
& ( 4 = a(X60) )
& ( 1 = a(X59) )
& ( X60 != X61 )
& ( X59 != X61 )
& ( 2 = b(X61) )
& ( 5 = b(X59) )
& ( 10 = a(X61) )
& $less(X61,X59) )
& ! [X137: $int,X138: $int,X136: $int,X135: $int] :
~ ( ( 5 = b(X138) )
& $less(X135,X136)
& $less(b(X135),3)
& ( 4 = a(X136) )
& ( X135 != X136 )
& ( 10 = a(X135) )
& ( X135 != X138 )
& ( 2 = b(X137) )
& ( X135 != X137 )
& ( 7 = a(X137) )
& ( X136 != X137 )
& ( X136 != X138 )
& ( X137 != X138 ) )
& ! [X211: $int,X210: $int,X212: $int] :
~ ( ( 5 = a(X210) )
& ( 5 = a(X211) )
& ( X211 != X212 )
& $less(X212,X210)
& ( 5 = b(X210) )
& ( X210 != X211 )
& ( 10 = a(X212) )
& ( X210 != X212 )
& ( 2 = b(X212) ) )
& ! [X84: $int,X83: $int,X81: $int,X82: $int] :
~ ( ( X81 != X83 )
& ( 7 = a(X82) )
& ( 10 = a(X84) )
& $less(b(X84),3)
& ( X82 != X83 )
& ( X83 != X84 )
& ( X82 != X84 )
& $less(X84,X83)
& ( 5 = b(X81) )
& ( 2 = b(X82) )
& ( X81 != X82 )
& ( X81 != X84 )
& ( 1 = a(X83) ) )
& ! [X103: $int,X102: $int,X101: $int] :
~ ( $less(X102,X103)
& ( X101 != X102 )
& ( X102 != X103 )
& ( X101 != X103 )
& ( 4 = a(X103) )
& ( 2 = b(X102) )
& ( 10 = a(X102) )
& ( 7 = a(X101) )
& ( 5 = b(X103) ) )
& ! [X50: $int,X51: $int,X52: $int] :
~ ( ( 2 = b(X51) )
& ( X50 != X52 )
& ( 10 = a(X51) )
& $less(b(X50),4)
& ( X50 != X51 )
& ( 2 = a(X52) )
& ( 5 = b(X52) )
& $less(X51,X52)
& ( 7 = a(X50) )
& ( X51 != X52 ) )
& ! [X5: $int,X4: $int,X6: $int] :
~ ( ( 10 = a(X6) )
& ( 5 = a(X5) )
& ( 2 = b(X6) )
& ( X4 != X5 )
& ( X4 != X6 )
& $less(X6,X5)
& ( 7 = a(X4) )
& ( X5 != X6 )
& ( 5 = b(X5) ) )
& ! [X7: $int,X9: $int,X8: $int] :
~ ( $less(b(X8),3)
& $less(X8,X9)
& ( X8 != X9 )
& ( 8 = a(X7) )
& ( 10 = a(X8) )
& ( 6 = a(X9) )
& ( X7 != X8 )
& ( X7 != X9 ) )
& ( z1 != z2 )
& ( z3 != z5 )
& ! [X162: $int,X161: $int,X163: $int] :
~ ( $less(X161,X163)
& ( 1 = a(X163) )
& $less(b(X162),4)
& ( 2 = b(X161) )
& ( 7 = a(X162) )
& ( 5 = b(X163) )
& ( X162 != X163 )
& ( X161 != X163 )
& ( X161 != X162 )
& ( 10 = a(X161) ) )
& ! [X121: $int,X122: $int,X120: $int] :
~ ( ( 6 = a(X120) )
& ( 5 = b(X121) )
& ( X121 != X122 )
& ( 2 = b(X122) )
& $less(X122,X121)
& ( 10 = a(X122) )
& ( X120 != X121 )
& ( X120 != X122 )
& ( 1 = a(X121) ) )
& ! [X48: $int,X49: $int,X47: $int] :
~ ( ( X47 != X49 )
& ( 8 = a(X47) )
& $less(b(X47),4)
& $less(X49,X48)
& ( 2 = a(X48) )
& ( 2 = b(X49) )
& ( X48 != X49 )
& ( X47 != X48 )
& ( 10 = a(X49) ) )
& ! [X92: $int,X93: $int,X94: $int,X91: $int] :
~ ( ( 10 = a(X93) )
& ( 7 = a(X92) )
& ( 12 = a(X94) )
& ( 2 = b(X92) )
& $less(X93,X94)
& ( 5 = b(X91) )
& ( X93 != X94 )
& ( X91 != X92 )
& ( X92 != X94 )
& $less(b(X93),3)
& ( X91 != X94 )
& ( X92 != X93 )
& ( X91 != X93 ) )
& ! [X100: $int,X98: $int,X99: $int] :
~ ( ( 10 = a(X99) )
& $less(b(X99),3)
& ( 7 = a(X98) )
& ( 5 = b(X100) )
& ( X99 != X100 )
& $less(X99,X98)
& ( X98 != X100 )
& ( X98 != X99 ) )
& ! [X186: $int,X187: $int,X188: $int] :
~ ( ( X187 != X188 )
& ( 2 = b(X188) )
& $less(X187,X186)
& ( X186 != X187 )
& $less(b(X187),3)
& ( X186 != X188 )
& ( 12 = a(X186) )
& ( 8 = a(X188) )
& ( 10 = a(X187) ) )
& ! [X12: $int,X13: $int,X10: $int,X11: $int] :
~ ( ( X11 != X13 )
& ( X10 != X12 )
& ( 10 = a(X11) )
& ( 8 = a(X12) )
& ( X10 != X13 )
& ( 2 = b(X10) )
& $less(X11,X13)
& ( X11 != X12 )
& ( X12 != X13 )
& ( X10 != X11 )
& $less(b(X11),3)
& ( 5 = a(X13) ) )
& ( z2 != z3 )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( a(X0) = 5 )
& ( 10 = a(X3) )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( X0 != X3 )
& $less(b(X3),3)
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X1 != X3 )
& $less(X3,X0) )
& ! [X134: $int,X132: $int,X133: $int] :
~ ( ( X133 != X134 )
& $less(b(X134),3)
& ( X132 != X133 )
& ( X132 != X134 )
& ( 10 = a(X134) )
& ( 7 = a(X132) )
& ( 7 = a(X133) )
& ( 5 = b(X133) )
& $less(X134,X133) )
& ! [X67: $int,X66: $int,X68: $int] :
~ ( ( X67 != X68 )
& ( 10 = a(X66) )
& ( X66 != X68 )
& ( 2 = b(X66) )
& $less(X66,X67)
& ( 8 = a(X68) )
& ( X66 != X67 )
& ( 4 = a(X67) ) )
& ( z4 != z5 )
& ! [X145: $int,X146: $int,X147: $int] :
~ ( ( 5 = a(X145) )
& ( 2 = b(X147) )
& ( 5 = b(X146) )
& ( 10 = a(X147) )
& ( X146 != X147 )
& ( X145 != X147 )
& ( X145 != X146 )
& ( 6 = a(X146) )
& $less(X147,X146) )
& ! [X206: $int,X207: $int,X205: $int,X204: $int] :
~ ( ( 10 = a(X206) )
& ( 5 = b(X204) )
& ( 2 = b(X205) )
& ( X204 != X207 )
& $less(b(X206),3)
& ( X206 != X207 )
& $less(X206,X204)
& ( 7 = a(X204) )
& ( X205 != X207 )
& ( X204 != X205 )
& ( 5 = a(X207) )
& ( X204 != X206 )
& ( X205 != X206 ) )
& ! [X229: $int] :
( ~ $less(12,a(X229))
& ~ $less(a(X229),1) )
& ! [X85: $int,X87: $int,X86: $int] :
~ ( ( X86 != X87 )
& ( 5 = b(X85) )
& ( 4 = a(X87) )
& ( 10 = a(X86) )
& ( 12 = a(X85) )
& ( X85 != X86 )
& ( 2 = b(X86) )
& ( X85 != X87 )
& $less(X86,X85) )
& ! [X152: $int,X151: $int,X153: $int] :
~ ( ( 10 = a(X151) )
& ( X152 != X153 )
& $less(X151,X152)
& ( X151 != X153 )
& ( 12 = a(X152) )
& ( 8 = a(X153) )
& $less(b(X153),4)
& ( 2 = b(X151) )
& ( X151 != X152 ) )
& ( z1 != z4 )
& ( z3 != z4 )
& ! [X14: $int,X15: $int] :
~ ( ( 10 = a(X14) )
& ( X14 != X15 )
& ( 10 = a(X15) ) )
& ! [X140: $int,X139: $int,X141: $int] :
~ ( ( 5 = b(X141) )
& ( X139 != X140 )
& ( X139 != X141 )
& $less(X140,X141)
& ( 6 = a(X139) )
& ( 2 = b(X140) )
& ( 10 = a(X140) )
& ( X140 != X141 )
& ( 4 = a(X141) ) )
& ! [X116: $int,X115: $int,X114: $int] :
~ ( ( 10 = a(X116) )
& ( 7 = a(X115) )
& ( 5 = b(X114) )
& ( X114 != X115 )
& ( 6 = a(X114) )
& ( X114 != X116 )
& ( X115 != X116 )
& $less(b(X116),3)
& $less(X116,X114) )
& ( z1 != z3 )
& ! [X62: $int,X65: $int,X64: $int,X63: $int] :
~ ( ( 2 = a(X62) )
& ( 7 = a(X63) )
& ( 5 = b(X65) )
& ( X63 != X64 )
& ( 10 = a(X64) )
& $less(b(X64),3)
& $less(X64,X62)
& ( X62 != X65 )
& ( X63 != X65 )
& ( X62 != X64 )
& ( X62 != X63 )
& ( 2 = b(X63) )
& ( X64 != X65 ) )
& ! [X191: $int,X189: $int,X190: $int] :
~ ( ( X189 != X191 )
& ( X189 != X190 )
& $less(X190,X189)
& ( 6 = a(X191) )
& ( 10 = a(X190) )
& ( 5 = a(X189) )
& ( 5 = b(X189) )
& ( X190 != X191 )
& ( 2 = b(X190) ) )
& ! [X16: $int,X17: $int,X18: $int] :
~ ( ( X16 != X18 )
& ( 8 = a(X18) )
& ( X16 != X17 )
& $less(X16,X17)
& ( X17 != X18 )
& ( 10 = a(X16) )
& ( 4 = a(X17) )
& ( 2 = b(X18) )
& $less(b(X16),3) )
& ! [X21: $int,X20: $int,X19: $int] :
~ ( $less(b(X19),3)
& ( 10 = a(X19) )
& ( 6 = a(X20) )
& ( 7 = a(X21) )
& ( X20 != X21 )
& ( X19 != X20 )
& $less(X19,X21)
& ( X19 != X21 )
& ( 5 = b(X21) ) )
& ! [X170: $int,X168: $int,X169: $int] :
~ ( ( 10 = a(X169) )
& ( 2 = b(X170) )
& ( 8 = a(X170) )
& ( X168 != X169 )
& ( X169 != X170 )
& ( X168 != X170 )
& $less(X169,X168)
& $less(b(X169),3)
& ( 5 = a(X168) ) )
& ! [X218: $int,X219: $int,X217: $int] :
~ ( ( 2 = b(X217) )
& ( X218 != X219 )
& ( 10 = a(X217) )
& ( 5 = b(X219) )
& ( 4 = a(X218) )
& ( X217 != X218 )
& ( 7 = a(X219) )
& ( X217 != X219 )
& $less(X217,X219) )
& ! [X230: $int,X232: $int,X231: $int] :
~ ( ( 10 = a(X232) )
& ( X230 != X232 )
& $less(X232,X230)
& ( 5 = b(X230) )
& ( 5 = a(X230) )
& ( X231 != X232 )
& ( 2 = b(X232) )
& ( 4 = a(X231) )
& ( X230 != X231 ) )
& ! [X29: $int,X32: $int,X30: $int,X31: $int] :
~ ( ( X30 != X32 )
& ( 7 = a(X30) )
& ( 10 = a(X29) )
& ( X30 != X31 )
& $less(b(X31),4)
& ( X29 != X31 )
& $less(b(X29),3)
& ( 3 = a(X31) )
& ( 2 = b(X30) )
& ( 5 = b(X32) )
& ( X29 != X32 )
& ( X29 != X30 )
& ( X31 != X32 )
& $less(X29,X31) )
& ! [X178: $int,X177: $int,X176: $int,X175: $int] :
~ ( $less(b(X177),4)
& ( X176 != X177 )
& ( X175 != X176 )
& ( X175 != X177 )
& ( 2 = b(X178) )
& ( 3 = a(X177) )
& $less(X178,X177)
& ( X175 != X178 )
& ( 10 = a(X178) )
& ( 7 = a(X175) )
& ( X176 != X178 )
& ( 5 = b(X176) )
& $less(b(X175),4)
& ( X177 != X178 ) )
& ! [X75: $int,X77: $int,X76: $int] :
~ ( $less(b(X76),3)
& ( X75 != X76 )
& ( X75 != X77 )
& $less(X76,X75)
& ( 2 = b(X77) )
& ( 10 = a(X76) )
& ( X76 != X77 )
& ( 5 = a(X75) )
& ( 6 = a(X77) )
& ( 5 = b(X75) ) )
& ! [X203: $int,X202: $int,X201: $int] :
~ ( ( 10 = a(X202) )
& ( X202 != X203 )
& ( 5 = b(X203) )
& $less(X202,X203)
& ( X201 != X202 )
& ( X201 != X203 )
& ( 2 = b(X202) )
& ( 2 = a(X203) )
& ( 4 = a(X201) ) )
& ! [X109: $int,X108: $int,X107: $int,X110: $int] :
~ ( ( X109 != X110 )
& ( 5 = b(X109) )
& ( X107 != X110 )
& ( 2 = b(X107) )
& ( X107 != X108 )
& $less(b(X108),4)
& $less(X107,X110)
& ( X108 != X110 )
& ( X108 != X109 )
& ( X107 != X109 )
& ( 7 = a(X108) )
& ( 10 = a(X107) )
& ( 2 = a(X110) ) )
& ! [X183: $int,X185: $int,X184: $int] :
~ ( ( 5 = b(X185) )
& $less(X183,X184)
& ( 4 = a(X184) )
& ( X183 != X185 )
& ( X184 != X185 )
& ( X183 != X184 )
& ( 10 = a(X183) )
& ( 2 = b(X183) ) )
& ! [X194: $int,X192: $int,X193: $int] :
~ ( ( 7 = a(X193) )
& ( 2 = b(X193) )
& $less(b(X192),3)
& ( 10 = a(X192) )
& ( X192 != X194 )
& ( 5 = b(X194) )
& ( 2 = a(X194) )
& ( X192 != X193 )
& ( X193 != X194 )
& $less(X192,X194) )
& ! [X73: $int,X72: $int,X74: $int] :
~ ( ( 2 = a(X74) )
& ( X73 != X74 )
& $less(X72,X74)
& ( 10 = a(X72) )
& ( 2 = b(X72) )
& ( 5 = b(X74) )
& ( 6 = a(X73) )
& ( X72 != X73 )
& ( X72 != X74 ) )
& ! [X69: $int,X71: $int,X70: $int] :
~ ( ( X70 != X71 )
& ( 2 = b(X70) )
& ( 10 = a(X70) )
& ( X69 != X70 )
& ( 8 = a(X69) )
& $less(X70,X71)
& ( 5 = a(X71) )
& ( X69 != X71 ) )
& ! [X150: $int,X149: $int,X148: $int] :
~ ( ( 4 = a(X149) )
& ( X149 != X150 )
& ( 10 = a(X150) )
& ( 5 = b(X148) )
& ( X148 != X150 )
& ( 2 = b(X150) )
& ( X148 != X149 )
& ( 6 = a(X148) )
& $less(X150,X148) )
& ! [X224: $int,X223: $int,X225: $int,X222: $int] :
~ ( ( X222 != X223 )
& ( X223 != X224 )
& ( X222 != X224 )
& ( 10 = a(X223) )
& ( 5 = a(X222) )
& $less(b(X223),3)
& ( X224 != X225 )
& ( X222 != X225 )
& ( 6 = a(X225) )
& $less(X223,X225)
& ( X223 != X225 )
& ( 2 = b(X224) )
& ( 5 = b(X225) ) )
& ! [X127: $int,X128: $int,X126: $int] :
~ ( ( X126 != X128 )
& ( 5 = b(X126) )
& $less(X127,X126)
& ( 10 = a(X127) )
& ( X127 != X128 )
& ( 7 = a(X128) )
& ( 2 = b(X128) )
& ( 1 = a(X126) )
& ( X126 != X127 )
& $less(b(X127),3) )
& ! [X113: $int,X112: $int,X111: $int] :
~ ( ( 4 = a(X113) )
& ( 4 = a(X111) )
& ( 5 = b(X113) )
& ( X111 != X113 )
& $less(X112,X113)
& ( X112 != X113 )
& ( X111 != X112 )
& ( 2 = b(X112) )
& ( 10 = a(X112) ) )
& ! [X44: $int,X45: $int,X43: $int,X46: $int] :
~ ( ( X43 != X45 )
& ( 2 = b(X46) )
& ( X44 != X45 )
& ( X43 != X46 )
& ( X43 != X44 )
& $less(b(X44),3)
& $less(X44,X43)
& ( 5 = b(X45) )
& ( X45 != X46 )
& ( 10 = a(X44) )
& ( 4 = a(X43) )
& ( X44 != X46 ) )
& ! [X53: $int,X54: $int,X55: $int] :
~ ( ( 5 = b(X54) )
& ( 10 = a(X55) )
& ( 5 = a(X53) )
& ( X53 != X55 )
& ( X53 != X54 )
& ( 4 = a(X54) )
& $less(X55,X54)
& ( 2 = b(X55) )
& ( X54 != X55 ) )
& ! [X125: $int,X124: $int,X123: $int] :
~ ( ( X123 != X124 )
& ( X124 != X125 )
& $less(X124,X125)
& ( 5 = a(X125) )
& ( 2 = b(X123) )
& $less(b(X124),3)
& ( X123 != X125 )
& ( 5 = b(X125) )
& ( 7 = a(X123) )
& ( 10 = a(X124) ) )
& ! [X119: $int,X118: $int,X117: $int] :
~ ( $less(X119,X117)
& ( X117 != X118 )
& ( 2 = b(X119) )
& ( X118 != X119 )
& ( 5 = b(X117) )
& ( 5 = a(X118) )
& ( 10 = a(X119) )
& ( 12 = a(X117) )
& ( X117 != X119 ) )
& ! [X129: $int,X130: $int,X131: $int] :
~ ( ( 12 = a(X131) )
& $less(X129,X131)
& ( 2 = b(X129) )
& ( 7 = a(X130) )
& ( 10 = a(X129) )
& ( X129 != X130 )
& ( X129 != X131 )
& ( 5 = b(X131) )
& $less(b(X130),4)
& ( X130 != X131 ) )
& ! [X156: $int,X155: $int,X154: $int] :
~ ( ( 5 = a(X155) )
& ( 1 = a(X154) )
& ( X155 != X156 )
& ( X154 != X155 )
& ( 10 = a(X156) )
& $less(X156,X154)
& ( X154 != X156 )
& ( 2 = b(X156) )
& ( 5 = b(X154) ) ) )
=> ~ ( $less(b(z2),3)
& ( b(z1) = 5 )
& ( a(z4) = 7 )
& ( a(z1) = 5 )
& $less(z2,z1)
& ( b(z4) = 2 )
& ( b(z3) = 5 )
& ( a(z2) = 10 ) ) ),
inference(true_and_false_elimination,[],[f4]) ).
tff(f6,plain,
( $less(b(z2),3)
& ( b(z1) = 5 )
& ( a(z4) = 7 )
& ( a(z1) = 5 )
& $less(z2,z1)
& ( b(z4) = 2 )
& ( b(z3) = 5 )
& ( a(z2) = 10 )
& ! [X79: $int,X78: $int,X80: $int] :
( ( X78 = X80 )
| ( 2 != b(X80) )
| ( 12 != a(X79) )
| ( 5 != b(X79) )
| ( X79 = X80 )
| ( 10 != a(X80) )
| ( 6 != a(X78) )
| ( X78 = X79 )
| ~ $less(X80,X79) )
& ! [X144: $int,X143: $int,X142: $int] :
( ( X143 = X144 )
| ~ $less(b(X143),3)
| ( X142 = X144 )
| ( X142 = X143 )
| ( 10 != a(X143) )
| ( 2 != b(X142) )
| ( 4 != a(X144) )
| ( 5 != b(X144) )
| ( 7 != a(X142) )
| ~ $less(X143,X144) )
& ! [X38: $int,X36: $int,X37: $int,X39: $int] :
( ( 7 != a(X37) )
| ( 2 != b(X36) )
| ~ $less(b(X37),4)
| ( X37 = X39 )
| ( 1 != a(X38) )
| ( X36 = X39 )
| ( 5 != b(X39) )
| ~ $less(X36,X38)
| ( 10 != a(X36) )
| ( X36 = X38 )
| ( X38 = X39 )
| ( X37 = X38 )
| ( X36 = X37 ) )
& ! [X28: $int,X26: $int,X27: $int] :
( ( 7 != a(X26) )
| ( X27 = X28 )
| ( 12 != a(X27) )
| ~ $less(X28,X27)
| ( 2 != b(X26) )
| ( 10 != a(X28) )
| ( X26 = X27 )
| ( X26 = X28 )
| ~ $less(b(X28),3)
| ( 5 != b(X27) ) )
& ! [X171: $int,X174: $int,X172: $int,X173: $int] :
( ( X172 = X174 )
| ( X171 = X174 )
| ( X171 = X172 )
| ~ $less(X171,X174)
| ( X173 = X174 )
| ( 5 != b(X174) )
| ( 10 != a(X171) )
| ~ $less(b(X171),3)
| ( 5 != a(X174) )
| ( 2 != b(X172) )
| ( 6 != a(X173) )
| ( X172 = X173 )
| ( X171 = X173 ) )
& ! [X56: $int,X57: $int,X58: $int] :
( ( 5 != b(X58) )
| ( 10 != a(X57) )
| ~ $less(X57,X56)
| ( X56 = X57 )
| ( X56 = X58 )
| ( 6 != a(X56) )
| ~ $less(b(X57),3)
| ( X57 = X58 ) )
& ! [X34: $int,X35: $int,X33: $int] :
( ( X33 = X35 )
| ( 10 != a(X35) )
| ( 1 != a(X33) )
| ( X33 = X34 )
| ~ $less(X35,X33)
| ( 2 != b(X34) )
| ( X34 = X35 )
| ( 8 != a(X34) )
| ~ $less(b(X35),3) )
& ! [X197: $int,X196: $int,X195: $int] :
( ( X195 = X197 )
| ~ $less(X196,X195)
| ( X195 = X196 )
| ( 2 != a(X195) )
| ( 5 != b(X195) )
| ( X196 = X197 )
| ( 10 != a(X196) )
| ( 5 != a(X197) )
| ( 2 != b(X196) ) )
& ! [X226: $int,X228: $int,X227: $int] :
( ( 10 != a(X227) )
| ~ $less(X227,X228)
| ~ $less(b(X226),4)
| ( 8 != a(X226) )
| ( 1 != a(X228) )
| ( X226 = X227 )
| ( X226 = X228 )
| ( 2 != b(X227) )
| ( X227 = X228 ) )
& ! [X104: $int,X106: $int,X105: $int] :
( ( X104 = X106 )
| ( 2 != b(X105) )
| ~ $less(b(X104),3)
| ( X104 = X105 )
| ( X105 = X106 )
| ( 2 != a(X106) )
| ( 8 != a(X105) )
| ( 10 != a(X104) )
| ~ $less(X104,X106) )
& ! [X167: $int,X164: $int,X165: $int,X166: $int] :
( ~ $less(b(X166),3)
| ( X164 = X165 )
| ( 5 != b(X167) )
| ( X165 = X166 )
| ( 10 != a(X166) )
| ( X166 = X167 )
| ( X164 = X166 )
| ( X164 = X167 )
| ( 5 != a(X164) )
| ( 2 != a(X165) )
| ( X165 = X167 )
| ~ $less(X166,X164) )
& ! [X216: $int] :
( ~ $less(5,b(X216))
& ~ $less(b(X216),1) )
& ! [X233: $int,X234: $int,X235: $int] :
( ~ $less(X233,X235)
| ( X234 = X235 )
| ( 10 != a(X233) )
| ( 5 != a(X234) )
| ( 5 != b(X235) )
| ( X233 = X234 )
| ( 2 != b(X233) )
| ( 7 != a(X235) )
| ( X233 = X235 ) )
& ! [X88: $int,X89: $int,X90: $int] :
( ( X89 = X90 )
| ( 10 != a(X88) )
| ~ $less(b(X88),3)
| ( 5 != b(X90) )
| ( X88 = X90 )
| ~ $less(X88,X90)
| ( 6 != a(X90) )
| ( X88 = X89 )
| ( 6 != a(X89) ) )
& ! [X42: $int,X41: $int,X40: $int] :
( ( 2 != b(X41) )
| ~ $less(X41,X40)
| ( 5 != a(X40) )
| ( X40 = X42 )
| ( 5 != b(X42) )
| ( X41 = X42 )
| ( 10 != a(X41) )
| ( X40 = X41 ) )
& ! [X221: $int,X220: $int] :
( ( 9 != a(X220) )
| ( 10 != a(X221) )
| ( X220 = X221 )
| ~ $less(X221,X220)
| ~ $less(b(X221),3) )
& ! [X181: $int,X180: $int,X182: $int,X179: $int] :
( ( 2 != b(X180) )
| ( X179 = X182 )
| ~ $less(b(X179),3)
| ( 5 != b(X182) )
| ~ $less(X179,X181)
| ( X179 = X181 )
| ( X180 = X181 )
| ( X180 = X182 )
| ( 10 != a(X179) )
| ( X181 = X182 )
| ( X179 = X180 )
| ( 5 != a(X181) ) )
& ! [X96: $int,X95: $int,X97: $int] :
( ( X95 = X97 )
| ( X95 = X96 )
| ( 10 != a(X97) )
| ( X96 = X97 )
| ( 3 != a(X96) )
| ~ $less(b(X97),3)
| ~ $less(X97,X96)
| ( 2 != b(X95) )
| ~ $less(b(X96),4)
| ( 8 != a(X95) ) )
& ! [X157: $int,X159: $int,X158: $int,X160: $int] :
( ( X157 = X159 )
| ( X157 = X158 )
| ( X157 = X160 )
| ( 10 != a(X159) )
| ~ $less(b(X159),3)
| ( X158 = X160 )
| ( 5 != a(X157) )
| ~ $less(X159,X160)
| ( 5 != b(X160) )
| ( X159 = X160 )
| ( 2 != b(X158) )
| ( X158 = X159 )
| ( 5 != a(X160) )
| ( 2 != b(X157) ) )
& ! [X215: $int,X213: $int,X214: $int] :
( ~ $less(b(X213),3)
| ~ $less(X213,X214)
| ( 7 != a(X214) )
| ( X214 = X215 )
| ( X213 = X215 )
| ( X213 = X214 )
| ( 10 != a(X213) )
| ( 8 != a(X215) ) )
& ! [X208: $int,X209: $int] :
( ~ $less(X209,X208)
| ( 8 != a(X208) )
| ~ $less(b(X209),3)
| ( X208 = X209 )
| ( 10 != a(X209) ) )
& ( z2 != z5 )
& ! [X22: $int,X24: $int,X25: $int,X23: $int] :
( ( X22 = X24 )
| ~ $less(b(X23),4)
| ( X23 = X25 )
| ( X22 = X23 )
| ( 5 != b(X25) )
| ( 7 != a(X23) )
| ( 10 != a(X24) )
| ( X23 = X24 )
| ( 12 != a(X22) )
| ( 2 != b(X24) )
| ( X22 = X25 )
| ( X24 = X25 )
| ~ $less(X24,X22) )
& ( z2 != z4 )
& ( z1 != z5 )
& ! [X200: $int,X199: $int,X198: $int] :
( ( X198 = X199 )
| ( 8 != a(X199) )
| ~ $less(b(X198),4)
| ( 2 != b(X200) )
| ( 10 != a(X200) )
| ( X198 = X200 )
| ~ $less(b(X199),4)
| ( X199 = X200 )
| ~ $less(X200,X198)
| ( 3 != a(X198) ) )
& ! [X60: $int,X59: $int,X61: $int] :
( ( 2 != b(X61) )
| ( 5 != b(X59) )
| ( X59 = X61 )
| ( 10 != a(X61) )
| ~ $less(X61,X59)
| ( 4 != a(X60) )
| ( 1 != a(X59) )
| ( X59 = X60 )
| ( X60 = X61 ) )
& ! [X136: $int,X137: $int,X135: $int,X138: $int] :
( ( X135 = X137 )
| ( X137 = X138 )
| ( X136 = X138 )
| ~ $less(b(X135),3)
| ~ $less(X135,X136)
| ( X135 = X136 )
| ( 2 != b(X137) )
| ( 7 != a(X137) )
| ( 10 != a(X135) )
| ( 4 != a(X136) )
| ( X136 = X137 )
| ( X135 = X138 )
| ( 5 != b(X138) ) )
& ! [X211: $int,X210: $int,X212: $int] :
( ( 5 != a(X210) )
| ( 5 != b(X210) )
| ( X211 = X212 )
| ( 10 != a(X212) )
| ( X210 = X211 )
| ( X210 = X212 )
| ~ $less(X212,X210)
| ( 2 != b(X212) )
| ( 5 != a(X211) ) )
& ! [X82: $int,X81: $int,X84: $int,X83: $int] :
( ( X81 = X84 )
| ~ $less(b(X84),3)
| ( 10 != a(X84) )
| ( 7 != a(X82) )
| ( X82 = X84 )
| ~ $less(X84,X83)
| ( X81 = X82 )
| ( X82 = X83 )
| ( 2 != b(X82) )
| ( 1 != a(X83) )
| ( X81 = X83 )
| ( 5 != b(X81) )
| ( X83 = X84 ) )
& ! [X102: $int,X101: $int,X103: $int] :
( ( X102 = X103 )
| ( 10 != a(X102) )
| ( X101 = X102 )
| ( X101 = X103 )
| ( 4 != a(X103) )
| ( 7 != a(X101) )
| ~ $less(X102,X103)
| ( 5 != b(X103) )
| ( 2 != b(X102) ) )
& ! [X50: $int,X52: $int,X51: $int] :
( ( 10 != a(X51) )
| ( 2 != a(X52) )
| ~ $less(b(X50),4)
| ~ $less(X51,X52)
| ( X51 = X52 )
| ( 2 != b(X51) )
| ( 5 != b(X52) )
| ( X50 = X52 )
| ( 7 != a(X50) )
| ( X50 = X51 ) )
& ! [X5: $int,X6: $int,X4: $int] :
( ( 7 != a(X4) )
| ~ $less(X6,X5)
| ( X4 = X6 )
| ( 5 != a(X5) )
| ( 10 != a(X6) )
| ( X5 = X6 )
| ( 2 != b(X6) )
| ( 5 != b(X5) )
| ( X4 = X5 ) )
& ! [X8: $int,X7: $int,X9: $int] :
( ( 6 != a(X9) )
| ~ $less(b(X8),3)
| ( X7 = X9 )
| ~ $less(X8,X9)
| ( X8 = X9 )
| ( X7 = X8 )
| ( 10 != a(X8) )
| ( 8 != a(X7) ) )
& ( z1 != z2 )
& ( z3 != z5 )
& ! [X162: $int,X161: $int,X163: $int] :
( ( 5 != b(X163) )
| ( 2 != b(X161) )
| ~ $less(b(X162),4)
| ( X161 = X162 )
| ( X161 = X163 )
| ~ $less(X161,X163)
| ( 7 != a(X162) )
| ( 10 != a(X161) )
| ( 1 != a(X163) )
| ( X162 = X163 ) )
& ! [X120: $int,X122: $int,X121: $int] :
( ~ $less(X122,X121)
| ( 1 != a(X121) )
| ( X120 = X122 )
| ( 5 != b(X121) )
| ( 2 != b(X122) )
| ( X121 = X122 )
| ( 6 != a(X120) )
| ( 10 != a(X122) )
| ( X120 = X121 ) )
& ! [X49: $int,X47: $int,X48: $int] :
( ( X47 = X49 )
| ( 2 != b(X49) )
| ( 2 != a(X48) )
| ( 8 != a(X47) )
| ( 10 != a(X49) )
| ( X48 = X49 )
| ( X47 = X48 )
| ~ $less(b(X47),4)
| ~ $less(X49,X48) )
& ! [X94: $int,X93: $int,X91: $int,X92: $int] :
( ( 5 != b(X91) )
| ~ $less(X93,X94)
| ( X91 = X93 )
| ( 10 != a(X93) )
| ( X93 = X94 )
| ( X92 = X93 )
| ( 7 != a(X92) )
| ( 2 != b(X92) )
| ( X91 = X92 )
| ( X91 = X94 )
| ( 12 != a(X94) )
| ( X92 = X94 )
| ~ $less(b(X93),3) )
& ! [X99: $int,X98: $int,X100: $int] :
( ~ $less(b(X99),3)
| ( 7 != a(X98) )
| ( 5 != b(X100) )
| ( X98 = X100 )
| ( X98 = X99 )
| ~ $less(X99,X98)
| ( X99 = X100 )
| ( 10 != a(X99) ) )
& ! [X188: $int,X186: $int,X187: $int] :
( ( 8 != a(X188) )
| ~ $less(X187,X186)
| ( X187 = X188 )
| ( 2 != b(X188) )
| ( X186 = X188 )
| ( 10 != a(X187) )
| ( X186 = X187 )
| ~ $less(b(X187),3)
| ( 12 != a(X186) ) )
& ! [X11: $int,X12: $int,X10: $int,X13: $int] :
( ( 2 != b(X10) )
| ( 5 != a(X13) )
| ( 8 != a(X12) )
| ( X10 = X12 )
| ( X10 = X13 )
| ~ $less(X11,X13)
| ( X10 = X11 )
| ( X12 = X13 )
| ( X11 = X13 )
| ( X11 = X12 )
| ~ $less(b(X11),3)
| ( 10 != a(X11) ) )
& ( z2 != z3 )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
( ( b(X0) != 5 )
| ~ $less(b(X3),3)
| ( X0 = X1 )
| ~ $less(X3,X0)
| ( X0 = X2 )
| ( X0 = X3 )
| ( X1 = X2 )
| ( X1 = X3 )
| ( X2 = X3 )
| ( a(X0) != 5 )
| ( 7 != a(X2) )
| ( b(X1) != 2 )
| ( 10 != a(X3) ) )
& ! [X133: $int,X132: $int,X134: $int] :
( ( 5 != b(X133) )
| ( 7 != a(X132) )
| ( X132 = X134 )
| ~ $less(b(X134),3)
| ( X132 = X133 )
| ( 10 != a(X134) )
| ~ $less(X134,X133)
| ( X133 = X134 )
| ( 7 != a(X133) ) )
& ! [X66: $int,X68: $int,X67: $int] :
( ( 2 != b(X66) )
| ( X66 = X67 )
| ( X67 = X68 )
| ~ $less(X66,X67)
| ( X66 = X68 )
| ( 4 != a(X67) )
| ( 8 != a(X68) )
| ( 10 != a(X66) ) )
& ( z4 != z5 )
& ! [X146: $int,X145: $int,X147: $int] :
( ( 5 != a(X145) )
| ( 6 != a(X146) )
| ( 5 != b(X146) )
| ( X146 = X147 )
| ( 2 != b(X147) )
| ( X145 = X147 )
| ~ $less(X147,X146)
| ( X145 = X146 )
| ( 10 != a(X147) ) )
& ! [X207: $int,X205: $int,X206: $int,X204: $int] :
( ~ $less(b(X206),3)
| ( X205 = X207 )
| ( X206 = X207 )
| ( 2 != b(X205) )
| ( 5 != a(X207) )
| ( 7 != a(X204) )
| ( X204 = X205 )
| ( X204 = X206 )
| ( 5 != b(X204) )
| ( X204 = X207 )
| ~ $less(X206,X204)
| ( 10 != a(X206) )
| ( X205 = X206 ) )
& ! [X229: $int] :
( ~ $less(12,a(X229))
& ~ $less(a(X229),1) )
& ! [X85: $int,X87: $int,X86: $int] :
( ( 4 != a(X87) )
| ( 5 != b(X85) )
| ( X86 = X87 )
| ( X85 = X86 )
| ( X85 = X87 )
| ~ $less(X86,X85)
| ( 2 != b(X86) )
| ( 12 != a(X85) )
| ( 10 != a(X86) ) )
& ! [X152: $int,X151: $int,X153: $int] :
( ( 10 != a(X151) )
| ( X151 = X153 )
| ( X151 = X152 )
| ( 8 != a(X153) )
| ( 12 != a(X152) )
| ~ $less(X151,X152)
| ~ $less(b(X153),4)
| ( X152 = X153 )
| ( 2 != b(X151) ) )
& ( z1 != z4 )
& ( z3 != z4 )
& ! [X15: $int,X14: $int] :
( ( X14 = X15 )
| ( 10 != a(X15) )
| ( 10 != a(X14) ) )
& ! [X141: $int,X139: $int,X140: $int] :
( ( 2 != b(X140) )
| ( 4 != a(X141) )
| ( 5 != b(X141) )
| ( X139 = X141 )
| ( 10 != a(X140) )
| ( X140 = X141 )
| ~ $less(X140,X141)
| ( X139 = X140 )
| ( 6 != a(X139) ) )
& ! [X116: $int,X114: $int,X115: $int] :
( ( X114 = X116 )
| ~ $less(b(X116),3)
| ( 5 != b(X114) )
| ( X115 = X116 )
| ( 6 != a(X114) )
| ( 7 != a(X115) )
| ( 10 != a(X116) )
| ( X114 = X115 )
| ~ $less(X116,X114) )
& ( z1 != z3 )
& ! [X65: $int,X63: $int,X62: $int,X64: $int] :
( ( 10 != a(X64) )
| ( X63 = X65 )
| ( X64 = X65 )
| ( 2 != b(X63) )
| ~ $less(X64,X62)
| ( 2 != a(X62) )
| ( 7 != a(X63) )
| ( X62 = X65 )
| ( X62 = X63 )
| ( X62 = X64 )
| ( 5 != b(X65) )
| ~ $less(b(X64),3)
| ( X63 = X64 ) )
& ! [X189: $int,X191: $int,X190: $int] :
( ~ $less(X190,X189)
| ( 2 != b(X190) )
| ( X189 = X190 )
| ( 6 != a(X191) )
| ( 5 != b(X189) )
| ( X189 = X191 )
| ( X190 = X191 )
| ( 5 != a(X189) )
| ( 10 != a(X190) ) )
& ! [X18: $int,X17: $int,X16: $int] :
( ~ $less(b(X16),3)
| ( X17 = X18 )
| ( 2 != b(X18) )
| ( X16 = X17 )
| ~ $less(X16,X17)
| ( 10 != a(X16) )
| ( X16 = X18 )
| ( 4 != a(X17) )
| ( 8 != a(X18) ) )
& ! [X19: $int,X20: $int,X21: $int] :
( ( 5 != b(X21) )
| ( X19 = X21 )
| ~ $less(b(X19),3)
| ~ $less(X19,X21)
| ( 7 != a(X21) )
| ( 6 != a(X20) )
| ( X20 = X21 )
| ( X19 = X20 )
| ( 10 != a(X19) ) )
& ! [X169: $int,X168: $int,X170: $int] :
( ( X168 = X170 )
| ~ $less(X169,X168)
| ( 8 != a(X170) )
| ( X169 = X170 )
| ( 2 != b(X170) )
| ~ $less(b(X169),3)
| ( X168 = X169 )
| ( 5 != a(X168) )
| ( 10 != a(X169) ) )
& ! [X217: $int,X219: $int,X218: $int] :
( ( X218 = X219 )
| ~ $less(X217,X219)
| ( X217 = X218 )
| ( X217 = X219 )
| ( 5 != b(X219) )
| ( 4 != a(X218) )
| ( 7 != a(X219) )
| ( 10 != a(X217) )
| ( 2 != b(X217) ) )
& ! [X230: $int,X232: $int,X231: $int] :
( ( X230 = X231 )
| ( 5 != b(X230) )
| ( 2 != b(X232) )
| ( X230 = X232 )
| ~ $less(X232,X230)
| ( X231 = X232 )
| ( 4 != a(X231) )
| ( 5 != a(X230) )
| ( 10 != a(X232) ) )
& ! [X29: $int,X32: $int,X30: $int,X31: $int] :
( ~ $less(b(X29),3)
| ( X29 = X31 )
| ( 3 != a(X31) )
| ( 7 != a(X30) )
| ( 2 != b(X30) )
| ~ $less(X29,X31)
| ( X31 = X32 )
| ( X30 = X31 )
| ( X29 = X30 )
| ( X29 = X32 )
| ( 10 != a(X29) )
| ~ $less(b(X31),4)
| ( X30 = X32 )
| ( 5 != b(X32) ) )
& ! [X176: $int,X175: $int,X178: $int,X177: $int] :
( ~ $less(b(X175),4)
| ( 10 != a(X178) )
| ~ $less(b(X177),4)
| ~ $less(X178,X177)
| ( X176 = X178 )
| ( X176 = X177 )
| ( X175 = X177 )
| ( 3 != a(X177) )
| ( 2 != b(X178) )
| ( 5 != b(X176) )
| ( 7 != a(X175) )
| ( X177 = X178 )
| ( X175 = X178 )
| ( X175 = X176 ) )
& ! [X77: $int,X75: $int,X76: $int] :
( ( X75 = X77 )
| ( 5 != a(X75) )
| ~ $less(b(X76),3)
| ( 10 != a(X76) )
| ( 2 != b(X77) )
| ( 5 != b(X75) )
| ( X75 = X76 )
| ( X76 = X77 )
| ~ $less(X76,X75)
| ( 6 != a(X77) ) )
& ! [X201: $int,X203: $int,X202: $int] :
( ( X201 = X202 )
| ~ $less(X202,X203)
| ( 5 != b(X203) )
| ( 4 != a(X201) )
| ( 10 != a(X202) )
| ( 2 != a(X203) )
| ( X201 = X203 )
| ( 2 != b(X202) )
| ( X202 = X203 ) )
& ! [X110: $int,X109: $int,X107: $int,X108: $int] :
( ( 10 != a(X107) )
| ( X108 = X110 )
| ~ $less(b(X108),4)
| ( X107 = X110 )
| ( 5 != b(X109) )
| ~ $less(X107,X110)
| ( 7 != a(X108) )
| ( 2 != a(X110) )
| ( 2 != b(X107) )
| ( X108 = X109 )
| ( X107 = X108 )
| ( X107 = X109 )
| ( X109 = X110 ) )
& ! [X183: $int,X184: $int,X185: $int] :
( ~ $less(X183,X184)
| ( 5 != b(X185) )
| ( X184 = X185 )
| ( 4 != a(X184) )
| ( 2 != b(X183) )
| ( X183 = X184 )
| ( X183 = X185 )
| ( 10 != a(X183) ) )
& ! [X193: $int,X192: $int,X194: $int] :
( ~ $less(b(X192),3)
| ( 2 != a(X194) )
| ( 10 != a(X192) )
| ( 7 != a(X193) )
| ( X193 = X194 )
| ( X192 = X193 )
| ( 2 != b(X193) )
| ( X192 = X194 )
| ( 5 != b(X194) )
| ~ $less(X192,X194) )
& ! [X72: $int,X73: $int,X74: $int] :
( ( X72 = X74 )
| ( 10 != a(X72) )
| ( X72 = X73 )
| ( 2 != b(X72) )
| ( 5 != b(X74) )
| ( 2 != a(X74) )
| ( 6 != a(X73) )
| ( X73 = X74 )
| ~ $less(X72,X74) )
& ! [X69: $int,X71: $int,X70: $int] :
( ( 5 != a(X71) )
| ( X69 = X70 )
| ( X70 = X71 )
| ( 10 != a(X70) )
| ~ $less(X70,X71)
| ( X69 = X71 )
| ( 8 != a(X69) )
| ( 2 != b(X70) ) )
& ! [X148: $int,X149: $int,X150: $int] :
( ( 4 != a(X149) )
| ( X148 = X149 )
| ( X149 = X150 )
| ~ $less(X150,X148)
| ( 5 != b(X148) )
| ( 2 != b(X150) )
| ( 6 != a(X148) )
| ( 10 != a(X150) )
| ( X148 = X150 ) )
& ! [X225: $int,X222: $int,X223: $int,X224: $int] :
( ( X224 = X225 )
| ( X222 = X225 )
| ( 5 != b(X225) )
| ( X222 = X223 )
| ~ $less(b(X223),3)
| ( 2 != b(X224) )
| ( 5 != a(X222) )
| ( 6 != a(X225) )
| ( X223 = X224 )
| ( X222 = X224 )
| ( 10 != a(X223) )
| ( X223 = X225 )
| ~ $less(X223,X225) )
& ! [X128: $int,X127: $int,X126: $int] :
( ( 5 != b(X126) )
| ( X126 = X127 )
| ( X126 = X128 )
| ~ $less(X127,X126)
| ( 7 != a(X128) )
| ( 1 != a(X126) )
| ( 10 != a(X127) )
| ~ $less(b(X127),3)
| ( 2 != b(X128) )
| ( X127 = X128 ) )
& ! [X113: $int,X112: $int,X111: $int] :
( ( 10 != a(X112) )
| ( 4 != a(X113) )
| ( X111 = X113 )
| ( 2 != b(X112) )
| ( 5 != b(X113) )
| ( X112 = X113 )
| ~ $less(X112,X113)
| ( X111 = X112 )
| ( 4 != a(X111) ) )
& ! [X43: $int,X45: $int,X46: $int,X44: $int] :
( ( 10 != a(X44) )
| ( X45 = X46 )
| ( X43 = X46 )
| ( X43 = X45 )
| ( X44 = X45 )
| ( 2 != b(X46) )
| ~ $less(b(X44),3)
| ( 4 != a(X43) )
| ~ $less(X44,X43)
| ( 5 != b(X45) )
| ( X44 = X46 )
| ( X43 = X44 ) )
& ! [X54: $int,X53: $int,X55: $int] :
( ( X54 = X55 )
| ( 2 != b(X55) )
| ( 10 != a(X55) )
| ( X53 = X55 )
| ( 4 != a(X54) )
| ( 5 != b(X54) )
| ( 5 != a(X53) )
| ( X53 = X54 )
| ~ $less(X55,X54) )
& ! [X125: $int,X123: $int,X124: $int] :
( ~ $less(b(X124),3)
| ( 5 != b(X125) )
| ( 7 != a(X123) )
| ( X123 = X124 )
| ~ $less(X124,X125)
| ( X123 = X125 )
| ( 5 != a(X125) )
| ( X124 = X125 )
| ( 2 != b(X123) )
| ( 10 != a(X124) ) )
& ! [X117: $int,X119: $int,X118: $int] :
( ~ $less(X119,X117)
| ( X118 = X119 )
| ( 5 != b(X117) )
| ( 10 != a(X119) )
| ( 12 != a(X117) )
| ( X117 = X118 )
| ( 2 != b(X119) )
| ( X117 = X119 )
| ( 5 != a(X118) ) )
& ! [X131: $int,X129: $int,X130: $int] :
( ~ $less(X129,X131)
| ( X129 = X131 )
| ( 10 != a(X129) )
| ( X129 = X130 )
| ~ $less(b(X130),4)
| ( X130 = X131 )
| ( 2 != b(X129) )
| ( 7 != a(X130) )
| ( 5 != b(X131) )
| ( 12 != a(X131) ) )
& ! [X156: $int,X155: $int,X154: $int] :
( ( 5 != b(X154) )
| ( X154 = X156 )
| ( X155 = X156 )
| ( 2 != b(X156) )
| ( 5 != a(X155) )
| ( 1 != a(X154) )
| ~ $less(X156,X154)
| ( X154 = X155 )
| ( 10 != a(X156) ) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f7,plain,
( ! [X94: $int,X93: $int,X91: $int,X92: $int] :
( ( 5 != b(X91) )
| ~ $less(X93,X94)
| ( X91 = X93 )
| ( 10 != a(X93) )
| ( X93 = X94 )
| ( X92 = X93 )
| ( 7 != a(X92) )
| ( 2 != b(X92) )
| ( X91 = X92 )
| ( X91 = X94 )
| ( 12 != a(X94) )
| ( X92 = X94 )
| ~ $less(b(X93),3) )
& ! [X38: $int,X36: $int,X37: $int,X39: $int] :
( ( 7 != a(X37) )
| ( 2 != b(X36) )
| ~ $less(b(X37),4)
| ( X37 = X39 )
| ( 1 != a(X38) )
| ( X36 = X39 )
| ( 5 != b(X39) )
| ~ $less(X36,X38)
| ( 10 != a(X36) )
| ( X36 = X38 )
| ( X38 = X39 )
| ( X37 = X38 )
| ( X36 = X37 ) )
& ( z2 != z3 )
& ! [X176: $int,X175: $int,X178: $int,X177: $int] :
( ~ $less(b(X175),4)
| ( 10 != a(X178) )
| ~ $less(b(X177),4)
| ~ $less(X178,X177)
| ( X176 = X178 )
| ( X176 = X177 )
| ( X175 = X177 )
| ( 3 != a(X177) )
| ( 2 != b(X178) )
| ( 5 != b(X176) )
| ( 7 != a(X175) )
| ( X177 = X178 )
| ( X175 = X178 )
| ( X175 = X176 ) )
& ! [X226: $int,X228: $int,X227: $int] :
( ( 10 != a(X227) )
| ~ $less(X227,X228)
| ~ $less(b(X226),4)
| ( 8 != a(X226) )
| ( 1 != a(X228) )
| ( X226 = X227 )
| ( X226 = X228 )
| ( 2 != b(X227) )
| ( X227 = X228 ) )
& ! [X50: $int,X52: $int,X51: $int] :
( ( 10 != a(X51) )
| ( 2 != a(X52) )
| ~ $less(b(X50),4)
| ~ $less(X51,X52)
| ( X51 = X52 )
| ( 2 != b(X51) )
| ( 5 != b(X52) )
| ( X50 = X52 )
| ( 7 != a(X50) )
| ( X50 = X51 ) )
& ( a(z2) = 10 )
& ! [X72: $int,X73: $int,X74: $int] :
( ( X72 = X74 )
| ( 10 != a(X72) )
| ( X72 = X73 )
| ( 2 != b(X72) )
| ( 5 != b(X74) )
| ( 2 != a(X74) )
| ( 6 != a(X73) )
| ( X73 = X74 )
| ~ $less(X72,X74) )
& $less(b(z2),3)
& ! [X79: $int,X78: $int,X80: $int] :
( ( X78 = X80 )
| ( 2 != b(X80) )
| ( 12 != a(X79) )
| ( 5 != b(X79) )
| ( X79 = X80 )
| ( 10 != a(X80) )
| ( 6 != a(X78) )
| ( X78 = X79 )
| ~ $less(X80,X79) )
& ! [X221: $int,X220: $int] :
( ( 9 != a(X220) )
| ( 10 != a(X221) )
| ( X220 = X221 )
| ~ $less(X221,X220)
| ~ $less(b(X221),3) )
& ! [X28: $int,X26: $int,X27: $int] :
( ( 7 != a(X26) )
| ( X27 = X28 )
| ( 12 != a(X27) )
| ~ $less(X28,X27)
| ( 2 != b(X26) )
| ( 10 != a(X28) )
| ( X26 = X27 )
| ( X26 = X28 )
| ~ $less(b(X28),3)
| ( 5 != b(X27) ) )
& ! [X77: $int,X75: $int,X76: $int] :
( ( X75 = X77 )
| ( 5 != a(X75) )
| ~ $less(b(X76),3)
| ( 10 != a(X76) )
| ( 2 != b(X77) )
| ( 5 != b(X75) )
| ( X75 = X76 )
| ( X76 = X77 )
| ~ $less(X76,X75)
| ( 6 != a(X77) ) )
& ! [X5: $int,X6: $int,X4: $int] :
( ( 7 != a(X4) )
| ~ $less(X6,X5)
| ( X4 = X6 )
| ( 5 != a(X5) )
| ( 10 != a(X6) )
| ( X5 = X6 )
| ( 2 != b(X6) )
| ( 5 != b(X5) )
| ( X4 = X5 ) )
& ! [X171: $int,X174: $int,X172: $int,X173: $int] :
( ( X172 = X174 )
| ( X171 = X174 )
| ( X171 = X172 )
| ~ $less(X171,X174)
| ( X173 = X174 )
| ( 5 != b(X174) )
| ( 10 != a(X171) )
| ~ $less(b(X171),3)
| ( 5 != a(X174) )
| ( 2 != b(X172) )
| ( 6 != a(X173) )
| ( X172 = X173 )
| ( X171 = X173 ) )
& ! [X22: $int,X24: $int,X25: $int,X23: $int] :
( ( X22 = X24 )
| ~ $less(b(X23),4)
| ( X23 = X25 )
| ( X22 = X23 )
| ( 5 != b(X25) )
| ( 7 != a(X23) )
| ( 10 != a(X24) )
| ( X23 = X24 )
| ( 12 != a(X22) )
| ( 2 != b(X24) )
| ( X22 = X25 )
| ( X24 = X25 )
| ~ $less(X24,X22) )
& ! [X19: $int,X20: $int,X21: $int] :
( ( 5 != b(X21) )
| ( X19 = X21 )
| ~ $less(b(X19),3)
| ~ $less(X19,X21)
| ( 7 != a(X21) )
| ( 6 != a(X20) )
| ( X20 = X21 )
| ( X19 = X20 )
| ( 10 != a(X19) ) )
& ! [X85: $int,X87: $int,X86: $int] :
( ( 4 != a(X87) )
| ( 5 != b(X85) )
| ( X86 = X87 )
| ( X85 = X86 )
| ( X85 = X87 )
| ~ $less(X86,X85)
| ( 2 != b(X86) )
| ( 12 != a(X85) )
| ( 10 != a(X86) ) )
& ( a(z4) = 7 )
& ! [X11: $int,X12: $int,X10: $int,X13: $int] :
( ( 2 != b(X10) )
| ( 5 != a(X13) )
| ( 8 != a(X12) )
| ( X10 = X12 )
| ( X10 = X13 )
| ~ $less(X11,X13)
| ( X10 = X11 )
| ( X12 = X13 )
| ( X11 = X13 )
| ( X11 = X12 )
| ~ $less(b(X11),3)
| ( 10 != a(X11) ) )
& ! [X66: $int,X68: $int,X67: $int] :
( ( 2 != b(X66) )
| ( X66 = X67 )
| ( X67 = X68 )
| ~ $less(X66,X67)
| ( X66 = X68 )
| ( 4 != a(X67) )
| ( 8 != a(X68) )
| ( 10 != a(X66) ) )
& ! [X215: $int,X213: $int,X214: $int] :
( ~ $less(b(X213),3)
| ~ $less(X213,X214)
| ( 7 != a(X214) )
| ( X214 = X215 )
| ( X213 = X215 )
| ( X213 = X214 )
| ( 10 != a(X213) )
| ( 8 != a(X215) ) )
& ! [X152: $int,X151: $int,X153: $int] :
( ( 10 != a(X151) )
| ( X151 = X153 )
| ( X151 = X152 )
| ( 8 != a(X153) )
| ( 12 != a(X152) )
| ~ $less(X151,X152)
| ~ $less(b(X153),4)
| ( X152 = X153 )
| ( 2 != b(X151) ) )
& ( z1 != z5 )
& ( b(z1) = 5 )
& ! [X233: $int,X234: $int,X235: $int] :
( ~ $less(X233,X235)
| ( X234 = X235 )
| ( 10 != a(X233) )
| ( 5 != a(X234) )
| ( 5 != b(X235) )
| ( X233 = X234 )
| ( 2 != b(X233) )
| ( 7 != a(X235) )
| ( X233 = X235 ) )
& ! [X117: $int,X119: $int,X118: $int] :
( ~ $less(X119,X117)
| ( X118 = X119 )
| ( 5 != b(X117) )
| ( 10 != a(X119) )
| ( 12 != a(X117) )
| ( X117 = X118 )
| ( 2 != b(X119) )
| ( X117 = X119 )
| ( 5 != a(X118) ) )
& ! [X133: $int,X132: $int,X134: $int] :
( ( 5 != b(X133) )
| ( 7 != a(X132) )
| ( X132 = X134 )
| ~ $less(b(X134),3)
| ( X132 = X133 )
| ( 10 != a(X134) )
| ~ $less(X134,X133)
| ( X133 = X134 )
| ( 7 != a(X133) ) )
& ! [X8: $int,X7: $int,X9: $int] :
( ( 6 != a(X9) )
| ~ $less(b(X8),3)
| ( X7 = X9 )
| ~ $less(X8,X9)
| ( X8 = X9 )
| ( X7 = X8 )
| ( 10 != a(X8) )
| ( 8 != a(X7) ) )
& ( a(z1) = 5 )
& ! [X181: $int,X180: $int,X182: $int,X179: $int] :
( ( 2 != b(X180) )
| ( X179 = X182 )
| ~ $less(b(X179),3)
| ( 5 != b(X182) )
| ~ $less(X179,X181)
| ( X179 = X181 )
| ( X180 = X181 )
| ( X180 = X182 )
| ( 10 != a(X179) )
| ( X181 = X182 )
| ( X179 = X180 )
| ( 5 != a(X181) ) )
& ! [X162: $int,X161: $int,X163: $int] :
( ( 5 != b(X163) )
| ( 2 != b(X161) )
| ~ $less(b(X162),4)
| ( X161 = X162 )
| ( X161 = X163 )
| ~ $less(X161,X163)
| ( 7 != a(X162) )
| ( 10 != a(X161) )
| ( 1 != a(X163) )
| ( X162 = X163 ) )
& ! [X229: $int] :
( ~ $less(12,a(X229))
& ~ $less(a(X229),1) )
& ! [X230: $int,X232: $int,X231: $int] :
( ( X230 = X231 )
| ( 5 != b(X230) )
| ( 2 != b(X232) )
| ( X230 = X232 )
| ~ $less(X232,X230)
| ( X231 = X232 )
| ( 4 != a(X231) )
| ( 5 != a(X230) )
| ( 10 != a(X232) ) )
& ! [X225: $int,X222: $int,X223: $int,X224: $int] :
( ( X224 = X225 )
| ( X222 = X225 )
| ( 5 != b(X225) )
| ( X222 = X223 )
| ~ $less(b(X223),3)
| ( 2 != b(X224) )
| ( 5 != a(X222) )
| ( 6 != a(X225) )
| ( X223 = X224 )
| ( X222 = X224 )
| ( 10 != a(X223) )
| ( X223 = X225 )
| ~ $less(X223,X225) )
& ( b(z4) = 2 )
& ( b(z3) = 5 )
& ! [X56: $int,X57: $int,X58: $int] :
( ( 5 != b(X58) )
| ( 10 != a(X57) )
| ~ $less(X57,X56)
| ( X56 = X57 )
| ( X56 = X58 )
| ( 6 != a(X56) )
| ~ $less(b(X57),3)
| ( X57 = X58 ) )
& ! [X148: $int,X149: $int,X150: $int] :
( ( 4 != a(X149) )
| ( X148 = X149 )
| ( X149 = X150 )
| ~ $less(X150,X148)
| ( 5 != b(X148) )
| ( 2 != b(X150) )
| ( 6 != a(X148) )
| ( 10 != a(X150) )
| ( X148 = X150 ) )
& ! [X43: $int,X45: $int,X46: $int,X44: $int] :
( ( 10 != a(X44) )
| ( X45 = X46 )
| ( X43 = X46 )
| ( X43 = X45 )
| ( X44 = X45 )
| ( 2 != b(X46) )
| ~ $less(b(X44),3)
| ( 4 != a(X43) )
| ~ $less(X44,X43)
| ( 5 != b(X45) )
| ( X44 = X46 )
| ( X43 = X44 ) )
& ! [X146: $int,X145: $int,X147: $int] :
( ( 5 != a(X145) )
| ( 6 != a(X146) )
| ( 5 != b(X146) )
| ( X146 = X147 )
| ( 2 != b(X147) )
| ( X145 = X147 )
| ~ $less(X147,X146)
| ( X145 = X146 )
| ( 10 != a(X147) ) )
& ! [X208: $int,X209: $int] :
( ~ $less(X209,X208)
| ( 8 != a(X208) )
| ~ $less(b(X209),3)
| ( X208 = X209 )
| ( 10 != a(X209) ) )
& ( z3 != z5 )
& ! [X69: $int,X71: $int,X70: $int] :
( ( 5 != a(X71) )
| ( X69 = X70 )
| ( X70 = X71 )
| ( 10 != a(X70) )
| ~ $less(X70,X71)
| ( X69 = X71 )
| ( 8 != a(X69) )
| ( 2 != b(X70) ) )
& ! [X193: $int,X192: $int,X194: $int] :
( ~ $less(b(X192),3)
| ( 2 != a(X194) )
| ( 10 != a(X192) )
| ( 7 != a(X193) )
| ( X193 = X194 )
| ( X192 = X193 )
| ( 2 != b(X193) )
| ( X192 = X194 )
| ( 5 != b(X194) )
| ~ $less(X192,X194) )
& ! [X189: $int,X191: $int,X190: $int] :
( ~ $less(X190,X189)
| ( 2 != b(X190) )
| ( X189 = X190 )
| ( 6 != a(X191) )
| ( 5 != b(X189) )
| ( X189 = X191 )
| ( X190 = X191 )
| ( 5 != a(X189) )
| ( 10 != a(X190) ) )
& ! [X197: $int,X196: $int,X195: $int] :
( ( X195 = X197 )
| ~ $less(X196,X195)
| ( X195 = X196 )
| ( 2 != a(X195) )
| ( 5 != b(X195) )
| ( X196 = X197 )
| ( 10 != a(X196) )
| ( 5 != a(X197) )
| ( 2 != b(X196) ) )
& ( z4 != z5 )
& ! [X136: $int,X137: $int,X135: $int,X138: $int] :
( ( X135 = X137 )
| ( X137 = X138 )
| ( X136 = X138 )
| ~ $less(b(X135),3)
| ~ $less(X135,X136)
| ( X135 = X136 )
| ( 2 != b(X137) )
| ( 7 != a(X137) )
| ( 10 != a(X135) )
| ( 4 != a(X136) )
| ( X136 = X137 )
| ( X135 = X138 )
| ( 5 != b(X138) ) )
& ! [X88: $int,X89: $int,X90: $int] :
( ( X89 = X90 )
| ( 10 != a(X88) )
| ~ $less(b(X88),3)
| ( 5 != b(X90) )
| ( X88 = X90 )
| ~ $less(X88,X90)
| ( 6 != a(X90) )
| ( X88 = X89 )
| ( 6 != a(X89) ) )
& ! [X18: $int,X17: $int,X16: $int] :
( ~ $less(b(X16),3)
| ( X17 = X18 )
| ( 2 != b(X18) )
| ( X16 = X17 )
| ~ $less(X16,X17)
| ( 10 != a(X16) )
| ( X16 = X18 )
| ( 4 != a(X17) )
| ( 8 != a(X18) ) )
& ! [X29: $int,X32: $int,X30: $int,X31: $int] :
( ~ $less(b(X29),3)
| ( X29 = X31 )
| ( 3 != a(X31) )
| ( 7 != a(X30) )
| ( 2 != b(X30) )
| ~ $less(X29,X31)
| ( X31 = X32 )
| ( X30 = X31 )
| ( X29 = X30 )
| ( X29 = X32 )
| ( 10 != a(X29) )
| ~ $less(b(X31),4)
| ( X30 = X32 )
| ( 5 != b(X32) ) )
& ! [X141: $int,X139: $int,X140: $int] :
( ( 2 != b(X140) )
| ( 4 != a(X141) )
| ( 5 != b(X141) )
| ( X139 = X141 )
| ( 10 != a(X140) )
| ( X140 = X141 )
| ~ $less(X140,X141)
| ( X139 = X140 )
| ( 6 != a(X139) ) )
& ! [X144: $int,X143: $int,X142: $int] :
( ( X143 = X144 )
| ~ $less(b(X143),3)
| ( X142 = X144 )
| ( X142 = X143 )
| ( 10 != a(X143) )
| ( 2 != b(X142) )
| ( 4 != a(X144) )
| ( 5 != b(X144) )
| ( 7 != a(X142) )
| ~ $less(X143,X144) )
& ! [X104: $int,X106: $int,X105: $int] :
( ( X104 = X106 )
| ( 2 != b(X105) )
| ~ $less(b(X104),3)
| ( X104 = X105 )
| ( X105 = X106 )
| ( 2 != a(X106) )
| ( 8 != a(X105) )
| ( 10 != a(X104) )
| ~ $less(X104,X106) )
& ! [X167: $int,X164: $int,X165: $int,X166: $int] :
( ~ $less(b(X166),3)
| ( X164 = X165 )
| ( 5 != b(X167) )
| ( X165 = X166 )
| ( 10 != a(X166) )
| ( X166 = X167 )
| ( X164 = X166 )
| ( X164 = X167 )
| ( 5 != a(X164) )
| ( 2 != a(X165) )
| ( X165 = X167 )
| ~ $less(X166,X164) )
& ! [X116: $int,X114: $int,X115: $int] :
( ( X114 = X116 )
| ~ $less(b(X116),3)
| ( 5 != b(X114) )
| ( X115 = X116 )
| ( 6 != a(X114) )
| ( 7 != a(X115) )
| ( 10 != a(X116) )
| ( X114 = X115 )
| ~ $less(X116,X114) )
& ! [X34: $int,X35: $int,X33: $int] :
( ( X33 = X35 )
| ( 10 != a(X35) )
| ( 1 != a(X33) )
| ( X33 = X34 )
| ~ $less(X35,X33)
| ( 2 != b(X34) )
| ( X34 = X35 )
| ( 8 != a(X34) )
| ~ $less(b(X35),3) )
& ! [X183: $int,X184: $int,X185: $int] :
( ~ $less(X183,X184)
| ( 5 != b(X185) )
| ( X184 = X185 )
| ( 4 != a(X184) )
| ( 2 != b(X183) )
| ( X183 = X184 )
| ( X183 = X185 )
| ( 10 != a(X183) ) )
& ! [X169: $int,X168: $int,X170: $int] :
( ( X168 = X170 )
| ~ $less(X169,X168)
| ( 8 != a(X170) )
| ( X169 = X170 )
| ( 2 != b(X170) )
| ~ $less(b(X169),3)
| ( X168 = X169 )
| ( 5 != a(X168) )
| ( 10 != a(X169) ) )
& ! [X188: $int,X186: $int,X187: $int] :
( ( 8 != a(X188) )
| ~ $less(X187,X186)
| ( X187 = X188 )
| ( 2 != b(X188) )
| ( X186 = X188 )
| ( 10 != a(X187) )
| ( X186 = X187 )
| ~ $less(b(X187),3)
| ( 12 != a(X186) ) )
& $less(z2,z1)
& ( z3 != z4 )
& ( z1 != z2 )
& ! [X82: $int,X81: $int,X84: $int,X83: $int] :
( ( X81 = X84 )
| ~ $less(b(X84),3)
| ( 10 != a(X84) )
| ( 7 != a(X82) )
| ( X82 = X84 )
| ~ $less(X84,X83)
| ( X81 = X82 )
| ( X82 = X83 )
| ( 2 != b(X82) )
| ( 1 != a(X83) )
| ( X81 = X83 )
| ( 5 != b(X81) )
| ( X83 = X84 ) )
& ( z2 != z4 )
& ! [X211: $int,X210: $int,X212: $int] :
( ( 5 != a(X210) )
| ( 5 != b(X210) )
| ( X211 = X212 )
| ( 10 != a(X212) )
| ( X210 = X211 )
| ( X210 = X212 )
| ~ $less(X212,X210)
| ( 2 != b(X212) )
| ( 5 != a(X211) ) )
& ! [X128: $int,X127: $int,X126: $int] :
( ( 5 != b(X126) )
| ( X126 = X127 )
| ( X126 = X128 )
| ~ $less(X127,X126)
| ( 7 != a(X128) )
| ( 1 != a(X126) )
| ( 10 != a(X127) )
| ~ $less(b(X127),3)
| ( 2 != b(X128) )
| ( X127 = X128 ) )
& ! [X54: $int,X53: $int,X55: $int] :
( ( X54 = X55 )
| ( 2 != b(X55) )
| ( 10 != a(X55) )
| ( X53 = X55 )
| ( 4 != a(X54) )
| ( 5 != b(X54) )
| ( 5 != a(X53) )
| ( X53 = X54 )
| ~ $less(X55,X54) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
( ( b(X0) != 5 )
| ~ $less(b(X3),3)
| ( X0 = X1 )
| ~ $less(X3,X0)
| ( X0 = X2 )
| ( X0 = X3 )
| ( X1 = X2 )
| ( X1 = X3 )
| ( X2 = X3 )
| ( a(X0) != 5 )
| ( 7 != a(X2) )
| ( b(X1) != 2 )
| ( 10 != a(X3) ) )
& ! [X120: $int,X122: $int,X121: $int] :
( ~ $less(X122,X121)
| ( 1 != a(X121) )
| ( X120 = X122 )
| ( 5 != b(X121) )
| ( 2 != b(X122) )
| ( X121 = X122 )
| ( 6 != a(X120) )
| ( 10 != a(X122) )
| ( X120 = X121 ) )
& ! [X96: $int,X95: $int,X97: $int] :
( ( X95 = X97 )
| ( X95 = X96 )
| ( 10 != a(X97) )
| ( X96 = X97 )
| ( 3 != a(X96) )
| ~ $less(b(X97),3)
| ~ $less(X97,X96)
| ( 2 != b(X95) )
| ~ $less(b(X96),4)
| ( 8 != a(X95) ) )
& ! [X102: $int,X101: $int,X103: $int] :
( ( X102 = X103 )
| ( 10 != a(X102) )
| ( X101 = X102 )
| ( X101 = X103 )
| ( 4 != a(X103) )
| ( 7 != a(X101) )
| ~ $less(X102,X103)
| ( 5 != b(X103) )
| ( 2 != b(X102) ) )
& ! [X157: $int,X159: $int,X158: $int,X160: $int] :
( ( X157 = X159 )
| ( X157 = X158 )
| ( X157 = X160 )
| ( 10 != a(X159) )
| ~ $less(b(X159),3)
| ( X158 = X160 )
| ( 5 != a(X157) )
| ~ $less(X159,X160)
| ( 5 != b(X160) )
| ( X159 = X160 )
| ( 2 != b(X158) )
| ( X158 = X159 )
| ( 5 != a(X160) )
| ( 2 != b(X157) ) )
& ! [X156: $int,X155: $int,X154: $int] :
( ( 5 != b(X154) )
| ( X154 = X156 )
| ( X155 = X156 )
| ( 2 != b(X156) )
| ( 5 != a(X155) )
| ( 1 != a(X154) )
| ~ $less(X156,X154)
| ( X154 = X155 )
| ( 10 != a(X156) ) )
& ! [X113: $int,X112: $int,X111: $int] :
( ( 10 != a(X112) )
| ( 4 != a(X113) )
| ( X111 = X113 )
| ( 2 != b(X112) )
| ( 5 != b(X113) )
| ( X112 = X113 )
| ~ $less(X112,X113)
| ( X111 = X112 )
| ( 4 != a(X111) ) )
& ! [X207: $int,X205: $int,X206: $int,X204: $int] :
( ~ $less(b(X206),3)
| ( X205 = X207 )
| ( X206 = X207 )
| ( 2 != b(X205) )
| ( 5 != a(X207) )
| ( 7 != a(X204) )
| ( X204 = X205 )
| ( X204 = X206 )
| ( 5 != b(X204) )
| ( X204 = X207 )
| ~ $less(X206,X204)
| ( 10 != a(X206) )
| ( X205 = X206 ) )
& ! [X110: $int,X109: $int,X107: $int,X108: $int] :
( ( 10 != a(X107) )
| ( X108 = X110 )
| ~ $less(b(X108),4)
| ( X107 = X110 )
| ( 5 != b(X109) )
| ~ $less(X107,X110)
| ( 7 != a(X108) )
| ( 2 != a(X110) )
| ( 2 != b(X107) )
| ( X108 = X109 )
| ( X107 = X108 )
| ( X107 = X109 )
| ( X109 = X110 ) )
& ! [X15: $int,X14: $int] :
( ( X14 = X15 )
| ( 10 != a(X15) )
| ( 10 != a(X14) ) )
& ( z2 != z5 )
& ! [X125: $int,X123: $int,X124: $int] :
( ~ $less(b(X124),3)
| ( 5 != b(X125) )
| ( 7 != a(X123) )
| ( X123 = X124 )
| ~ $less(X124,X125)
| ( X123 = X125 )
| ( 5 != a(X125) )
| ( X124 = X125 )
| ( 2 != b(X123) )
| ( 10 != a(X124) ) )
& ! [X216: $int] :
( ~ $less(5,b(X216))
& ~ $less(b(X216),1) )
& ! [X60: $int,X59: $int,X61: $int] :
( ( 2 != b(X61) )
| ( 5 != b(X59) )
| ( X59 = X61 )
| ( 10 != a(X61) )
| ~ $less(X61,X59)
| ( 4 != a(X60) )
| ( 1 != a(X59) )
| ( X59 = X60 )
| ( X60 = X61 ) )
& ! [X200: $int,X199: $int,X198: $int] :
( ( X198 = X199 )
| ( 8 != a(X199) )
| ~ $less(b(X198),4)
| ( 2 != b(X200) )
| ( 10 != a(X200) )
| ( X198 = X200 )
| ~ $less(b(X199),4)
| ( X199 = X200 )
| ~ $less(X200,X198)
| ( 3 != a(X198) ) )
& ( z1 != z3 )
& ! [X201: $int,X203: $int,X202: $int] :
( ( X201 = X202 )
| ~ $less(X202,X203)
| ( 5 != b(X203) )
| ( 4 != a(X201) )
| ( 10 != a(X202) )
| ( 2 != a(X203) )
| ( X201 = X203 )
| ( 2 != b(X202) )
| ( X202 = X203 ) )
& ! [X99: $int,X98: $int,X100: $int] :
( ~ $less(b(X99),3)
| ( 7 != a(X98) )
| ( 5 != b(X100) )
| ( X98 = X100 )
| ( X98 = X99 )
| ~ $less(X99,X98)
| ( X99 = X100 )
| ( 10 != a(X99) ) )
& ! [X217: $int,X219: $int,X218: $int] :
( ( X218 = X219 )
| ~ $less(X217,X219)
| ( X217 = X218 )
| ( X217 = X219 )
| ( 5 != b(X219) )
| ( 4 != a(X218) )
| ( 7 != a(X219) )
| ( 10 != a(X217) )
| ( 2 != b(X217) ) )
& ! [X42: $int,X41: $int,X40: $int] :
( ( 2 != b(X41) )
| ~ $less(X41,X40)
| ( 5 != a(X40) )
| ( X40 = X42 )
| ( 5 != b(X42) )
| ( X41 = X42 )
| ( 10 != a(X41) )
| ( X40 = X41 ) )
& ! [X49: $int,X47: $int,X48: $int] :
( ( X47 = X49 )
| ( 2 != b(X49) )
| ( 2 != a(X48) )
| ( 8 != a(X47) )
| ( 10 != a(X49) )
| ( X48 = X49 )
| ( X47 = X48 )
| ~ $less(b(X47),4)
| ~ $less(X49,X48) )
& ! [X131: $int,X129: $int,X130: $int] :
( ~ $less(X129,X131)
| ( X129 = X131 )
| ( 10 != a(X129) )
| ( X129 = X130 )
| ~ $less(b(X130),4)
| ( X130 = X131 )
| ( 2 != b(X129) )
| ( 7 != a(X130) )
| ( 5 != b(X131) )
| ( 12 != a(X131) ) )
& ( z1 != z4 )
& ! [X65: $int,X63: $int,X62: $int,X64: $int] :
( ( 10 != a(X64) )
| ( X63 = X65 )
| ( X64 = X65 )
| ( 2 != b(X63) )
| ~ $less(X64,X62)
| ( 2 != a(X62) )
| ( 7 != a(X63) )
| ( X62 = X65 )
| ( X62 = X63 )
| ( X62 = X64 )
| ( 5 != b(X65) )
| ~ $less(b(X64),3)
| ( X63 = X64 ) ) ),
inference(flattening,[],[f6]) ).
tff(f8,plain,
( ! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( 5 != b(X2) )
| ~ $less(X1,X0)
| ( X1 = X2 )
| ( 10 != a(X1) )
| ( X0 = X1 )
| ( X1 = X3 )
| ( 7 != a(X3) )
| ( 2 != b(X3) )
| ( X2 = X3 )
| ( X0 = X2 )
| ( a(X0) != 12 )
| ( X0 = X3 )
| ~ $less(b(X1),3) )
& ! [X4: $int,X5: $int,X6: $int,X7: $int] :
( ( 7 != a(X6) )
| ( 2 != b(X5) )
| ~ $less(b(X6),4)
| ( X6 = X7 )
| ( 1 != a(X4) )
| ( X5 = X7 )
| ( 5 != b(X7) )
| ~ $less(X5,X4)
| ( 10 != a(X5) )
| ( X4 = X5 )
| ( X4 = X7 )
| ( X4 = X6 )
| ( X5 = X6 ) )
& ( z2 != z3 )
& ! [X8: $int,X9: $int,X10: $int,X11: $int] :
( ~ $less(b(X9),4)
| ( 10 != a(X10) )
| ~ $less(b(X11),4)
| ~ $less(X10,X11)
| ( X8 = X10 )
| ( X8 = X11 )
| ( X9 = X11 )
| ( 3 != a(X11) )
| ( 2 != b(X10) )
| ( 5 != b(X8) )
| ( 7 != a(X9) )
| ( X10 = X11 )
| ( X9 = X10 )
| ( X8 = X9 ) )
& ! [X12: $int,X13: $int,X14: $int] :
( ( 10 != a(X14) )
| ~ $less(X14,X13)
| ~ $less(b(X12),4)
| ( 8 != a(X12) )
| ( 1 != a(X13) )
| ( X12 = X14 )
| ( X12 = X13 )
| ( 2 != b(X14) )
| ( X13 = X14 ) )
& ! [X15: $int,X16: $int,X17: $int] :
( ( 10 != a(X17) )
| ( 2 != a(X16) )
| ~ $less(b(X15),4)
| ~ $less(X17,X16)
| ( X16 = X17 )
| ( 2 != b(X17) )
| ( 5 != b(X16) )
| ( X15 = X16 )
| ( 7 != a(X15) )
| ( X15 = X17 ) )
& ( a(z2) = 10 )
& ! [X18: $int,X19: $int,X20: $int] :
( ( X18 = X20 )
| ( 10 != a(X18) )
| ( X18 = X19 )
| ( 2 != b(X18) )
| ( 5 != b(X20) )
| ( 2 != a(X20) )
| ( 6 != a(X19) )
| ( X19 = X20 )
| ~ $less(X18,X20) )
& $less(b(z2),3)
& ! [X21: $int,X22: $int,X23: $int] :
( ( X22 = X23 )
| ( 2 != b(X23) )
| ( 12 != a(X21) )
| ( 5 != b(X21) )
| ( X21 = X23 )
| ( 10 != a(X23) )
| ( 6 != a(X22) )
| ( X21 = X22 )
| ~ $less(X23,X21) )
& ! [X24: $int,X25: $int] :
( ( 9 != a(X25) )
| ( 10 != a(X24) )
| ( X24 = X25 )
| ~ $less(X24,X25)
| ~ $less(b(X24),3) )
& ! [X26: $int,X27: $int,X28: $int] :
( ( 7 != a(X27) )
| ( X26 = X28 )
| ( 12 != a(X28) )
| ~ $less(X26,X28)
| ( 2 != b(X27) )
| ( 10 != a(X26) )
| ( X27 = X28 )
| ( X26 = X27 )
| ~ $less(b(X26),3)
| ( 5 != b(X28) ) )
& ! [X29: $int,X30: $int,X31: $int] :
( ( X29 = X30 )
| ( 5 != a(X30) )
| ~ $less(b(X31),3)
| ( 10 != a(X31) )
| ( 2 != b(X29) )
| ( 5 != b(X30) )
| ( X30 = X31 )
| ( X29 = X31 )
| ~ $less(X31,X30)
| ( 6 != a(X29) ) )
& ! [X32: $int,X33: $int,X34: $int] :
( ( 7 != a(X34) )
| ~ $less(X33,X32)
| ( X33 = X34 )
| ( 5 != a(X32) )
| ( 10 != a(X33) )
| ( X32 = X33 )
| ( 2 != b(X33) )
| ( 5 != b(X32) )
| ( X32 = X34 ) )
& ! [X35: $int,X36: $int,X37: $int,X38: $int] :
( ( X36 = X37 )
| ( X35 = X36 )
| ( X35 = X37 )
| ~ $less(X35,X36)
| ( X36 = X38 )
| ( 5 != b(X36) )
| ( 10 != a(X35) )
| ~ $less(b(X35),3)
| ( 5 != a(X36) )
| ( 2 != b(X37) )
| ( 6 != a(X38) )
| ( X37 = X38 )
| ( X35 = X38 ) )
& ! [X39: $int,X40: $int,X41: $int,X42: $int] :
( ( X39 = X40 )
| ~ $less(b(X42),4)
| ( X41 = X42 )
| ( X39 = X42 )
| ( 5 != b(X41) )
| ( 7 != a(X42) )
| ( 10 != a(X40) )
| ( X40 = X42 )
| ( 12 != a(X39) )
| ( 2 != b(X40) )
| ( X39 = X41 )
| ( X40 = X41 )
| ~ $less(X40,X39) )
& ! [X43: $int,X44: $int,X45: $int] :
( ( 5 != b(X45) )
| ( X43 = X45 )
| ~ $less(b(X43),3)
| ~ $less(X43,X45)
| ( 7 != a(X45) )
| ( 6 != a(X44) )
| ( X44 = X45 )
| ( X43 = X44 )
| ( 10 != a(X43) ) )
& ! [X46: $int,X47: $int,X48: $int] :
( ( 4 != a(X47) )
| ( 5 != b(X46) )
| ( X47 = X48 )
| ( X46 = X48 )
| ( X46 = X47 )
| ~ $less(X48,X46)
| ( 2 != b(X48) )
| ( 12 != a(X46) )
| ( 10 != a(X48) ) )
& ( a(z4) = 7 )
& ! [X49: $int,X50: $int,X51: $int,X52: $int] :
( ( 2 != b(X51) )
| ( 5 != a(X52) )
| ( 8 != a(X50) )
| ( X50 = X51 )
| ( X51 = X52 )
| ~ $less(X49,X52)
| ( X49 = X51 )
| ( X50 = X52 )
| ( X49 = X52 )
| ( X49 = X50 )
| ~ $less(b(X49),3)
| ( 10 != a(X49) ) )
& ! [X53: $int,X54: $int,X55: $int] :
( ( 2 != b(X53) )
| ( X53 = X55 )
| ( X54 = X55 )
| ~ $less(X53,X55)
| ( X53 = X54 )
| ( 4 != a(X55) )
| ( 8 != a(X54) )
| ( 10 != a(X53) ) )
& ! [X56: $int,X57: $int,X58: $int] :
( ~ $less(b(X57),3)
| ~ $less(X57,X58)
| ( 7 != a(X58) )
| ( X56 = X58 )
| ( X56 = X57 )
| ( X57 = X58 )
| ( 10 != a(X57) )
| ( 8 != a(X56) ) )
& ! [X59: $int,X60: $int,X61: $int] :
( ( 10 != a(X60) )
| ( X60 = X61 )
| ( X59 = X60 )
| ( 8 != a(X61) )
| ( 12 != a(X59) )
| ~ $less(X60,X59)
| ~ $less(b(X61),4)
| ( X59 = X61 )
| ( 2 != b(X60) ) )
& ( z1 != z5 )
& ( b(z1) = 5 )
& ! [X62: $int,X63: $int,X64: $int] :
( ~ $less(X62,X64)
| ( X63 = X64 )
| ( 10 != a(X62) )
| ( 5 != a(X63) )
| ( 5 != b(X64) )
| ( X62 = X63 )
| ( 2 != b(X62) )
| ( 7 != a(X64) )
| ( X62 = X64 ) )
& ! [X65: $int,X66: $int,X67: $int] :
( ~ $less(X66,X65)
| ( X66 = X67 )
| ( 5 != b(X65) )
| ( 10 != a(X66) )
| ( 12 != a(X65) )
| ( X65 = X67 )
| ( 2 != b(X66) )
| ( X65 = X66 )
| ( 5 != a(X67) ) )
& ! [X68: $int,X69: $int,X70: $int] :
( ( 5 != b(X68) )
| ( 7 != a(X69) )
| ( X69 = X70 )
| ~ $less(b(X70),3)
| ( X68 = X69 )
| ( 10 != a(X70) )
| ~ $less(X70,X68)
| ( X68 = X70 )
| ( 7 != a(X68) ) )
& ! [X71: $int,X72: $int,X73: $int] :
( ( 6 != a(X73) )
| ~ $less(b(X71),3)
| ( X72 = X73 )
| ~ $less(X71,X73)
| ( X71 = X73 )
| ( X71 = X72 )
| ( 10 != a(X71) )
| ( 8 != a(X72) ) )
& ( a(z1) = 5 )
& ! [X74: $int,X75: $int,X76: $int,X77: $int] :
( ( 2 != b(X75) )
| ( X76 = X77 )
| ~ $less(b(X77),3)
| ( 5 != b(X76) )
| ~ $less(X77,X74)
| ( X74 = X77 )
| ( X74 = X75 )
| ( X75 = X76 )
| ( 10 != a(X77) )
| ( X74 = X76 )
| ( X75 = X77 )
| ( 5 != a(X74) ) )
& ! [X78: $int,X79: $int,X80: $int] :
( ( 5 != b(X80) )
| ( 2 != b(X79) )
| ~ $less(b(X78),4)
| ( X78 = X79 )
| ( X79 = X80 )
| ~ $less(X79,X80)
| ( 7 != a(X78) )
| ( 10 != a(X79) )
| ( 1 != a(X80) )
| ( X78 = X80 ) )
& ! [X81: $int] :
( ~ $less(12,a(X81))
& ~ $less(a(X81),1) )
& ! [X82: $int,X83: $int,X84: $int] :
( ( X82 = X84 )
| ( 5 != b(X82) )
| ( 2 != b(X83) )
| ( X82 = X83 )
| ~ $less(X83,X82)
| ( X83 = X84 )
| ( 4 != a(X84) )
| ( 5 != a(X82) )
| ( 10 != a(X83) ) )
& ! [X85: $int,X86: $int,X87: $int,X88: $int] :
( ( X85 = X88 )
| ( X85 = X86 )
| ( 5 != b(X85) )
| ( X86 = X87 )
| ~ $less(b(X87),3)
| ( 2 != b(X88) )
| ( 5 != a(X86) )
| ( 6 != a(X85) )
| ( X87 = X88 )
| ( X86 = X88 )
| ( 10 != a(X87) )
| ( X85 = X87 )
| ~ $less(X87,X85) )
& ( b(z4) = 2 )
& ( b(z3) = 5 )
& ! [X89: $int,X90: $int,X91: $int] :
( ( 5 != b(X91) )
| ( 10 != a(X90) )
| ~ $less(X90,X89)
| ( X89 = X90 )
| ( X89 = X91 )
| ( 6 != a(X89) )
| ~ $less(b(X90),3)
| ( X90 = X91 ) )
& ! [X92: $int,X93: $int,X94: $int] :
( ( 4 != a(X93) )
| ( X92 = X93 )
| ( X93 = X94 )
| ~ $less(X94,X92)
| ( 5 != b(X92) )
| ( 2 != b(X94) )
| ( 6 != a(X92) )
| ( 10 != a(X94) )
| ( X92 = X94 ) )
& ! [X95: $int,X96: $int,X97: $int,X98: $int] :
( ( 10 != a(X98) )
| ( X96 = X97 )
| ( X95 = X97 )
| ( X95 = X96 )
| ( X96 = X98 )
| ( 2 != b(X97) )
| ~ $less(b(X98),3)
| ( 4 != a(X95) )
| ~ $less(X98,X95)
| ( 5 != b(X96) )
| ( X97 = X98 )
| ( X95 = X98 ) )
& ! [X99: $int,X100: $int,X101: $int] :
( ( 5 != a(X100) )
| ( 6 != a(X99) )
| ( 5 != b(X99) )
| ( X99 = X101 )
| ( 2 != b(X101) )
| ( X100 = X101 )
| ~ $less(X101,X99)
| ( X99 = X100 )
| ( 10 != a(X101) ) )
& ! [X102: $int,X103: $int] :
( ~ $less(X103,X102)
| ( 8 != a(X102) )
| ~ $less(b(X103),3)
| ( X102 = X103 )
| ( 10 != a(X103) ) )
& ( z3 != z5 )
& ! [X104: $int,X105: $int,X106: $int] :
( ( 5 != a(X105) )
| ( X104 = X106 )
| ( X105 = X106 )
| ( 10 != a(X106) )
| ~ $less(X106,X105)
| ( X104 = X105 )
| ( 8 != a(X104) )
| ( 2 != b(X106) ) )
& ! [X107: $int,X108: $int,X109: $int] :
( ~ $less(b(X108),3)
| ( 2 != a(X109) )
| ( 10 != a(X108) )
| ( 7 != a(X107) )
| ( X107 = X109 )
| ( X107 = X108 )
| ( 2 != b(X107) )
| ( X108 = X109 )
| ( 5 != b(X109) )
| ~ $less(X108,X109) )
& ! [X110: $int,X111: $int,X112: $int] :
( ~ $less(X112,X110)
| ( 2 != b(X112) )
| ( X110 = X112 )
| ( 6 != a(X111) )
| ( 5 != b(X110) )
| ( X110 = X111 )
| ( X111 = X112 )
| ( 5 != a(X110) )
| ( 10 != a(X112) ) )
& ! [X113: $int,X114: $int,X115: $int] :
( ( X113 = X115 )
| ~ $less(X114,X115)
| ( X114 = X115 )
| ( 2 != a(X115) )
| ( 5 != b(X115) )
| ( X113 = X114 )
| ( 10 != a(X114) )
| ( 5 != a(X113) )
| ( 2 != b(X114) ) )
& ( z4 != z5 )
& ! [X116: $int,X117: $int,X118: $int,X119: $int] :
( ( X117 = X118 )
| ( X117 = X119 )
| ( X116 = X119 )
| ~ $less(b(X118),3)
| ~ $less(X118,X116)
| ( X116 = X118 )
| ( 2 != b(X117) )
| ( 7 != a(X117) )
| ( 10 != a(X118) )
| ( 4 != a(X116) )
| ( X116 = X117 )
| ( X118 = X119 )
| ( 5 != b(X119) ) )
& ! [X120: $int,X121: $int,X122: $int] :
( ( X121 = X122 )
| ( 10 != a(X120) )
| ~ $less(b(X120),3)
| ( 5 != b(X122) )
| ( X120 = X122 )
| ~ $less(X120,X122)
| ( 6 != a(X122) )
| ( X120 = X121 )
| ( 6 != a(X121) ) )
& ! [X123: $int,X124: $int,X125: $int] :
( ~ $less(b(X125),3)
| ( X123 = X124 )
| ( 2 != b(X123) )
| ( X124 = X125 )
| ~ $less(X125,X124)
| ( 10 != a(X125) )
| ( X123 = X125 )
| ( 4 != a(X124) )
| ( 8 != a(X123) ) )
& ! [X126: $int,X127: $int,X128: $int,X129: $int] :
( ~ $less(b(X126),3)
| ( X126 = X129 )
| ( 3 != a(X129) )
| ( 7 != a(X128) )
| ( 2 != b(X128) )
| ~ $less(X126,X129)
| ( X127 = X129 )
| ( X128 = X129 )
| ( X126 = X128 )
| ( X126 = X127 )
| ( 10 != a(X126) )
| ~ $less(b(X129),4)
| ( X127 = X128 )
| ( 5 != b(X127) ) )
& ! [X130: $int,X131: $int,X132: $int] :
( ( 2 != b(X132) )
| ( 4 != a(X130) )
| ( 5 != b(X130) )
| ( X130 = X131 )
| ( 10 != a(X132) )
| ( X130 = X132 )
| ~ $less(X132,X130)
| ( X131 = X132 )
| ( 6 != a(X131) ) )
& ! [X133: $int,X134: $int,X135: $int] :
( ( X133 = X134 )
| ~ $less(b(X134),3)
| ( X133 = X135 )
| ( X134 = X135 )
| ( 10 != a(X134) )
| ( 2 != b(X135) )
| ( 4 != a(X133) )
| ( 5 != b(X133) )
| ( 7 != a(X135) )
| ~ $less(X134,X133) )
& ! [X136: $int,X137: $int,X138: $int] :
( ( X136 = X137 )
| ( 2 != b(X138) )
| ~ $less(b(X136),3)
| ( X136 = X138 )
| ( X137 = X138 )
| ( 2 != a(X137) )
| ( 8 != a(X138) )
| ( 10 != a(X136) )
| ~ $less(X136,X137) )
& ! [X139: $int,X140: $int,X141: $int,X142: $int] :
( ~ $less(b(X142),3)
| ( X140 = X141 )
| ( 5 != b(X139) )
| ( X141 = X142 )
| ( 10 != a(X142) )
| ( X139 = X142 )
| ( X140 = X142 )
| ( X139 = X140 )
| ( 5 != a(X140) )
| ( 2 != a(X141) )
| ( X139 = X141 )
| ~ $less(X142,X140) )
& ! [X143: $int,X144: $int,X145: $int] :
( ( X143 = X144 )
| ~ $less(b(X143),3)
| ( 5 != b(X144) )
| ( X143 = X145 )
| ( 6 != a(X144) )
| ( 7 != a(X145) )
| ( 10 != a(X143) )
| ( X144 = X145 )
| ~ $less(X143,X144) )
& ! [X146: $int,X147: $int,X148: $int] :
( ( X147 = X148 )
| ( 10 != a(X147) )
| ( 1 != a(X148) )
| ( X146 = X148 )
| ~ $less(X147,X148)
| ( 2 != b(X146) )
| ( X146 = X147 )
| ( 8 != a(X146) )
| ~ $less(b(X147),3) )
& ! [X149: $int,X150: $int,X151: $int] :
( ~ $less(X149,X150)
| ( 5 != b(X151) )
| ( X150 = X151 )
| ( 4 != a(X150) )
| ( 2 != b(X149) )
| ( X149 = X150 )
| ( X149 = X151 )
| ( 10 != a(X149) ) )
& ! [X152: $int,X153: $int,X154: $int] :
( ( X153 = X154 )
| ~ $less(X152,X153)
| ( 8 != a(X154) )
| ( X152 = X154 )
| ( 2 != b(X154) )
| ~ $less(b(X152),3)
| ( X152 = X153 )
| ( 5 != a(X153) )
| ( 10 != a(X152) ) )
& ! [X155: $int,X156: $int,X157: $int] :
( ( 8 != a(X155) )
| ~ $less(X157,X156)
| ( X155 = X157 )
| ( 2 != b(X155) )
| ( X155 = X156 )
| ( 10 != a(X157) )
| ( X156 = X157 )
| ~ $less(b(X157),3)
| ( 12 != a(X156) ) )
& $less(z2,z1)
& ( z3 != z4 )
& ( z1 != z2 )
& ! [X158: $int,X159: $int,X160: $int,X161: $int] :
( ( X159 = X160 )
| ~ $less(b(X160),3)
| ( 10 != a(X160) )
| ( 7 != a(X158) )
| ( X158 = X160 )
| ~ $less(X160,X161)
| ( X158 = X159 )
| ( X158 = X161 )
| ( 2 != b(X158) )
| ( 1 != a(X161) )
| ( X159 = X161 )
| ( 5 != b(X159) )
| ( X160 = X161 ) )
& ( z2 != z4 )
& ! [X162: $int,X163: $int,X164: $int] :
( ( 5 != a(X163) )
| ( 5 != b(X163) )
| ( X162 = X164 )
| ( 10 != a(X164) )
| ( X162 = X163 )
| ( X163 = X164 )
| ~ $less(X164,X163)
| ( 2 != b(X164) )
| ( 5 != a(X162) ) )
& ! [X165: $int,X166: $int,X167: $int] :
( ( 5 != b(X167) )
| ( X166 = X167 )
| ( X165 = X167 )
| ~ $less(X166,X167)
| ( 7 != a(X165) )
| ( 1 != a(X167) )
| ( 10 != a(X166) )
| ~ $less(b(X166),3)
| ( 2 != b(X165) )
| ( X165 = X166 ) )
& ! [X168: $int,X169: $int,X170: $int] :
( ( X168 = X170 )
| ( 2 != b(X170) )
| ( 10 != a(X170) )
| ( X169 = X170 )
| ( 4 != a(X168) )
| ( 5 != b(X168) )
| ( 5 != a(X169) )
| ( X168 = X169 )
| ~ $less(X170,X168) )
& ! [X171: $int,X172: $int,X173: $int,X174: $int] :
( ( 5 != b(X171) )
| ~ $less(b(X172),3)
| ( X171 = X173 )
| ~ $less(X172,X171)
| ( X171 = X174 )
| ( X171 = X172 )
| ( X173 = X174 )
| ( X172 = X173 )
| ( X172 = X174 )
| ( 5 != a(X171) )
| ( 7 != a(X174) )
| ( 2 != b(X173) )
| ( 10 != a(X172) ) )
& ! [X175: $int,X176: $int,X177: $int] :
( ~ $less(X176,X177)
| ( 1 != a(X177) )
| ( X175 = X176 )
| ( 5 != b(X177) )
| ( 2 != b(X176) )
| ( X176 = X177 )
| ( 6 != a(X175) )
| ( 10 != a(X176) )
| ( X175 = X177 ) )
& ! [X178: $int,X179: $int,X180: $int] :
( ( X179 = X180 )
| ( X178 = X179 )
| ( 10 != a(X180) )
| ( X178 = X180 )
| ( 3 != a(X178) )
| ~ $less(b(X180),3)
| ~ $less(X180,X178)
| ( 2 != b(X179) )
| ~ $less(b(X178),4)
| ( 8 != a(X179) ) )
& ! [X181: $int,X182: $int,X183: $int] :
( ( X181 = X183 )
| ( 10 != a(X181) )
| ( X181 = X182 )
| ( X182 = X183 )
| ( 4 != a(X183) )
| ( 7 != a(X182) )
| ~ $less(X181,X183)
| ( 5 != b(X183) )
| ( 2 != b(X181) ) )
& ! [X184: $int,X185: $int,X186: $int,X187: $int] :
( ( X184 = X185 )
| ( X184 = X186 )
| ( X184 = X187 )
| ( 10 != a(X185) )
| ~ $less(b(X185),3)
| ( X186 = X187 )
| ( 5 != a(X184) )
| ~ $less(X185,X187)
| ( 5 != b(X187) )
| ( X185 = X187 )
| ( 2 != b(X186) )
| ( X185 = X186 )
| ( 5 != a(X187) )
| ( 2 != b(X184) ) )
& ! [X188: $int,X189: $int,X190: $int] :
( ( 5 != b(X190) )
| ( X188 = X190 )
| ( X188 = X189 )
| ( 2 != b(X188) )
| ( 5 != a(X189) )
| ( 1 != a(X190) )
| ~ $less(X188,X190)
| ( X189 = X190 )
| ( 10 != a(X188) ) )
& ! [X191: $int,X192: $int,X193: $int] :
( ( 10 != a(X192) )
| ( 4 != a(X191) )
| ( X191 = X193 )
| ( 2 != b(X192) )
| ( 5 != b(X191) )
| ( X191 = X192 )
| ~ $less(X192,X191)
| ( X192 = X193 )
| ( 4 != a(X193) ) )
& ! [X194: $int,X195: $int,X196: $int,X197: $int] :
( ~ $less(b(X196),3)
| ( X194 = X195 )
| ( X194 = X196 )
| ( 2 != b(X195) )
| ( 5 != a(X194) )
| ( 7 != a(X197) )
| ( X195 = X197 )
| ( X196 = X197 )
| ( 5 != b(X197) )
| ( X194 = X197 )
| ~ $less(X196,X197)
| ( 10 != a(X196) )
| ( X195 = X196 ) )
& ! [X198: $int,X199: $int,X200: $int,X201: $int] :
( ( 10 != a(X200) )
| ( X198 = X201 )
| ~ $less(b(X201),4)
| ( X198 = X200 )
| ( 5 != b(X199) )
| ~ $less(X200,X198)
| ( 7 != a(X201) )
| ( 2 != a(X198) )
| ( 2 != b(X200) )
| ( X199 = X201 )
| ( X200 = X201 )
| ( X199 = X200 )
| ( X198 = X199 ) )
& ! [X202: $int,X203: $int] :
( ( X202 = X203 )
| ( 10 != a(X202) )
| ( 10 != a(X203) ) )
& ( z2 != z5 )
& ! [X204: $int,X205: $int,X206: $int] :
( ~ $less(b(X206),3)
| ( 5 != b(X204) )
| ( 7 != a(X205) )
| ( X205 = X206 )
| ~ $less(X206,X204)
| ( X204 = X205 )
| ( 5 != a(X204) )
| ( X204 = X206 )
| ( 2 != b(X205) )
| ( 10 != a(X206) ) )
& ! [X207: $int] :
( ~ $less(5,b(X207))
& ~ $less(b(X207),1) )
& ! [X208: $int,X209: $int,X210: $int] :
( ( 2 != b(X210) )
| ( 5 != b(X209) )
| ( X209 = X210 )
| ( 10 != a(X210) )
| ~ $less(X210,X209)
| ( 4 != a(X208) )
| ( 1 != a(X209) )
| ( X208 = X209 )
| ( X208 = X210 ) )
& ! [X211: $int,X212: $int,X213: $int] :
( ( X212 = X213 )
| ( 8 != a(X212) )
| ~ $less(b(X213),4)
| ( 2 != b(X211) )
| ( 10 != a(X211) )
| ( X211 = X213 )
| ~ $less(b(X212),4)
| ( X211 = X212 )
| ~ $less(X211,X213)
| ( 3 != a(X213) ) )
& ( z1 != z3 )
& ! [X214: $int,X215: $int,X216: $int] :
( ( X214 = X216 )
| ~ $less(X216,X215)
| ( 5 != b(X215) )
| ( 4 != a(X214) )
| ( 10 != a(X216) )
| ( 2 != a(X215) )
| ( X214 = X215 )
| ( 2 != b(X216) )
| ( X215 = X216 ) )
& ! [X217: $int,X218: $int,X219: $int] :
( ~ $less(b(X217),3)
| ( 7 != a(X218) )
| ( 5 != b(X219) )
| ( X218 = X219 )
| ( X217 = X218 )
| ~ $less(X217,X218)
| ( X217 = X219 )
| ( 10 != a(X217) ) )
& ! [X220: $int,X221: $int,X222: $int] :
( ( X221 = X222 )
| ~ $less(X220,X221)
| ( X220 = X222 )
| ( X220 = X221 )
| ( 5 != b(X221) )
| ( 4 != a(X222) )
| ( 7 != a(X221) )
| ( 10 != a(X220) )
| ( 2 != b(X220) ) )
& ! [X223: $int,X224: $int,X225: $int] :
( ( 2 != b(X224) )
| ~ $less(X224,X225)
| ( 5 != a(X225) )
| ( X223 = X225 )
| ( 5 != b(X223) )
| ( X223 = X224 )
| ( 10 != a(X224) )
| ( X224 = X225 ) )
& ! [X226: $int,X227: $int,X228: $int] :
( ( X226 = X227 )
| ( 2 != b(X226) )
| ( 2 != a(X228) )
| ( 8 != a(X227) )
| ( 10 != a(X226) )
| ( X226 = X228 )
| ( X227 = X228 )
| ~ $less(b(X227),4)
| ~ $less(X226,X228) )
& ! [X229: $int,X230: $int,X231: $int] :
( ~ $less(X230,X229)
| ( X229 = X230 )
| ( 10 != a(X230) )
| ( X230 = X231 )
| ~ $less(b(X231),4)
| ( X229 = X231 )
| ( 2 != b(X230) )
| ( 7 != a(X231) )
| ( 5 != b(X229) )
| ( 12 != a(X229) ) )
& ( z1 != z4 )
& ! [X232: $int,X233: $int,X234: $int,X235: $int] :
( ( 10 != a(X235) )
| ( X232 = X233 )
| ( X232 = X235 )
| ( 2 != b(X233) )
| ~ $less(X235,X234)
| ( 2 != a(X234) )
| ( 7 != a(X233) )
| ( X232 = X234 )
| ( X233 = X234 )
| ( X234 = X235 )
| ( 5 != b(X232) )
| ~ $less(b(X235),3)
| ( X233 = X235 ) ) ),
inference(rectify,[],[f7]) ).
tff(f10,plain,
z1 != z4,
inference(cnf_transformation,[],[f8]) ).
tff(f22,plain,
! [X205: $int,X206: $int,X204: $int] :
( ~ $less(b(X206),3)
| ( X205 = X206 )
| ( 10 != a(X206) )
| ( X204 = X206 )
| ( 5 != b(X204) )
| ~ $less(X206,X204)
| ( 5 != a(X204) )
| ( X204 = X205 )
| ( 7 != a(X205) )
| ( 2 != b(X205) ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f37,plain,
z2 != z4,
inference(cnf_transformation,[],[f8]) ).
tff(f39,plain,
z1 != z2,
inference(cnf_transformation,[],[f8]) ).
tff(f41,plain,
$less(z2,z1),
inference(cnf_transformation,[],[f8]) ).
tff(f67,plain,
2 = b(z4),
inference(cnf_transformation,[],[f8]) ).
tff(f74,plain,
5 = a(z1),
inference(cnf_transformation,[],[f8]) ).
tff(f79,plain,
5 = b(z1),
inference(cnf_transformation,[],[f8]) ).
tff(f85,plain,
7 = a(z4),
inference(cnf_transformation,[],[f8]) ).
tff(f95,plain,
$less(b(z2),3),
inference(cnf_transformation,[],[f8]) ).
tff(f97,plain,
10 = a(z2),
inference(cnf_transformation,[],[f8]) ).
tff(f104,definition,
sF0 = a(z2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f105,plain,
a(z2) = sF0,
inference(reorient_equations,[],[f104]) ).
tff(f106,plain,
10 = sF0,
inference(definition_folding,[],[f97,f105]) ).
tff(f107,definition,
sF1 = b(z2),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f108,plain,
b(z2) = sF1,
inference(reorient_equations,[],[f107]) ).
tff(f109,plain,
$less(sF1,3),
inference(definition_folding,[],[f95,f108]) ).
tff(f110,definition,
sF2 = a(z4),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f111,plain,
a(z4) = sF2,
inference(reorient_equations,[],[f110]) ).
tff(f112,plain,
7 = sF2,
inference(definition_folding,[],[f85,f111]) ).
tff(f113,definition,
sF3 = b(z1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
tff(f114,plain,
b(z1) = sF3,
inference(reorient_equations,[],[f113]) ).
tff(f115,plain,
5 = sF3,
inference(definition_folding,[],[f79,f114]) ).
tff(f116,definition,
sF4 = a(z1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
tff(f117,plain,
a(z1) = sF4,
inference(reorient_equations,[],[f116]) ).
tff(f118,plain,
5 = sF4,
inference(definition_folding,[],[f74,f117]) ).
tff(f119,definition,
sF5 = b(z4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
tff(f120,plain,
b(z4) = sF5,
inference(reorient_equations,[],[f119]) ).
tff(f121,plain,
2 = sF5,
inference(definition_folding,[],[f67,f120]) ).
tff(f126,definition,
( spl7_1
<=> ( 2 = sF5 ) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
tff(f128,plain,
( ( 2 = sF5 )
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f126]) ).
tff(f129,plain,
spl7_1,
inference(avatar_split_clause,[],[f121,f126]) ).
tff(f131,definition,
( spl7_2
<=> ( a(z2) = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
tff(f133,plain,
( ( a(z2) = sF0 )
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f131]) ).
tff(f134,plain,
spl7_2,
inference(avatar_split_clause,[],[f105,f131]) ).
tff(f136,definition,
( spl7_3
<=> ( 10 = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
tff(f138,plain,
( ( 10 = sF0 )
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f136]) ).
tff(f139,plain,
spl7_3,
inference(avatar_split_clause,[],[f106,f136]) ).
tff(f151,definition,
( spl7_6
<=> ( 5 = sF4 ) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
tff(f153,plain,
( ( 5 = sF4 )
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f151]) ).
tff(f154,plain,
spl7_6,
inference(avatar_split_clause,[],[f118,f151]) ).
tff(f156,definition,
( spl7_7
<=> ( z1 = z4 ) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
tff(f158,plain,
( ( z1 != z4 )
| spl7_7 ),
inference(avatar_component_clause,[],[f156]) ).
tff(f159,plain,
~ spl7_7,
inference(avatar_split_clause,[],[f10,f156]) ).
tff(f161,definition,
( spl7_8
<=> ( b(z1) = sF3 ) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
tff(f163,plain,
( ( b(z1) = sF3 )
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f161]) ).
tff(f164,plain,
spl7_8,
inference(avatar_split_clause,[],[f114,f161]) ).
tff(f171,definition,
( spl7_10
<=> ( 5 = sF3 ) ),
introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition]) ).
tff(f173,plain,
( ( 5 = sF3 )
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f171]) ).
tff(f174,plain,
spl7_10,
inference(avatar_split_clause,[],[f115,f171]) ).
tff(f186,definition,
( spl7_13
<=> ( z1 = z2 ) ),
introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition]) ).
tff(f188,plain,
( ( z1 != z2 )
| spl7_13 ),
inference(avatar_component_clause,[],[f186]) ).
tff(f189,plain,
~ spl7_13,
inference(avatar_split_clause,[],[f39,f186]) ).
tff(f201,definition,
( spl7_16
<=> ( 7 = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl7_16])],[avatar_definition]) ).
tff(f203,plain,
( ( 7 = sF2 )
| ~ spl7_16 ),
inference(avatar_component_clause,[],[f201]) ).
tff(f204,plain,
spl7_16,
inference(avatar_split_clause,[],[f112,f201]) ).
tff(f206,definition,
( spl7_17
<=> ( b(z4) = sF5 ) ),
introduced(definition,[new_symbols(definition,[spl7_17])],[avatar_definition]) ).
tff(f208,plain,
( ( b(z4) = sF5 )
| ~ spl7_17 ),
inference(avatar_component_clause,[],[f206]) ).
tff(f209,plain,
spl7_17,
inference(avatar_split_clause,[],[f120,f206]) ).
tff(f211,definition,
( spl7_18
<=> ( a(z4) = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl7_18])],[avatar_definition]) ).
tff(f213,plain,
( ( a(z4) = sF2 )
| ~ spl7_18 ),
inference(avatar_component_clause,[],[f211]) ).
tff(f214,plain,
spl7_18,
inference(avatar_split_clause,[],[f111,f211]) ).
tff(f216,definition,
( spl7_19
<=> ( a(z1) = sF4 ) ),
introduced(definition,[new_symbols(definition,[spl7_19])],[avatar_definition]) ).
tff(f218,plain,
( ( a(z1) = sF4 )
| ~ spl7_19 ),
inference(avatar_component_clause,[],[f216]) ).
tff(f219,plain,
spl7_19,
inference(avatar_split_clause,[],[f117,f216]) ).
tff(f221,definition,
( spl7_20
<=> ( z2 = z4 ) ),
introduced(definition,[new_symbols(definition,[spl7_20])],[avatar_definition]) ).
tff(f223,plain,
( ( z2 != z4 )
| spl7_20 ),
inference(avatar_component_clause,[],[f221]) ).
tff(f224,plain,
~ spl7_20,
inference(avatar_split_clause,[],[f37,f221]) ).
tff(f231,definition,
( spl7_22
<=> $less(sF1,3) ),
introduced(definition,[new_symbols(definition,[spl7_22])],[avatar_definition]) ).
tff(f233,plain,
( $less(sF1,3)
| ~ spl7_22 ),
inference(avatar_component_clause,[],[f231]) ).
tff(f234,plain,
spl7_22,
inference(avatar_split_clause,[],[f109,f231]) ).
tff(f236,definition,
( spl7_23
<=> ( b(z2) = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl7_23])],[avatar_definition]) ).
tff(f238,plain,
( ( b(z2) = sF1 )
| ~ spl7_23 ),
inference(avatar_component_clause,[],[f236]) ).
tff(f239,plain,
spl7_23,
inference(avatar_split_clause,[],[f108,f236]) ).
tff(f246,definition,
( spl7_25
<=> $less(z2,z1) ),
introduced(definition,[new_symbols(definition,[spl7_25])],[avatar_definition]) ).
tff(f248,plain,
( $less(z2,z1)
| ~ spl7_25 ),
inference(avatar_component_clause,[],[f246]) ).
tff(f249,plain,
spl7_25,
inference(avatar_split_clause,[],[f41,f246]) ).
tff(f250,plain,
( ( 10 = a(z2) )
| ~ spl7_2
| ~ spl7_3 ),
inference(forward_demodulation,[],[f133,f138]) ).
tff(f252,definition,
( spl7_26
<=> ( 10 = a(z2) ) ),
introduced(definition,[new_symbols(definition,[spl7_26])],[avatar_definition]) ).
tff(f254,plain,
( ( 10 = a(z2) )
| ~ spl7_26 ),
inference(avatar_component_clause,[],[f252]) ).
tff(f255,plain,
( spl7_26
| ~ spl7_2
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f250,f136,f131,f252]) ).
tff(f272,plain,
( ( 5 = b(z1) )
| ~ spl7_8
| ~ spl7_10 ),
inference(forward_demodulation,[],[f163,f173]) ).
tff(f274,definition,
( spl7_27
<=> ( 5 = b(z1) ) ),
introduced(definition,[new_symbols(definition,[spl7_27])],[avatar_definition]) ).
tff(f276,plain,
( ( 5 = b(z1) )
| ~ spl7_27 ),
inference(avatar_component_clause,[],[f274]) ).
tff(f277,plain,
( spl7_27
| ~ spl7_8
| ~ spl7_10 ),
inference(avatar_split_clause,[],[f272,f171,f161,f274]) ).
tff(f372,plain,
( ( 2 = b(z4) )
| ~ spl7_1
| ~ spl7_17 ),
inference(forward_demodulation,[],[f208,f128]) ).
tff(f374,definition,
( spl7_29
<=> ( 2 = b(z4) ) ),
introduced(definition,[new_symbols(definition,[spl7_29])],[avatar_definition]) ).
tff(f376,plain,
( ( 2 = b(z4) )
| ~ spl7_29 ),
inference(avatar_component_clause,[],[f374]) ).
tff(f377,plain,
( spl7_29
| ~ spl7_1
| ~ spl7_17 ),
inference(avatar_split_clause,[],[f372,f206,f126,f374]) ).
tff(f501,definition,
( spl7_39
<=> ( 7 = a(z4) ) ),
introduced(definition,[new_symbols(definition,[spl7_39])],[avatar_definition]) ).
tff(f502,plain,
( ( 7 = a(z4) )
| ~ spl7_39 ),
inference(avatar_component_clause,[],[f501]) ).
tff(f648,plain,
( ( 7 = a(z4) )
| ~ spl7_16
| ~ spl7_18 ),
inference(forward_demodulation,[],[f213,f203]) ).
tff(f649,plain,
( spl7_39
| ~ spl7_16
| ~ spl7_18 ),
inference(avatar_split_clause,[],[f648,f211,f201,f501]) ).
tff(f650,plain,
( ( 5 = a(z1) )
| ~ spl7_6
| ~ spl7_19 ),
inference(forward_demodulation,[],[f218,f153]) ).
tff(f652,definition,
( spl7_76
<=> ( 5 = a(z1) ) ),
introduced(definition,[new_symbols(definition,[spl7_76])],[avatar_definition]) ).
tff(f654,plain,
( ( 5 = a(z1) )
| ~ spl7_76 ),
inference(avatar_component_clause,[],[f652]) ).
tff(f655,plain,
( spl7_76
| ~ spl7_6
| ~ spl7_19 ),
inference(avatar_split_clause,[],[f650,f216,f151,f652]) ).
tff(f671,plain,
( $less(b(z2),3)
| ~ spl7_22
| ~ spl7_23 ),
inference(superposition,[],[f233,f238]) ).
tff(f673,definition,
( spl7_77
<=> $less(b(z2),3) ),
introduced(definition,[new_symbols(definition,[spl7_77])],[avatar_definition]) ).
tff(f675,plain,
( $less(b(z2),3)
| ~ spl7_77 ),
inference(avatar_component_clause,[],[f673]) ).
tff(f676,plain,
( spl7_77
| ~ spl7_22
| ~ spl7_23 ),
inference(avatar_split_clause,[],[f671,f236,f231,f673]) ).
tff(f708,plain,
( ! [X0: $int,X1: $int] :
( ( 5 != a(X1) )
| ( z2 = X0 )
| ( X0 = X1 )
| ~ $less(z2,X1)
| ( a(X0) != 7 )
| ( 5 != b(X1) )
| ( z2 = X1 )
| ( b(X0) != 2 )
| ( 10 != a(z2) ) )
| ~ spl7_77 ),
inference(resolution,[],[f675,f22]) ).
tff(f733,plain,
( ! [X0: $int,X1: $int] :
( ( 5 != b(X1) )
| ( 5 != a(X1) )
| ( z2 = X0 )
| ( a(X0) != 7 )
| ( X0 = X1 )
| ( z2 = X1 )
| ( b(X0) != 2 )
| ~ $less(z2,X1) )
| ~ spl7_26
| ~ spl7_77 ),
inference(forward_subsumption_resolution,[],[f708,f254]) ).
tff(f1011,plain,
( ! [X0: $int] :
( ( b(X0) != 2 )
| ( 5 != a(z1) )
| ~ $less(z2,z1)
| ( z2 = X0 )
| ( z1 = X0 )
| ( a(X0) != 7 )
| ( 5 != 5 )
| ( z1 = z2 ) )
| ~ spl7_26
| ~ spl7_27
| ~ spl7_77 ),
inference(superposition,[],[f733,f276]) ).
tff(f1014,plain,
( ! [X0: $int] :
( ( a(X0) != 7 )
| ( z1 = z2 )
| ( 5 != a(z1) )
| ( z2 = X0 )
| ( b(X0) != 2 )
| ~ $less(z2,z1)
| ( z1 = X0 ) )
| ~ spl7_26
| ~ spl7_27
| ~ spl7_77 ),
inference(trivial_inequality_removal,[],[f1011]) ).
tff(f1016,plain,
( ! [X0: $int] :
( ( z2 = X0 )
| ( z1 = X0 )
| ( 5 != a(z1) )
| ( b(X0) != 2 )
| ~ $less(z2,z1)
| ( a(X0) != 7 ) )
| spl7_13
| ~ spl7_26
| ~ spl7_27
| ~ spl7_77 ),
inference(forward_subsumption_resolution,[],[f1014,f188]) ).
tff(f1018,plain,
( ! [X0: $int] :
( ( a(X0) != 7 )
| ( z2 = X0 )
| ~ $less(z2,z1)
| ( b(X0) != 2 )
| ( z1 = X0 ) )
| spl7_13
| ~ spl7_26
| ~ spl7_27
| ~ spl7_76
| ~ spl7_77 ),
inference(forward_subsumption_resolution,[],[f1016,f654]) ).
tff(f1027,plain,
( ! [X0: $int] :
( ( b(X0) != 2 )
| ( z2 = X0 )
| ( a(X0) != 7 )
| ( z1 = X0 ) )
| spl7_13
| ~ spl7_25
| ~ spl7_26
| ~ spl7_27
| ~ spl7_76
| ~ spl7_77 ),
inference(forward_subsumption_resolution,[],[f1018,f248]) ).
tff(f1037,plain,
( ( 7 != a(z4) )
| ( z1 = z4 )
| ( 2 != 2 )
| ( z2 = z4 )
| spl7_13
| ~ spl7_25
| ~ spl7_26
| ~ spl7_27
| ~ spl7_29
| ~ spl7_76
| ~ spl7_77 ),
inference(superposition,[],[f1027,f376]) ).
tff(f1038,plain,
( ( 7 != a(z4) )
| ( z1 = z4 )
| ( z2 = z4 )
| spl7_13
| ~ spl7_25
| ~ spl7_26
| ~ spl7_27
| ~ spl7_29
| ~ spl7_76
| ~ spl7_77 ),
inference(trivial_inequality_removal,[],[f1037]) ).
tff(f1039,plain,
( ( z1 = z4 )
| ( z2 = z4 )
| spl7_13
| ~ spl7_25
| ~ spl7_26
| ~ spl7_27
| ~ spl7_29
| ~ spl7_39
| ~ spl7_76
| ~ spl7_77 ),
inference(forward_subsumption_resolution,[],[f1038,f502]) ).
tff(f1040,plain,
( ( z2 = z4 )
| spl7_7
| spl7_13
| ~ spl7_25
| ~ spl7_26
| ~ spl7_27
| ~ spl7_29
| ~ spl7_39
| ~ spl7_76
| ~ spl7_77 ),
inference(forward_subsumption_resolution,[],[f1039,f158]) ).
tff(f1041,plain,
( $false
| spl7_7
| spl7_13
| spl7_20
| ~ spl7_25
| ~ spl7_26
| ~ spl7_27
| ~ spl7_29
| ~ spl7_39
| ~ spl7_76
| ~ spl7_77 ),
inference(forward_subsumption_resolution,[],[f1040,f223]) ).
tff(f1042,plain,
( spl7_7
| spl7_13
| spl7_20
| ~ spl7_25
| ~ spl7_26
| ~ spl7_27
| ~ spl7_29
| ~ spl7_39
| ~ spl7_76
| ~ spl7_77 ),
inference(avatar_contradiction_clause,[],[f1041]) ).
tff(f1043,plain,
$false,
inference(avatar_smt_refutation,[],[f1042,f676,f655,f649,f377,f277,f255,f249,f239,f234,f224,f219,f214,f209,f204,f189,f174,f164,f159,f154,f139,f134,f129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV998_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n003.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 13:08:57 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.15/0.95 % (1568101)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.15/0.95 % (1568112)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2356521327:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.15/0.95 % (1568112)Instruction limit reached!
% 3.15/0.95 % (1568112)------------------------------
% 3.15/0.95 % (1568112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/0.95 % (1568112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.95 % (1568112)CaDiCaL version: 2.1.3
% 3.15/0.95 % (1568112)Termination reason: Instruction limit
% 3.15/0.95 % (1568112)Termination phase: Saturation
% 3.15/0.95 % (1568112)Time elapsed: 0.023 s
% 3.15/0.95 % (1568112)Peak memory usage: 113 MB
% 3.15/0.95 % (1568112)Instructions burned: 35 (million)
% 3.15/0.95 % (1568109)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=438384359:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.15/0.95 % (1568107)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4042178140:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.15/0.95 % (1568111)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3625224193:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.15/0.95 % (1568110)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4226849486:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.15/0.95 % (1568108)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2911777163:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.15/0.95 % (1568106)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=714315515:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.15/0.95 % (1568110)Instruction limit reached!
% 3.15/0.95 % (1568110)------------------------------
% 3.15/0.95 % (1568110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/0.95 % (1568110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.95 % (1568110)CaDiCaL version: 2.1.3
% 3.15/0.95 % (1568110)Termination reason: Instruction limit
% 3.15/0.95 % (1568110)Termination phase: Preprocessing 1
% 3.15/0.95 % (1568110)Time elapsed: 0.002 s
% 3.15/0.95 % (1568110)Peak memory usage: 85 MB
% 3.15/0.95 % (1568110)Instructions burned: 4 (million)
% 3.15/0.95 % (1568109)Instruction limit reached!
% 3.15/0.95 % (1568109)------------------------------
% 3.15/0.95 % (1568109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/0.95 % (1568109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.95 % (1568109)CaDiCaL version: 2.1.3
% 3.15/0.95 % (1568109)Termination reason: Instruction limit
% 3.15/0.95 % (1568109)Termination phase: Preprocessing 3
% 3.15/0.95 % (1568109)Time elapsed: 0.004 s
% 3.15/0.95 % (1568109)Peak memory usage: 86 MB
% 3.15/0.95 % (1568109)Instructions burned: 8 (million)
% 3.15/0.95 % (1568106)Instruction limit reached!
% 3.15/0.95 % (1568106)------------------------------
% 3.15/0.95 % (1568106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/0.95 % (1568106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.95 % (1568106)CaDiCaL version: 2.1.3
% 3.15/0.95 % (1568106)Termination reason: Instruction limit
% 3.15/0.95 % (1568106)Termination phase: Saturation
% 3.15/0.95 % (1568106)Time elapsed: 0.006 s
% 3.15/0.95 % (1568106)Peak memory usage: 86 MB
% 3.15/0.95 % (1568106)Instructions burned: 13 (million)
% 3.15/0.95 % (1568111)Instruction limit reached!
% 3.15/0.95 % (1568111)------------------------------
% 3.15/0.95 % (1568111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/0.95 % (1568111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.95 % (1568111)CaDiCaL version: 2.1.3
% 3.15/0.95 % (1568111)Termination reason: Instruction limit
% 3.15/0.95 % (1568111)Termination phase: Saturation
% 3.15/0.95 % (1568111)Time elapsed: 0.049 s
% 3.15/0.95 % (1568111)Peak memory usage: 116 MB
% 3.15/0.95 % (1568111)Instructions burned: 46 (million)
% 3.15/0.95 % (1568107)First to succeed.
% 3.15/0.95 % (1568108)Also succeeded, but the first one will report.
% 3.15/0.95 % (1568107)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1568101"
% 3.15/0.95 % (1568114)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3209588001:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.15/0.95 % (1568123)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4213323377:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 3.15/0.95 % (1568122)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2227706485:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.15/0.95 % (1568121)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=1996938205:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.15/0.95 % (1568114)Instruction limit reached!
% 3.15/0.95 % (1568114)------------------------------
% 3.15/0.95 % (1568114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/0.95 % (1568114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.95 % (1568114)CaDiCaL version: 2.1.3
% 3.15/0.95 % (1568114)Termination reason: Instruction limit
% 3.15/0.95 % (1568114)Termination phase: Saturation
% 3.15/0.95 % (1568114)Time elapsed: 0.005 s
% 3.15/0.95 % (1568114)Peak memory usage: 89 MB
% 3.15/0.95 % (1568114)Instructions burned: 16 (million)
% 3.15/0.95 % (1568122)Instruction limit reached!
% 3.15/0.95 % (1568122)------------------------------
% 3.15/0.95 % (1568122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/0.95 % (1568122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.95 % (1568122)CaDiCaL version: 2.1.3
% 3.15/0.95 % (1568122)Termination reason: Instruction limit
% 3.15/0.95 % (1568122)Termination phase: Saturation
% 3.15/0.95 % (1568122)Time elapsed: 0.009 s
% 3.15/0.95 % (1568122)Peak memory usage: 89 MB
% 3.15/0.95 % (1568122)Instructions burned: 16 (million)
% 3.15/0.95 % (1568123)Instruction limit reached!
% 3.15/0.95 % (1568123)------------------------------
% 3.15/0.95 % (1568123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/0.95 % (1568123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.95 % (1568123)CaDiCaL version: 2.1.3
% 3.15/0.95 % (1568123)Termination reason: Instruction limit
% 3.15/0.95 % (1568123)Termination phase: Saturation
% 3.15/0.95 % (1568123)Time elapsed: 0.014 s
% 3.15/0.95 % (1568123)Peak memory usage: 90 MB
% 3.15/0.95 % (1568123)Instructions burned: 25 (million)
% 3.15/0.95 % (1568121)Instruction limit reached!
% 3.15/0.95 % (1568121)------------------------------
% 3.15/0.95 % (1568121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/0.95 % (1568121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.95 % (1568121)CaDiCaL version: 2.1.3
% 3.15/0.95 % (1568121)Termination reason: Instruction limit
% 3.15/0.95 % (1568121)Termination phase: Saturation
% 3.15/0.95 % (1568121)Time elapsed: 0.016 s
% 3.15/0.95 % (1568121)Peak memory usage: 88 MB
% 3.15/0.95 % (1568121)Instructions burned: 29 (million)
% 3.15/0.95 % (1568124)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=1719692103:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.15/0.95 % (1568124)Instruction limit reached!
% 3.15/0.95 % (1568124)------------------------------
% 3.15/0.95 % (1568124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/0.95 % (1568124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.95 % (1568124)CaDiCaL version: 2.1.3
% 3.15/0.95 % (1568124)Termination reason: Instruction limit
% 3.15/0.95 % (1568124)Termination phase: Saturation
% 3.15/0.95 % (1568124)Time elapsed: 0.015 s
% 3.15/0.95 % (1568124)Peak memory usage: 89 MB
% 3.15/0.95 % (1568124)Instructions burned: 27 (million)
% 3.15/0.95 % (1568130)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2508421144:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 3.15/0.95 % (1568130)Instruction limit reached!
% 3.15/0.95 % (1568130)------------------------------
% 3.15/0.95 % (1568130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/0.95 % (1568130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.95 % (1568130)CaDiCaL version: 2.1.3
% 3.15/0.95 % (1568130)Termination reason: Instruction limit
% 3.15/0.95 % (1568130)Termination phase: Preprocessing 1
% 3.15/0.95 % (1568130)Time elapsed: 0.001 s
% 3.15/0.95 % (1568130)Peak memory usage: 86 MB
% 3.15/0.95 % (1568130)Instructions burned: 4 (million)
% 3.15/0.95 % (1568129)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=353925928:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 3.15/0.95 % (1568132)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1430370834:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 3.15/0.95 % (1568131)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=4847331:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 3.15/0.95 % (1568132)Instruction limit reached!
% 3.15/0.95 % (1568132)------------------------------
% 3.15/0.95 % (1568132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/0.95 % (1568132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.95 % (1568132)CaDiCaL version: 2.1.3
% 3.15/0.95 % (1568132)Termination reason: Instruction limit
% 3.15/0.95 % (1568132)Termination phase: Preprocessing 1
% 3.15/0.95 % (1568132)Time elapsed: 0.002 s
% 3.15/0.95 % (1568132)Peak memory usage: 85 MB
% 3.15/0.95 % (1568132)Instructions burned: 4 (million)
% 3.15/0.95 % (1568129)Also succeeded, but the first one will report.
% 3.15/0.95 % (1568107)Refutation found. Thanks to Tanya!
% 3.15/0.95 % SZS status Theorem for theBenchmark
% 3.15/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 4.07/1.04 % (1568107)------------------------------
% 4.07/1.04 % (1568107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.04 % (1568107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.04 % (1568107)CaDiCaL version: 2.1.3
% 4.07/1.04 % (1568107)Termination reason: Refutation
% 4.07/1.04 % (1568107)Time elapsed: 0.104 s
% 4.07/1.04 % (1568107)Peak memory usage: 117 MB
% 4.07/1.04 % (1568107)Instructions burned: 146 (million)
% 4.07/1.04 % (1568107)------------------------------
% 4.07/1.04 % (1568107)------------------------------
% 4.07/1.04 % (1568101)Success in time 0.527 s
% 4.07/1.04 % Vampire exiting
%------------------------------------------------------------------------------