TSTP Solution File: NUM375+1.020 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM375+1.020 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 11:29:45 EDT 2023
% Result : Unsatisfiable 4.15s 1.19s
% Output : CNFRefutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 1018 (1011 unt; 0 def)
% Number of atoms : 4123 (4122 equ)
% Maximal formula atoms : 1514 ( 4 avg)
% Number of connectives : 4071 ( 966 ~; 240 |;2864 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 721 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 24 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn; 0 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0,X1,X2] :
( n19 != n20
& n18 != n20
& n18 != n19
& n17 != n20
& n17 != n19
& n17 != n18
& n16 != n20
& n16 != n19
& n16 != n18
& n16 != n17
& n15 != n20
& n15 != n19
& n15 != n18
& n15 != n17
& n15 != n16
& n14 != n20
& n14 != n19
& n14 != n18
& n14 != n17
& n14 != n16
& n14 != n15
& n13 != n20
& n13 != n19
& n13 != n18
& n13 != n17
& n13 != n16
& n13 != n15
& n13 != n14
& n12 != n20
& n12 != n19
& n12 != n18
& n12 != n17
& n12 != n16
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n20
& n11 != n19
& n11 != n18
& n11 != n17
& n11 != n16
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n20
& n10 != n19
& n10 != n18
& n10 != n17
& n10 != n16
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n20
& n9 != n19
& n9 != n18
& n9 != n17
& n9 != n16
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n20
& n8 != n19
& n8 != n18
& n8 != n17
& n8 != n16
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n20
& n7 != n19
& n7 != n18
& n7 != n17
& n7 != n16
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n20
& n6 != n19
& n6 != n18
& n6 != n17
& n6 != n16
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n20
& n5 != n19
& n5 != n18
& n5 != n17
& n5 != n16
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n20
& n4 != n19
& n4 != n18
& n4 != n17
& n4 != n16
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n20
& n3 != n19
& n3 != n18
& n3 != n17
& n3 != n16
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n20
& n2 != n19
& n2 != n18
& n2 != n17
& n2 != n16
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n20
& n1 != n19
& n1 != n18
& n1 != n17
& n1 != n16
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n20
& n0 != n19
& n0 != n18
& n0 != n17
& n0 != n16
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& n20 != X2
& n19 != X2
& n18 != X2
& n17 != X2
& n16 != X2
& n15 != X2
& n14 != X2
& n13 != X2
& n12 != X2
& n11 != X2
& n10 != X2
& n9 != X2
& n8 != X2
& n7 != X2
& n6 != X2
& n5 != X2
& n4 != X2
& n3 != X2
& n2 != X2
& n1 != X2
& n0 != X2
& sum(pred(sum(X0,succ(X1))),sum(X1,pred(sum(X0,X1)))) = X2
& ( n20 = X1
| n19 = X1
| n18 = X1
| n17 = X1
| n16 = X1
| n15 = X1
| n14 = X1
| n13 = X1
| n12 = X1
| n11 = X1
| n10 = X1
| n9 = X1
| n8 = X1
| n7 = X1
| n6 = X1
| n5 = X1
| n4 = X1
| n3 = X1
| n2 = X1
| n1 = X1
| n0 = X1 )
& ( n20 = X0
| n19 = X0
| n18 = X0
| n17 = X0
| n16 = X0
| n15 = X0
| n14 = X0
| n13 = X0
| n12 = X0
| n11 = X0
| n10 = X0
| n9 = X0
| n8 = X0
| n7 = X0
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 )
& n19 = sum(n20,n20)
& n18 = sum(n20,n19)
& n17 = sum(n20,n18)
& n16 = sum(n20,n17)
& n15 = sum(n20,n16)
& n14 = sum(n20,n15)
& n13 = sum(n20,n14)
& n12 = sum(n20,n13)
& n11 = sum(n20,n12)
& n10 = sum(n20,n11)
& n9 = sum(n20,n10)
& n8 = sum(n20,n9)
& n7 = sum(n20,n8)
& n6 = sum(n20,n7)
& n5 = sum(n20,n6)
& n4 = sum(n20,n5)
& n3 = sum(n20,n4)
& n2 = sum(n20,n3)
& n1 = sum(n20,n2)
& n0 = sum(n20,n1)
& n20 = sum(n20,n0)
& n18 = sum(n19,n20)
& n17 = sum(n19,n19)
& n16 = sum(n19,n18)
& n15 = sum(n19,n17)
& n14 = sum(n19,n16)
& n13 = sum(n19,n15)
& n12 = sum(n19,n14)
& n11 = sum(n19,n13)
& n10 = sum(n19,n12)
& n9 = sum(n19,n11)
& n8 = sum(n19,n10)
& n7 = sum(n19,n9)
& n6 = sum(n19,n8)
& n5 = sum(n19,n7)
& n4 = sum(n19,n6)
& n3 = sum(n19,n5)
& n2 = sum(n19,n4)
& n1 = sum(n19,n3)
& n0 = sum(n19,n2)
& n20 = sum(n19,n1)
& n19 = sum(n19,n0)
& n17 = sum(n18,n20)
& n16 = sum(n18,n19)
& n15 = sum(n18,n18)
& n14 = sum(n18,n17)
& n13 = sum(n18,n16)
& n12 = sum(n18,n15)
& n11 = sum(n18,n14)
& n10 = sum(n18,n13)
& n9 = sum(n18,n12)
& n8 = sum(n18,n11)
& n7 = sum(n18,n10)
& n6 = sum(n18,n9)
& n5 = sum(n18,n8)
& n4 = sum(n18,n7)
& n3 = sum(n18,n6)
& n2 = sum(n18,n5)
& n1 = sum(n18,n4)
& n0 = sum(n18,n3)
& n20 = sum(n18,n2)
& n19 = sum(n18,n1)
& n18 = sum(n18,n0)
& n16 = sum(n17,n20)
& n15 = sum(n17,n19)
& n14 = sum(n17,n18)
& n13 = sum(n17,n17)
& n12 = sum(n17,n16)
& n11 = sum(n17,n15)
& n10 = sum(n17,n14)
& n9 = sum(n17,n13)
& n8 = sum(n17,n12)
& n7 = sum(n17,n11)
& n6 = sum(n17,n10)
& n5 = sum(n17,n9)
& n4 = sum(n17,n8)
& n3 = sum(n17,n7)
& n2 = sum(n17,n6)
& n1 = sum(n17,n5)
& n0 = sum(n17,n4)
& n20 = sum(n17,n3)
& n19 = sum(n17,n2)
& n18 = sum(n17,n1)
& n17 = sum(n17,n0)
& n15 = sum(n16,n20)
& n14 = sum(n16,n19)
& n13 = sum(n16,n18)
& n12 = sum(n16,n17)
& n11 = sum(n16,n16)
& n10 = sum(n16,n15)
& n9 = sum(n16,n14)
& n8 = sum(n16,n13)
& n7 = sum(n16,n12)
& n6 = sum(n16,n11)
& n5 = sum(n16,n10)
& n4 = sum(n16,n9)
& n3 = sum(n16,n8)
& n2 = sum(n16,n7)
& n1 = sum(n16,n6)
& n0 = sum(n16,n5)
& n20 = sum(n16,n4)
& n19 = sum(n16,n3)
& n18 = sum(n16,n2)
& n17 = sum(n16,n1)
& n16 = sum(n16,n0)
& n14 = sum(n15,n20)
& n13 = sum(n15,n19)
& n12 = sum(n15,n18)
& n11 = sum(n15,n17)
& n10 = sum(n15,n16)
& n9 = sum(n15,n15)
& n8 = sum(n15,n14)
& n7 = sum(n15,n13)
& n6 = sum(n15,n12)
& n5 = sum(n15,n11)
& n4 = sum(n15,n10)
& n3 = sum(n15,n9)
& n2 = sum(n15,n8)
& n1 = sum(n15,n7)
& n0 = sum(n15,n6)
& n20 = sum(n15,n5)
& n19 = sum(n15,n4)
& n18 = sum(n15,n3)
& n17 = sum(n15,n2)
& n16 = sum(n15,n1)
& n15 = sum(n15,n0)
& n13 = sum(n14,n20)
& n12 = sum(n14,n19)
& n11 = sum(n14,n18)
& n10 = sum(n14,n17)
& n9 = sum(n14,n16)
& n8 = sum(n14,n15)
& n7 = sum(n14,n14)
& n6 = sum(n14,n13)
& n5 = sum(n14,n12)
& n4 = sum(n14,n11)
& n3 = sum(n14,n10)
& n2 = sum(n14,n9)
& n1 = sum(n14,n8)
& n0 = sum(n14,n7)
& n20 = sum(n14,n6)
& n19 = sum(n14,n5)
& n18 = sum(n14,n4)
& n17 = sum(n14,n3)
& n16 = sum(n14,n2)
& n15 = sum(n14,n1)
& n14 = sum(n14,n0)
& n12 = sum(n13,n20)
& n11 = sum(n13,n19)
& n10 = sum(n13,n18)
& n9 = sum(n13,n17)
& n8 = sum(n13,n16)
& n7 = sum(n13,n15)
& n6 = sum(n13,n14)
& n5 = sum(n13,n13)
& n4 = sum(n13,n12)
& n3 = sum(n13,n11)
& n2 = sum(n13,n10)
& n1 = sum(n13,n9)
& n0 = sum(n13,n8)
& n20 = sum(n13,n7)
& n19 = sum(n13,n6)
& n18 = sum(n13,n5)
& n17 = sum(n13,n4)
& n16 = sum(n13,n3)
& n15 = sum(n13,n2)
& n14 = sum(n13,n1)
& n13 = sum(n13,n0)
& n11 = sum(n12,n20)
& n10 = sum(n12,n19)
& n9 = sum(n12,n18)
& n8 = sum(n12,n17)
& n7 = sum(n12,n16)
& n6 = sum(n12,n15)
& n5 = sum(n12,n14)
& n4 = sum(n12,n13)
& n3 = sum(n12,n12)
& n2 = sum(n12,n11)
& n1 = sum(n12,n10)
& n0 = sum(n12,n9)
& n20 = sum(n12,n8)
& n19 = sum(n12,n7)
& n18 = sum(n12,n6)
& n17 = sum(n12,n5)
& n16 = sum(n12,n4)
& n15 = sum(n12,n3)
& n14 = sum(n12,n2)
& n13 = sum(n12,n1)
& n12 = sum(n12,n0)
& n10 = sum(n11,n20)
& n9 = sum(n11,n19)
& n8 = sum(n11,n18)
& n7 = sum(n11,n17)
& n6 = sum(n11,n16)
& n5 = sum(n11,n15)
& n4 = sum(n11,n14)
& n3 = sum(n11,n13)
& n2 = sum(n11,n12)
& n1 = sum(n11,n11)
& n0 = sum(n11,n10)
& n20 = sum(n11,n9)
& n19 = sum(n11,n8)
& n18 = sum(n11,n7)
& n17 = sum(n11,n6)
& n16 = sum(n11,n5)
& n15 = sum(n11,n4)
& n14 = sum(n11,n3)
& n13 = sum(n11,n2)
& n12 = sum(n11,n1)
& n11 = sum(n11,n0)
& n9 = sum(n10,n20)
& n8 = sum(n10,n19)
& n7 = sum(n10,n18)
& n6 = sum(n10,n17)
& n5 = sum(n10,n16)
& n4 = sum(n10,n15)
& n3 = sum(n10,n14)
& n2 = sum(n10,n13)
& n1 = sum(n10,n12)
& n0 = sum(n10,n11)
& n20 = sum(n10,n10)
& n19 = sum(n10,n9)
& n18 = sum(n10,n8)
& n17 = sum(n10,n7)
& n16 = sum(n10,n6)
& n15 = sum(n10,n5)
& n14 = sum(n10,n4)
& n13 = sum(n10,n3)
& n12 = sum(n10,n2)
& n11 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n20)
& n7 = sum(n9,n19)
& n6 = sum(n9,n18)
& n5 = sum(n9,n17)
& n4 = sum(n9,n16)
& n3 = sum(n9,n15)
& n2 = sum(n9,n14)
& n1 = sum(n9,n13)
& n0 = sum(n9,n12)
& n20 = sum(n9,n11)
& n19 = sum(n9,n10)
& n18 = sum(n9,n9)
& n17 = sum(n9,n8)
& n16 = sum(n9,n7)
& n15 = sum(n9,n6)
& n14 = sum(n9,n5)
& n13 = sum(n9,n4)
& n12 = sum(n9,n3)
& n11 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n20)
& n6 = sum(n8,n19)
& n5 = sum(n8,n18)
& n4 = sum(n8,n17)
& n3 = sum(n8,n16)
& n2 = sum(n8,n15)
& n1 = sum(n8,n14)
& n0 = sum(n8,n13)
& n20 = sum(n8,n12)
& n19 = sum(n8,n11)
& n18 = sum(n8,n10)
& n17 = sum(n8,n9)
& n16 = sum(n8,n8)
& n15 = sum(n8,n7)
& n14 = sum(n8,n6)
& n13 = sum(n8,n5)
& n12 = sum(n8,n4)
& n11 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n20)
& n5 = sum(n7,n19)
& n4 = sum(n7,n18)
& n3 = sum(n7,n17)
& n2 = sum(n7,n16)
& n1 = sum(n7,n15)
& n0 = sum(n7,n14)
& n20 = sum(n7,n13)
& n19 = sum(n7,n12)
& n18 = sum(n7,n11)
& n17 = sum(n7,n10)
& n16 = sum(n7,n9)
& n15 = sum(n7,n8)
& n14 = sum(n7,n7)
& n13 = sum(n7,n6)
& n12 = sum(n7,n5)
& n11 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n20)
& n4 = sum(n6,n19)
& n3 = sum(n6,n18)
& n2 = sum(n6,n17)
& n1 = sum(n6,n16)
& n0 = sum(n6,n15)
& n20 = sum(n6,n14)
& n19 = sum(n6,n13)
& n18 = sum(n6,n12)
& n17 = sum(n6,n11)
& n16 = sum(n6,n10)
& n15 = sum(n6,n9)
& n14 = sum(n6,n8)
& n13 = sum(n6,n7)
& n12 = sum(n6,n6)
& n11 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n20)
& n3 = sum(n5,n19)
& n2 = sum(n5,n18)
& n1 = sum(n5,n17)
& n0 = sum(n5,n16)
& n20 = sum(n5,n15)
& n19 = sum(n5,n14)
& n18 = sum(n5,n13)
& n17 = sum(n5,n12)
& n16 = sum(n5,n11)
& n15 = sum(n5,n10)
& n14 = sum(n5,n9)
& n13 = sum(n5,n8)
& n12 = sum(n5,n7)
& n11 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n20)
& n2 = sum(n4,n19)
& n1 = sum(n4,n18)
& n0 = sum(n4,n17)
& n20 = sum(n4,n16)
& n19 = sum(n4,n15)
& n18 = sum(n4,n14)
& n17 = sum(n4,n13)
& n16 = sum(n4,n12)
& n15 = sum(n4,n11)
& n14 = sum(n4,n10)
& n13 = sum(n4,n9)
& n12 = sum(n4,n8)
& n11 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n20)
& n1 = sum(n3,n19)
& n0 = sum(n3,n18)
& n20 = sum(n3,n17)
& n19 = sum(n3,n16)
& n18 = sum(n3,n15)
& n17 = sum(n3,n14)
& n16 = sum(n3,n13)
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n13 = sum(n3,n10)
& n12 = sum(n3,n9)
& n11 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n20)
& n0 = sum(n2,n19)
& n20 = sum(n2,n18)
& n19 = sum(n2,n17)
& n18 = sum(n2,n16)
& n17 = sum(n2,n15)
& n16 = sum(n2,n14)
& n15 = sum(n2,n13)
& n14 = sum(n2,n12)
& n13 = sum(n2,n11)
& n12 = sum(n2,n10)
& n11 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n20)
& n20 = sum(n1,n19)
& n19 = sum(n1,n18)
& n18 = sum(n1,n17)
& n17 = sum(n1,n16)
& n16 = sum(n1,n15)
& n15 = sum(n1,n14)
& n14 = sum(n1,n13)
& n13 = sum(n1,n12)
& n12 = sum(n1,n11)
& n11 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n20 = sum(n0,n20)
& n19 = sum(n0,n19)
& n18 = sum(n0,n18)
& n17 = sum(n0,n17)
& n16 = sum(n0,n16)
& n15 = sum(n0,n15)
& n14 = sum(n0,n14)
& n13 = sum(n0,n13)
& n12 = sum(n0,n12)
& n11 = sum(n0,n11)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n19 = pred(n20)
& n18 = pred(n19)
& n17 = pred(n18)
& n16 = pred(n17)
& n15 = pred(n16)
& n14 = pred(n15)
& n13 = pred(n14)
& n12 = pred(n13)
& n11 = pred(n12)
& n10 = pred(n11)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n20 = pred(n0)
& n0 = succ(n20)
& succ(n19) = n20
& succ(n18) = n19
& succ(n17) = n18
& succ(n16) = n17
& succ(n15) = n16
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f2,plain,
( ? [X0,X1,X2] :
( n19 != n20
& n18 != n20
& n18 != n19
& n17 != n20
& n17 != n19
& n17 != n18
& n16 != n20
& n16 != n19
& n16 != n18
& n16 != n17
& n15 != n20
& n15 != n19
& n15 != n18
& n15 != n17
& n15 != n16
& n14 != n20
& n14 != n19
& n14 != n18
& n14 != n17
& n14 != n16
& n14 != n15
& n13 != n20
& n13 != n19
& n13 != n18
& n13 != n17
& n13 != n16
& n13 != n15
& n13 != n14
& n12 != n20
& n12 != n19
& n12 != n18
& n12 != n17
& n12 != n16
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n20
& n11 != n19
& n11 != n18
& n11 != n17
& n11 != n16
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n20
& n10 != n19
& n10 != n18
& n10 != n17
& n10 != n16
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n20
& n9 != n19
& n9 != n18
& n9 != n17
& n9 != n16
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n20
& n8 != n19
& n8 != n18
& n8 != n17
& n8 != n16
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n20
& n7 != n19
& n7 != n18
& n7 != n17
& n7 != n16
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n20
& n6 != n19
& n6 != n18
& n6 != n17
& n6 != n16
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n20
& n5 != n19
& n5 != n18
& n5 != n17
& n5 != n16
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n20
& n4 != n19
& n4 != n18
& n4 != n17
& n4 != n16
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n20
& n3 != n19
& n3 != n18
& n3 != n17
& n3 != n16
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n20
& n2 != n19
& n2 != n18
& n2 != n17
& n2 != n16
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n20
& n1 != n19
& n1 != n18
& n1 != n17
& n1 != n16
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n20
& n0 != n19
& n0 != n18
& n0 != n17
& n0 != n16
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& n20 != X2
& n19 != X2
& n18 != X2
& n17 != X2
& n16 != X2
& n15 != X2
& n14 != X2
& n13 != X2
& n12 != X2
& n11 != X2
& n10 != X2
& n9 != X2
& n8 != X2
& n7 != X2
& n6 != X2
& n5 != X2
& n4 != X2
& n3 != X2
& n2 != X2
& n1 != X2
& n0 != X2
& sum(pred(sum(X0,succ(X1))),sum(X1,pred(sum(X0,X1)))) = X2
& ( n20 = X1
| n19 = X1
| n18 = X1
| n17 = X1
| n16 = X1
| n15 = X1
| n14 = X1
| n13 = X1
| n12 = X1
| n11 = X1
| n10 = X1
| n9 = X1
| n8 = X1
| n7 = X1
| n6 = X1
| n5 = X1
| n4 = X1
| n3 = X1
| n2 = X1
| n1 = X1
| n0 = X1 )
& ( n20 = X0
| n19 = X0
| n18 = X0
| n17 = X0
| n16 = X0
| n15 = X0
| n14 = X0
| n13 = X0
| n12 = X0
| n11 = X0
| n10 = X0
| n9 = X0
| n8 = X0
| n7 = X0
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 )
& n19 = sum(n20,n20)
& n18 = sum(n20,n19)
& n17 = sum(n20,n18)
& n16 = sum(n20,n17)
& n15 = sum(n20,n16)
& n14 = sum(n20,n15)
& n13 = sum(n20,n14)
& n12 = sum(n20,n13)
& n11 = sum(n20,n12)
& n10 = sum(n20,n11)
& n9 = sum(n20,n10)
& n8 = sum(n20,n9)
& n7 = sum(n20,n8)
& n6 = sum(n20,n7)
& n5 = sum(n20,n6)
& n4 = sum(n20,n5)
& n3 = sum(n20,n4)
& n2 = sum(n20,n3)
& n1 = sum(n20,n2)
& n0 = sum(n20,n1)
& n20 = sum(n20,n0)
& n18 = sum(n19,n20)
& n17 = sum(n19,n19)
& n16 = sum(n19,n18)
& n15 = sum(n19,n17)
& n14 = sum(n19,n16)
& n13 = sum(n19,n15)
& n12 = sum(n19,n14)
& n11 = sum(n19,n13)
& n10 = sum(n19,n12)
& n9 = sum(n19,n11)
& n8 = sum(n19,n10)
& n7 = sum(n19,n9)
& n6 = sum(n19,n8)
& n5 = sum(n19,n7)
& n4 = sum(n19,n6)
& n3 = sum(n19,n5)
& n2 = sum(n19,n4)
& n1 = sum(n19,n3)
& n0 = sum(n19,n2)
& n20 = sum(n19,n1)
& n19 = sum(n19,n0)
& n17 = sum(n18,n20)
& n16 = sum(n18,n19)
& n15 = sum(n18,n18)
& n14 = sum(n18,n17)
& n13 = sum(n18,n16)
& n12 = sum(n18,n15)
& n11 = sum(n18,n14)
& n10 = sum(n18,n13)
& n9 = sum(n18,n12)
& n8 = sum(n18,n11)
& n7 = sum(n18,n10)
& n6 = sum(n18,n9)
& n5 = sum(n18,n8)
& n4 = sum(n18,n7)
& n3 = sum(n18,n6)
& n2 = sum(n18,n5)
& n1 = sum(n18,n4)
& n0 = sum(n18,n3)
& n20 = sum(n18,n2)
& n19 = sum(n18,n1)
& n18 = sum(n18,n0)
& n16 = sum(n17,n20)
& n15 = sum(n17,n19)
& n14 = sum(n17,n18)
& n13 = sum(n17,n17)
& n12 = sum(n17,n16)
& n11 = sum(n17,n15)
& n10 = sum(n17,n14)
& n9 = sum(n17,n13)
& n8 = sum(n17,n12)
& n7 = sum(n17,n11)
& n6 = sum(n17,n10)
& n5 = sum(n17,n9)
& n4 = sum(n17,n8)
& n3 = sum(n17,n7)
& n2 = sum(n17,n6)
& n1 = sum(n17,n5)
& n0 = sum(n17,n4)
& n20 = sum(n17,n3)
& n19 = sum(n17,n2)
& n18 = sum(n17,n1)
& n17 = sum(n17,n0)
& n15 = sum(n16,n20)
& n14 = sum(n16,n19)
& n13 = sum(n16,n18)
& n12 = sum(n16,n17)
& n11 = sum(n16,n16)
& n10 = sum(n16,n15)
& n9 = sum(n16,n14)
& n8 = sum(n16,n13)
& n7 = sum(n16,n12)
& n6 = sum(n16,n11)
& n5 = sum(n16,n10)
& n4 = sum(n16,n9)
& n3 = sum(n16,n8)
& n2 = sum(n16,n7)
& n1 = sum(n16,n6)
& n0 = sum(n16,n5)
& n20 = sum(n16,n4)
& n19 = sum(n16,n3)
& n18 = sum(n16,n2)
& n17 = sum(n16,n1)
& n16 = sum(n16,n0)
& n14 = sum(n15,n20)
& n13 = sum(n15,n19)
& n12 = sum(n15,n18)
& n11 = sum(n15,n17)
& n10 = sum(n15,n16)
& n9 = sum(n15,n15)
& n8 = sum(n15,n14)
& n7 = sum(n15,n13)
& n6 = sum(n15,n12)
& n5 = sum(n15,n11)
& n4 = sum(n15,n10)
& n3 = sum(n15,n9)
& n2 = sum(n15,n8)
& n1 = sum(n15,n7)
& n0 = sum(n15,n6)
& n20 = sum(n15,n5)
& n19 = sum(n15,n4)
& n18 = sum(n15,n3)
& n17 = sum(n15,n2)
& n16 = sum(n15,n1)
& n15 = sum(n15,n0)
& n13 = sum(n14,n20)
& n12 = sum(n14,n19)
& n11 = sum(n14,n18)
& n10 = sum(n14,n17)
& n9 = sum(n14,n16)
& n8 = sum(n14,n15)
& n7 = sum(n14,n14)
& n6 = sum(n14,n13)
& n5 = sum(n14,n12)
& n4 = sum(n14,n11)
& n3 = sum(n14,n10)
& n2 = sum(n14,n9)
& n1 = sum(n14,n8)
& n0 = sum(n14,n7)
& n20 = sum(n14,n6)
& n19 = sum(n14,n5)
& n18 = sum(n14,n4)
& n17 = sum(n14,n3)
& n16 = sum(n14,n2)
& n15 = sum(n14,n1)
& n14 = sum(n14,n0)
& n12 = sum(n13,n20)
& n11 = sum(n13,n19)
& n10 = sum(n13,n18)
& n9 = sum(n13,n17)
& n8 = sum(n13,n16)
& n7 = sum(n13,n15)
& n6 = sum(n13,n14)
& n5 = sum(n13,n13)
& n4 = sum(n13,n12)
& n3 = sum(n13,n11)
& n2 = sum(n13,n10)
& n1 = sum(n13,n9)
& n0 = sum(n13,n8)
& n20 = sum(n13,n7)
& n19 = sum(n13,n6)
& n18 = sum(n13,n5)
& n17 = sum(n13,n4)
& n16 = sum(n13,n3)
& n15 = sum(n13,n2)
& n14 = sum(n13,n1)
& n13 = sum(n13,n0)
& n11 = sum(n12,n20)
& n10 = sum(n12,n19)
& n9 = sum(n12,n18)
& n8 = sum(n12,n17)
& n7 = sum(n12,n16)
& n6 = sum(n12,n15)
& n5 = sum(n12,n14)
& n4 = sum(n12,n13)
& n3 = sum(n12,n12)
& n2 = sum(n12,n11)
& n1 = sum(n12,n10)
& n0 = sum(n12,n9)
& n20 = sum(n12,n8)
& n19 = sum(n12,n7)
& n18 = sum(n12,n6)
& n17 = sum(n12,n5)
& n16 = sum(n12,n4)
& n15 = sum(n12,n3)
& n14 = sum(n12,n2)
& n13 = sum(n12,n1)
& n12 = sum(n12,n0)
& n10 = sum(n11,n20)
& n9 = sum(n11,n19)
& n8 = sum(n11,n18)
& n7 = sum(n11,n17)
& n6 = sum(n11,n16)
& n5 = sum(n11,n15)
& n4 = sum(n11,n14)
& n3 = sum(n11,n13)
& n2 = sum(n11,n12)
& n1 = sum(n11,n11)
& n0 = sum(n11,n10)
& n20 = sum(n11,n9)
& n19 = sum(n11,n8)
& n18 = sum(n11,n7)
& n17 = sum(n11,n6)
& n16 = sum(n11,n5)
& n15 = sum(n11,n4)
& n14 = sum(n11,n3)
& n13 = sum(n11,n2)
& n12 = sum(n11,n1)
& n11 = sum(n11,n0)
& n9 = sum(n10,n20)
& n8 = sum(n10,n19)
& n7 = sum(n10,n18)
& n6 = sum(n10,n17)
& n5 = sum(n10,n16)
& n4 = sum(n10,n15)
& n3 = sum(n10,n14)
& n2 = sum(n10,n13)
& n1 = sum(n10,n12)
& n0 = sum(n10,n11)
& n20 = sum(n10,n10)
& n19 = sum(n10,n9)
& n18 = sum(n10,n8)
& n17 = sum(n10,n7)
& n16 = sum(n10,n6)
& n15 = sum(n10,n5)
& n14 = sum(n10,n4)
& n13 = sum(n10,n3)
& n12 = sum(n10,n2)
& n11 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n20)
& n7 = sum(n9,n19)
& n6 = sum(n9,n18)
& n5 = sum(n9,n17)
& n4 = sum(n9,n16)
& n3 = sum(n9,n15)
& n2 = sum(n9,n14)
& n1 = sum(n9,n13)
& n0 = sum(n9,n12)
& n20 = sum(n9,n11)
& n19 = sum(n9,n10)
& n18 = sum(n9,n9)
& n17 = sum(n9,n8)
& n16 = sum(n9,n7)
& n15 = sum(n9,n6)
& n14 = sum(n9,n5)
& n13 = sum(n9,n4)
& n12 = sum(n9,n3)
& n11 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n20)
& n6 = sum(n8,n19)
& n5 = sum(n8,n18)
& n4 = sum(n8,n17)
& n3 = sum(n8,n16)
& n2 = sum(n8,n15)
& n1 = sum(n8,n14)
& n0 = sum(n8,n13)
& n20 = sum(n8,n12)
& n19 = sum(n8,n11)
& n18 = sum(n8,n10)
& n17 = sum(n8,n9)
& n16 = sum(n8,n8)
& n15 = sum(n8,n7)
& n14 = sum(n8,n6)
& n13 = sum(n8,n5)
& n12 = sum(n8,n4)
& n11 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n20)
& n5 = sum(n7,n19)
& n4 = sum(n7,n18)
& n3 = sum(n7,n17)
& n2 = sum(n7,n16)
& n1 = sum(n7,n15)
& n0 = sum(n7,n14)
& n20 = sum(n7,n13)
& n19 = sum(n7,n12)
& n18 = sum(n7,n11)
& n17 = sum(n7,n10)
& n16 = sum(n7,n9)
& n15 = sum(n7,n8)
& n14 = sum(n7,n7)
& n13 = sum(n7,n6)
& n12 = sum(n7,n5)
& n11 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n20)
& n4 = sum(n6,n19)
& n3 = sum(n6,n18)
& n2 = sum(n6,n17)
& n1 = sum(n6,n16)
& n0 = sum(n6,n15)
& n20 = sum(n6,n14)
& n19 = sum(n6,n13)
& n18 = sum(n6,n12)
& n17 = sum(n6,n11)
& n16 = sum(n6,n10)
& n15 = sum(n6,n9)
& n14 = sum(n6,n8)
& n13 = sum(n6,n7)
& n12 = sum(n6,n6)
& n11 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n20)
& n3 = sum(n5,n19)
& n2 = sum(n5,n18)
& n1 = sum(n5,n17)
& n0 = sum(n5,n16)
& n20 = sum(n5,n15)
& n19 = sum(n5,n14)
& n18 = sum(n5,n13)
& n17 = sum(n5,n12)
& n16 = sum(n5,n11)
& n15 = sum(n5,n10)
& n14 = sum(n5,n9)
& n13 = sum(n5,n8)
& n12 = sum(n5,n7)
& n11 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n20)
& n2 = sum(n4,n19)
& n1 = sum(n4,n18)
& n0 = sum(n4,n17)
& n20 = sum(n4,n16)
& n19 = sum(n4,n15)
& n18 = sum(n4,n14)
& n17 = sum(n4,n13)
& n16 = sum(n4,n12)
& n15 = sum(n4,n11)
& n14 = sum(n4,n10)
& n13 = sum(n4,n9)
& n12 = sum(n4,n8)
& n11 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n20)
& n1 = sum(n3,n19)
& n0 = sum(n3,n18)
& n20 = sum(n3,n17)
& n19 = sum(n3,n16)
& n18 = sum(n3,n15)
& n17 = sum(n3,n14)
& n16 = sum(n3,n13)
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n13 = sum(n3,n10)
& n12 = sum(n3,n9)
& n11 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n20)
& n0 = sum(n2,n19)
& n20 = sum(n2,n18)
& n19 = sum(n2,n17)
& n18 = sum(n2,n16)
& n17 = sum(n2,n15)
& n16 = sum(n2,n14)
& n15 = sum(n2,n13)
& n14 = sum(n2,n12)
& n13 = sum(n2,n11)
& n12 = sum(n2,n10)
& n11 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n20)
& n20 = sum(n1,n19)
& n19 = sum(n1,n18)
& n18 = sum(n1,n17)
& n17 = sum(n1,n16)
& n16 = sum(n1,n15)
& n15 = sum(n1,n14)
& n14 = sum(n1,n13)
& n13 = sum(n1,n12)
& n12 = sum(n1,n11)
& n11 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n20 = sum(n0,n20)
& n19 = sum(n0,n19)
& n18 = sum(n0,n18)
& n17 = sum(n0,n17)
& n16 = sum(n0,n16)
& n15 = sum(n0,n15)
& n14 = sum(n0,n14)
& n13 = sum(n0,n13)
& n12 = sum(n0,n12)
& n11 = sum(n0,n11)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n19 = pred(n20)
& n18 = pred(n19)
& n17 = pred(n18)
& n16 = pred(n17)
& n15 = pred(n16)
& n14 = pred(n15)
& n13 = pred(n14)
& n12 = pred(n13)
& n11 = pred(n12)
& n10 = pred(n11)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n20 = pred(n0)
& n0 = succ(n20)
& succ(n19) = n20
& succ(n18) = n19
& succ(n17) = n18
& succ(n16) = n17
& succ(n15) = n16
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 )
=> ( n19 != n20
& n18 != n20
& n18 != n19
& n17 != n20
& n17 != n19
& n17 != n18
& n16 != n20
& n16 != n19
& n16 != n18
& n16 != n17
& n15 != n20
& n15 != n19
& n15 != n18
& n15 != n17
& n15 != n16
& n14 != n20
& n14 != n19
& n14 != n18
& n14 != n17
& n14 != n16
& n14 != n15
& n13 != n20
& n13 != n19
& n13 != n18
& n13 != n17
& n13 != n16
& n13 != n15
& n13 != n14
& n12 != n20
& n12 != n19
& n12 != n18
& n12 != n17
& n12 != n16
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n20
& n11 != n19
& n11 != n18
& n11 != n17
& n11 != n16
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n20
& n10 != n19
& n10 != n18
& n10 != n17
& n10 != n16
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n20
& n9 != n19
& n9 != n18
& n9 != n17
& n9 != n16
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n20
& n8 != n19
& n8 != n18
& n8 != n17
& n8 != n16
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n20
& n7 != n19
& n7 != n18
& n7 != n17
& n7 != n16
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n20
& n6 != n19
& n6 != n18
& n6 != n17
& n6 != n16
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n20
& n5 != n19
& n5 != n18
& n5 != n17
& n5 != n16
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n20
& n4 != n19
& n4 != n18
& n4 != n17
& n4 != n16
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n20
& n3 != n19
& n3 != n18
& n3 != n17
& n3 != n16
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n20
& n2 != n19
& n2 != n18
& n2 != n17
& n2 != n16
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n20
& n1 != n19
& n1 != n18
& n1 != n17
& n1 != n16
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n20
& n0 != n19
& n0 != n18
& n0 != n17
& n0 != n16
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& n20 != sK2
& n19 != sK2
& n18 != sK2
& n17 != sK2
& n16 != sK2
& n15 != sK2
& n14 != sK2
& n13 != sK2
& n12 != sK2
& n11 != sK2
& n10 != sK2
& n9 != sK2
& n8 != sK2
& n7 != sK2
& n6 != sK2
& n5 != sK2
& n4 != sK2
& n3 != sK2
& n2 != sK2
& n1 != sK2
& n0 != sK2
& sK2 = sum(pred(sum(sK0,succ(sK1))),sum(sK1,pred(sum(sK0,sK1))))
& ( n20 = sK1
| n19 = sK1
| n18 = sK1
| n17 = sK1
| n16 = sK1
| n15 = sK1
| n14 = sK1
| n13 = sK1
| n12 = sK1
| n11 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n20 = sK0
| n19 = sK0
| n18 = sK0
| n17 = sK0
| n16 = sK0
| n15 = sK0
| n14 = sK0
| n13 = sK0
| n12 = sK0
| n11 = sK0
| n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& n19 = sum(n20,n20)
& n18 = sum(n20,n19)
& n17 = sum(n20,n18)
& n16 = sum(n20,n17)
& n15 = sum(n20,n16)
& n14 = sum(n20,n15)
& n13 = sum(n20,n14)
& n12 = sum(n20,n13)
& n11 = sum(n20,n12)
& n10 = sum(n20,n11)
& n9 = sum(n20,n10)
& n8 = sum(n20,n9)
& n7 = sum(n20,n8)
& n6 = sum(n20,n7)
& n5 = sum(n20,n6)
& n4 = sum(n20,n5)
& n3 = sum(n20,n4)
& n2 = sum(n20,n3)
& n1 = sum(n20,n2)
& n0 = sum(n20,n1)
& n20 = sum(n20,n0)
& n18 = sum(n19,n20)
& n17 = sum(n19,n19)
& n16 = sum(n19,n18)
& n15 = sum(n19,n17)
& n14 = sum(n19,n16)
& n13 = sum(n19,n15)
& n12 = sum(n19,n14)
& n11 = sum(n19,n13)
& n10 = sum(n19,n12)
& n9 = sum(n19,n11)
& n8 = sum(n19,n10)
& n7 = sum(n19,n9)
& n6 = sum(n19,n8)
& n5 = sum(n19,n7)
& n4 = sum(n19,n6)
& n3 = sum(n19,n5)
& n2 = sum(n19,n4)
& n1 = sum(n19,n3)
& n0 = sum(n19,n2)
& n20 = sum(n19,n1)
& n19 = sum(n19,n0)
& n17 = sum(n18,n20)
& n16 = sum(n18,n19)
& n15 = sum(n18,n18)
& n14 = sum(n18,n17)
& n13 = sum(n18,n16)
& n12 = sum(n18,n15)
& n11 = sum(n18,n14)
& n10 = sum(n18,n13)
& n9 = sum(n18,n12)
& n8 = sum(n18,n11)
& n7 = sum(n18,n10)
& n6 = sum(n18,n9)
& n5 = sum(n18,n8)
& n4 = sum(n18,n7)
& n3 = sum(n18,n6)
& n2 = sum(n18,n5)
& n1 = sum(n18,n4)
& n0 = sum(n18,n3)
& n20 = sum(n18,n2)
& n19 = sum(n18,n1)
& n18 = sum(n18,n0)
& n16 = sum(n17,n20)
& n15 = sum(n17,n19)
& n14 = sum(n17,n18)
& n13 = sum(n17,n17)
& n12 = sum(n17,n16)
& n11 = sum(n17,n15)
& n10 = sum(n17,n14)
& n9 = sum(n17,n13)
& n8 = sum(n17,n12)
& n7 = sum(n17,n11)
& n6 = sum(n17,n10)
& n5 = sum(n17,n9)
& n4 = sum(n17,n8)
& n3 = sum(n17,n7)
& n2 = sum(n17,n6)
& n1 = sum(n17,n5)
& n0 = sum(n17,n4)
& n20 = sum(n17,n3)
& n19 = sum(n17,n2)
& n18 = sum(n17,n1)
& n17 = sum(n17,n0)
& n15 = sum(n16,n20)
& n14 = sum(n16,n19)
& n13 = sum(n16,n18)
& n12 = sum(n16,n17)
& n11 = sum(n16,n16)
& n10 = sum(n16,n15)
& n9 = sum(n16,n14)
& n8 = sum(n16,n13)
& n7 = sum(n16,n12)
& n6 = sum(n16,n11)
& n5 = sum(n16,n10)
& n4 = sum(n16,n9)
& n3 = sum(n16,n8)
& n2 = sum(n16,n7)
& n1 = sum(n16,n6)
& n0 = sum(n16,n5)
& n20 = sum(n16,n4)
& n19 = sum(n16,n3)
& n18 = sum(n16,n2)
& n17 = sum(n16,n1)
& n16 = sum(n16,n0)
& n14 = sum(n15,n20)
& n13 = sum(n15,n19)
& n12 = sum(n15,n18)
& n11 = sum(n15,n17)
& n10 = sum(n15,n16)
& n9 = sum(n15,n15)
& n8 = sum(n15,n14)
& n7 = sum(n15,n13)
& n6 = sum(n15,n12)
& n5 = sum(n15,n11)
& n4 = sum(n15,n10)
& n3 = sum(n15,n9)
& n2 = sum(n15,n8)
& n1 = sum(n15,n7)
& n0 = sum(n15,n6)
& n20 = sum(n15,n5)
& n19 = sum(n15,n4)
& n18 = sum(n15,n3)
& n17 = sum(n15,n2)
& n16 = sum(n15,n1)
& n15 = sum(n15,n0)
& n13 = sum(n14,n20)
& n12 = sum(n14,n19)
& n11 = sum(n14,n18)
& n10 = sum(n14,n17)
& n9 = sum(n14,n16)
& n8 = sum(n14,n15)
& n7 = sum(n14,n14)
& n6 = sum(n14,n13)
& n5 = sum(n14,n12)
& n4 = sum(n14,n11)
& n3 = sum(n14,n10)
& n2 = sum(n14,n9)
& n1 = sum(n14,n8)
& n0 = sum(n14,n7)
& n20 = sum(n14,n6)
& n19 = sum(n14,n5)
& n18 = sum(n14,n4)
& n17 = sum(n14,n3)
& n16 = sum(n14,n2)
& n15 = sum(n14,n1)
& n14 = sum(n14,n0)
& n12 = sum(n13,n20)
& n11 = sum(n13,n19)
& n10 = sum(n13,n18)
& n9 = sum(n13,n17)
& n8 = sum(n13,n16)
& n7 = sum(n13,n15)
& n6 = sum(n13,n14)
& n5 = sum(n13,n13)
& n4 = sum(n13,n12)
& n3 = sum(n13,n11)
& n2 = sum(n13,n10)
& n1 = sum(n13,n9)
& n0 = sum(n13,n8)
& n20 = sum(n13,n7)
& n19 = sum(n13,n6)
& n18 = sum(n13,n5)
& n17 = sum(n13,n4)
& n16 = sum(n13,n3)
& n15 = sum(n13,n2)
& n14 = sum(n13,n1)
& n13 = sum(n13,n0)
& n11 = sum(n12,n20)
& n10 = sum(n12,n19)
& n9 = sum(n12,n18)
& n8 = sum(n12,n17)
& n7 = sum(n12,n16)
& n6 = sum(n12,n15)
& n5 = sum(n12,n14)
& n4 = sum(n12,n13)
& n3 = sum(n12,n12)
& n2 = sum(n12,n11)
& n1 = sum(n12,n10)
& n0 = sum(n12,n9)
& n20 = sum(n12,n8)
& n19 = sum(n12,n7)
& n18 = sum(n12,n6)
& n17 = sum(n12,n5)
& n16 = sum(n12,n4)
& n15 = sum(n12,n3)
& n14 = sum(n12,n2)
& n13 = sum(n12,n1)
& n12 = sum(n12,n0)
& n10 = sum(n11,n20)
& n9 = sum(n11,n19)
& n8 = sum(n11,n18)
& n7 = sum(n11,n17)
& n6 = sum(n11,n16)
& n5 = sum(n11,n15)
& n4 = sum(n11,n14)
& n3 = sum(n11,n13)
& n2 = sum(n11,n12)
& n1 = sum(n11,n11)
& n0 = sum(n11,n10)
& n20 = sum(n11,n9)
& n19 = sum(n11,n8)
& n18 = sum(n11,n7)
& n17 = sum(n11,n6)
& n16 = sum(n11,n5)
& n15 = sum(n11,n4)
& n14 = sum(n11,n3)
& n13 = sum(n11,n2)
& n12 = sum(n11,n1)
& n11 = sum(n11,n0)
& n9 = sum(n10,n20)
& n8 = sum(n10,n19)
& n7 = sum(n10,n18)
& n6 = sum(n10,n17)
& n5 = sum(n10,n16)
& n4 = sum(n10,n15)
& n3 = sum(n10,n14)
& n2 = sum(n10,n13)
& n1 = sum(n10,n12)
& n0 = sum(n10,n11)
& n20 = sum(n10,n10)
& n19 = sum(n10,n9)
& n18 = sum(n10,n8)
& n17 = sum(n10,n7)
& n16 = sum(n10,n6)
& n15 = sum(n10,n5)
& n14 = sum(n10,n4)
& n13 = sum(n10,n3)
& n12 = sum(n10,n2)
& n11 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n20)
& n7 = sum(n9,n19)
& n6 = sum(n9,n18)
& n5 = sum(n9,n17)
& n4 = sum(n9,n16)
& n3 = sum(n9,n15)
& n2 = sum(n9,n14)
& n1 = sum(n9,n13)
& n0 = sum(n9,n12)
& n20 = sum(n9,n11)
& n19 = sum(n9,n10)
& n18 = sum(n9,n9)
& n17 = sum(n9,n8)
& n16 = sum(n9,n7)
& n15 = sum(n9,n6)
& n14 = sum(n9,n5)
& n13 = sum(n9,n4)
& n12 = sum(n9,n3)
& n11 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n20)
& n6 = sum(n8,n19)
& n5 = sum(n8,n18)
& n4 = sum(n8,n17)
& n3 = sum(n8,n16)
& n2 = sum(n8,n15)
& n1 = sum(n8,n14)
& n0 = sum(n8,n13)
& n20 = sum(n8,n12)
& n19 = sum(n8,n11)
& n18 = sum(n8,n10)
& n17 = sum(n8,n9)
& n16 = sum(n8,n8)
& n15 = sum(n8,n7)
& n14 = sum(n8,n6)
& n13 = sum(n8,n5)
& n12 = sum(n8,n4)
& n11 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n20)
& n5 = sum(n7,n19)
& n4 = sum(n7,n18)
& n3 = sum(n7,n17)
& n2 = sum(n7,n16)
& n1 = sum(n7,n15)
& n0 = sum(n7,n14)
& n20 = sum(n7,n13)
& n19 = sum(n7,n12)
& n18 = sum(n7,n11)
& n17 = sum(n7,n10)
& n16 = sum(n7,n9)
& n15 = sum(n7,n8)
& n14 = sum(n7,n7)
& n13 = sum(n7,n6)
& n12 = sum(n7,n5)
& n11 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n20)
& n4 = sum(n6,n19)
& n3 = sum(n6,n18)
& n2 = sum(n6,n17)
& n1 = sum(n6,n16)
& n0 = sum(n6,n15)
& n20 = sum(n6,n14)
& n19 = sum(n6,n13)
& n18 = sum(n6,n12)
& n17 = sum(n6,n11)
& n16 = sum(n6,n10)
& n15 = sum(n6,n9)
& n14 = sum(n6,n8)
& n13 = sum(n6,n7)
& n12 = sum(n6,n6)
& n11 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n20)
& n3 = sum(n5,n19)
& n2 = sum(n5,n18)
& n1 = sum(n5,n17)
& n0 = sum(n5,n16)
& n20 = sum(n5,n15)
& n19 = sum(n5,n14)
& n18 = sum(n5,n13)
& n17 = sum(n5,n12)
& n16 = sum(n5,n11)
& n15 = sum(n5,n10)
& n14 = sum(n5,n9)
& n13 = sum(n5,n8)
& n12 = sum(n5,n7)
& n11 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n20)
& n2 = sum(n4,n19)
& n1 = sum(n4,n18)
& n0 = sum(n4,n17)
& n20 = sum(n4,n16)
& n19 = sum(n4,n15)
& n18 = sum(n4,n14)
& n17 = sum(n4,n13)
& n16 = sum(n4,n12)
& n15 = sum(n4,n11)
& n14 = sum(n4,n10)
& n13 = sum(n4,n9)
& n12 = sum(n4,n8)
& n11 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n20)
& n1 = sum(n3,n19)
& n0 = sum(n3,n18)
& n20 = sum(n3,n17)
& n19 = sum(n3,n16)
& n18 = sum(n3,n15)
& n17 = sum(n3,n14)
& n16 = sum(n3,n13)
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n13 = sum(n3,n10)
& n12 = sum(n3,n9)
& n11 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n20)
& n0 = sum(n2,n19)
& n20 = sum(n2,n18)
& n19 = sum(n2,n17)
& n18 = sum(n2,n16)
& n17 = sum(n2,n15)
& n16 = sum(n2,n14)
& n15 = sum(n2,n13)
& n14 = sum(n2,n12)
& n13 = sum(n2,n11)
& n12 = sum(n2,n10)
& n11 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n20)
& n20 = sum(n1,n19)
& n19 = sum(n1,n18)
& n18 = sum(n1,n17)
& n17 = sum(n1,n16)
& n16 = sum(n1,n15)
& n15 = sum(n1,n14)
& n14 = sum(n1,n13)
& n13 = sum(n1,n12)
& n12 = sum(n1,n11)
& n11 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n20 = sum(n0,n20)
& n19 = sum(n0,n19)
& n18 = sum(n0,n18)
& n17 = sum(n0,n17)
& n16 = sum(n0,n16)
& n15 = sum(n0,n15)
& n14 = sum(n0,n14)
& n13 = sum(n0,n13)
& n12 = sum(n0,n12)
& n11 = sum(n0,n11)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n19 = pred(n20)
& n18 = pred(n19)
& n17 = pred(n18)
& n16 = pred(n17)
& n15 = pred(n16)
& n14 = pred(n15)
& n13 = pred(n14)
& n12 = pred(n13)
& n11 = pred(n12)
& n10 = pred(n11)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n20 = pred(n0)
& n0 = succ(n20)
& succ(n19) = n20
& succ(n18) = n19
& succ(n17) = n18
& succ(n16) = n17
& succ(n15) = n16
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ) ),
introduced(choice_axiom,[]) ).
fof(f3,plain,
( n19 != n20
& n18 != n20
& n18 != n19
& n17 != n20
& n17 != n19
& n17 != n18
& n16 != n20
& n16 != n19
& n16 != n18
& n16 != n17
& n15 != n20
& n15 != n19
& n15 != n18
& n15 != n17
& n15 != n16
& n14 != n20
& n14 != n19
& n14 != n18
& n14 != n17
& n14 != n16
& n14 != n15
& n13 != n20
& n13 != n19
& n13 != n18
& n13 != n17
& n13 != n16
& n13 != n15
& n13 != n14
& n12 != n20
& n12 != n19
& n12 != n18
& n12 != n17
& n12 != n16
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n20
& n11 != n19
& n11 != n18
& n11 != n17
& n11 != n16
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n20
& n10 != n19
& n10 != n18
& n10 != n17
& n10 != n16
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n20
& n9 != n19
& n9 != n18
& n9 != n17
& n9 != n16
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n20
& n8 != n19
& n8 != n18
& n8 != n17
& n8 != n16
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n20
& n7 != n19
& n7 != n18
& n7 != n17
& n7 != n16
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n20
& n6 != n19
& n6 != n18
& n6 != n17
& n6 != n16
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n20
& n5 != n19
& n5 != n18
& n5 != n17
& n5 != n16
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n20
& n4 != n19
& n4 != n18
& n4 != n17
& n4 != n16
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n20
& n3 != n19
& n3 != n18
& n3 != n17
& n3 != n16
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n20
& n2 != n19
& n2 != n18
& n2 != n17
& n2 != n16
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n20
& n1 != n19
& n1 != n18
& n1 != n17
& n1 != n16
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n20
& n0 != n19
& n0 != n18
& n0 != n17
& n0 != n16
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& n20 != sK2
& n19 != sK2
& n18 != sK2
& n17 != sK2
& n16 != sK2
& n15 != sK2
& n14 != sK2
& n13 != sK2
& n12 != sK2
& n11 != sK2
& n10 != sK2
& n9 != sK2
& n8 != sK2
& n7 != sK2
& n6 != sK2
& n5 != sK2
& n4 != sK2
& n3 != sK2
& n2 != sK2
& n1 != sK2
& n0 != sK2
& sK2 = sum(pred(sum(sK0,succ(sK1))),sum(sK1,pred(sum(sK0,sK1))))
& ( n20 = sK1
| n19 = sK1
| n18 = sK1
| n17 = sK1
| n16 = sK1
| n15 = sK1
| n14 = sK1
| n13 = sK1
| n12 = sK1
| n11 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n20 = sK0
| n19 = sK0
| n18 = sK0
| n17 = sK0
| n16 = sK0
| n15 = sK0
| n14 = sK0
| n13 = sK0
| n12 = sK0
| n11 = sK0
| n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& n19 = sum(n20,n20)
& n18 = sum(n20,n19)
& n17 = sum(n20,n18)
& n16 = sum(n20,n17)
& n15 = sum(n20,n16)
& n14 = sum(n20,n15)
& n13 = sum(n20,n14)
& n12 = sum(n20,n13)
& n11 = sum(n20,n12)
& n10 = sum(n20,n11)
& n9 = sum(n20,n10)
& n8 = sum(n20,n9)
& n7 = sum(n20,n8)
& n6 = sum(n20,n7)
& n5 = sum(n20,n6)
& n4 = sum(n20,n5)
& n3 = sum(n20,n4)
& n2 = sum(n20,n3)
& n1 = sum(n20,n2)
& n0 = sum(n20,n1)
& n20 = sum(n20,n0)
& n18 = sum(n19,n20)
& n17 = sum(n19,n19)
& n16 = sum(n19,n18)
& n15 = sum(n19,n17)
& n14 = sum(n19,n16)
& n13 = sum(n19,n15)
& n12 = sum(n19,n14)
& n11 = sum(n19,n13)
& n10 = sum(n19,n12)
& n9 = sum(n19,n11)
& n8 = sum(n19,n10)
& n7 = sum(n19,n9)
& n6 = sum(n19,n8)
& n5 = sum(n19,n7)
& n4 = sum(n19,n6)
& n3 = sum(n19,n5)
& n2 = sum(n19,n4)
& n1 = sum(n19,n3)
& n0 = sum(n19,n2)
& n20 = sum(n19,n1)
& n19 = sum(n19,n0)
& n17 = sum(n18,n20)
& n16 = sum(n18,n19)
& n15 = sum(n18,n18)
& n14 = sum(n18,n17)
& n13 = sum(n18,n16)
& n12 = sum(n18,n15)
& n11 = sum(n18,n14)
& n10 = sum(n18,n13)
& n9 = sum(n18,n12)
& n8 = sum(n18,n11)
& n7 = sum(n18,n10)
& n6 = sum(n18,n9)
& n5 = sum(n18,n8)
& n4 = sum(n18,n7)
& n3 = sum(n18,n6)
& n2 = sum(n18,n5)
& n1 = sum(n18,n4)
& n0 = sum(n18,n3)
& n20 = sum(n18,n2)
& n19 = sum(n18,n1)
& n18 = sum(n18,n0)
& n16 = sum(n17,n20)
& n15 = sum(n17,n19)
& n14 = sum(n17,n18)
& n13 = sum(n17,n17)
& n12 = sum(n17,n16)
& n11 = sum(n17,n15)
& n10 = sum(n17,n14)
& n9 = sum(n17,n13)
& n8 = sum(n17,n12)
& n7 = sum(n17,n11)
& n6 = sum(n17,n10)
& n5 = sum(n17,n9)
& n4 = sum(n17,n8)
& n3 = sum(n17,n7)
& n2 = sum(n17,n6)
& n1 = sum(n17,n5)
& n0 = sum(n17,n4)
& n20 = sum(n17,n3)
& n19 = sum(n17,n2)
& n18 = sum(n17,n1)
& n17 = sum(n17,n0)
& n15 = sum(n16,n20)
& n14 = sum(n16,n19)
& n13 = sum(n16,n18)
& n12 = sum(n16,n17)
& n11 = sum(n16,n16)
& n10 = sum(n16,n15)
& n9 = sum(n16,n14)
& n8 = sum(n16,n13)
& n7 = sum(n16,n12)
& n6 = sum(n16,n11)
& n5 = sum(n16,n10)
& n4 = sum(n16,n9)
& n3 = sum(n16,n8)
& n2 = sum(n16,n7)
& n1 = sum(n16,n6)
& n0 = sum(n16,n5)
& n20 = sum(n16,n4)
& n19 = sum(n16,n3)
& n18 = sum(n16,n2)
& n17 = sum(n16,n1)
& n16 = sum(n16,n0)
& n14 = sum(n15,n20)
& n13 = sum(n15,n19)
& n12 = sum(n15,n18)
& n11 = sum(n15,n17)
& n10 = sum(n15,n16)
& n9 = sum(n15,n15)
& n8 = sum(n15,n14)
& n7 = sum(n15,n13)
& n6 = sum(n15,n12)
& n5 = sum(n15,n11)
& n4 = sum(n15,n10)
& n3 = sum(n15,n9)
& n2 = sum(n15,n8)
& n1 = sum(n15,n7)
& n0 = sum(n15,n6)
& n20 = sum(n15,n5)
& n19 = sum(n15,n4)
& n18 = sum(n15,n3)
& n17 = sum(n15,n2)
& n16 = sum(n15,n1)
& n15 = sum(n15,n0)
& n13 = sum(n14,n20)
& n12 = sum(n14,n19)
& n11 = sum(n14,n18)
& n10 = sum(n14,n17)
& n9 = sum(n14,n16)
& n8 = sum(n14,n15)
& n7 = sum(n14,n14)
& n6 = sum(n14,n13)
& n5 = sum(n14,n12)
& n4 = sum(n14,n11)
& n3 = sum(n14,n10)
& n2 = sum(n14,n9)
& n1 = sum(n14,n8)
& n0 = sum(n14,n7)
& n20 = sum(n14,n6)
& n19 = sum(n14,n5)
& n18 = sum(n14,n4)
& n17 = sum(n14,n3)
& n16 = sum(n14,n2)
& n15 = sum(n14,n1)
& n14 = sum(n14,n0)
& n12 = sum(n13,n20)
& n11 = sum(n13,n19)
& n10 = sum(n13,n18)
& n9 = sum(n13,n17)
& n8 = sum(n13,n16)
& n7 = sum(n13,n15)
& n6 = sum(n13,n14)
& n5 = sum(n13,n13)
& n4 = sum(n13,n12)
& n3 = sum(n13,n11)
& n2 = sum(n13,n10)
& n1 = sum(n13,n9)
& n0 = sum(n13,n8)
& n20 = sum(n13,n7)
& n19 = sum(n13,n6)
& n18 = sum(n13,n5)
& n17 = sum(n13,n4)
& n16 = sum(n13,n3)
& n15 = sum(n13,n2)
& n14 = sum(n13,n1)
& n13 = sum(n13,n0)
& n11 = sum(n12,n20)
& n10 = sum(n12,n19)
& n9 = sum(n12,n18)
& n8 = sum(n12,n17)
& n7 = sum(n12,n16)
& n6 = sum(n12,n15)
& n5 = sum(n12,n14)
& n4 = sum(n12,n13)
& n3 = sum(n12,n12)
& n2 = sum(n12,n11)
& n1 = sum(n12,n10)
& n0 = sum(n12,n9)
& n20 = sum(n12,n8)
& n19 = sum(n12,n7)
& n18 = sum(n12,n6)
& n17 = sum(n12,n5)
& n16 = sum(n12,n4)
& n15 = sum(n12,n3)
& n14 = sum(n12,n2)
& n13 = sum(n12,n1)
& n12 = sum(n12,n0)
& n10 = sum(n11,n20)
& n9 = sum(n11,n19)
& n8 = sum(n11,n18)
& n7 = sum(n11,n17)
& n6 = sum(n11,n16)
& n5 = sum(n11,n15)
& n4 = sum(n11,n14)
& n3 = sum(n11,n13)
& n2 = sum(n11,n12)
& n1 = sum(n11,n11)
& n0 = sum(n11,n10)
& n20 = sum(n11,n9)
& n19 = sum(n11,n8)
& n18 = sum(n11,n7)
& n17 = sum(n11,n6)
& n16 = sum(n11,n5)
& n15 = sum(n11,n4)
& n14 = sum(n11,n3)
& n13 = sum(n11,n2)
& n12 = sum(n11,n1)
& n11 = sum(n11,n0)
& n9 = sum(n10,n20)
& n8 = sum(n10,n19)
& n7 = sum(n10,n18)
& n6 = sum(n10,n17)
& n5 = sum(n10,n16)
& n4 = sum(n10,n15)
& n3 = sum(n10,n14)
& n2 = sum(n10,n13)
& n1 = sum(n10,n12)
& n0 = sum(n10,n11)
& n20 = sum(n10,n10)
& n19 = sum(n10,n9)
& n18 = sum(n10,n8)
& n17 = sum(n10,n7)
& n16 = sum(n10,n6)
& n15 = sum(n10,n5)
& n14 = sum(n10,n4)
& n13 = sum(n10,n3)
& n12 = sum(n10,n2)
& n11 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n20)
& n7 = sum(n9,n19)
& n6 = sum(n9,n18)
& n5 = sum(n9,n17)
& n4 = sum(n9,n16)
& n3 = sum(n9,n15)
& n2 = sum(n9,n14)
& n1 = sum(n9,n13)
& n0 = sum(n9,n12)
& n20 = sum(n9,n11)
& n19 = sum(n9,n10)
& n18 = sum(n9,n9)
& n17 = sum(n9,n8)
& n16 = sum(n9,n7)
& n15 = sum(n9,n6)
& n14 = sum(n9,n5)
& n13 = sum(n9,n4)
& n12 = sum(n9,n3)
& n11 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n20)
& n6 = sum(n8,n19)
& n5 = sum(n8,n18)
& n4 = sum(n8,n17)
& n3 = sum(n8,n16)
& n2 = sum(n8,n15)
& n1 = sum(n8,n14)
& n0 = sum(n8,n13)
& n20 = sum(n8,n12)
& n19 = sum(n8,n11)
& n18 = sum(n8,n10)
& n17 = sum(n8,n9)
& n16 = sum(n8,n8)
& n15 = sum(n8,n7)
& n14 = sum(n8,n6)
& n13 = sum(n8,n5)
& n12 = sum(n8,n4)
& n11 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n20)
& n5 = sum(n7,n19)
& n4 = sum(n7,n18)
& n3 = sum(n7,n17)
& n2 = sum(n7,n16)
& n1 = sum(n7,n15)
& n0 = sum(n7,n14)
& n20 = sum(n7,n13)
& n19 = sum(n7,n12)
& n18 = sum(n7,n11)
& n17 = sum(n7,n10)
& n16 = sum(n7,n9)
& n15 = sum(n7,n8)
& n14 = sum(n7,n7)
& n13 = sum(n7,n6)
& n12 = sum(n7,n5)
& n11 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n20)
& n4 = sum(n6,n19)
& n3 = sum(n6,n18)
& n2 = sum(n6,n17)
& n1 = sum(n6,n16)
& n0 = sum(n6,n15)
& n20 = sum(n6,n14)
& n19 = sum(n6,n13)
& n18 = sum(n6,n12)
& n17 = sum(n6,n11)
& n16 = sum(n6,n10)
& n15 = sum(n6,n9)
& n14 = sum(n6,n8)
& n13 = sum(n6,n7)
& n12 = sum(n6,n6)
& n11 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n20)
& n3 = sum(n5,n19)
& n2 = sum(n5,n18)
& n1 = sum(n5,n17)
& n0 = sum(n5,n16)
& n20 = sum(n5,n15)
& n19 = sum(n5,n14)
& n18 = sum(n5,n13)
& n17 = sum(n5,n12)
& n16 = sum(n5,n11)
& n15 = sum(n5,n10)
& n14 = sum(n5,n9)
& n13 = sum(n5,n8)
& n12 = sum(n5,n7)
& n11 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n20)
& n2 = sum(n4,n19)
& n1 = sum(n4,n18)
& n0 = sum(n4,n17)
& n20 = sum(n4,n16)
& n19 = sum(n4,n15)
& n18 = sum(n4,n14)
& n17 = sum(n4,n13)
& n16 = sum(n4,n12)
& n15 = sum(n4,n11)
& n14 = sum(n4,n10)
& n13 = sum(n4,n9)
& n12 = sum(n4,n8)
& n11 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n20)
& n1 = sum(n3,n19)
& n0 = sum(n3,n18)
& n20 = sum(n3,n17)
& n19 = sum(n3,n16)
& n18 = sum(n3,n15)
& n17 = sum(n3,n14)
& n16 = sum(n3,n13)
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n13 = sum(n3,n10)
& n12 = sum(n3,n9)
& n11 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n20)
& n0 = sum(n2,n19)
& n20 = sum(n2,n18)
& n19 = sum(n2,n17)
& n18 = sum(n2,n16)
& n17 = sum(n2,n15)
& n16 = sum(n2,n14)
& n15 = sum(n2,n13)
& n14 = sum(n2,n12)
& n13 = sum(n2,n11)
& n12 = sum(n2,n10)
& n11 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n20)
& n20 = sum(n1,n19)
& n19 = sum(n1,n18)
& n18 = sum(n1,n17)
& n17 = sum(n1,n16)
& n16 = sum(n1,n15)
& n15 = sum(n1,n14)
& n14 = sum(n1,n13)
& n13 = sum(n1,n12)
& n12 = sum(n1,n11)
& n11 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n20 = sum(n0,n20)
& n19 = sum(n0,n19)
& n18 = sum(n0,n18)
& n17 = sum(n0,n17)
& n16 = sum(n0,n16)
& n15 = sum(n0,n15)
& n14 = sum(n0,n14)
& n13 = sum(n0,n13)
& n12 = sum(n0,n12)
& n11 = sum(n0,n11)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n19 = pred(n20)
& n18 = pred(n19)
& n17 = pred(n18)
& n16 = pred(n17)
& n15 = pred(n16)
& n14 = pred(n15)
& n13 = pred(n14)
& n12 = pred(n13)
& n11 = pred(n12)
& n10 = pred(n11)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n20 = pred(n0)
& n0 = succ(n20)
& succ(n19) = n20
& succ(n18) = n19
& succ(n17) = n18
& succ(n16) = n17
& succ(n15) = n16
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f1,f2]) ).
fof(f4,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f3]) ).
fof(f5,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f3]) ).
fof(f6,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f3]) ).
fof(f7,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f3]) ).
fof(f8,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f3]) ).
fof(f9,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f3]) ).
fof(f10,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f3]) ).
fof(f11,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f3]) ).
fof(f12,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f3]) ).
fof(f14,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f3]) ).
fof(f15,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f3]) ).
fof(f16,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f3]) ).
fof(f17,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f3]) ).
fof(f18,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f3]) ).
fof(f19,plain,
succ(n15) = n16,
inference(cnf_transformation,[],[f3]) ).
fof(f20,plain,
succ(n16) = n17,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
succ(n17) = n18,
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
succ(n18) = n19,
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
succ(n19) = n20,
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
n0 = succ(n20),
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
n20 = pred(n0),
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f3]) ).
fof(f27,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f3]) ).
fof(f28,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f3]) ).
fof(f29,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f3]) ).
fof(f30,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f3]) ).
fof(f31,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f3]) ).
fof(f32,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f3]) ).
fof(f33,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f3]) ).
fof(f35,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f3]) ).
fof(f36,plain,
n10 = pred(n11),
inference(cnf_transformation,[],[f3]) ).
fof(f37,plain,
n11 = pred(n12),
inference(cnf_transformation,[],[f3]) ).
fof(f38,plain,
n12 = pred(n13),
inference(cnf_transformation,[],[f3]) ).
fof(f39,plain,
n13 = pred(n14),
inference(cnf_transformation,[],[f3]) ).
fof(f40,plain,
n14 = pred(n15),
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
n15 = pred(n16),
inference(cnf_transformation,[],[f3]) ).
fof(f42,plain,
n16 = pred(n17),
inference(cnf_transformation,[],[f3]) ).
fof(f43,plain,
n17 = pred(n18),
inference(cnf_transformation,[],[f3]) ).
fof(f44,plain,
n18 = pred(n19),
inference(cnf_transformation,[],[f3]) ).
fof(f45,plain,
n19 = pred(n20),
inference(cnf_transformation,[],[f3]) ).
fof(f46,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f47,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f48,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f49,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f50,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f51,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f52,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f53,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f54,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f55,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f56,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f57,plain,
n11 = sum(n0,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f58,plain,
n12 = sum(n0,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f59,plain,
n13 = sum(n0,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f60,plain,
n14 = sum(n0,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f61,plain,
n15 = sum(n0,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f62,plain,
n16 = sum(n0,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f63,plain,
n17 = sum(n0,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f64,plain,
n18 = sum(n0,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f65,plain,
n19 = sum(n0,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f66,plain,
n20 = sum(n0,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f67,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f68,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f69,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f70,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f71,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f72,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f73,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f74,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f75,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f76,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f77,plain,
n11 = sum(n1,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f78,plain,
n12 = sum(n1,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f79,plain,
n13 = sum(n1,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f80,plain,
n14 = sum(n1,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f81,plain,
n15 = sum(n1,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f82,plain,
n16 = sum(n1,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f83,plain,
n17 = sum(n1,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f84,plain,
n18 = sum(n1,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f85,plain,
n19 = sum(n1,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f86,plain,
n20 = sum(n1,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f87,plain,
n0 = sum(n1,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f88,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f89,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f90,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f91,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f92,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f93,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f94,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f95,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f96,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f97,plain,
n11 = sum(n2,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f98,plain,
n12 = sum(n2,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f99,plain,
n13 = sum(n2,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f100,plain,
n14 = sum(n2,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f101,plain,
n15 = sum(n2,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f102,plain,
n16 = sum(n2,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f103,plain,
n17 = sum(n2,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f104,plain,
n18 = sum(n2,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f105,plain,
n19 = sum(n2,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f106,plain,
n20 = sum(n2,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f107,plain,
n0 = sum(n2,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f108,plain,
n1 = sum(n2,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f109,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f110,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f111,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f112,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
n11 = sum(n3,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f118,plain,
n12 = sum(n3,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
n13 = sum(n3,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
n14 = sum(n3,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
n15 = sum(n3,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f122,plain,
n16 = sum(n3,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f123,plain,
n17 = sum(n3,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
n18 = sum(n3,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f125,plain,
n19 = sum(n3,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
n20 = sum(n3,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f127,plain,
n0 = sum(n3,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
n1 = sum(n3,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f129,plain,
n2 = sum(n3,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f130,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f131,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f132,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f133,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f134,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f135,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f136,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f137,plain,
n11 = sum(n4,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f138,plain,
n12 = sum(n4,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f139,plain,
n13 = sum(n4,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f140,plain,
n14 = sum(n4,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f141,plain,
n15 = sum(n4,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f142,plain,
n16 = sum(n4,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f143,plain,
n17 = sum(n4,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f144,plain,
n18 = sum(n4,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f145,plain,
n19 = sum(n4,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f146,plain,
n20 = sum(n4,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f147,plain,
n0 = sum(n4,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f148,plain,
n1 = sum(n4,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f149,plain,
n2 = sum(n4,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f150,plain,
n3 = sum(n4,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f151,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f152,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f153,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f154,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f155,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f156,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f157,plain,
n11 = sum(n5,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f158,plain,
n12 = sum(n5,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f159,plain,
n13 = sum(n5,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f160,plain,
n14 = sum(n5,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f161,plain,
n15 = sum(n5,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f162,plain,
n16 = sum(n5,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f163,plain,
n17 = sum(n5,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f164,plain,
n18 = sum(n5,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f165,plain,
n19 = sum(n5,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f166,plain,
n20 = sum(n5,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f167,plain,
n0 = sum(n5,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f168,plain,
n1 = sum(n5,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f169,plain,
n2 = sum(n5,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f170,plain,
n3 = sum(n5,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f171,plain,
n4 = sum(n5,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f172,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f173,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f174,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f175,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f176,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f177,plain,
n11 = sum(n6,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f178,plain,
n12 = sum(n6,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f179,plain,
n13 = sum(n6,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f180,plain,
n14 = sum(n6,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f181,plain,
n15 = sum(n6,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f182,plain,
n16 = sum(n6,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f183,plain,
n17 = sum(n6,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f184,plain,
n18 = sum(n6,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f185,plain,
n19 = sum(n6,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f186,plain,
n20 = sum(n6,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f187,plain,
n0 = sum(n6,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f188,plain,
n1 = sum(n6,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f189,plain,
n2 = sum(n6,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f190,plain,
n3 = sum(n6,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f191,plain,
n4 = sum(n6,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f192,plain,
n5 = sum(n6,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f193,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f194,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f195,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f196,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f197,plain,
n11 = sum(n7,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f198,plain,
n12 = sum(n7,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f199,plain,
n13 = sum(n7,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f200,plain,
n14 = sum(n7,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f201,plain,
n15 = sum(n7,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f202,plain,
n16 = sum(n7,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f203,plain,
n17 = sum(n7,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f204,plain,
n18 = sum(n7,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f205,plain,
n19 = sum(n7,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f206,plain,
n20 = sum(n7,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f207,plain,
n0 = sum(n7,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f208,plain,
n1 = sum(n7,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f209,plain,
n2 = sum(n7,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f210,plain,
n3 = sum(n7,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f211,plain,
n4 = sum(n7,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f212,plain,
n5 = sum(n7,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f213,plain,
n6 = sum(n7,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f214,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f215,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f216,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f217,plain,
n11 = sum(n8,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f218,plain,
n12 = sum(n8,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f219,plain,
n13 = sum(n8,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f220,plain,
n14 = sum(n8,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f221,plain,
n15 = sum(n8,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f222,plain,
n16 = sum(n8,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f223,plain,
n17 = sum(n8,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f224,plain,
n18 = sum(n8,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f225,plain,
n19 = sum(n8,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f226,plain,
n20 = sum(n8,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f227,plain,
n0 = sum(n8,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f228,plain,
n1 = sum(n8,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f229,plain,
n2 = sum(n8,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f230,plain,
n3 = sum(n8,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f231,plain,
n4 = sum(n8,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f232,plain,
n5 = sum(n8,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f233,plain,
n6 = sum(n8,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f234,plain,
n7 = sum(n8,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f235,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f236,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f237,plain,
n11 = sum(n9,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f238,plain,
n12 = sum(n9,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f239,plain,
n13 = sum(n9,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f240,plain,
n14 = sum(n9,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f241,plain,
n15 = sum(n9,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f242,plain,
n16 = sum(n9,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f243,plain,
n17 = sum(n9,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f244,plain,
n18 = sum(n9,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f245,plain,
n19 = sum(n9,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f246,plain,
n20 = sum(n9,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f247,plain,
n0 = sum(n9,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f248,plain,
n1 = sum(n9,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f249,plain,
n2 = sum(n9,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f250,plain,
n3 = sum(n9,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f251,plain,
n4 = sum(n9,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f252,plain,
n5 = sum(n9,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f253,plain,
n6 = sum(n9,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f254,plain,
n7 = sum(n9,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f255,plain,
n8 = sum(n9,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f256,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f257,plain,
n11 = sum(n10,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f258,plain,
n12 = sum(n10,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f259,plain,
n13 = sum(n10,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f260,plain,
n14 = sum(n10,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f261,plain,
n15 = sum(n10,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f262,plain,
n16 = sum(n10,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f263,plain,
n17 = sum(n10,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f264,plain,
n18 = sum(n10,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f265,plain,
n19 = sum(n10,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f266,plain,
n20 = sum(n10,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f267,plain,
n0 = sum(n10,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f268,plain,
n1 = sum(n10,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f269,plain,
n2 = sum(n10,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f270,plain,
n3 = sum(n10,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f271,plain,
n4 = sum(n10,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f272,plain,
n5 = sum(n10,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f273,plain,
n6 = sum(n10,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f274,plain,
n7 = sum(n10,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f275,plain,
n8 = sum(n10,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f276,plain,
n9 = sum(n10,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f277,plain,
n11 = sum(n11,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f278,plain,
n12 = sum(n11,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f279,plain,
n13 = sum(n11,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f280,plain,
n14 = sum(n11,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f281,plain,
n15 = sum(n11,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f282,plain,
n16 = sum(n11,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f283,plain,
n17 = sum(n11,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f284,plain,
n18 = sum(n11,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f285,plain,
n19 = sum(n11,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f286,plain,
n20 = sum(n11,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f287,plain,
n0 = sum(n11,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f288,plain,
n1 = sum(n11,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f289,plain,
n2 = sum(n11,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f290,plain,
n3 = sum(n11,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f291,plain,
n4 = sum(n11,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f292,plain,
n5 = sum(n11,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f293,plain,
n6 = sum(n11,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f294,plain,
n7 = sum(n11,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f295,plain,
n8 = sum(n11,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f296,plain,
n9 = sum(n11,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f297,plain,
n10 = sum(n11,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f298,plain,
n12 = sum(n12,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f299,plain,
n13 = sum(n12,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f300,plain,
n14 = sum(n12,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f301,plain,
n15 = sum(n12,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f302,plain,
n16 = sum(n12,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f303,plain,
n17 = sum(n12,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f304,plain,
n18 = sum(n12,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f305,plain,
n19 = sum(n12,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f306,plain,
n20 = sum(n12,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f307,plain,
n0 = sum(n12,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f308,plain,
n1 = sum(n12,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f309,plain,
n2 = sum(n12,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f310,plain,
n3 = sum(n12,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f311,plain,
n4 = sum(n12,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f312,plain,
n5 = sum(n12,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f313,plain,
n6 = sum(n12,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f314,plain,
n7 = sum(n12,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f315,plain,
n8 = sum(n12,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f316,plain,
n9 = sum(n12,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f317,plain,
n10 = sum(n12,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f318,plain,
n11 = sum(n12,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f319,plain,
n13 = sum(n13,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f320,plain,
n14 = sum(n13,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f321,plain,
n15 = sum(n13,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f322,plain,
n16 = sum(n13,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f323,plain,
n17 = sum(n13,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f324,plain,
n18 = sum(n13,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f325,plain,
n19 = sum(n13,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f326,plain,
n20 = sum(n13,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f327,plain,
n0 = sum(n13,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f328,plain,
n1 = sum(n13,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f329,plain,
n2 = sum(n13,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f330,plain,
n3 = sum(n13,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f331,plain,
n4 = sum(n13,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f332,plain,
n5 = sum(n13,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f333,plain,
n6 = sum(n13,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f334,plain,
n7 = sum(n13,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f335,plain,
n8 = sum(n13,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f336,plain,
n9 = sum(n13,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f337,plain,
n10 = sum(n13,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f338,plain,
n11 = sum(n13,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f339,plain,
n12 = sum(n13,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f340,plain,
n14 = sum(n14,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f341,plain,
n15 = sum(n14,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f342,plain,
n16 = sum(n14,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f343,plain,
n17 = sum(n14,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f344,plain,
n18 = sum(n14,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f345,plain,
n19 = sum(n14,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f346,plain,
n20 = sum(n14,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f347,plain,
n0 = sum(n14,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f348,plain,
n1 = sum(n14,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f349,plain,
n2 = sum(n14,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f350,plain,
n3 = sum(n14,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f351,plain,
n4 = sum(n14,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f352,plain,
n5 = sum(n14,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f353,plain,
n6 = sum(n14,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f354,plain,
n7 = sum(n14,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f355,plain,
n8 = sum(n14,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f356,plain,
n9 = sum(n14,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f357,plain,
n10 = sum(n14,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f358,plain,
n11 = sum(n14,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f359,plain,
n12 = sum(n14,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f360,plain,
n13 = sum(n14,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f361,plain,
n15 = sum(n15,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f362,plain,
n16 = sum(n15,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f363,plain,
n17 = sum(n15,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f364,plain,
n18 = sum(n15,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f365,plain,
n19 = sum(n15,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f366,plain,
n20 = sum(n15,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f367,plain,
n0 = sum(n15,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f368,plain,
n1 = sum(n15,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f369,plain,
n2 = sum(n15,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f370,plain,
n3 = sum(n15,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f371,plain,
n4 = sum(n15,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f372,plain,
n5 = sum(n15,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f373,plain,
n6 = sum(n15,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f374,plain,
n7 = sum(n15,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f375,plain,
n8 = sum(n15,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f376,plain,
n9 = sum(n15,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f377,plain,
n10 = sum(n15,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f378,plain,
n11 = sum(n15,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f379,plain,
n12 = sum(n15,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f380,plain,
n13 = sum(n15,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f381,plain,
n14 = sum(n15,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f382,plain,
n16 = sum(n16,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f383,plain,
n17 = sum(n16,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f384,plain,
n18 = sum(n16,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f385,plain,
n19 = sum(n16,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f386,plain,
n20 = sum(n16,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f387,plain,
n0 = sum(n16,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f388,plain,
n1 = sum(n16,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f389,plain,
n2 = sum(n16,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f390,plain,
n3 = sum(n16,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f391,plain,
n4 = sum(n16,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f392,plain,
n5 = sum(n16,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f393,plain,
n6 = sum(n16,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f394,plain,
n7 = sum(n16,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f395,plain,
n8 = sum(n16,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f396,plain,
n9 = sum(n16,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f397,plain,
n10 = sum(n16,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f398,plain,
n11 = sum(n16,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f399,plain,
n12 = sum(n16,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f400,plain,
n13 = sum(n16,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f401,plain,
n14 = sum(n16,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f402,plain,
n15 = sum(n16,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f403,plain,
n17 = sum(n17,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f404,plain,
n18 = sum(n17,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f405,plain,
n19 = sum(n17,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f406,plain,
n20 = sum(n17,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f407,plain,
n0 = sum(n17,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f408,plain,
n1 = sum(n17,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f409,plain,
n2 = sum(n17,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f410,plain,
n3 = sum(n17,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f411,plain,
n4 = sum(n17,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f412,plain,
n5 = sum(n17,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f413,plain,
n6 = sum(n17,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f414,plain,
n7 = sum(n17,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f415,plain,
n8 = sum(n17,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f416,plain,
n9 = sum(n17,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f417,plain,
n10 = sum(n17,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f418,plain,
n11 = sum(n17,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f419,plain,
n12 = sum(n17,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f420,plain,
n13 = sum(n17,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f421,plain,
n14 = sum(n17,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f422,plain,
n15 = sum(n17,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f423,plain,
n16 = sum(n17,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f424,plain,
n18 = sum(n18,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f425,plain,
n19 = sum(n18,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f426,plain,
n20 = sum(n18,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f427,plain,
n0 = sum(n18,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f428,plain,
n1 = sum(n18,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f429,plain,
n2 = sum(n18,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f430,plain,
n3 = sum(n18,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f431,plain,
n4 = sum(n18,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f432,plain,
n5 = sum(n18,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f433,plain,
n6 = sum(n18,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f434,plain,
n7 = sum(n18,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f435,plain,
n8 = sum(n18,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f436,plain,
n9 = sum(n18,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f437,plain,
n10 = sum(n18,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f438,plain,
n11 = sum(n18,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f439,plain,
n12 = sum(n18,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f440,plain,
n13 = sum(n18,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f441,plain,
n14 = sum(n18,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f442,plain,
n15 = sum(n18,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f443,plain,
n16 = sum(n18,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f444,plain,
n17 = sum(n18,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f445,plain,
n19 = sum(n19,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f446,plain,
n20 = sum(n19,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f447,plain,
n0 = sum(n19,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f448,plain,
n1 = sum(n19,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f449,plain,
n2 = sum(n19,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f450,plain,
n3 = sum(n19,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f451,plain,
n4 = sum(n19,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f452,plain,
n5 = sum(n19,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f453,plain,
n6 = sum(n19,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f454,plain,
n7 = sum(n19,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f455,plain,
n8 = sum(n19,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f456,plain,
n9 = sum(n19,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f457,plain,
n10 = sum(n19,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f458,plain,
n11 = sum(n19,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f459,plain,
n12 = sum(n19,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f460,plain,
n13 = sum(n19,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f461,plain,
n14 = sum(n19,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f462,plain,
n15 = sum(n19,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f463,plain,
n16 = sum(n19,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f464,plain,
n17 = sum(n19,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f465,plain,
n18 = sum(n19,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f466,plain,
n20 = sum(n20,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f467,plain,
n0 = sum(n20,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f468,plain,
n1 = sum(n20,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f469,plain,
n2 = sum(n20,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f470,plain,
n3 = sum(n20,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f471,plain,
n4 = sum(n20,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f472,plain,
n5 = sum(n20,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f473,plain,
n6 = sum(n20,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f474,plain,
n7 = sum(n20,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f475,plain,
n8 = sum(n20,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f476,plain,
n9 = sum(n20,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f477,plain,
n10 = sum(n20,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f478,plain,
n11 = sum(n20,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f479,plain,
n12 = sum(n20,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f480,plain,
n13 = sum(n20,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f481,plain,
n14 = sum(n20,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f482,plain,
n15 = sum(n20,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f483,plain,
n16 = sum(n20,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f484,plain,
n17 = sum(n20,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f485,plain,
n18 = sum(n20,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f486,plain,
n19 = sum(n20,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f487,plain,
( n20 = sK0
| n19 = sK0
| n18 = sK0
| n17 = sK0
| n16 = sK0
| n15 = sK0
| n14 = sK0
| n13 = sK0
| n12 = sK0
| n11 = sK0
| n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f3]) ).
fof(f488,plain,
( n20 = sK1
| n19 = sK1
| n18 = sK1
| n17 = sK1
| n16 = sK1
| n15 = sK1
| n14 = sK1
| n13 = sK1
| n12 = sK1
| n11 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f489,plain,
sK2 = sum(pred(sum(sK0,succ(sK1))),sum(sK1,pred(sum(sK0,sK1)))),
inference(cnf_transformation,[],[f3]) ).
fof(f490,plain,
n0 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f491,plain,
n1 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f492,plain,
n2 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f493,plain,
n3 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f494,plain,
n4 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f495,plain,
n5 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f496,plain,
n6 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f497,plain,
n7 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f498,plain,
n8 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f499,plain,
n9 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f500,plain,
n10 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f501,plain,
n11 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f502,plain,
n12 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f503,plain,
n13 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f504,plain,
n14 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f505,plain,
n15 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f506,plain,
n16 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f507,plain,
n17 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f508,plain,
n18 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f509,plain,
n19 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f510,plain,
n20 != sK2,
inference(cnf_transformation,[],[f3]) ).
cnf(c_259,plain,
n20 != sK2,
inference(cnf_transformation,[],[f510]) ).
cnf(c_260,plain,
n19 != sK2,
inference(cnf_transformation,[],[f509]) ).
cnf(c_261,plain,
n18 != sK2,
inference(cnf_transformation,[],[f508]) ).
cnf(c_262,plain,
n17 != sK2,
inference(cnf_transformation,[],[f507]) ).
cnf(c_263,plain,
n16 != sK2,
inference(cnf_transformation,[],[f506]) ).
cnf(c_264,plain,
n15 != sK2,
inference(cnf_transformation,[],[f505]) ).
cnf(c_265,plain,
n14 != sK2,
inference(cnf_transformation,[],[f504]) ).
cnf(c_266,plain,
n13 != sK2,
inference(cnf_transformation,[],[f503]) ).
cnf(c_267,plain,
n12 != sK2,
inference(cnf_transformation,[],[f502]) ).
cnf(c_268,plain,
n11 != sK2,
inference(cnf_transformation,[],[f501]) ).
cnf(c_269,plain,
n10 != sK2,
inference(cnf_transformation,[],[f500]) ).
cnf(c_270,plain,
n9 != sK2,
inference(cnf_transformation,[],[f499]) ).
cnf(c_271,plain,
n8 != sK2,
inference(cnf_transformation,[],[f498]) ).
cnf(c_272,plain,
n7 != sK2,
inference(cnf_transformation,[],[f497]) ).
cnf(c_273,plain,
n6 != sK2,
inference(cnf_transformation,[],[f496]) ).
cnf(c_274,plain,
n5 != sK2,
inference(cnf_transformation,[],[f495]) ).
cnf(c_275,plain,
n4 != sK2,
inference(cnf_transformation,[],[f494]) ).
cnf(c_276,plain,
n3 != sK2,
inference(cnf_transformation,[],[f493]) ).
cnf(c_277,plain,
n2 != sK2,
inference(cnf_transformation,[],[f492]) ).
cnf(c_278,plain,
n1 != sK2,
inference(cnf_transformation,[],[f491]) ).
cnf(c_279,plain,
n0 != sK2,
inference(cnf_transformation,[],[f490]) ).
cnf(c_280,plain,
sum(pred(sum(sK0,succ(sK1))),sum(sK1,pred(sum(sK0,sK1)))) = sK2,
inference(cnf_transformation,[],[f489]) ).
cnf(c_281,plain,
( n19 = sK1
| n20 = sK1
| n18 = sK1
| n17 = sK1
| n16 = sK1
| n15 = sK1
| n14 = sK1
| n13 = sK1
| n12 = sK1
| n11 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 ),
inference(cnf_transformation,[],[f488]) ).
cnf(c_282,plain,
( n19 = sK0
| n20 = sK0
| n18 = sK0
| n17 = sK0
| n16 = sK0
| n15 = sK0
| n14 = sK0
| n13 = sK0
| n12 = sK0
| n11 = sK0
| n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f487]) ).
cnf(c_283,plain,
sum(n20,n20) = n19,
inference(cnf_transformation,[],[f486]) ).
cnf(c_284,plain,
sum(n20,n19) = n18,
inference(cnf_transformation,[],[f485]) ).
cnf(c_285,plain,
sum(n20,n18) = n17,
inference(cnf_transformation,[],[f484]) ).
cnf(c_286,plain,
sum(n20,n17) = n16,
inference(cnf_transformation,[],[f483]) ).
cnf(c_287,plain,
sum(n20,n16) = n15,
inference(cnf_transformation,[],[f482]) ).
cnf(c_288,plain,
sum(n20,n15) = n14,
inference(cnf_transformation,[],[f481]) ).
cnf(c_289,plain,
sum(n20,n14) = n13,
inference(cnf_transformation,[],[f480]) ).
cnf(c_290,plain,
sum(n20,n13) = n12,
inference(cnf_transformation,[],[f479]) ).
cnf(c_291,plain,
sum(n20,n12) = n11,
inference(cnf_transformation,[],[f478]) ).
cnf(c_292,plain,
sum(n20,n11) = n10,
inference(cnf_transformation,[],[f477]) ).
cnf(c_293,plain,
sum(n20,n10) = n9,
inference(cnf_transformation,[],[f476]) ).
cnf(c_294,plain,
sum(n20,n9) = n8,
inference(cnf_transformation,[],[f475]) ).
cnf(c_295,plain,
sum(n20,n8) = n7,
inference(cnf_transformation,[],[f474]) ).
cnf(c_296,plain,
sum(n20,n7) = n6,
inference(cnf_transformation,[],[f473]) ).
cnf(c_297,plain,
sum(n20,n6) = n5,
inference(cnf_transformation,[],[f472]) ).
cnf(c_298,plain,
sum(n20,n5) = n4,
inference(cnf_transformation,[],[f471]) ).
cnf(c_299,plain,
sum(n20,n4) = n3,
inference(cnf_transformation,[],[f470]) ).
cnf(c_300,plain,
sum(n20,n3) = n2,
inference(cnf_transformation,[],[f469]) ).
cnf(c_301,plain,
sum(n20,n2) = n1,
inference(cnf_transformation,[],[f468]) ).
cnf(c_302,plain,
sum(n20,n1) = n0,
inference(cnf_transformation,[],[f467]) ).
cnf(c_303,plain,
sum(n20,n0) = n20,
inference(cnf_transformation,[],[f466]) ).
cnf(c_304,plain,
sum(n19,n20) = n18,
inference(cnf_transformation,[],[f465]) ).
cnf(c_305,plain,
sum(n19,n19) = n17,
inference(cnf_transformation,[],[f464]) ).
cnf(c_306,plain,
sum(n19,n18) = n16,
inference(cnf_transformation,[],[f463]) ).
cnf(c_307,plain,
sum(n19,n17) = n15,
inference(cnf_transformation,[],[f462]) ).
cnf(c_308,plain,
sum(n19,n16) = n14,
inference(cnf_transformation,[],[f461]) ).
cnf(c_309,plain,
sum(n19,n15) = n13,
inference(cnf_transformation,[],[f460]) ).
cnf(c_310,plain,
sum(n19,n14) = n12,
inference(cnf_transformation,[],[f459]) ).
cnf(c_311,plain,
sum(n19,n13) = n11,
inference(cnf_transformation,[],[f458]) ).
cnf(c_312,plain,
sum(n19,n12) = n10,
inference(cnf_transformation,[],[f457]) ).
cnf(c_313,plain,
sum(n19,n11) = n9,
inference(cnf_transformation,[],[f456]) ).
cnf(c_314,plain,
sum(n19,n10) = n8,
inference(cnf_transformation,[],[f455]) ).
cnf(c_315,plain,
sum(n19,n9) = n7,
inference(cnf_transformation,[],[f454]) ).
cnf(c_316,plain,
sum(n19,n8) = n6,
inference(cnf_transformation,[],[f453]) ).
cnf(c_317,plain,
sum(n19,n7) = n5,
inference(cnf_transformation,[],[f452]) ).
cnf(c_318,plain,
sum(n19,n6) = n4,
inference(cnf_transformation,[],[f451]) ).
cnf(c_319,plain,
sum(n19,n5) = n3,
inference(cnf_transformation,[],[f450]) ).
cnf(c_320,plain,
sum(n19,n4) = n2,
inference(cnf_transformation,[],[f449]) ).
cnf(c_321,plain,
sum(n19,n3) = n1,
inference(cnf_transformation,[],[f448]) ).
cnf(c_322,plain,
sum(n19,n2) = n0,
inference(cnf_transformation,[],[f447]) ).
cnf(c_323,plain,
sum(n19,n1) = n20,
inference(cnf_transformation,[],[f446]) ).
cnf(c_324,plain,
sum(n19,n0) = n19,
inference(cnf_transformation,[],[f445]) ).
cnf(c_325,plain,
sum(n18,n20) = n17,
inference(cnf_transformation,[],[f444]) ).
cnf(c_326,plain,
sum(n18,n19) = n16,
inference(cnf_transformation,[],[f443]) ).
cnf(c_327,plain,
sum(n18,n18) = n15,
inference(cnf_transformation,[],[f442]) ).
cnf(c_328,plain,
sum(n18,n17) = n14,
inference(cnf_transformation,[],[f441]) ).
cnf(c_329,plain,
sum(n18,n16) = n13,
inference(cnf_transformation,[],[f440]) ).
cnf(c_330,plain,
sum(n18,n15) = n12,
inference(cnf_transformation,[],[f439]) ).
cnf(c_331,plain,
sum(n18,n14) = n11,
inference(cnf_transformation,[],[f438]) ).
cnf(c_332,plain,
sum(n18,n13) = n10,
inference(cnf_transformation,[],[f437]) ).
cnf(c_333,plain,
sum(n18,n12) = n9,
inference(cnf_transformation,[],[f436]) ).
cnf(c_334,plain,
sum(n18,n11) = n8,
inference(cnf_transformation,[],[f435]) ).
cnf(c_335,plain,
sum(n18,n10) = n7,
inference(cnf_transformation,[],[f434]) ).
cnf(c_336,plain,
sum(n18,n9) = n6,
inference(cnf_transformation,[],[f433]) ).
cnf(c_337,plain,
sum(n18,n8) = n5,
inference(cnf_transformation,[],[f432]) ).
cnf(c_338,plain,
sum(n18,n7) = n4,
inference(cnf_transformation,[],[f431]) ).
cnf(c_339,plain,
sum(n18,n6) = n3,
inference(cnf_transformation,[],[f430]) ).
cnf(c_340,plain,
sum(n18,n5) = n2,
inference(cnf_transformation,[],[f429]) ).
cnf(c_341,plain,
sum(n18,n4) = n1,
inference(cnf_transformation,[],[f428]) ).
cnf(c_342,plain,
sum(n18,n3) = n0,
inference(cnf_transformation,[],[f427]) ).
cnf(c_343,plain,
sum(n18,n2) = n20,
inference(cnf_transformation,[],[f426]) ).
cnf(c_344,plain,
sum(n18,n1) = n19,
inference(cnf_transformation,[],[f425]) ).
cnf(c_345,plain,
sum(n18,n0) = n18,
inference(cnf_transformation,[],[f424]) ).
cnf(c_346,plain,
sum(n17,n20) = n16,
inference(cnf_transformation,[],[f423]) ).
cnf(c_347,plain,
sum(n17,n19) = n15,
inference(cnf_transformation,[],[f422]) ).
cnf(c_348,plain,
sum(n17,n18) = n14,
inference(cnf_transformation,[],[f421]) ).
cnf(c_349,plain,
sum(n17,n17) = n13,
inference(cnf_transformation,[],[f420]) ).
cnf(c_350,plain,
sum(n17,n16) = n12,
inference(cnf_transformation,[],[f419]) ).
cnf(c_351,plain,
sum(n17,n15) = n11,
inference(cnf_transformation,[],[f418]) ).
cnf(c_352,plain,
sum(n17,n14) = n10,
inference(cnf_transformation,[],[f417]) ).
cnf(c_353,plain,
sum(n17,n13) = n9,
inference(cnf_transformation,[],[f416]) ).
cnf(c_354,plain,
sum(n17,n12) = n8,
inference(cnf_transformation,[],[f415]) ).
cnf(c_355,plain,
sum(n17,n11) = n7,
inference(cnf_transformation,[],[f414]) ).
cnf(c_356,plain,
sum(n17,n10) = n6,
inference(cnf_transformation,[],[f413]) ).
cnf(c_357,plain,
sum(n17,n9) = n5,
inference(cnf_transformation,[],[f412]) ).
cnf(c_358,plain,
sum(n17,n8) = n4,
inference(cnf_transformation,[],[f411]) ).
cnf(c_359,plain,
sum(n17,n7) = n3,
inference(cnf_transformation,[],[f410]) ).
cnf(c_360,plain,
sum(n17,n6) = n2,
inference(cnf_transformation,[],[f409]) ).
cnf(c_361,plain,
sum(n17,n5) = n1,
inference(cnf_transformation,[],[f408]) ).
cnf(c_362,plain,
sum(n17,n4) = n0,
inference(cnf_transformation,[],[f407]) ).
cnf(c_363,plain,
sum(n17,n3) = n20,
inference(cnf_transformation,[],[f406]) ).
cnf(c_364,plain,
sum(n17,n2) = n19,
inference(cnf_transformation,[],[f405]) ).
cnf(c_365,plain,
sum(n17,n1) = n18,
inference(cnf_transformation,[],[f404]) ).
cnf(c_366,plain,
sum(n17,n0) = n17,
inference(cnf_transformation,[],[f403]) ).
cnf(c_367,plain,
sum(n16,n20) = n15,
inference(cnf_transformation,[],[f402]) ).
cnf(c_368,plain,
sum(n16,n19) = n14,
inference(cnf_transformation,[],[f401]) ).
cnf(c_369,plain,
sum(n16,n18) = n13,
inference(cnf_transformation,[],[f400]) ).
cnf(c_370,plain,
sum(n16,n17) = n12,
inference(cnf_transformation,[],[f399]) ).
cnf(c_371,plain,
sum(n16,n16) = n11,
inference(cnf_transformation,[],[f398]) ).
cnf(c_372,plain,
sum(n16,n15) = n10,
inference(cnf_transformation,[],[f397]) ).
cnf(c_373,plain,
sum(n16,n14) = n9,
inference(cnf_transformation,[],[f396]) ).
cnf(c_374,plain,
sum(n16,n13) = n8,
inference(cnf_transformation,[],[f395]) ).
cnf(c_375,plain,
sum(n16,n12) = n7,
inference(cnf_transformation,[],[f394]) ).
cnf(c_376,plain,
sum(n16,n11) = n6,
inference(cnf_transformation,[],[f393]) ).
cnf(c_377,plain,
sum(n16,n10) = n5,
inference(cnf_transformation,[],[f392]) ).
cnf(c_378,plain,
sum(n16,n9) = n4,
inference(cnf_transformation,[],[f391]) ).
cnf(c_379,plain,
sum(n16,n8) = n3,
inference(cnf_transformation,[],[f390]) ).
cnf(c_380,plain,
sum(n16,n7) = n2,
inference(cnf_transformation,[],[f389]) ).
cnf(c_381,plain,
sum(n16,n6) = n1,
inference(cnf_transformation,[],[f388]) ).
cnf(c_382,plain,
sum(n16,n5) = n0,
inference(cnf_transformation,[],[f387]) ).
cnf(c_383,plain,
sum(n16,n4) = n20,
inference(cnf_transformation,[],[f386]) ).
cnf(c_384,plain,
sum(n16,n3) = n19,
inference(cnf_transformation,[],[f385]) ).
cnf(c_385,plain,
sum(n16,n2) = n18,
inference(cnf_transformation,[],[f384]) ).
cnf(c_386,plain,
sum(n16,n1) = n17,
inference(cnf_transformation,[],[f383]) ).
cnf(c_387,plain,
sum(n16,n0) = n16,
inference(cnf_transformation,[],[f382]) ).
cnf(c_388,plain,
sum(n15,n20) = n14,
inference(cnf_transformation,[],[f381]) ).
cnf(c_389,plain,
sum(n15,n19) = n13,
inference(cnf_transformation,[],[f380]) ).
cnf(c_390,plain,
sum(n15,n18) = n12,
inference(cnf_transformation,[],[f379]) ).
cnf(c_391,plain,
sum(n15,n17) = n11,
inference(cnf_transformation,[],[f378]) ).
cnf(c_392,plain,
sum(n15,n16) = n10,
inference(cnf_transformation,[],[f377]) ).
cnf(c_393,plain,
sum(n15,n15) = n9,
inference(cnf_transformation,[],[f376]) ).
cnf(c_394,plain,
sum(n15,n14) = n8,
inference(cnf_transformation,[],[f375]) ).
cnf(c_395,plain,
sum(n15,n13) = n7,
inference(cnf_transformation,[],[f374]) ).
cnf(c_396,plain,
sum(n15,n12) = n6,
inference(cnf_transformation,[],[f373]) ).
cnf(c_397,plain,
sum(n15,n11) = n5,
inference(cnf_transformation,[],[f372]) ).
cnf(c_398,plain,
sum(n15,n10) = n4,
inference(cnf_transformation,[],[f371]) ).
cnf(c_399,plain,
sum(n15,n9) = n3,
inference(cnf_transformation,[],[f370]) ).
cnf(c_400,plain,
sum(n15,n8) = n2,
inference(cnf_transformation,[],[f369]) ).
cnf(c_401,plain,
sum(n15,n7) = n1,
inference(cnf_transformation,[],[f368]) ).
cnf(c_402,plain,
sum(n15,n6) = n0,
inference(cnf_transformation,[],[f367]) ).
cnf(c_403,plain,
sum(n15,n5) = n20,
inference(cnf_transformation,[],[f366]) ).
cnf(c_404,plain,
sum(n15,n4) = n19,
inference(cnf_transformation,[],[f365]) ).
cnf(c_405,plain,
sum(n15,n3) = n18,
inference(cnf_transformation,[],[f364]) ).
cnf(c_406,plain,
sum(n15,n2) = n17,
inference(cnf_transformation,[],[f363]) ).
cnf(c_407,plain,
sum(n15,n1) = n16,
inference(cnf_transformation,[],[f362]) ).
cnf(c_408,plain,
sum(n15,n0) = n15,
inference(cnf_transformation,[],[f361]) ).
cnf(c_409,plain,
sum(n14,n20) = n13,
inference(cnf_transformation,[],[f360]) ).
cnf(c_410,plain,
sum(n14,n19) = n12,
inference(cnf_transformation,[],[f359]) ).
cnf(c_411,plain,
sum(n14,n18) = n11,
inference(cnf_transformation,[],[f358]) ).
cnf(c_412,plain,
sum(n14,n17) = n10,
inference(cnf_transformation,[],[f357]) ).
cnf(c_413,plain,
sum(n14,n16) = n9,
inference(cnf_transformation,[],[f356]) ).
cnf(c_414,plain,
sum(n14,n15) = n8,
inference(cnf_transformation,[],[f355]) ).
cnf(c_415,plain,
sum(n14,n14) = n7,
inference(cnf_transformation,[],[f354]) ).
cnf(c_416,plain,
sum(n14,n13) = n6,
inference(cnf_transformation,[],[f353]) ).
cnf(c_417,plain,
sum(n14,n12) = n5,
inference(cnf_transformation,[],[f352]) ).
cnf(c_418,plain,
sum(n14,n11) = n4,
inference(cnf_transformation,[],[f351]) ).
cnf(c_419,plain,
sum(n14,n10) = n3,
inference(cnf_transformation,[],[f350]) ).
cnf(c_420,plain,
sum(n14,n9) = n2,
inference(cnf_transformation,[],[f349]) ).
cnf(c_421,plain,
sum(n14,n8) = n1,
inference(cnf_transformation,[],[f348]) ).
cnf(c_422,plain,
sum(n14,n7) = n0,
inference(cnf_transformation,[],[f347]) ).
cnf(c_423,plain,
sum(n14,n6) = n20,
inference(cnf_transformation,[],[f346]) ).
cnf(c_424,plain,
sum(n14,n5) = n19,
inference(cnf_transformation,[],[f345]) ).
cnf(c_425,plain,
sum(n14,n4) = n18,
inference(cnf_transformation,[],[f344]) ).
cnf(c_426,plain,
sum(n14,n3) = n17,
inference(cnf_transformation,[],[f343]) ).
cnf(c_427,plain,
sum(n14,n2) = n16,
inference(cnf_transformation,[],[f342]) ).
cnf(c_428,plain,
sum(n14,n1) = n15,
inference(cnf_transformation,[],[f341]) ).
cnf(c_429,plain,
sum(n14,n0) = n14,
inference(cnf_transformation,[],[f340]) ).
cnf(c_430,plain,
sum(n13,n20) = n12,
inference(cnf_transformation,[],[f339]) ).
cnf(c_431,plain,
sum(n13,n19) = n11,
inference(cnf_transformation,[],[f338]) ).
cnf(c_432,plain,
sum(n13,n18) = n10,
inference(cnf_transformation,[],[f337]) ).
cnf(c_433,plain,
sum(n13,n17) = n9,
inference(cnf_transformation,[],[f336]) ).
cnf(c_434,plain,
sum(n13,n16) = n8,
inference(cnf_transformation,[],[f335]) ).
cnf(c_435,plain,
sum(n13,n15) = n7,
inference(cnf_transformation,[],[f334]) ).
cnf(c_436,plain,
sum(n13,n14) = n6,
inference(cnf_transformation,[],[f333]) ).
cnf(c_437,plain,
sum(n13,n13) = n5,
inference(cnf_transformation,[],[f332]) ).
cnf(c_438,plain,
sum(n13,n12) = n4,
inference(cnf_transformation,[],[f331]) ).
cnf(c_439,plain,
sum(n13,n11) = n3,
inference(cnf_transformation,[],[f330]) ).
cnf(c_440,plain,
sum(n13,n10) = n2,
inference(cnf_transformation,[],[f329]) ).
cnf(c_441,plain,
sum(n13,n9) = n1,
inference(cnf_transformation,[],[f328]) ).
cnf(c_442,plain,
sum(n13,n8) = n0,
inference(cnf_transformation,[],[f327]) ).
cnf(c_443,plain,
sum(n13,n7) = n20,
inference(cnf_transformation,[],[f326]) ).
cnf(c_444,plain,
sum(n13,n6) = n19,
inference(cnf_transformation,[],[f325]) ).
cnf(c_445,plain,
sum(n13,n5) = n18,
inference(cnf_transformation,[],[f324]) ).
cnf(c_446,plain,
sum(n13,n4) = n17,
inference(cnf_transformation,[],[f323]) ).
cnf(c_447,plain,
sum(n13,n3) = n16,
inference(cnf_transformation,[],[f322]) ).
cnf(c_448,plain,
sum(n13,n2) = n15,
inference(cnf_transformation,[],[f321]) ).
cnf(c_449,plain,
sum(n13,n1) = n14,
inference(cnf_transformation,[],[f320]) ).
cnf(c_450,plain,
sum(n13,n0) = n13,
inference(cnf_transformation,[],[f319]) ).
cnf(c_451,plain,
sum(n12,n20) = n11,
inference(cnf_transformation,[],[f318]) ).
cnf(c_452,plain,
sum(n12,n19) = n10,
inference(cnf_transformation,[],[f317]) ).
cnf(c_453,plain,
sum(n12,n18) = n9,
inference(cnf_transformation,[],[f316]) ).
cnf(c_454,plain,
sum(n12,n17) = n8,
inference(cnf_transformation,[],[f315]) ).
cnf(c_455,plain,
sum(n12,n16) = n7,
inference(cnf_transformation,[],[f314]) ).
cnf(c_456,plain,
sum(n12,n15) = n6,
inference(cnf_transformation,[],[f313]) ).
cnf(c_457,plain,
sum(n12,n14) = n5,
inference(cnf_transformation,[],[f312]) ).
cnf(c_458,plain,
sum(n12,n13) = n4,
inference(cnf_transformation,[],[f311]) ).
cnf(c_459,plain,
sum(n12,n12) = n3,
inference(cnf_transformation,[],[f310]) ).
cnf(c_460,plain,
sum(n12,n11) = n2,
inference(cnf_transformation,[],[f309]) ).
cnf(c_461,plain,
sum(n12,n10) = n1,
inference(cnf_transformation,[],[f308]) ).
cnf(c_462,plain,
sum(n12,n9) = n0,
inference(cnf_transformation,[],[f307]) ).
cnf(c_463,plain,
sum(n12,n8) = n20,
inference(cnf_transformation,[],[f306]) ).
cnf(c_464,plain,
sum(n12,n7) = n19,
inference(cnf_transformation,[],[f305]) ).
cnf(c_465,plain,
sum(n12,n6) = n18,
inference(cnf_transformation,[],[f304]) ).
cnf(c_466,plain,
sum(n12,n5) = n17,
inference(cnf_transformation,[],[f303]) ).
cnf(c_467,plain,
sum(n12,n4) = n16,
inference(cnf_transformation,[],[f302]) ).
cnf(c_468,plain,
sum(n12,n3) = n15,
inference(cnf_transformation,[],[f301]) ).
cnf(c_469,plain,
sum(n12,n2) = n14,
inference(cnf_transformation,[],[f300]) ).
cnf(c_470,plain,
sum(n12,n1) = n13,
inference(cnf_transformation,[],[f299]) ).
cnf(c_471,plain,
sum(n12,n0) = n12,
inference(cnf_transformation,[],[f298]) ).
cnf(c_472,plain,
sum(n11,n20) = n10,
inference(cnf_transformation,[],[f297]) ).
cnf(c_473,plain,
sum(n11,n19) = n9,
inference(cnf_transformation,[],[f296]) ).
cnf(c_474,plain,
sum(n11,n18) = n8,
inference(cnf_transformation,[],[f295]) ).
cnf(c_475,plain,
sum(n11,n17) = n7,
inference(cnf_transformation,[],[f294]) ).
cnf(c_476,plain,
sum(n11,n16) = n6,
inference(cnf_transformation,[],[f293]) ).
cnf(c_477,plain,
sum(n11,n15) = n5,
inference(cnf_transformation,[],[f292]) ).
cnf(c_478,plain,
sum(n11,n14) = n4,
inference(cnf_transformation,[],[f291]) ).
cnf(c_479,plain,
sum(n11,n13) = n3,
inference(cnf_transformation,[],[f290]) ).
cnf(c_480,plain,
sum(n11,n12) = n2,
inference(cnf_transformation,[],[f289]) ).
cnf(c_481,plain,
sum(n11,n11) = n1,
inference(cnf_transformation,[],[f288]) ).
cnf(c_482,plain,
sum(n11,n10) = n0,
inference(cnf_transformation,[],[f287]) ).
cnf(c_483,plain,
sum(n11,n9) = n20,
inference(cnf_transformation,[],[f286]) ).
cnf(c_484,plain,
sum(n11,n8) = n19,
inference(cnf_transformation,[],[f285]) ).
cnf(c_485,plain,
sum(n11,n7) = n18,
inference(cnf_transformation,[],[f284]) ).
cnf(c_486,plain,
sum(n11,n6) = n17,
inference(cnf_transformation,[],[f283]) ).
cnf(c_487,plain,
sum(n11,n5) = n16,
inference(cnf_transformation,[],[f282]) ).
cnf(c_488,plain,
sum(n11,n4) = n15,
inference(cnf_transformation,[],[f281]) ).
cnf(c_489,plain,
sum(n11,n3) = n14,
inference(cnf_transformation,[],[f280]) ).
cnf(c_490,plain,
sum(n11,n2) = n13,
inference(cnf_transformation,[],[f279]) ).
cnf(c_491,plain,
sum(n11,n1) = n12,
inference(cnf_transformation,[],[f278]) ).
cnf(c_492,plain,
sum(n11,n0) = n11,
inference(cnf_transformation,[],[f277]) ).
cnf(c_493,plain,
sum(n10,n20) = n9,
inference(cnf_transformation,[],[f276]) ).
cnf(c_494,plain,
sum(n10,n19) = n8,
inference(cnf_transformation,[],[f275]) ).
cnf(c_495,plain,
sum(n10,n18) = n7,
inference(cnf_transformation,[],[f274]) ).
cnf(c_496,plain,
sum(n10,n17) = n6,
inference(cnf_transformation,[],[f273]) ).
cnf(c_497,plain,
sum(n10,n16) = n5,
inference(cnf_transformation,[],[f272]) ).
cnf(c_498,plain,
sum(n10,n15) = n4,
inference(cnf_transformation,[],[f271]) ).
cnf(c_499,plain,
sum(n10,n14) = n3,
inference(cnf_transformation,[],[f270]) ).
cnf(c_500,plain,
sum(n10,n13) = n2,
inference(cnf_transformation,[],[f269]) ).
cnf(c_501,plain,
sum(n10,n12) = n1,
inference(cnf_transformation,[],[f268]) ).
cnf(c_502,plain,
sum(n10,n11) = n0,
inference(cnf_transformation,[],[f267]) ).
cnf(c_503,plain,
sum(n10,n10) = n20,
inference(cnf_transformation,[],[f266]) ).
cnf(c_504,plain,
sum(n10,n9) = n19,
inference(cnf_transformation,[],[f265]) ).
cnf(c_505,plain,
sum(n10,n8) = n18,
inference(cnf_transformation,[],[f264]) ).
cnf(c_506,plain,
sum(n10,n7) = n17,
inference(cnf_transformation,[],[f263]) ).
cnf(c_507,plain,
sum(n10,n6) = n16,
inference(cnf_transformation,[],[f262]) ).
cnf(c_508,plain,
sum(n10,n5) = n15,
inference(cnf_transformation,[],[f261]) ).
cnf(c_509,plain,
sum(n10,n4) = n14,
inference(cnf_transformation,[],[f260]) ).
cnf(c_510,plain,
sum(n10,n3) = n13,
inference(cnf_transformation,[],[f259]) ).
cnf(c_511,plain,
sum(n10,n2) = n12,
inference(cnf_transformation,[],[f258]) ).
cnf(c_512,plain,
sum(n10,n1) = n11,
inference(cnf_transformation,[],[f257]) ).
cnf(c_513,plain,
sum(n10,n0) = n10,
inference(cnf_transformation,[],[f256]) ).
cnf(c_514,plain,
sum(n9,n20) = n8,
inference(cnf_transformation,[],[f255]) ).
cnf(c_515,plain,
sum(n9,n19) = n7,
inference(cnf_transformation,[],[f254]) ).
cnf(c_516,plain,
sum(n9,n18) = n6,
inference(cnf_transformation,[],[f253]) ).
cnf(c_517,plain,
sum(n9,n17) = n5,
inference(cnf_transformation,[],[f252]) ).
cnf(c_518,plain,
sum(n9,n16) = n4,
inference(cnf_transformation,[],[f251]) ).
cnf(c_519,plain,
sum(n9,n15) = n3,
inference(cnf_transformation,[],[f250]) ).
cnf(c_520,plain,
sum(n9,n14) = n2,
inference(cnf_transformation,[],[f249]) ).
cnf(c_521,plain,
sum(n9,n13) = n1,
inference(cnf_transformation,[],[f248]) ).
cnf(c_522,plain,
sum(n9,n12) = n0,
inference(cnf_transformation,[],[f247]) ).
cnf(c_523,plain,
sum(n9,n11) = n20,
inference(cnf_transformation,[],[f246]) ).
cnf(c_524,plain,
sum(n9,n10) = n19,
inference(cnf_transformation,[],[f245]) ).
cnf(c_525,plain,
sum(n9,n9) = n18,
inference(cnf_transformation,[],[f244]) ).
cnf(c_526,plain,
sum(n9,n8) = n17,
inference(cnf_transformation,[],[f243]) ).
cnf(c_527,plain,
sum(n9,n7) = n16,
inference(cnf_transformation,[],[f242]) ).
cnf(c_528,plain,
sum(n9,n6) = n15,
inference(cnf_transformation,[],[f241]) ).
cnf(c_529,plain,
sum(n9,n5) = n14,
inference(cnf_transformation,[],[f240]) ).
cnf(c_530,plain,
sum(n9,n4) = n13,
inference(cnf_transformation,[],[f239]) ).
cnf(c_531,plain,
sum(n9,n3) = n12,
inference(cnf_transformation,[],[f238]) ).
cnf(c_532,plain,
sum(n9,n2) = n11,
inference(cnf_transformation,[],[f237]) ).
cnf(c_533,plain,
sum(n9,n1) = n10,
inference(cnf_transformation,[],[f236]) ).
cnf(c_534,plain,
sum(n9,n0) = n9,
inference(cnf_transformation,[],[f235]) ).
cnf(c_535,plain,
sum(n8,n20) = n7,
inference(cnf_transformation,[],[f234]) ).
cnf(c_536,plain,
sum(n8,n19) = n6,
inference(cnf_transformation,[],[f233]) ).
cnf(c_537,plain,
sum(n8,n18) = n5,
inference(cnf_transformation,[],[f232]) ).
cnf(c_538,plain,
sum(n8,n17) = n4,
inference(cnf_transformation,[],[f231]) ).
cnf(c_539,plain,
sum(n8,n16) = n3,
inference(cnf_transformation,[],[f230]) ).
cnf(c_540,plain,
sum(n8,n15) = n2,
inference(cnf_transformation,[],[f229]) ).
cnf(c_541,plain,
sum(n8,n14) = n1,
inference(cnf_transformation,[],[f228]) ).
cnf(c_542,plain,
sum(n8,n13) = n0,
inference(cnf_transformation,[],[f227]) ).
cnf(c_543,plain,
sum(n8,n12) = n20,
inference(cnf_transformation,[],[f226]) ).
cnf(c_544,plain,
sum(n8,n11) = n19,
inference(cnf_transformation,[],[f225]) ).
cnf(c_545,plain,
sum(n8,n10) = n18,
inference(cnf_transformation,[],[f224]) ).
cnf(c_546,plain,
sum(n8,n9) = n17,
inference(cnf_transformation,[],[f223]) ).
cnf(c_547,plain,
sum(n8,n8) = n16,
inference(cnf_transformation,[],[f222]) ).
cnf(c_548,plain,
sum(n8,n7) = n15,
inference(cnf_transformation,[],[f221]) ).
cnf(c_549,plain,
sum(n8,n6) = n14,
inference(cnf_transformation,[],[f220]) ).
cnf(c_550,plain,
sum(n8,n5) = n13,
inference(cnf_transformation,[],[f219]) ).
cnf(c_551,plain,
sum(n8,n4) = n12,
inference(cnf_transformation,[],[f218]) ).
cnf(c_552,plain,
sum(n8,n3) = n11,
inference(cnf_transformation,[],[f217]) ).
cnf(c_553,plain,
sum(n8,n2) = n10,
inference(cnf_transformation,[],[f216]) ).
cnf(c_554,plain,
sum(n8,n1) = n9,
inference(cnf_transformation,[],[f215]) ).
cnf(c_555,plain,
sum(n8,n0) = n8,
inference(cnf_transformation,[],[f214]) ).
cnf(c_556,plain,
sum(n7,n20) = n6,
inference(cnf_transformation,[],[f213]) ).
cnf(c_557,plain,
sum(n7,n19) = n5,
inference(cnf_transformation,[],[f212]) ).
cnf(c_558,plain,
sum(n7,n18) = n4,
inference(cnf_transformation,[],[f211]) ).
cnf(c_559,plain,
sum(n7,n17) = n3,
inference(cnf_transformation,[],[f210]) ).
cnf(c_560,plain,
sum(n7,n16) = n2,
inference(cnf_transformation,[],[f209]) ).
cnf(c_561,plain,
sum(n7,n15) = n1,
inference(cnf_transformation,[],[f208]) ).
cnf(c_562,plain,
sum(n7,n14) = n0,
inference(cnf_transformation,[],[f207]) ).
cnf(c_563,plain,
sum(n7,n13) = n20,
inference(cnf_transformation,[],[f206]) ).
cnf(c_564,plain,
sum(n7,n12) = n19,
inference(cnf_transformation,[],[f205]) ).
cnf(c_565,plain,
sum(n7,n11) = n18,
inference(cnf_transformation,[],[f204]) ).
cnf(c_566,plain,
sum(n7,n10) = n17,
inference(cnf_transformation,[],[f203]) ).
cnf(c_567,plain,
sum(n7,n9) = n16,
inference(cnf_transformation,[],[f202]) ).
cnf(c_568,plain,
sum(n7,n8) = n15,
inference(cnf_transformation,[],[f201]) ).
cnf(c_569,plain,
sum(n7,n7) = n14,
inference(cnf_transformation,[],[f200]) ).
cnf(c_570,plain,
sum(n7,n6) = n13,
inference(cnf_transformation,[],[f199]) ).
cnf(c_571,plain,
sum(n7,n5) = n12,
inference(cnf_transformation,[],[f198]) ).
cnf(c_572,plain,
sum(n7,n4) = n11,
inference(cnf_transformation,[],[f197]) ).
cnf(c_573,plain,
sum(n7,n3) = n10,
inference(cnf_transformation,[],[f196]) ).
cnf(c_574,plain,
sum(n7,n2) = n9,
inference(cnf_transformation,[],[f195]) ).
cnf(c_575,plain,
sum(n7,n1) = n8,
inference(cnf_transformation,[],[f194]) ).
cnf(c_576,plain,
sum(n7,n0) = n7,
inference(cnf_transformation,[],[f193]) ).
cnf(c_577,plain,
sum(n6,n20) = n5,
inference(cnf_transformation,[],[f192]) ).
cnf(c_578,plain,
sum(n6,n19) = n4,
inference(cnf_transformation,[],[f191]) ).
cnf(c_579,plain,
sum(n6,n18) = n3,
inference(cnf_transformation,[],[f190]) ).
cnf(c_580,plain,
sum(n6,n17) = n2,
inference(cnf_transformation,[],[f189]) ).
cnf(c_581,plain,
sum(n6,n16) = n1,
inference(cnf_transformation,[],[f188]) ).
cnf(c_582,plain,
sum(n6,n15) = n0,
inference(cnf_transformation,[],[f187]) ).
cnf(c_583,plain,
sum(n6,n14) = n20,
inference(cnf_transformation,[],[f186]) ).
cnf(c_584,plain,
sum(n6,n13) = n19,
inference(cnf_transformation,[],[f185]) ).
cnf(c_585,plain,
sum(n6,n12) = n18,
inference(cnf_transformation,[],[f184]) ).
cnf(c_586,plain,
sum(n6,n11) = n17,
inference(cnf_transformation,[],[f183]) ).
cnf(c_587,plain,
sum(n6,n10) = n16,
inference(cnf_transformation,[],[f182]) ).
cnf(c_588,plain,
sum(n6,n9) = n15,
inference(cnf_transformation,[],[f181]) ).
cnf(c_589,plain,
sum(n6,n8) = n14,
inference(cnf_transformation,[],[f180]) ).
cnf(c_590,plain,
sum(n6,n7) = n13,
inference(cnf_transformation,[],[f179]) ).
cnf(c_591,plain,
sum(n6,n6) = n12,
inference(cnf_transformation,[],[f178]) ).
cnf(c_592,plain,
sum(n6,n5) = n11,
inference(cnf_transformation,[],[f177]) ).
cnf(c_593,plain,
sum(n6,n4) = n10,
inference(cnf_transformation,[],[f176]) ).
cnf(c_594,plain,
sum(n6,n3) = n9,
inference(cnf_transformation,[],[f175]) ).
cnf(c_595,plain,
sum(n6,n2) = n8,
inference(cnf_transformation,[],[f174]) ).
cnf(c_596,plain,
sum(n6,n1) = n7,
inference(cnf_transformation,[],[f173]) ).
cnf(c_597,plain,
sum(n6,n0) = n6,
inference(cnf_transformation,[],[f172]) ).
cnf(c_598,plain,
sum(n5,n20) = n4,
inference(cnf_transformation,[],[f171]) ).
cnf(c_599,plain,
sum(n5,n19) = n3,
inference(cnf_transformation,[],[f170]) ).
cnf(c_600,plain,
sum(n5,n18) = n2,
inference(cnf_transformation,[],[f169]) ).
cnf(c_601,plain,
sum(n5,n17) = n1,
inference(cnf_transformation,[],[f168]) ).
cnf(c_602,plain,
sum(n5,n16) = n0,
inference(cnf_transformation,[],[f167]) ).
cnf(c_603,plain,
sum(n5,n15) = n20,
inference(cnf_transformation,[],[f166]) ).
cnf(c_604,plain,
sum(n5,n14) = n19,
inference(cnf_transformation,[],[f165]) ).
cnf(c_605,plain,
sum(n5,n13) = n18,
inference(cnf_transformation,[],[f164]) ).
cnf(c_606,plain,
sum(n5,n12) = n17,
inference(cnf_transformation,[],[f163]) ).
cnf(c_607,plain,
sum(n5,n11) = n16,
inference(cnf_transformation,[],[f162]) ).
cnf(c_608,plain,
sum(n5,n10) = n15,
inference(cnf_transformation,[],[f161]) ).
cnf(c_609,plain,
sum(n5,n9) = n14,
inference(cnf_transformation,[],[f160]) ).
cnf(c_610,plain,
sum(n5,n8) = n13,
inference(cnf_transformation,[],[f159]) ).
cnf(c_611,plain,
sum(n5,n7) = n12,
inference(cnf_transformation,[],[f158]) ).
cnf(c_612,plain,
sum(n5,n6) = n11,
inference(cnf_transformation,[],[f157]) ).
cnf(c_613,plain,
sum(n5,n5) = n10,
inference(cnf_transformation,[],[f156]) ).
cnf(c_614,plain,
sum(n5,n4) = n9,
inference(cnf_transformation,[],[f155]) ).
cnf(c_615,plain,
sum(n5,n3) = n8,
inference(cnf_transformation,[],[f154]) ).
cnf(c_616,plain,
sum(n5,n2) = n7,
inference(cnf_transformation,[],[f153]) ).
cnf(c_617,plain,
sum(n5,n1) = n6,
inference(cnf_transformation,[],[f152]) ).
cnf(c_618,plain,
sum(n5,n0) = n5,
inference(cnf_transformation,[],[f151]) ).
cnf(c_619,plain,
sum(n4,n20) = n3,
inference(cnf_transformation,[],[f150]) ).
cnf(c_620,plain,
sum(n4,n19) = n2,
inference(cnf_transformation,[],[f149]) ).
cnf(c_621,plain,
sum(n4,n18) = n1,
inference(cnf_transformation,[],[f148]) ).
cnf(c_622,plain,
sum(n4,n17) = n0,
inference(cnf_transformation,[],[f147]) ).
cnf(c_623,plain,
sum(n4,n16) = n20,
inference(cnf_transformation,[],[f146]) ).
cnf(c_624,plain,
sum(n4,n15) = n19,
inference(cnf_transformation,[],[f145]) ).
cnf(c_625,plain,
sum(n4,n14) = n18,
inference(cnf_transformation,[],[f144]) ).
cnf(c_626,plain,
sum(n4,n13) = n17,
inference(cnf_transformation,[],[f143]) ).
cnf(c_627,plain,
sum(n4,n12) = n16,
inference(cnf_transformation,[],[f142]) ).
cnf(c_628,plain,
sum(n4,n11) = n15,
inference(cnf_transformation,[],[f141]) ).
cnf(c_629,plain,
sum(n4,n10) = n14,
inference(cnf_transformation,[],[f140]) ).
cnf(c_630,plain,
sum(n4,n9) = n13,
inference(cnf_transformation,[],[f139]) ).
cnf(c_631,plain,
sum(n4,n8) = n12,
inference(cnf_transformation,[],[f138]) ).
cnf(c_632,plain,
sum(n4,n7) = n11,
inference(cnf_transformation,[],[f137]) ).
cnf(c_633,plain,
sum(n4,n6) = n10,
inference(cnf_transformation,[],[f136]) ).
cnf(c_634,plain,
sum(n4,n5) = n9,
inference(cnf_transformation,[],[f135]) ).
cnf(c_635,plain,
sum(n4,n4) = n8,
inference(cnf_transformation,[],[f134]) ).
cnf(c_636,plain,
sum(n4,n3) = n7,
inference(cnf_transformation,[],[f133]) ).
cnf(c_637,plain,
sum(n4,n2) = n6,
inference(cnf_transformation,[],[f132]) ).
cnf(c_638,plain,
sum(n4,n1) = n5,
inference(cnf_transformation,[],[f131]) ).
cnf(c_639,plain,
sum(n4,n0) = n4,
inference(cnf_transformation,[],[f130]) ).
cnf(c_640,plain,
sum(n3,n20) = n2,
inference(cnf_transformation,[],[f129]) ).
cnf(c_641,plain,
sum(n3,n19) = n1,
inference(cnf_transformation,[],[f128]) ).
cnf(c_642,plain,
sum(n3,n18) = n0,
inference(cnf_transformation,[],[f127]) ).
cnf(c_643,plain,
sum(n3,n17) = n20,
inference(cnf_transformation,[],[f126]) ).
cnf(c_644,plain,
sum(n3,n16) = n19,
inference(cnf_transformation,[],[f125]) ).
cnf(c_645,plain,
sum(n3,n15) = n18,
inference(cnf_transformation,[],[f124]) ).
cnf(c_646,plain,
sum(n3,n14) = n17,
inference(cnf_transformation,[],[f123]) ).
cnf(c_647,plain,
sum(n3,n13) = n16,
inference(cnf_transformation,[],[f122]) ).
cnf(c_648,plain,
sum(n3,n12) = n15,
inference(cnf_transformation,[],[f121]) ).
cnf(c_649,plain,
sum(n3,n11) = n14,
inference(cnf_transformation,[],[f120]) ).
cnf(c_650,plain,
sum(n3,n10) = n13,
inference(cnf_transformation,[],[f119]) ).
cnf(c_651,plain,
sum(n3,n9) = n12,
inference(cnf_transformation,[],[f118]) ).
cnf(c_652,plain,
sum(n3,n8) = n11,
inference(cnf_transformation,[],[f117]) ).
cnf(c_653,plain,
sum(n3,n7) = n10,
inference(cnf_transformation,[],[f116]) ).
cnf(c_654,plain,
sum(n3,n6) = n9,
inference(cnf_transformation,[],[f115]) ).
cnf(c_655,plain,
sum(n3,n5) = n8,
inference(cnf_transformation,[],[f114]) ).
cnf(c_656,plain,
sum(n3,n4) = n7,
inference(cnf_transformation,[],[f113]) ).
cnf(c_657,plain,
sum(n3,n3) = n6,
inference(cnf_transformation,[],[f112]) ).
cnf(c_658,plain,
sum(n3,n2) = n5,
inference(cnf_transformation,[],[f111]) ).
cnf(c_659,plain,
sum(n3,n1) = n4,
inference(cnf_transformation,[],[f110]) ).
cnf(c_660,plain,
sum(n3,n0) = n3,
inference(cnf_transformation,[],[f109]) ).
cnf(c_661,plain,
sum(n2,n20) = n1,
inference(cnf_transformation,[],[f108]) ).
cnf(c_662,plain,
sum(n2,n19) = n0,
inference(cnf_transformation,[],[f107]) ).
cnf(c_663,plain,
sum(n2,n18) = n20,
inference(cnf_transformation,[],[f106]) ).
cnf(c_664,plain,
sum(n2,n17) = n19,
inference(cnf_transformation,[],[f105]) ).
cnf(c_665,plain,
sum(n2,n16) = n18,
inference(cnf_transformation,[],[f104]) ).
cnf(c_666,plain,
sum(n2,n15) = n17,
inference(cnf_transformation,[],[f103]) ).
cnf(c_667,plain,
sum(n2,n14) = n16,
inference(cnf_transformation,[],[f102]) ).
cnf(c_668,plain,
sum(n2,n13) = n15,
inference(cnf_transformation,[],[f101]) ).
cnf(c_669,plain,
sum(n2,n12) = n14,
inference(cnf_transformation,[],[f100]) ).
cnf(c_670,plain,
sum(n2,n11) = n13,
inference(cnf_transformation,[],[f99]) ).
cnf(c_671,plain,
sum(n2,n10) = n12,
inference(cnf_transformation,[],[f98]) ).
cnf(c_672,plain,
sum(n2,n9) = n11,
inference(cnf_transformation,[],[f97]) ).
cnf(c_673,plain,
sum(n2,n8) = n10,
inference(cnf_transformation,[],[f96]) ).
cnf(c_674,plain,
sum(n2,n7) = n9,
inference(cnf_transformation,[],[f95]) ).
cnf(c_675,plain,
sum(n2,n6) = n8,
inference(cnf_transformation,[],[f94]) ).
cnf(c_676,plain,
sum(n2,n5) = n7,
inference(cnf_transformation,[],[f93]) ).
cnf(c_677,plain,
sum(n2,n4) = n6,
inference(cnf_transformation,[],[f92]) ).
cnf(c_678,plain,
sum(n2,n3) = n5,
inference(cnf_transformation,[],[f91]) ).
cnf(c_679,plain,
sum(n2,n2) = n4,
inference(cnf_transformation,[],[f90]) ).
cnf(c_680,plain,
sum(n2,n1) = n3,
inference(cnf_transformation,[],[f89]) ).
cnf(c_681,plain,
sum(n2,n0) = n2,
inference(cnf_transformation,[],[f88]) ).
cnf(c_682,plain,
sum(n1,n20) = n0,
inference(cnf_transformation,[],[f87]) ).
cnf(c_683,plain,
sum(n1,n19) = n20,
inference(cnf_transformation,[],[f86]) ).
cnf(c_684,plain,
sum(n1,n18) = n19,
inference(cnf_transformation,[],[f85]) ).
cnf(c_685,plain,
sum(n1,n17) = n18,
inference(cnf_transformation,[],[f84]) ).
cnf(c_686,plain,
sum(n1,n16) = n17,
inference(cnf_transformation,[],[f83]) ).
cnf(c_687,plain,
sum(n1,n15) = n16,
inference(cnf_transformation,[],[f82]) ).
cnf(c_688,plain,
sum(n1,n14) = n15,
inference(cnf_transformation,[],[f81]) ).
cnf(c_689,plain,
sum(n1,n13) = n14,
inference(cnf_transformation,[],[f80]) ).
cnf(c_690,plain,
sum(n1,n12) = n13,
inference(cnf_transformation,[],[f79]) ).
cnf(c_691,plain,
sum(n1,n11) = n12,
inference(cnf_transformation,[],[f78]) ).
cnf(c_692,plain,
sum(n1,n10) = n11,
inference(cnf_transformation,[],[f77]) ).
cnf(c_693,plain,
sum(n1,n9) = n10,
inference(cnf_transformation,[],[f76]) ).
cnf(c_694,plain,
sum(n1,n8) = n9,
inference(cnf_transformation,[],[f75]) ).
cnf(c_695,plain,
sum(n1,n7) = n8,
inference(cnf_transformation,[],[f74]) ).
cnf(c_696,plain,
sum(n1,n6) = n7,
inference(cnf_transformation,[],[f73]) ).
cnf(c_697,plain,
sum(n1,n5) = n6,
inference(cnf_transformation,[],[f72]) ).
cnf(c_698,plain,
sum(n1,n4) = n5,
inference(cnf_transformation,[],[f71]) ).
cnf(c_699,plain,
sum(n1,n3) = n4,
inference(cnf_transformation,[],[f70]) ).
cnf(c_700,plain,
sum(n1,n2) = n3,
inference(cnf_transformation,[],[f69]) ).
cnf(c_701,plain,
sum(n1,n1) = n2,
inference(cnf_transformation,[],[f68]) ).
cnf(c_702,plain,
sum(n1,n0) = n1,
inference(cnf_transformation,[],[f67]) ).
cnf(c_703,plain,
sum(n0,n20) = n20,
inference(cnf_transformation,[],[f66]) ).
cnf(c_704,plain,
sum(n0,n19) = n19,
inference(cnf_transformation,[],[f65]) ).
cnf(c_705,plain,
sum(n0,n18) = n18,
inference(cnf_transformation,[],[f64]) ).
cnf(c_706,plain,
sum(n0,n17) = n17,
inference(cnf_transformation,[],[f63]) ).
cnf(c_707,plain,
sum(n0,n16) = n16,
inference(cnf_transformation,[],[f62]) ).
cnf(c_708,plain,
sum(n0,n15) = n15,
inference(cnf_transformation,[],[f61]) ).
cnf(c_709,plain,
sum(n0,n14) = n14,
inference(cnf_transformation,[],[f60]) ).
cnf(c_710,plain,
sum(n0,n13) = n13,
inference(cnf_transformation,[],[f59]) ).
cnf(c_711,plain,
sum(n0,n12) = n12,
inference(cnf_transformation,[],[f58]) ).
cnf(c_712,plain,
sum(n0,n11) = n11,
inference(cnf_transformation,[],[f57]) ).
cnf(c_713,plain,
sum(n0,n10) = n10,
inference(cnf_transformation,[],[f56]) ).
cnf(c_714,plain,
sum(n0,n9) = n9,
inference(cnf_transformation,[],[f55]) ).
cnf(c_715,plain,
sum(n0,n8) = n8,
inference(cnf_transformation,[],[f54]) ).
cnf(c_716,plain,
sum(n0,n7) = n7,
inference(cnf_transformation,[],[f53]) ).
cnf(c_717,plain,
sum(n0,n6) = n6,
inference(cnf_transformation,[],[f52]) ).
cnf(c_718,plain,
sum(n0,n5) = n5,
inference(cnf_transformation,[],[f51]) ).
cnf(c_719,plain,
sum(n0,n4) = n4,
inference(cnf_transformation,[],[f50]) ).
cnf(c_720,plain,
sum(n0,n3) = n3,
inference(cnf_transformation,[],[f49]) ).
cnf(c_721,plain,
sum(n0,n2) = n2,
inference(cnf_transformation,[],[f48]) ).
cnf(c_722,plain,
sum(n0,n1) = n1,
inference(cnf_transformation,[],[f47]) ).
cnf(c_723,plain,
sum(n0,n0) = n0,
inference(cnf_transformation,[],[f46]) ).
cnf(c_724,plain,
pred(n20) = n19,
inference(cnf_transformation,[],[f45]) ).
cnf(c_725,plain,
pred(n19) = n18,
inference(cnf_transformation,[],[f44]) ).
cnf(c_726,plain,
pred(n18) = n17,
inference(cnf_transformation,[],[f43]) ).
cnf(c_727,plain,
pred(n17) = n16,
inference(cnf_transformation,[],[f42]) ).
cnf(c_728,plain,
pred(n16) = n15,
inference(cnf_transformation,[],[f41]) ).
cnf(c_729,plain,
pred(n15) = n14,
inference(cnf_transformation,[],[f40]) ).
cnf(c_730,plain,
pred(n14) = n13,
inference(cnf_transformation,[],[f39]) ).
cnf(c_731,plain,
pred(n13) = n12,
inference(cnf_transformation,[],[f38]) ).
cnf(c_732,plain,
pred(n12) = n11,
inference(cnf_transformation,[],[f37]) ).
cnf(c_733,plain,
pred(n11) = n10,
inference(cnf_transformation,[],[f36]) ).
cnf(c_734,plain,
pred(n10) = n9,
inference(cnf_transformation,[],[f35]) ).
cnf(c_735,plain,
pred(n9) = n8,
inference(cnf_transformation,[],[f34]) ).
cnf(c_736,plain,
pred(n8) = n7,
inference(cnf_transformation,[],[f33]) ).
cnf(c_737,plain,
pred(n7) = n6,
inference(cnf_transformation,[],[f32]) ).
cnf(c_738,plain,
pred(n6) = n5,
inference(cnf_transformation,[],[f31]) ).
cnf(c_739,plain,
pred(n5) = n4,
inference(cnf_transformation,[],[f30]) ).
cnf(c_740,plain,
pred(n4) = n3,
inference(cnf_transformation,[],[f29]) ).
cnf(c_741,plain,
pred(n3) = n2,
inference(cnf_transformation,[],[f28]) ).
cnf(c_742,plain,
pred(n2) = n1,
inference(cnf_transformation,[],[f27]) ).
cnf(c_743,plain,
pred(n1) = n0,
inference(cnf_transformation,[],[f26]) ).
cnf(c_744,plain,
pred(n0) = n20,
inference(cnf_transformation,[],[f25]) ).
cnf(c_745,plain,
succ(n20) = n0,
inference(cnf_transformation,[],[f24]) ).
cnf(c_746,plain,
succ(n19) = n20,
inference(cnf_transformation,[],[f23]) ).
cnf(c_747,plain,
succ(n18) = n19,
inference(cnf_transformation,[],[f22]) ).
cnf(c_748,plain,
succ(n17) = n18,
inference(cnf_transformation,[],[f21]) ).
cnf(c_749,plain,
succ(n16) = n17,
inference(cnf_transformation,[],[f20]) ).
cnf(c_750,plain,
succ(n15) = n16,
inference(cnf_transformation,[],[f19]) ).
cnf(c_751,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f18]) ).
cnf(c_752,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f17]) ).
cnf(c_753,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f16]) ).
cnf(c_754,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f15]) ).
cnf(c_755,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f14]) ).
cnf(c_756,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f13]) ).
cnf(c_757,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f12]) ).
cnf(c_758,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f11]) ).
cnf(c_759,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f10]) ).
cnf(c_760,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f9]) ).
cnf(c_761,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f8]) ).
cnf(c_762,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f7]) ).
cnf(c_763,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f6]) ).
cnf(c_764,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f5]) ).
cnf(c_765,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f4]) ).
cnf(c_2285,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_765,c_764,c_763,c_762,c_761,c_760,c_759,c_758,c_757,c_756,c_755,c_754,c_753,c_752,c_751,c_750,c_749,c_748,c_747,c_746,c_745,c_744,c_743,c_742,c_741,c_740,c_739,c_738,c_737,c_736,c_735,c_734,c_733,c_732,c_731,c_730,c_729,c_728,c_727,c_726,c_725,c_724,c_723,c_722,c_721,c_720,c_719,c_718,c_717,c_716,c_715,c_714,c_713,c_712,c_711,c_710,c_709,c_708,c_707,c_706,c_705,c_704,c_703,c_702,c_701,c_700,c_699,c_698,c_697,c_696,c_695,c_694,c_693,c_692,c_691,c_690,c_689,c_688,c_687,c_686,c_685,c_684,c_683,c_682,c_681,c_680,c_679,c_678,c_677,c_676,c_675,c_674,c_673,c_672,c_671,c_670,c_669,c_668,c_667,c_666,c_665,c_664,c_663,c_662,c_661,c_660,c_659,c_658,c_657,c_656,c_655,c_654,c_653,c_652,c_651,c_650,c_649,c_648,c_647,c_646,c_645,c_644,c_643,c_642,c_641,c_640,c_639,c_638,c_637,c_636,c_635,c_634,c_633,c_632,c_631,c_630,c_629,c_628,c_627,c_626,c_625,c_624,c_623,c_622,c_621,c_620,c_619,c_618,c_617,c_616,c_615,c_614,c_613,c_612,c_611,c_610,c_609,c_608,c_607,c_606,c_605,c_604,c_603,c_602,c_601,c_600,c_599,c_598,c_597,c_596,c_595,c_594,c_593,c_592,c_591,c_590,c_589,c_588,c_587,c_586,c_585,c_584,c_583,c_582,c_581,c_580,c_579,c_578,c_577,c_576,c_575,c_574,c_573,c_572,c_571,c_570,c_569,c_568,c_567,c_566,c_565,c_564,c_563,c_562,c_561,c_560,c_559,c_558,c_557,c_556,c_555,c_554,c_553,c_552,c_551,c_550,c_549,c_548,c_547,c_546,c_545,c_544,c_543,c_542,c_541,c_540,c_539,c_538,c_537,c_536,c_535,c_534,c_533,c_532,c_531,c_530,c_529,c_528,c_527,c_526,c_525,c_524,c_523,c_522,c_521,c_520,c_519,c_518,c_517,c_516,c_515,c_514,c_513,c_512,c_511,c_510,c_509,c_508,c_507,c_506,c_505,c_504,c_503,c_502,c_501,c_500,c_499,c_498,c_497,c_496,c_495,c_494,c_493,c_492,c_491,c_490,c_489,c_488,c_487,c_486,c_485,c_484,c_483,c_482,c_481,c_480,c_479,c_478,c_477,c_476,c_475,c_474,c_473,c_472,c_471,c_470,c_469,c_468,c_467,c_466,c_465,c_464,c_463,c_462,c_461,c_460,c_459,c_458,c_457,c_456,c_455,c_454,c_453,c_452,c_451,c_450,c_449,c_448,c_447,c_446,c_445,c_444,c_443,c_442,c_441,c_440,c_439,c_438,c_437,c_436,c_435,c_434,c_433,c_432,c_431,c_430,c_429,c_428,c_427,c_426,c_425,c_424,c_423,c_422,c_421,c_420,c_419,c_418,c_417,c_416,c_415,c_414,c_413,c_412,c_411,c_410,c_409,c_408,c_407,c_406,c_405,c_404,c_403,c_402,c_401,c_400,c_399,c_398,c_397,c_396,c_395,c_394,c_393,c_392,c_391,c_390,c_389,c_388,c_387,c_386,c_385,c_384,c_383,c_382,c_381,c_380,c_379,c_378,c_377,c_376,c_375,c_374,c_373,c_372,c_371,c_370,c_369,c_368,c_367,c_366,c_365,c_364,c_363,c_362,c_361,c_360,c_359,c_358,c_357,c_356,c_355,c_354,c_353,c_352,c_351,c_350,c_349,c_348,c_347,c_346,c_345,c_344,c_343,c_342,c_341,c_340,c_339,c_338,c_337,c_336,c_335,c_334,c_333,c_332,c_331,c_330,c_329,c_328,c_327,c_326,c_325,c_324,c_323,c_322,c_321,c_320,c_319,c_318,c_317,c_316,c_315,c_314,c_313,c_312,c_311,c_310,c_309,c_308,c_307,c_306,c_305,c_304,c_303,c_302,c_301,c_300,c_299,c_298,c_297,c_296,c_295,c_294,c_293,c_292,c_291,c_290,c_289,c_288,c_287,c_286,c_285,c_284,c_283,c_282,c_281,c_280,c_279,c_278,c_277,c_276,c_275,c_274,c_273,c_272,c_271,c_270,c_269,c_268,c_267,c_266,c_265,c_264,c_263,c_262,c_261,c_260,c_259]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM375+1.020 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 08:02:05 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.15/1.19 % SZS status Started for theBenchmark.p
% 4.15/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 4.15/1.19
% 4.15/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.15/1.19
% 4.15/1.19 ------ iProver source info
% 4.15/1.19
% 4.15/1.19 git: date: 2023-05-31 18:12:56 +0000
% 4.15/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.15/1.19 git: non_committed_changes: false
% 4.15/1.19 git: last_make_outside_of_git: false
% 4.15/1.19
% 4.15/1.19 ------ Parsing...
% 4.15/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.15/1.19
% 4.15/1.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.15/1.19
% 4.15/1.19 ------ Preprocessing...
% 4.15/1.19
% 4.15/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 4.15/1.19
% 4.15/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.15/1.20
% 4.15/1.21
%------------------------------------------------------------------------------