%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM375+1.020 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:23:47 PM UTC 2026
% Result : Unsatisfiable 2.76s 1.08s
% Output : CNFRefutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 1017 (1011 unt; 0 def)
% Number of atoms : 2609 (2608 equ)
% Maximal formula atoms : 757 ( 2 avg)
% Number of connectives : 2096 ( 504 ~; 160 |;1432 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 721 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 3 ( 0 sgn 0 !; 3 ?; 0 :)
% 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
& X2 != 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))))
& ( X1 = 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 )
& ( X0 = 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 )
& sum(n20,n20) = n19
& sum(n20,n19) = n18
& sum(n20,n18) = n17
& sum(n20,n17) = n16
& sum(n20,n16) = n15
& sum(n20,n15) = n14
& sum(n20,n14) = n13
& sum(n20,n13) = n12
& sum(n20,n12) = n11
& sum(n20,n11) = n10
& sum(n20,n10) = n9
& sum(n20,n9) = n8
& sum(n20,n8) = n7
& sum(n20,n7) = n6
& sum(n20,n6) = n5
& sum(n20,n5) = n4
& sum(n20,n4) = n3
& sum(n20,n3) = n2
& sum(n20,n2) = n1
& sum(n20,n1) = n0
& sum(n20,n0) = n20
& sum(n19,n20) = n18
& sum(n19,n19) = n17
& sum(n19,n18) = n16
& sum(n19,n17) = n15
& sum(n19,n16) = n14
& sum(n19,n15) = n13
& sum(n19,n14) = n12
& sum(n19,n13) = n11
& sum(n19,n12) = n10
& sum(n19,n11) = n9
& sum(n19,n10) = n8
& sum(n19,n9) = n7
& sum(n19,n8) = n6
& sum(n19,n7) = n5
& sum(n19,n6) = n4
& sum(n19,n5) = n3
& sum(n19,n4) = n2
& sum(n19,n3) = n1
& sum(n19,n2) = n0
& sum(n19,n1) = n20
& sum(n19,n0) = n19
& sum(n18,n20) = n17
& sum(n18,n19) = n16
& sum(n18,n18) = n15
& sum(n18,n17) = n14
& sum(n18,n16) = n13
& sum(n18,n15) = n12
& sum(n18,n14) = n11
& sum(n18,n13) = n10
& sum(n18,n12) = n9
& sum(n18,n11) = n8
& sum(n18,n10) = n7
& sum(n18,n9) = n6
& sum(n18,n8) = n5
& sum(n18,n7) = n4
& sum(n18,n6) = n3
& sum(n18,n5) = n2
& sum(n18,n4) = n1
& sum(n18,n3) = n0
& sum(n18,n2) = n20
& sum(n18,n1) = n19
& sum(n18,n0) = n18
& sum(n17,n20) = n16
& sum(n17,n19) = n15
& sum(n17,n18) = n14
& sum(n17,n17) = n13
& sum(n17,n16) = n12
& sum(n17,n15) = n11
& sum(n17,n14) = n10
& sum(n17,n13) = n9
& sum(n17,n12) = n8
& sum(n17,n11) = n7
& sum(n17,n10) = n6
& sum(n17,n9) = n5
& sum(n17,n8) = n4
& sum(n17,n7) = n3
& sum(n17,n6) = n2
& sum(n17,n5) = n1
& sum(n17,n4) = n0
& sum(n17,n3) = n20
& sum(n17,n2) = n19
& sum(n17,n1) = n18
& sum(n17,n0) = n17
& sum(n16,n20) = n15
& sum(n16,n19) = n14
& sum(n16,n18) = n13
& sum(n16,n17) = n12
& sum(n16,n16) = n11
& sum(n16,n15) = n10
& sum(n16,n14) = n9
& sum(n16,n13) = n8
& sum(n16,n12) = n7
& sum(n16,n11) = n6
& sum(n16,n10) = n5
& sum(n16,n9) = n4
& sum(n16,n8) = n3
& sum(n16,n7) = n2
& sum(n16,n6) = n1
& sum(n16,n5) = n0
& sum(n16,n4) = n20
& sum(n16,n3) = n19
& sum(n16,n2) = n18
& sum(n16,n1) = n17
& sum(n16,n0) = n16
& sum(n15,n20) = n14
& sum(n15,n19) = n13
& sum(n15,n18) = n12
& sum(n15,n17) = n11
& sum(n15,n16) = n10
& sum(n15,n15) = n9
& sum(n15,n14) = n8
& sum(n15,n13) = n7
& sum(n15,n12) = n6
& sum(n15,n11) = n5
& sum(n15,n10) = n4
& sum(n15,n9) = n3
& sum(n15,n8) = n2
& sum(n15,n7) = n1
& sum(n15,n6) = n0
& sum(n15,n5) = n20
& sum(n15,n4) = n19
& sum(n15,n3) = n18
& sum(n15,n2) = n17
& sum(n15,n1) = n16
& sum(n15,n0) = n15
& sum(n14,n20) = n13
& sum(n14,n19) = n12
& sum(n14,n18) = n11
& sum(n14,n17) = n10
& sum(n14,n16) = n9
& sum(n14,n15) = n8
& sum(n14,n14) = n7
& sum(n14,n13) = n6
& sum(n14,n12) = n5
& sum(n14,n11) = n4
& sum(n14,n10) = n3
& sum(n14,n9) = n2
& sum(n14,n8) = n1
& sum(n14,n7) = n0
& sum(n14,n6) = n20
& sum(n14,n5) = n19
& sum(n14,n4) = n18
& sum(n14,n3) = n17
& sum(n14,n2) = n16
& sum(n14,n1) = n15
& sum(n14,n0) = n14
& sum(n13,n20) = n12
& sum(n13,n19) = n11
& sum(n13,n18) = n10
& sum(n13,n17) = n9
& sum(n13,n16) = n8
& sum(n13,n15) = n7
& sum(n13,n14) = n6
& sum(n13,n13) = n5
& sum(n13,n12) = n4
& sum(n13,n11) = n3
& sum(n13,n10) = n2
& sum(n13,n9) = n1
& sum(n13,n8) = n0
& sum(n13,n7) = n20
& sum(n13,n6) = n19
& sum(n13,n5) = n18
& sum(n13,n4) = n17
& sum(n13,n3) = n16
& sum(n13,n2) = n15
& sum(n13,n1) = n14
& sum(n13,n0) = n13
& sum(n12,n20) = n11
& sum(n12,n19) = n10
& sum(n12,n18) = n9
& sum(n12,n17) = n8
& sum(n12,n16) = n7
& sum(n12,n15) = n6
& sum(n12,n14) = n5
& sum(n12,n13) = n4
& sum(n12,n12) = n3
& sum(n12,n11) = n2
& sum(n12,n10) = n1
& sum(n12,n9) = n0
& sum(n12,n8) = n20
& sum(n12,n7) = n19
& sum(n12,n6) = n18
& sum(n12,n5) = n17
& sum(n12,n4) = n16
& sum(n12,n3) = n15
& sum(n12,n2) = n14
& sum(n12,n1) = n13
& sum(n12,n0) = n12
& sum(n11,n20) = n10
& sum(n11,n19) = n9
& sum(n11,n18) = n8
& sum(n11,n17) = n7
& sum(n11,n16) = n6
& sum(n11,n15) = n5
& sum(n11,n14) = n4
& sum(n11,n13) = n3
& sum(n11,n12) = n2
& sum(n11,n11) = n1
& sum(n11,n10) = n0
& sum(n11,n9) = n20
& sum(n11,n8) = n19
& sum(n11,n7) = n18
& sum(n11,n6) = n17
& sum(n11,n5) = n16
& sum(n11,n4) = n15
& sum(n11,n3) = n14
& sum(n11,n2) = n13
& sum(n11,n1) = n12
& sum(n11,n0) = n11
& sum(n10,n20) = n9
& sum(n10,n19) = n8
& sum(n10,n18) = n7
& sum(n10,n17) = n6
& sum(n10,n16) = n5
& sum(n10,n15) = n4
& sum(n10,n14) = n3
& sum(n10,n13) = n2
& sum(n10,n12) = n1
& sum(n10,n11) = n0
& sum(n10,n10) = n20
& sum(n10,n9) = n19
& sum(n10,n8) = n18
& sum(n10,n7) = n17
& sum(n10,n6) = n16
& sum(n10,n5) = n15
& sum(n10,n4) = n14
& sum(n10,n3) = n13
& sum(n10,n2) = n12
& sum(n10,n1) = n11
& sum(n10,n0) = n10
& sum(n9,n20) = n8
& sum(n9,n19) = n7
& sum(n9,n18) = n6
& sum(n9,n17) = n5
& sum(n9,n16) = n4
& sum(n9,n15) = n3
& sum(n9,n14) = n2
& sum(n9,n13) = n1
& sum(n9,n12) = n0
& sum(n9,n11) = n20
& sum(n9,n10) = n19
& sum(n9,n9) = n18
& sum(n9,n8) = n17
& sum(n9,n7) = n16
& sum(n9,n6) = n15
& sum(n9,n5) = n14
& sum(n9,n4) = n13
& sum(n9,n3) = n12
& sum(n9,n2) = n11
& sum(n9,n1) = n10
& sum(n9,n0) = n9
& sum(n8,n20) = n7
& sum(n8,n19) = n6
& sum(n8,n18) = n5
& sum(n8,n17) = n4
& sum(n8,n16) = n3
& sum(n8,n15) = n2
& sum(n8,n14) = n1
& sum(n8,n13) = n0
& sum(n8,n12) = n20
& sum(n8,n11) = n19
& sum(n8,n10) = n18
& sum(n8,n9) = n17
& sum(n8,n8) = n16
& sum(n8,n7) = n15
& sum(n8,n6) = n14
& sum(n8,n5) = n13
& sum(n8,n4) = n12
& sum(n8,n3) = n11
& sum(n8,n2) = n10
& sum(n8,n1) = n9
& sum(n8,n0) = n8
& sum(n7,n20) = n6
& sum(n7,n19) = n5
& sum(n7,n18) = n4
& sum(n7,n17) = n3
& sum(n7,n16) = n2
& sum(n7,n15) = n1
& sum(n7,n14) = n0
& sum(n7,n13) = n20
& sum(n7,n12) = n19
& sum(n7,n11) = n18
& sum(n7,n10) = n17
& sum(n7,n9) = n16
& sum(n7,n8) = n15
& sum(n7,n7) = n14
& sum(n7,n6) = n13
& sum(n7,n5) = n12
& sum(n7,n4) = n11
& sum(n7,n3) = n10
& sum(n7,n2) = n9
& sum(n7,n1) = n8
& sum(n7,n0) = n7
& sum(n6,n20) = n5
& sum(n6,n19) = n4
& sum(n6,n18) = n3
& sum(n6,n17) = n2
& sum(n6,n16) = n1
& sum(n6,n15) = n0
& sum(n6,n14) = n20
& sum(n6,n13) = n19
& sum(n6,n12) = n18
& sum(n6,n11) = n17
& sum(n6,n10) = n16
& sum(n6,n9) = n15
& sum(n6,n8) = n14
& sum(n6,n7) = n13
& sum(n6,n6) = n12
& sum(n6,n5) = n11
& sum(n6,n4) = n10
& sum(n6,n3) = n9
& sum(n6,n2) = n8
& sum(n6,n1) = n7
& sum(n6,n0) = n6
& sum(n5,n20) = n4
& sum(n5,n19) = n3
& sum(n5,n18) = n2
& sum(n5,n17) = n1
& sum(n5,n16) = n0
& sum(n5,n15) = n20
& sum(n5,n14) = n19
& sum(n5,n13) = n18
& sum(n5,n12) = n17
& sum(n5,n11) = n16
& sum(n5,n10) = n15
& sum(n5,n9) = n14
& sum(n5,n8) = n13
& sum(n5,n7) = n12
& sum(n5,n6) = n11
& sum(n5,n5) = n10
& sum(n5,n4) = n9
& sum(n5,n3) = n8
& sum(n5,n2) = n7
& sum(n5,n1) = n6
& sum(n5,n0) = n5
& sum(n4,n20) = n3
& sum(n4,n19) = n2
& sum(n4,n18) = n1
& sum(n4,n17) = n0
& sum(n4,n16) = n20
& sum(n4,n15) = n19
& sum(n4,n14) = n18
& sum(n4,n13) = n17
& sum(n4,n12) = n16
& sum(n4,n11) = n15
& sum(n4,n10) = n14
& sum(n4,n9) = n13
& sum(n4,n8) = n12
& sum(n4,n7) = n11
& sum(n4,n6) = n10
& sum(n4,n5) = n9
& sum(n4,n4) = n8
& sum(n4,n3) = n7
& sum(n4,n2) = n6
& sum(n4,n1) = n5
& sum(n4,n0) = n4
& sum(n3,n20) = n2
& sum(n3,n19) = n1
& sum(n3,n18) = n0
& sum(n3,n17) = n20
& sum(n3,n16) = n19
& sum(n3,n15) = n18
& sum(n3,n14) = n17
& sum(n3,n13) = n16
& sum(n3,n12) = n15
& sum(n3,n11) = n14
& sum(n3,n10) = n13
& sum(n3,n9) = n12
& sum(n3,n8) = n11
& sum(n3,n7) = n10
& sum(n3,n6) = n9
& sum(n3,n5) = n8
& sum(n3,n4) = n7
& sum(n3,n3) = n6
& sum(n3,n2) = n5
& sum(n3,n1) = n4
& sum(n3,n0) = n3
& sum(n2,n20) = n1
& sum(n2,n19) = n0
& sum(n2,n18) = n20
& sum(n2,n17) = n19
& sum(n2,n16) = n18
& sum(n2,n15) = n17
& sum(n2,n14) = n16
& sum(n2,n13) = n15
& sum(n2,n12) = n14
& sum(n2,n11) = n13
& sum(n2,n10) = n12
& sum(n2,n9) = n11
& sum(n2,n8) = n10
& sum(n2,n7) = n9
& sum(n2,n6) = n8
& sum(n2,n5) = n7
& sum(n2,n4) = n6
& sum(n2,n3) = n5
& sum(n2,n2) = n4
& sum(n2,n1) = n3
& sum(n2,n0) = n2
& sum(n1,n20) = n0
& sum(n1,n19) = n20
& sum(n1,n18) = n19
& sum(n1,n17) = n18
& sum(n1,n16) = n17
& sum(n1,n15) = n16
& sum(n1,n14) = n15
& sum(n1,n13) = n14
& sum(n1,n12) = n13
& sum(n1,n11) = n12
& sum(n1,n10) = n11
& sum(n1,n9) = n10
& sum(n1,n8) = n9
& sum(n1,n7) = n8
& sum(n1,n6) = n7
& sum(n1,n5) = n6
& sum(n1,n4) = n5
& sum(n1,n3) = n4
& sum(n1,n2) = n3
& sum(n1,n1) = n2
& sum(n1,n0) = n1
& sum(n0,n20) = n20
& sum(n0,n19) = n19
& sum(n0,n18) = n18
& sum(n0,n17) = n17
& sum(n0,n16) = n16
& sum(n0,n15) = n15
& sum(n0,n14) = n14
& sum(n0,n13) = n13
& sum(n0,n12) = n12
& sum(n0,n11) = n11
& sum(n0,n10) = n10
& sum(n0,n9) = n9
& sum(n0,n8) = n8
& sum(n0,n7) = n7
& sum(n0,n6) = n6
& sum(n0,n5) = n5
& sum(n0,n4) = n4
& sum(n0,n3) = n3
& sum(n0,n2) = n2
& sum(n0,n1) = n1
& sum(n0,n0) = n0
& pred(n20) = n19
& pred(n19) = n18
& pred(n18) = n17
& pred(n17) = n16
& pred(n16) = n15
& pred(n15) = n14
& pred(n14) = n13
& pred(n13) = n12
& pred(n12) = n11
& pred(n11) = n10
& pred(n10) = n9
& pred(n9) = n8
& pred(n8) = n7
& pred(n7) = n6
& pred(n6) = n5
& pred(n5) = n4
& pred(n4) = n3
& pred(n3) = n2
& pred(n2) = n1
& pred(n1) = n0
& pred(n0) = n20
& succ(n20) = n0
& 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/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f2,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 )
& sum(n20,n20) = n19
& sum(n20,n19) = n18
& sum(n20,n18) = n17
& sum(n20,n17) = n16
& sum(n20,n16) = n15
& sum(n20,n15) = n14
& sum(n20,n14) = n13
& sum(n20,n13) = n12
& sum(n20,n12) = n11
& sum(n20,n11) = n10
& sum(n20,n10) = n9
& sum(n20,n9) = n8
& sum(n20,n8) = n7
& sum(n20,n7) = n6
& sum(n20,n6) = n5
& sum(n20,n5) = n4
& sum(n20,n4) = n3
& sum(n20,n3) = n2
& sum(n20,n2) = n1
& sum(n20,n1) = n0
& sum(n20,n0) = n20
& sum(n19,n20) = n18
& sum(n19,n19) = n17
& sum(n19,n18) = n16
& sum(n19,n17) = n15
& sum(n19,n16) = n14
& sum(n19,n15) = n13
& sum(n19,n14) = n12
& sum(n19,n13) = n11
& sum(n19,n12) = n10
& sum(n19,n11) = n9
& sum(n19,n10) = n8
& sum(n19,n9) = n7
& sum(n19,n8) = n6
& sum(n19,n7) = n5
& sum(n19,n6) = n4
& sum(n19,n5) = n3
& sum(n19,n4) = n2
& sum(n19,n3) = n1
& sum(n19,n2) = n0
& sum(n19,n1) = n20
& sum(n19,n0) = n19
& sum(n18,n20) = n17
& sum(n18,n19) = n16
& sum(n18,n18) = n15
& sum(n18,n17) = n14
& sum(n18,n16) = n13
& sum(n18,n15) = n12
& sum(n18,n14) = n11
& sum(n18,n13) = n10
& sum(n18,n12) = n9
& sum(n18,n11) = n8
& sum(n18,n10) = n7
& sum(n18,n9) = n6
& sum(n18,n8) = n5
& sum(n18,n7) = n4
& sum(n18,n6) = n3
& sum(n18,n5) = n2
& sum(n18,n4) = n1
& sum(n18,n3) = n0
& sum(n18,n2) = n20
& sum(n18,n1) = n19
& sum(n18,n0) = n18
& sum(n17,n20) = n16
& sum(n17,n19) = n15
& sum(n17,n18) = n14
& sum(n17,n17) = n13
& sum(n17,n16) = n12
& sum(n17,n15) = n11
& sum(n17,n14) = n10
& sum(n17,n13) = n9
& sum(n17,n12) = n8
& sum(n17,n11) = n7
& sum(n17,n10) = n6
& sum(n17,n9) = n5
& sum(n17,n8) = n4
& sum(n17,n7) = n3
& sum(n17,n6) = n2
& sum(n17,n5) = n1
& sum(n17,n4) = n0
& sum(n17,n3) = n20
& sum(n17,n2) = n19
& sum(n17,n1) = n18
& sum(n17,n0) = n17
& sum(n16,n20) = n15
& sum(n16,n19) = n14
& sum(n16,n18) = n13
& sum(n16,n17) = n12
& sum(n16,n16) = n11
& sum(n16,n15) = n10
& sum(n16,n14) = n9
& sum(n16,n13) = n8
& sum(n16,n12) = n7
& sum(n16,n11) = n6
& sum(n16,n10) = n5
& sum(n16,n9) = n4
& sum(n16,n8) = n3
& sum(n16,n7) = n2
& sum(n16,n6) = n1
& sum(n16,n5) = n0
& sum(n16,n4) = n20
& sum(n16,n3) = n19
& sum(n16,n2) = n18
& sum(n16,n1) = n17
& sum(n16,n0) = n16
& sum(n15,n20) = n14
& sum(n15,n19) = n13
& sum(n15,n18) = n12
& sum(n15,n17) = n11
& sum(n15,n16) = n10
& sum(n15,n15) = n9
& sum(n15,n14) = n8
& sum(n15,n13) = n7
& sum(n15,n12) = n6
& sum(n15,n11) = n5
& sum(n15,n10) = n4
& sum(n15,n9) = n3
& sum(n15,n8) = n2
& sum(n15,n7) = n1
& sum(n15,n6) = n0
& sum(n15,n5) = n20
& sum(n15,n4) = n19
& sum(n15,n3) = n18
& sum(n15,n2) = n17
& sum(n15,n1) = n16
& sum(n15,n0) = n15
& sum(n14,n20) = n13
& sum(n14,n19) = n12
& sum(n14,n18) = n11
& sum(n14,n17) = n10
& sum(n14,n16) = n9
& sum(n14,n15) = n8
& sum(n14,n14) = n7
& sum(n14,n13) = n6
& sum(n14,n12) = n5
& sum(n14,n11) = n4
& sum(n14,n10) = n3
& sum(n14,n9) = n2
& sum(n14,n8) = n1
& sum(n14,n7) = n0
& sum(n14,n6) = n20
& sum(n14,n5) = n19
& sum(n14,n4) = n18
& sum(n14,n3) = n17
& sum(n14,n2) = n16
& sum(n14,n1) = n15
& sum(n14,n0) = n14
& sum(n13,n20) = n12
& sum(n13,n19) = n11
& sum(n13,n18) = n10
& sum(n13,n17) = n9
& sum(n13,n16) = n8
& sum(n13,n15) = n7
& sum(n13,n14) = n6
& sum(n13,n13) = n5
& sum(n13,n12) = n4
& sum(n13,n11) = n3
& sum(n13,n10) = n2
& sum(n13,n9) = n1
& sum(n13,n8) = n0
& sum(n13,n7) = n20
& sum(n13,n6) = n19
& sum(n13,n5) = n18
& sum(n13,n4) = n17
& sum(n13,n3) = n16
& sum(n13,n2) = n15
& sum(n13,n1) = n14
& sum(n13,n0) = n13
& sum(n12,n20) = n11
& sum(n12,n19) = n10
& sum(n12,n18) = n9
& sum(n12,n17) = n8
& sum(n12,n16) = n7
& sum(n12,n15) = n6
& sum(n12,n14) = n5
& sum(n12,n13) = n4
& sum(n12,n12) = n3
& sum(n12,n11) = n2
& sum(n12,n10) = n1
& sum(n12,n9) = n0
& sum(n12,n8) = n20
& sum(n12,n7) = n19
& sum(n12,n6) = n18
& sum(n12,n5) = n17
& sum(n12,n4) = n16
& sum(n12,n3) = n15
& sum(n12,n2) = n14
& sum(n12,n1) = n13
& sum(n12,n0) = n12
& sum(n11,n20) = n10
& sum(n11,n19) = n9
& sum(n11,n18) = n8
& sum(n11,n17) = n7
& sum(n11,n16) = n6
& sum(n11,n15) = n5
& sum(n11,n14) = n4
& sum(n11,n13) = n3
& sum(n11,n12) = n2
& sum(n11,n11) = n1
& sum(n11,n10) = n0
& sum(n11,n9) = n20
& sum(n11,n8) = n19
& sum(n11,n7) = n18
& sum(n11,n6) = n17
& sum(n11,n5) = n16
& sum(n11,n4) = n15
& sum(n11,n3) = n14
& sum(n11,n2) = n13
& sum(n11,n1) = n12
& sum(n11,n0) = n11
& sum(n10,n20) = n9
& sum(n10,n19) = n8
& sum(n10,n18) = n7
& sum(n10,n17) = n6
& sum(n10,n16) = n5
& sum(n10,n15) = n4
& sum(n10,n14) = n3
& sum(n10,n13) = n2
& sum(n10,n12) = n1
& sum(n10,n11) = n0
& sum(n10,n10) = n20
& sum(n10,n9) = n19
& sum(n10,n8) = n18
& sum(n10,n7) = n17
& sum(n10,n6) = n16
& sum(n10,n5) = n15
& sum(n10,n4) = n14
& sum(n10,n3) = n13
& sum(n10,n2) = n12
& sum(n10,n1) = n11
& sum(n10,n0) = n10
& sum(n9,n20) = n8
& sum(n9,n19) = n7
& sum(n9,n18) = n6
& sum(n9,n17) = n5
& sum(n9,n16) = n4
& sum(n9,n15) = n3
& sum(n9,n14) = n2
& sum(n9,n13) = n1
& sum(n9,n12) = n0
& sum(n9,n11) = n20
& sum(n9,n10) = n19
& sum(n9,n9) = n18
& sum(n9,n8) = n17
& sum(n9,n7) = n16
& sum(n9,n6) = n15
& sum(n9,n5) = n14
& sum(n9,n4) = n13
& sum(n9,n3) = n12
& sum(n9,n2) = n11
& sum(n9,n1) = n10
& sum(n9,n0) = n9
& sum(n8,n20) = n7
& sum(n8,n19) = n6
& sum(n8,n18) = n5
& sum(n8,n17) = n4
& sum(n8,n16) = n3
& sum(n8,n15) = n2
& sum(n8,n14) = n1
& sum(n8,n13) = n0
& sum(n8,n12) = n20
& sum(n8,n11) = n19
& sum(n8,n10) = n18
& sum(n8,n9) = n17
& sum(n8,n8) = n16
& sum(n8,n7) = n15
& sum(n8,n6) = n14
& sum(n8,n5) = n13
& sum(n8,n4) = n12
& sum(n8,n3) = n11
& sum(n8,n2) = n10
& sum(n8,n1) = n9
& sum(n8,n0) = n8
& sum(n7,n20) = n6
& sum(n7,n19) = n5
& sum(n7,n18) = n4
& sum(n7,n17) = n3
& sum(n7,n16) = n2
& sum(n7,n15) = n1
& sum(n7,n14) = n0
& sum(n7,n13) = n20
& sum(n7,n12) = n19
& sum(n7,n11) = n18
& sum(n7,n10) = n17
& sum(n7,n9) = n16
& sum(n7,n8) = n15
& sum(n7,n7) = n14
& sum(n7,n6) = n13
& sum(n7,n5) = n12
& sum(n7,n4) = n11
& sum(n7,n3) = n10
& sum(n7,n2) = n9
& sum(n7,n1) = n8
& sum(n7,n0) = n7
& sum(n6,n20) = n5
& sum(n6,n19) = n4
& sum(n6,n18) = n3
& sum(n6,n17) = n2
& sum(n6,n16) = n1
& sum(n6,n15) = n0
& sum(n6,n14) = n20
& sum(n6,n13) = n19
& sum(n6,n12) = n18
& sum(n6,n11) = n17
& sum(n6,n10) = n16
& sum(n6,n9) = n15
& sum(n6,n8) = n14
& sum(n6,n7) = n13
& sum(n6,n6) = n12
& sum(n6,n5) = n11
& sum(n6,n4) = n10
& sum(n6,n3) = n9
& sum(n6,n2) = n8
& sum(n6,n1) = n7
& sum(n6,n0) = n6
& sum(n5,n20) = n4
& sum(n5,n19) = n3
& sum(n5,n18) = n2
& sum(n5,n17) = n1
& sum(n5,n16) = n0
& sum(n5,n15) = n20
& sum(n5,n14) = n19
& sum(n5,n13) = n18
& sum(n5,n12) = n17
& sum(n5,n11) = n16
& sum(n5,n10) = n15
& sum(n5,n9) = n14
& sum(n5,n8) = n13
& sum(n5,n7) = n12
& sum(n5,n6) = n11
& sum(n5,n5) = n10
& sum(n5,n4) = n9
& sum(n5,n3) = n8
& sum(n5,n2) = n7
& sum(n5,n1) = n6
& sum(n5,n0) = n5
& sum(n4,n20) = n3
& sum(n4,n19) = n2
& sum(n4,n18) = n1
& sum(n4,n17) = n0
& sum(n4,n16) = n20
& sum(n4,n15) = n19
& sum(n4,n14) = n18
& sum(n4,n13) = n17
& sum(n4,n12) = n16
& sum(n4,n11) = n15
& sum(n4,n10) = n14
& sum(n4,n9) = n13
& sum(n4,n8) = n12
& sum(n4,n7) = n11
& sum(n4,n6) = n10
& sum(n4,n5) = n9
& sum(n4,n4) = n8
& sum(n4,n3) = n7
& sum(n4,n2) = n6
& sum(n4,n1) = n5
& sum(n4,n0) = n4
& sum(n3,n20) = n2
& sum(n3,n19) = n1
& sum(n3,n18) = n0
& sum(n3,n17) = n20
& sum(n3,n16) = n19
& sum(n3,n15) = n18
& sum(n3,n14) = n17
& sum(n3,n13) = n16
& sum(n3,n12) = n15
& sum(n3,n11) = n14
& sum(n3,n10) = n13
& sum(n3,n9) = n12
& sum(n3,n8) = n11
& sum(n3,n7) = n10
& sum(n3,n6) = n9
& sum(n3,n5) = n8
& sum(n3,n4) = n7
& sum(n3,n3) = n6
& sum(n3,n2) = n5
& sum(n3,n1) = n4
& sum(n3,n0) = n3
& sum(n2,n20) = n1
& sum(n2,n19) = n0
& sum(n2,n18) = n20
& sum(n2,n17) = n19
& sum(n2,n16) = n18
& sum(n2,n15) = n17
& sum(n2,n14) = n16
& sum(n2,n13) = n15
& sum(n2,n12) = n14
& sum(n2,n11) = n13
& sum(n2,n10) = n12
& sum(n2,n9) = n11
& sum(n2,n8) = n10
& sum(n2,n7) = n9
& sum(n2,n6) = n8
& sum(n2,n5) = n7
& sum(n2,n4) = n6
& sum(n2,n3) = n5
& sum(n2,n2) = n4
& sum(n2,n1) = n3
& sum(n2,n0) = n2
& sum(n1,n20) = n0
& sum(n1,n19) = n20
& sum(n1,n18) = n19
& sum(n1,n17) = n18
& sum(n1,n16) = n17
& sum(n1,n15) = n16
& sum(n1,n14) = n15
& sum(n1,n13) = n14
& sum(n1,n12) = n13
& sum(n1,n11) = n12
& sum(n1,n10) = n11
& sum(n1,n9) = n10
& sum(n1,n8) = n9
& sum(n1,n7) = n8
& sum(n1,n6) = n7
& sum(n1,n5) = n6
& sum(n1,n4) = n5
& sum(n1,n3) = n4
& sum(n1,n2) = n3
& sum(n1,n1) = n2
& sum(n1,n0) = n1
& sum(n0,n20) = n20
& sum(n0,n19) = n19
& sum(n0,n18) = n18
& sum(n0,n17) = n17
& sum(n0,n16) = n16
& sum(n0,n15) = n15
& sum(n0,n14) = n14
& sum(n0,n13) = n13
& sum(n0,n12) = n12
& sum(n0,n11) = n11
& sum(n0,n10) = n10
& sum(n0,n9) = n9
& sum(n0,n8) = n8
& sum(n0,n7) = n7
& sum(n0,n6) = n6
& sum(n0,n5) = n5
& sum(n0,n4) = n4
& sum(n0,n3) = n3
& sum(n0,n2) = n2
& sum(n0,n1) = n1
& sum(n0,n0) = n0
& pred(n20) = n19
& pred(n19) = n18
& pred(n18) = n17
& pred(n17) = n16
& pred(n16) = n15
& pred(n15) = n14
& pred(n14) = n13
& pred(n13) = n12
& pred(n12) = n11
& pred(n11) = n10
& pred(n10) = n9
& pred(n9) = n8
& pred(n8) = n7
& pred(n7) = n6
& pred(n6) = n5
& pred(n5) = n4
& pred(n4) = n3
& pred(n3) = n2
& pred(n2) = n1
& pred(n1) = n0
& pred(n0) = n20
& succ(n20) = n0
& 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(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f1]) ).
fof(f213,plain,
n20 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f214,plain,
n19 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f215,plain,
n18 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f216,plain,
n17 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f217,plain,
n16 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f218,plain,
n15 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f219,plain,
n14 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f220,plain,
n13 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f221,plain,
n12 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f222,plain,
n11 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f223,plain,
n10 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f224,plain,
n9 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f225,plain,
n8 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f226,plain,
n7 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f227,plain,
n6 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f228,plain,
n5 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f229,plain,
n4 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f230,plain,
n3 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f231,plain,
n2 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f232,plain,
n1 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f233,plain,
n0 != sK2,
inference(cnf_transformation,[],[f2]) ).
fof(f234,plain,
sK2 = sum(pred(sum(sK0,succ(sK1))),sum(sK1,pred(sum(sK0,sK1)))),
inference(cnf_transformation,[],[f2]) ).
fof(f235,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,[],[f2]) ).
fof(f236,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,[],[f2]) ).
fof(f237,plain,
n19 = sum(n20,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f238,plain,
n18 = sum(n20,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f239,plain,
n17 = sum(n20,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f240,plain,
n16 = sum(n20,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f241,plain,
n15 = sum(n20,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f242,plain,
n14 = sum(n20,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f243,plain,
n13 = sum(n20,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f244,plain,
n12 = sum(n20,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f245,plain,
n11 = sum(n20,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f246,plain,
n10 = sum(n20,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f247,plain,
n9 = sum(n20,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f248,plain,
n8 = sum(n20,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f249,plain,
n7 = sum(n20,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f250,plain,
n6 = sum(n20,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f251,plain,
n5 = sum(n20,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f252,plain,
n4 = sum(n20,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f253,plain,
n3 = sum(n20,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f254,plain,
n2 = sum(n20,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f255,plain,
n1 = sum(n20,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f256,plain,
n0 = sum(n20,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f257,plain,
n20 = sum(n20,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f258,plain,
n18 = sum(n19,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f259,plain,
n17 = sum(n19,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f260,plain,
n16 = sum(n19,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f261,plain,
n15 = sum(n19,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f262,plain,
n14 = sum(n19,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f263,plain,
n13 = sum(n19,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f264,plain,
n12 = sum(n19,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f265,plain,
n11 = sum(n19,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f266,plain,
n10 = sum(n19,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f267,plain,
n9 = sum(n19,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f268,plain,
n8 = sum(n19,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f269,plain,
n7 = sum(n19,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f270,plain,
n6 = sum(n19,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f271,plain,
n5 = sum(n19,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f272,plain,
n4 = sum(n19,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f273,plain,
n3 = sum(n19,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f274,plain,
n2 = sum(n19,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f275,plain,
n1 = sum(n19,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f276,plain,
n0 = sum(n19,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f277,plain,
n20 = sum(n19,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f278,plain,
n19 = sum(n19,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f279,plain,
n17 = sum(n18,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f280,plain,
n16 = sum(n18,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f281,plain,
n15 = sum(n18,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f282,plain,
n14 = sum(n18,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f283,plain,
n13 = sum(n18,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f284,plain,
n12 = sum(n18,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f285,plain,
n11 = sum(n18,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f286,plain,
n10 = sum(n18,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f287,plain,
n9 = sum(n18,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f288,plain,
n8 = sum(n18,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f289,plain,
n7 = sum(n18,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f290,plain,
n6 = sum(n18,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f291,plain,
n5 = sum(n18,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f292,plain,
n4 = sum(n18,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f293,plain,
n3 = sum(n18,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f294,plain,
n2 = sum(n18,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f295,plain,
n1 = sum(n18,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f296,plain,
n0 = sum(n18,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f297,plain,
n20 = sum(n18,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f298,plain,
n19 = sum(n18,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f299,plain,
n18 = sum(n18,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f300,plain,
n16 = sum(n17,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f301,plain,
n15 = sum(n17,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f302,plain,
n14 = sum(n17,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f303,plain,
n13 = sum(n17,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f304,plain,
n12 = sum(n17,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f305,plain,
n11 = sum(n17,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f306,plain,
n10 = sum(n17,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f307,plain,
n9 = sum(n17,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f308,plain,
n8 = sum(n17,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f309,plain,
n7 = sum(n17,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f310,plain,
n6 = sum(n17,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f311,plain,
n5 = sum(n17,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f312,plain,
n4 = sum(n17,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f313,plain,
n3 = sum(n17,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f314,plain,
n2 = sum(n17,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f315,plain,
n1 = sum(n17,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f316,plain,
n0 = sum(n17,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f317,plain,
n20 = sum(n17,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f318,plain,
n19 = sum(n17,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f319,plain,
n18 = sum(n17,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f320,plain,
n17 = sum(n17,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f321,plain,
n15 = sum(n16,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f322,plain,
n14 = sum(n16,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f323,plain,
n13 = sum(n16,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f324,plain,
n12 = sum(n16,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f325,plain,
n11 = sum(n16,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f326,plain,
n10 = sum(n16,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f327,plain,
n9 = sum(n16,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f328,plain,
n8 = sum(n16,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f329,plain,
n7 = sum(n16,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f330,plain,
n6 = sum(n16,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f331,plain,
n5 = sum(n16,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f332,plain,
n4 = sum(n16,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f333,plain,
n3 = sum(n16,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f334,plain,
n2 = sum(n16,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f335,plain,
n1 = sum(n16,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f336,plain,
n0 = sum(n16,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f337,plain,
n20 = sum(n16,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f338,plain,
n19 = sum(n16,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f339,plain,
n18 = sum(n16,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f340,plain,
n17 = sum(n16,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f341,plain,
n16 = sum(n16,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f342,plain,
n14 = sum(n15,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f343,plain,
n13 = sum(n15,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f344,plain,
n12 = sum(n15,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f345,plain,
n11 = sum(n15,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f346,plain,
n10 = sum(n15,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f347,plain,
n9 = sum(n15,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f348,plain,
n8 = sum(n15,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f349,plain,
n7 = sum(n15,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f350,plain,
n6 = sum(n15,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f351,plain,
n5 = sum(n15,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f352,plain,
n4 = sum(n15,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f353,plain,
n3 = sum(n15,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f354,plain,
n2 = sum(n15,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f355,plain,
n1 = sum(n15,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f356,plain,
n0 = sum(n15,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f357,plain,
n20 = sum(n15,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f358,plain,
n19 = sum(n15,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f359,plain,
n18 = sum(n15,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f360,plain,
n17 = sum(n15,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f361,plain,
n16 = sum(n15,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f362,plain,
n15 = sum(n15,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f363,plain,
n13 = sum(n14,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f364,plain,
n12 = sum(n14,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f365,plain,
n11 = sum(n14,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f366,plain,
n10 = sum(n14,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f367,plain,
n9 = sum(n14,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f368,plain,
n8 = sum(n14,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f369,plain,
n7 = sum(n14,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f370,plain,
n6 = sum(n14,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f371,plain,
n5 = sum(n14,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f372,plain,
n4 = sum(n14,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f373,plain,
n3 = sum(n14,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f374,plain,
n2 = sum(n14,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f375,plain,
n1 = sum(n14,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f376,plain,
n0 = sum(n14,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f377,plain,
n20 = sum(n14,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f378,plain,
n19 = sum(n14,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f379,plain,
n18 = sum(n14,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f380,plain,
n17 = sum(n14,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f381,plain,
n16 = sum(n14,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f382,plain,
n15 = sum(n14,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f383,plain,
n14 = sum(n14,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f384,plain,
n12 = sum(n13,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f385,plain,
n11 = sum(n13,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f386,plain,
n10 = sum(n13,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f387,plain,
n9 = sum(n13,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f388,plain,
n8 = sum(n13,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f389,plain,
n7 = sum(n13,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f390,plain,
n6 = sum(n13,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f391,plain,
n5 = sum(n13,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f392,plain,
n4 = sum(n13,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f393,plain,
n3 = sum(n13,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f394,plain,
n2 = sum(n13,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f395,plain,
n1 = sum(n13,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f396,plain,
n0 = sum(n13,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f397,plain,
n20 = sum(n13,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f398,plain,
n19 = sum(n13,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f399,plain,
n18 = sum(n13,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f400,plain,
n17 = sum(n13,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f401,plain,
n16 = sum(n13,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f402,plain,
n15 = sum(n13,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f403,plain,
n14 = sum(n13,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f404,plain,
n13 = sum(n13,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f405,plain,
n11 = sum(n12,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f406,plain,
n10 = sum(n12,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f407,plain,
n9 = sum(n12,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f408,plain,
n8 = sum(n12,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f409,plain,
n7 = sum(n12,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f410,plain,
n6 = sum(n12,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f411,plain,
n5 = sum(n12,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f412,plain,
n4 = sum(n12,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f413,plain,
n3 = sum(n12,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f414,plain,
n2 = sum(n12,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f415,plain,
n1 = sum(n12,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f416,plain,
n0 = sum(n12,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f417,plain,
n20 = sum(n12,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f418,plain,
n19 = sum(n12,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f419,plain,
n18 = sum(n12,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f420,plain,
n17 = sum(n12,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f421,plain,
n16 = sum(n12,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f422,plain,
n15 = sum(n12,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f423,plain,
n14 = sum(n12,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f424,plain,
n13 = sum(n12,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f425,plain,
n12 = sum(n12,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f426,plain,
n10 = sum(n11,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f427,plain,
n9 = sum(n11,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f428,plain,
n8 = sum(n11,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f429,plain,
n7 = sum(n11,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f430,plain,
n6 = sum(n11,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f431,plain,
n5 = sum(n11,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f432,plain,
n4 = sum(n11,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f433,plain,
n3 = sum(n11,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f434,plain,
n2 = sum(n11,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f435,plain,
n1 = sum(n11,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f436,plain,
n0 = sum(n11,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f437,plain,
n20 = sum(n11,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f438,plain,
n19 = sum(n11,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f439,plain,
n18 = sum(n11,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f440,plain,
n17 = sum(n11,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f441,plain,
n16 = sum(n11,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f442,plain,
n15 = sum(n11,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f443,plain,
n14 = sum(n11,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f444,plain,
n13 = sum(n11,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f445,plain,
n12 = sum(n11,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f446,plain,
n11 = sum(n11,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f447,plain,
n9 = sum(n10,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f448,plain,
n8 = sum(n10,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f449,plain,
n7 = sum(n10,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f450,plain,
n6 = sum(n10,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f451,plain,
n5 = sum(n10,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f452,plain,
n4 = sum(n10,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f453,plain,
n3 = sum(n10,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f454,plain,
n2 = sum(n10,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f455,plain,
n1 = sum(n10,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f456,plain,
n0 = sum(n10,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f457,plain,
n20 = sum(n10,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f458,plain,
n19 = sum(n10,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f459,plain,
n18 = sum(n10,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f460,plain,
n17 = sum(n10,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f461,plain,
n16 = sum(n10,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f462,plain,
n15 = sum(n10,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f463,plain,
n14 = sum(n10,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f464,plain,
n13 = sum(n10,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f465,plain,
n12 = sum(n10,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f466,plain,
n11 = sum(n10,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f467,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f468,plain,
n8 = sum(n9,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f469,plain,
n7 = sum(n9,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f470,plain,
n6 = sum(n9,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f471,plain,
n5 = sum(n9,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f472,plain,
n4 = sum(n9,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f473,plain,
n3 = sum(n9,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f474,plain,
n2 = sum(n9,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f475,plain,
n1 = sum(n9,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f476,plain,
n0 = sum(n9,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f477,plain,
n20 = sum(n9,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f478,plain,
n19 = sum(n9,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f479,plain,
n18 = sum(n9,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f480,plain,
n17 = sum(n9,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f481,plain,
n16 = sum(n9,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f482,plain,
n15 = sum(n9,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f483,plain,
n14 = sum(n9,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f484,plain,
n13 = sum(n9,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f485,plain,
n12 = sum(n9,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f486,plain,
n11 = sum(n9,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f487,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f488,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f489,plain,
n7 = sum(n8,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f490,plain,
n6 = sum(n8,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f491,plain,
n5 = sum(n8,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f492,plain,
n4 = sum(n8,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f493,plain,
n3 = sum(n8,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f494,plain,
n2 = sum(n8,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f495,plain,
n1 = sum(n8,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f496,plain,
n0 = sum(n8,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f497,plain,
n20 = sum(n8,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f498,plain,
n19 = sum(n8,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f499,plain,
n18 = sum(n8,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f500,plain,
n17 = sum(n8,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f501,plain,
n16 = sum(n8,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f502,plain,
n15 = sum(n8,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f503,plain,
n14 = sum(n8,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f504,plain,
n13 = sum(n8,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f505,plain,
n12 = sum(n8,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f506,plain,
n11 = sum(n8,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f507,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f508,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f509,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f510,plain,
n6 = sum(n7,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f511,plain,
n5 = sum(n7,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f512,plain,
n4 = sum(n7,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f513,plain,
n3 = sum(n7,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f514,plain,
n2 = sum(n7,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f515,plain,
n1 = sum(n7,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f516,plain,
n0 = sum(n7,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f517,plain,
n20 = sum(n7,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f518,plain,
n19 = sum(n7,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f519,plain,
n18 = sum(n7,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f520,plain,
n17 = sum(n7,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f521,plain,
n16 = sum(n7,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f522,plain,
n15 = sum(n7,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f523,plain,
n14 = sum(n7,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f524,plain,
n13 = sum(n7,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f525,plain,
n12 = sum(n7,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f526,plain,
n11 = sum(n7,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f527,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f528,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f529,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f530,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f531,plain,
n5 = sum(n6,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f532,plain,
n4 = sum(n6,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f533,plain,
n3 = sum(n6,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f534,plain,
n2 = sum(n6,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f535,plain,
n1 = sum(n6,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f536,plain,
n0 = sum(n6,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f537,plain,
n20 = sum(n6,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f538,plain,
n19 = sum(n6,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f539,plain,
n18 = sum(n6,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f540,plain,
n17 = sum(n6,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f541,plain,
n16 = sum(n6,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f542,plain,
n15 = sum(n6,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f543,plain,
n14 = sum(n6,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f544,plain,
n13 = sum(n6,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f545,plain,
n12 = sum(n6,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f546,plain,
n11 = sum(n6,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f547,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f548,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f549,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f550,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f551,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f552,plain,
n4 = sum(n5,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f553,plain,
n3 = sum(n5,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f554,plain,
n2 = sum(n5,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f555,plain,
n1 = sum(n5,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f556,plain,
n0 = sum(n5,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f557,plain,
n20 = sum(n5,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f558,plain,
n19 = sum(n5,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f559,plain,
n18 = sum(n5,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f560,plain,
n17 = sum(n5,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f561,plain,
n16 = sum(n5,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f562,plain,
n15 = sum(n5,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f563,plain,
n14 = sum(n5,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f564,plain,
n13 = sum(n5,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f565,plain,
n12 = sum(n5,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f566,plain,
n11 = sum(n5,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f567,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f568,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f569,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f570,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f571,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f572,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f573,plain,
n3 = sum(n4,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f574,plain,
n2 = sum(n4,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f575,plain,
n1 = sum(n4,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f576,plain,
n0 = sum(n4,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f577,plain,
n20 = sum(n4,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f578,plain,
n19 = sum(n4,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f579,plain,
n18 = sum(n4,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f580,plain,
n17 = sum(n4,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f581,plain,
n16 = sum(n4,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f582,plain,
n15 = sum(n4,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f583,plain,
n14 = sum(n4,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f584,plain,
n13 = sum(n4,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f585,plain,
n12 = sum(n4,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f586,plain,
n11 = sum(n4,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f587,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f588,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f589,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f590,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f591,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f592,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f593,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f594,plain,
n2 = sum(n3,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f595,plain,
n1 = sum(n3,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f596,plain,
n0 = sum(n3,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f597,plain,
n20 = sum(n3,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f598,plain,
n19 = sum(n3,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f599,plain,
n18 = sum(n3,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f600,plain,
n17 = sum(n3,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f601,plain,
n16 = sum(n3,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f602,plain,
n15 = sum(n3,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f603,plain,
n14 = sum(n3,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f604,plain,
n13 = sum(n3,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f605,plain,
n12 = sum(n3,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f606,plain,
n11 = sum(n3,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f607,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f608,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f609,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f610,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f611,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f612,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f613,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f614,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f615,plain,
n1 = sum(n2,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f616,plain,
n0 = sum(n2,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f617,plain,
n20 = sum(n2,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f618,plain,
n19 = sum(n2,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f619,plain,
n18 = sum(n2,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f620,plain,
n17 = sum(n2,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f621,plain,
n16 = sum(n2,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f622,plain,
n15 = sum(n2,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f623,plain,
n14 = sum(n2,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f624,plain,
n13 = sum(n2,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f625,plain,
n12 = sum(n2,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f626,plain,
n11 = sum(n2,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f627,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f628,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f629,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f630,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f631,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f632,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f633,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f634,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f635,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f636,plain,
n0 = sum(n1,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f637,plain,
n20 = sum(n1,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f638,plain,
n19 = sum(n1,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f639,plain,
n18 = sum(n1,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f640,plain,
n17 = sum(n1,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f641,plain,
n16 = sum(n1,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f642,plain,
n15 = sum(n1,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f643,plain,
n14 = sum(n1,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f644,plain,
n13 = sum(n1,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f645,plain,
n12 = sum(n1,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f646,plain,
n11 = sum(n1,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f647,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f648,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f649,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f650,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f651,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f652,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f653,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f654,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f655,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f656,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f657,plain,
n20 = sum(n0,n20),
inference(cnf_transformation,[],[f2]) ).
fof(f658,plain,
n19 = sum(n0,n19),
inference(cnf_transformation,[],[f2]) ).
fof(f659,plain,
n18 = sum(n0,n18),
inference(cnf_transformation,[],[f2]) ).
fof(f660,plain,
n17 = sum(n0,n17),
inference(cnf_transformation,[],[f2]) ).
fof(f661,plain,
n16 = sum(n0,n16),
inference(cnf_transformation,[],[f2]) ).
fof(f662,plain,
n15 = sum(n0,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f663,plain,
n14 = sum(n0,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f664,plain,
n13 = sum(n0,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f665,plain,
n12 = sum(n0,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f666,plain,
n11 = sum(n0,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f667,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f668,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f669,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f670,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f671,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f672,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f673,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f674,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f675,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f676,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f677,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f678,plain,
n19 = pred(n20),
inference(cnf_transformation,[],[f2]) ).
fof(f679,plain,
n18 = pred(n19),
inference(cnf_transformation,[],[f2]) ).
fof(f680,plain,
n17 = pred(n18),
inference(cnf_transformation,[],[f2]) ).
fof(f681,plain,
n16 = pred(n17),
inference(cnf_transformation,[],[f2]) ).
fof(f682,plain,
n15 = pred(n16),
inference(cnf_transformation,[],[f2]) ).
fof(f683,plain,
n14 = pred(n15),
inference(cnf_transformation,[],[f2]) ).
fof(f684,plain,
n13 = pred(n14),
inference(cnf_transformation,[],[f2]) ).
fof(f685,plain,
n12 = pred(n13),
inference(cnf_transformation,[],[f2]) ).
fof(f686,plain,
n11 = pred(n12),
inference(cnf_transformation,[],[f2]) ).
fof(f687,plain,
n10 = pred(n11),
inference(cnf_transformation,[],[f2]) ).
fof(f688,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f2]) ).
fof(f689,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f2]) ).
fof(f690,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f2]) ).
fof(f691,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f2]) ).
fof(f692,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f2]) ).
fof(f693,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f2]) ).
fof(f694,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f2]) ).
fof(f695,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f2]) ).
fof(f696,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f2]) ).
fof(f697,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f2]) ).
fof(f698,plain,
n20 = pred(n0),
inference(cnf_transformation,[],[f2]) ).
fof(f699,plain,
n0 = succ(n20),
inference(cnf_transformation,[],[f2]) ).
fof(f700,plain,
succ(n19) = n20,
inference(cnf_transformation,[],[f2]) ).
fof(f701,plain,
succ(n18) = n19,
inference(cnf_transformation,[],[f2]) ).
fof(f702,plain,
succ(n17) = n18,
inference(cnf_transformation,[],[f2]) ).
fof(f703,plain,
succ(n16) = n17,
inference(cnf_transformation,[],[f2]) ).
fof(f704,plain,
succ(n15) = n16,
inference(cnf_transformation,[],[f2]) ).
fof(f705,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f2]) ).
fof(f706,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f2]) ).
fof(f707,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f2]) ).
fof(f708,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f2]) ).
fof(f709,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f2]) ).
fof(f710,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f2]) ).
fof(f711,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f2]) ).
fof(f712,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f2]) ).
fof(f713,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f2]) ).
fof(f714,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f2]) ).
fof(f715,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f2]) ).
fof(f716,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f2]) ).
fof(f717,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f2]) ).
fof(f718,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f2]) ).
fof(f719,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_49,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f719]) ).
tcf(c_50,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f718]) ).
tcf(c_51,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f717]) ).
tcf(c_52,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f716]) ).
tcf(c_53,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f715]) ).
tcf(c_54,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f714]) ).
tcf(c_55,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f713]) ).
tcf(c_56,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f712]) ).
tcf(c_57,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f711]) ).
tcf(c_58,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f710]) ).
tcf(c_59,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f709]) ).
tcf(c_60,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f708]) ).
tcf(c_61,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f707]) ).
tcf(c_62,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f706]) ).
tcf(c_63,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f705]) ).
tcf(c_64,plain,
succ(n15) = n16,
inference(cnf_transformation,[],[f704]) ).
tcf(c_65,plain,
succ(n16) = n17,
inference(cnf_transformation,[],[f703]) ).
tcf(c_66,plain,
succ(n17) = n18,
inference(cnf_transformation,[],[f702]) ).
tcf(c_67,plain,
succ(n18) = n19,
inference(cnf_transformation,[],[f701]) ).
tcf(c_68,plain,
succ(n19) = n20,
inference(cnf_transformation,[],[f700]) ).
tcf(c_69,plain,
succ(n20) = n0,
inference(cnf_transformation,[],[f699]) ).
tcf(c_70,plain,
pred(n0) = n20,
inference(cnf_transformation,[],[f698]) ).
tcf(c_71,plain,
pred(n1) = n0,
inference(cnf_transformation,[],[f697]) ).
tcf(c_72,plain,
pred(n2) = n1,
inference(cnf_transformation,[],[f696]) ).
tcf(c_73,plain,
pred(n3) = n2,
inference(cnf_transformation,[],[f695]) ).
tcf(c_74,plain,
pred(n4) = n3,
inference(cnf_transformation,[],[f694]) ).
tcf(c_75,plain,
pred(n5) = n4,
inference(cnf_transformation,[],[f693]) ).
tcf(c_76,plain,
pred(n6) = n5,
inference(cnf_transformation,[],[f692]) ).
tcf(c_77,plain,
pred(n7) = n6,
inference(cnf_transformation,[],[f691]) ).
tcf(c_78,plain,
pred(n8) = n7,
inference(cnf_transformation,[],[f690]) ).
tcf(c_79,plain,
pred(n9) = n8,
inference(cnf_transformation,[],[f689]) ).
tcf(c_80,plain,
pred(n10) = n9,
inference(cnf_transformation,[],[f688]) ).
tcf(c_81,plain,
pred(n11) = n10,
inference(cnf_transformation,[],[f687]) ).
tcf(c_82,plain,
pred(n12) = n11,
inference(cnf_transformation,[],[f686]) ).
tcf(c_83,plain,
pred(n13) = n12,
inference(cnf_transformation,[],[f685]) ).
tcf(c_84,plain,
pred(n14) = n13,
inference(cnf_transformation,[],[f684]) ).
tcf(c_85,plain,
pred(n15) = n14,
inference(cnf_transformation,[],[f683]) ).
tcf(c_86,plain,
pred(n16) = n15,
inference(cnf_transformation,[],[f682]) ).
tcf(c_87,plain,
pred(n17) = n16,
inference(cnf_transformation,[],[f681]) ).
tcf(c_88,plain,
pred(n18) = n17,
inference(cnf_transformation,[],[f680]) ).
tcf(c_89,plain,
pred(n19) = n18,
inference(cnf_transformation,[],[f679]) ).
tcf(c_90,plain,
pred(n20) = n19,
inference(cnf_transformation,[],[f678]) ).
tcf(c_91,plain,
sum(n0,n0) = n0,
inference(cnf_transformation,[],[f677]) ).
tcf(c_92,plain,
sum(n0,n1) = n1,
inference(cnf_transformation,[],[f676]) ).
tcf(c_93,plain,
sum(n0,n2) = n2,
inference(cnf_transformation,[],[f675]) ).
tcf(c_94,plain,
sum(n0,n3) = n3,
inference(cnf_transformation,[],[f674]) ).
tcf(c_95,plain,
sum(n0,n4) = n4,
inference(cnf_transformation,[],[f673]) ).
tcf(c_96,plain,
sum(n0,n5) = n5,
inference(cnf_transformation,[],[f672]) ).
tcf(c_97,plain,
sum(n0,n6) = n6,
inference(cnf_transformation,[],[f671]) ).
tcf(c_98,plain,
sum(n0,n7) = n7,
inference(cnf_transformation,[],[f670]) ).
tcf(c_99,plain,
sum(n0,n8) = n8,
inference(cnf_transformation,[],[f669]) ).
tcf(c_100,plain,
sum(n0,n9) = n9,
inference(cnf_transformation,[],[f668]) ).
tcf(c_101,plain,
sum(n0,n10) = n10,
inference(cnf_transformation,[],[f667]) ).
tcf(c_102,plain,
sum(n0,n11) = n11,
inference(cnf_transformation,[],[f666]) ).
tcf(c_103,plain,
sum(n0,n12) = n12,
inference(cnf_transformation,[],[f665]) ).
tcf(c_104,plain,
sum(n0,n13) = n13,
inference(cnf_transformation,[],[f664]) ).
tcf(c_105,plain,
sum(n0,n14) = n14,
inference(cnf_transformation,[],[f663]) ).
tcf(c_106,plain,
sum(n0,n15) = n15,
inference(cnf_transformation,[],[f662]) ).
tcf(c_107,plain,
sum(n0,n16) = n16,
inference(cnf_transformation,[],[f661]) ).
tcf(c_108,plain,
sum(n0,n17) = n17,
inference(cnf_transformation,[],[f660]) ).
tcf(c_109,plain,
sum(n0,n18) = n18,
inference(cnf_transformation,[],[f659]) ).
tcf(c_110,plain,
sum(n0,n19) = n19,
inference(cnf_transformation,[],[f658]) ).
tcf(c_111,plain,
sum(n0,n20) = n20,
inference(cnf_transformation,[],[f657]) ).
tcf(c_112,plain,
sum(n1,n0) = n1,
inference(cnf_transformation,[],[f656]) ).
tcf(c_113,plain,
sum(n1,n1) = n2,
inference(cnf_transformation,[],[f655]) ).
tcf(c_114,plain,
sum(n1,n2) = n3,
inference(cnf_transformation,[],[f654]) ).
tcf(c_115,plain,
sum(n1,n3) = n4,
inference(cnf_transformation,[],[f653]) ).
tcf(c_116,plain,
sum(n1,n4) = n5,
inference(cnf_transformation,[],[f652]) ).
tcf(c_117,plain,
sum(n1,n5) = n6,
inference(cnf_transformation,[],[f651]) ).
tcf(c_118,plain,
sum(n1,n6) = n7,
inference(cnf_transformation,[],[f650]) ).
tcf(c_119,plain,
sum(n1,n7) = n8,
inference(cnf_transformation,[],[f649]) ).
tcf(c_120,plain,
sum(n1,n8) = n9,
inference(cnf_transformation,[],[f648]) ).
tcf(c_121,plain,
sum(n1,n9) = n10,
inference(cnf_transformation,[],[f647]) ).
tcf(c_122,plain,
sum(n1,n10) = n11,
inference(cnf_transformation,[],[f646]) ).
tcf(c_123,plain,
sum(n1,n11) = n12,
inference(cnf_transformation,[],[f645]) ).
tcf(c_124,plain,
sum(n1,n12) = n13,
inference(cnf_transformation,[],[f644]) ).
tcf(c_125,plain,
sum(n1,n13) = n14,
inference(cnf_transformation,[],[f643]) ).
tcf(c_126,plain,
sum(n1,n14) = n15,
inference(cnf_transformation,[],[f642]) ).
tcf(c_127,plain,
sum(n1,n15) = n16,
inference(cnf_transformation,[],[f641]) ).
tcf(c_128,plain,
sum(n1,n16) = n17,
inference(cnf_transformation,[],[f640]) ).
tcf(c_129,plain,
sum(n1,n17) = n18,
inference(cnf_transformation,[],[f639]) ).
tcf(c_130,plain,
sum(n1,n18) = n19,
inference(cnf_transformation,[],[f638]) ).
tcf(c_131,plain,
sum(n1,n19) = n20,
inference(cnf_transformation,[],[f637]) ).
tcf(c_132,plain,
sum(n1,n20) = n0,
inference(cnf_transformation,[],[f636]) ).
tcf(c_133,plain,
sum(n2,n0) = n2,
inference(cnf_transformation,[],[f635]) ).
tcf(c_134,plain,
sum(n2,n1) = n3,
inference(cnf_transformation,[],[f634]) ).
tcf(c_135,plain,
sum(n2,n2) = n4,
inference(cnf_transformation,[],[f633]) ).
tcf(c_136,plain,
sum(n2,n3) = n5,
inference(cnf_transformation,[],[f632]) ).
tcf(c_137,plain,
sum(n2,n4) = n6,
inference(cnf_transformation,[],[f631]) ).
tcf(c_138,plain,
sum(n2,n5) = n7,
inference(cnf_transformation,[],[f630]) ).
tcf(c_139,plain,
sum(n2,n6) = n8,
inference(cnf_transformation,[],[f629]) ).
tcf(c_140,plain,
sum(n2,n7) = n9,
inference(cnf_transformation,[],[f628]) ).
tcf(c_141,plain,
sum(n2,n8) = n10,
inference(cnf_transformation,[],[f627]) ).
tcf(c_142,plain,
sum(n2,n9) = n11,
inference(cnf_transformation,[],[f626]) ).
tcf(c_143,plain,
sum(n2,n10) = n12,
inference(cnf_transformation,[],[f625]) ).
tcf(c_144,plain,
sum(n2,n11) = n13,
inference(cnf_transformation,[],[f624]) ).
tcf(c_145,plain,
sum(n2,n12) = n14,
inference(cnf_transformation,[],[f623]) ).
tcf(c_146,plain,
sum(n2,n13) = n15,
inference(cnf_transformation,[],[f622]) ).
tcf(c_147,plain,
sum(n2,n14) = n16,
inference(cnf_transformation,[],[f621]) ).
tcf(c_148,plain,
sum(n2,n15) = n17,
inference(cnf_transformation,[],[f620]) ).
tcf(c_149,plain,
sum(n2,n16) = n18,
inference(cnf_transformation,[],[f619]) ).
tcf(c_150,plain,
sum(n2,n17) = n19,
inference(cnf_transformation,[],[f618]) ).
tcf(c_151,plain,
sum(n2,n18) = n20,
inference(cnf_transformation,[],[f617]) ).
tcf(c_152,plain,
sum(n2,n19) = n0,
inference(cnf_transformation,[],[f616]) ).
tcf(c_153,plain,
sum(n2,n20) = n1,
inference(cnf_transformation,[],[f615]) ).
tcf(c_154,plain,
sum(n3,n0) = n3,
inference(cnf_transformation,[],[f614]) ).
tcf(c_155,plain,
sum(n3,n1) = n4,
inference(cnf_transformation,[],[f613]) ).
tcf(c_156,plain,
sum(n3,n2) = n5,
inference(cnf_transformation,[],[f612]) ).
tcf(c_157,plain,
sum(n3,n3) = n6,
inference(cnf_transformation,[],[f611]) ).
tcf(c_158,plain,
sum(n3,n4) = n7,
inference(cnf_transformation,[],[f610]) ).
tcf(c_159,plain,
sum(n3,n5) = n8,
inference(cnf_transformation,[],[f609]) ).
tcf(c_160,plain,
sum(n3,n6) = n9,
inference(cnf_transformation,[],[f608]) ).
tcf(c_161,plain,
sum(n3,n7) = n10,
inference(cnf_transformation,[],[f607]) ).
tcf(c_162,plain,
sum(n3,n8) = n11,
inference(cnf_transformation,[],[f606]) ).
tcf(c_163,plain,
sum(n3,n9) = n12,
inference(cnf_transformation,[],[f605]) ).
tcf(c_164,plain,
sum(n3,n10) = n13,
inference(cnf_transformation,[],[f604]) ).
tcf(c_165,plain,
sum(n3,n11) = n14,
inference(cnf_transformation,[],[f603]) ).
tcf(c_166,plain,
sum(n3,n12) = n15,
inference(cnf_transformation,[],[f602]) ).
tcf(c_167,plain,
sum(n3,n13) = n16,
inference(cnf_transformation,[],[f601]) ).
tcf(c_168,plain,
sum(n3,n14) = n17,
inference(cnf_transformation,[],[f600]) ).
tcf(c_169,plain,
sum(n3,n15) = n18,
inference(cnf_transformation,[],[f599]) ).
tcf(c_170,plain,
sum(n3,n16) = n19,
inference(cnf_transformation,[],[f598]) ).
tcf(c_171,plain,
sum(n3,n17) = n20,
inference(cnf_transformation,[],[f597]) ).
tcf(c_172,plain,
sum(n3,n18) = n0,
inference(cnf_transformation,[],[f596]) ).
tcf(c_173,plain,
sum(n3,n19) = n1,
inference(cnf_transformation,[],[f595]) ).
tcf(c_174,plain,
sum(n3,n20) = n2,
inference(cnf_transformation,[],[f594]) ).
tcf(c_175,plain,
sum(n4,n0) = n4,
inference(cnf_transformation,[],[f593]) ).
tcf(c_176,plain,
sum(n4,n1) = n5,
inference(cnf_transformation,[],[f592]) ).
tcf(c_177,plain,
sum(n4,n2) = n6,
inference(cnf_transformation,[],[f591]) ).
tcf(c_178,plain,
sum(n4,n3) = n7,
inference(cnf_transformation,[],[f590]) ).
tcf(c_179,plain,
sum(n4,n4) = n8,
inference(cnf_transformation,[],[f589]) ).
tcf(c_180,plain,
sum(n4,n5) = n9,
inference(cnf_transformation,[],[f588]) ).
tcf(c_181,plain,
sum(n4,n6) = n10,
inference(cnf_transformation,[],[f587]) ).
tcf(c_182,plain,
sum(n4,n7) = n11,
inference(cnf_transformation,[],[f586]) ).
tcf(c_183,plain,
sum(n4,n8) = n12,
inference(cnf_transformation,[],[f585]) ).
tcf(c_184,plain,
sum(n4,n9) = n13,
inference(cnf_transformation,[],[f584]) ).
tcf(c_185,plain,
sum(n4,n10) = n14,
inference(cnf_transformation,[],[f583]) ).
tcf(c_186,plain,
sum(n4,n11) = n15,
inference(cnf_transformation,[],[f582]) ).
tcf(c_187,plain,
sum(n4,n12) = n16,
inference(cnf_transformation,[],[f581]) ).
tcf(c_188,plain,
sum(n4,n13) = n17,
inference(cnf_transformation,[],[f580]) ).
tcf(c_189,plain,
sum(n4,n14) = n18,
inference(cnf_transformation,[],[f579]) ).
tcf(c_190,plain,
sum(n4,n15) = n19,
inference(cnf_transformation,[],[f578]) ).
tcf(c_191,plain,
sum(n4,n16) = n20,
inference(cnf_transformation,[],[f577]) ).
tcf(c_192,plain,
sum(n4,n17) = n0,
inference(cnf_transformation,[],[f576]) ).
tcf(c_193,plain,
sum(n4,n18) = n1,
inference(cnf_transformation,[],[f575]) ).
tcf(c_194,plain,
sum(n4,n19) = n2,
inference(cnf_transformation,[],[f574]) ).
tcf(c_195,plain,
sum(n4,n20) = n3,
inference(cnf_transformation,[],[f573]) ).
tcf(c_196,plain,
sum(n5,n0) = n5,
inference(cnf_transformation,[],[f572]) ).
tcf(c_197,plain,
sum(n5,n1) = n6,
inference(cnf_transformation,[],[f571]) ).
tcf(c_198,plain,
sum(n5,n2) = n7,
inference(cnf_transformation,[],[f570]) ).
tcf(c_199,plain,
sum(n5,n3) = n8,
inference(cnf_transformation,[],[f569]) ).
tcf(c_200,plain,
sum(n5,n4) = n9,
inference(cnf_transformation,[],[f568]) ).
tcf(c_201,plain,
sum(n5,n5) = n10,
inference(cnf_transformation,[],[f567]) ).
tcf(c_202,plain,
sum(n5,n6) = n11,
inference(cnf_transformation,[],[f566]) ).
tcf(c_203,plain,
sum(n5,n7) = n12,
inference(cnf_transformation,[],[f565]) ).
tcf(c_204,plain,
sum(n5,n8) = n13,
inference(cnf_transformation,[],[f564]) ).
tcf(c_205,plain,
sum(n5,n9) = n14,
inference(cnf_transformation,[],[f563]) ).
tcf(c_206,plain,
sum(n5,n10) = n15,
inference(cnf_transformation,[],[f562]) ).
tcf(c_207,plain,
sum(n5,n11) = n16,
inference(cnf_transformation,[],[f561]) ).
tcf(c_208,plain,
sum(n5,n12) = n17,
inference(cnf_transformation,[],[f560]) ).
tcf(c_209,plain,
sum(n5,n13) = n18,
inference(cnf_transformation,[],[f559]) ).
tcf(c_210,plain,
sum(n5,n14) = n19,
inference(cnf_transformation,[],[f558]) ).
tcf(c_211,plain,
sum(n5,n15) = n20,
inference(cnf_transformation,[],[f557]) ).
tcf(c_212,plain,
sum(n5,n16) = n0,
inference(cnf_transformation,[],[f556]) ).
tcf(c_213,plain,
sum(n5,n17) = n1,
inference(cnf_transformation,[],[f555]) ).
tcf(c_214,plain,
sum(n5,n18) = n2,
inference(cnf_transformation,[],[f554]) ).
tcf(c_215,plain,
sum(n5,n19) = n3,
inference(cnf_transformation,[],[f553]) ).
tcf(c_216,plain,
sum(n5,n20) = n4,
inference(cnf_transformation,[],[f552]) ).
tcf(c_217,plain,
sum(n6,n0) = n6,
inference(cnf_transformation,[],[f551]) ).
tcf(c_218,plain,
sum(n6,n1) = n7,
inference(cnf_transformation,[],[f550]) ).
tcf(c_219,plain,
sum(n6,n2) = n8,
inference(cnf_transformation,[],[f549]) ).
tcf(c_220,plain,
sum(n6,n3) = n9,
inference(cnf_transformation,[],[f548]) ).
tcf(c_221,plain,
sum(n6,n4) = n10,
inference(cnf_transformation,[],[f547]) ).
tcf(c_222,plain,
sum(n6,n5) = n11,
inference(cnf_transformation,[],[f546]) ).
tcf(c_223,plain,
sum(n6,n6) = n12,
inference(cnf_transformation,[],[f545]) ).
tcf(c_224,plain,
sum(n6,n7) = n13,
inference(cnf_transformation,[],[f544]) ).
tcf(c_225,plain,
sum(n6,n8) = n14,
inference(cnf_transformation,[],[f543]) ).
tcf(c_226,plain,
sum(n6,n9) = n15,
inference(cnf_transformation,[],[f542]) ).
tcf(c_227,plain,
sum(n6,n10) = n16,
inference(cnf_transformation,[],[f541]) ).
tcf(c_228,plain,
sum(n6,n11) = n17,
inference(cnf_transformation,[],[f540]) ).
tcf(c_229,plain,
sum(n6,n12) = n18,
inference(cnf_transformation,[],[f539]) ).
tcf(c_230,plain,
sum(n6,n13) = n19,
inference(cnf_transformation,[],[f538]) ).
tcf(c_231,plain,
sum(n6,n14) = n20,
inference(cnf_transformation,[],[f537]) ).
tcf(c_232,plain,
sum(n6,n15) = n0,
inference(cnf_transformation,[],[f536]) ).
tcf(c_233,plain,
sum(n6,n16) = n1,
inference(cnf_transformation,[],[f535]) ).
tcf(c_234,plain,
sum(n6,n17) = n2,
inference(cnf_transformation,[],[f534]) ).
tcf(c_235,plain,
sum(n6,n18) = n3,
inference(cnf_transformation,[],[f533]) ).
tcf(c_236,plain,
sum(n6,n19) = n4,
inference(cnf_transformation,[],[f532]) ).
tcf(c_237,plain,
sum(n6,n20) = n5,
inference(cnf_transformation,[],[f531]) ).
tcf(c_238,plain,
sum(n7,n0) = n7,
inference(cnf_transformation,[],[f530]) ).
tcf(c_239,plain,
sum(n7,n1) = n8,
inference(cnf_transformation,[],[f529]) ).
tcf(c_240,plain,
sum(n7,n2) = n9,
inference(cnf_transformation,[],[f528]) ).
tcf(c_241,plain,
sum(n7,n3) = n10,
inference(cnf_transformation,[],[f527]) ).
tcf(c_242,plain,
sum(n7,n4) = n11,
inference(cnf_transformation,[],[f526]) ).
tcf(c_243,plain,
sum(n7,n5) = n12,
inference(cnf_transformation,[],[f525]) ).
tcf(c_244,plain,
sum(n7,n6) = n13,
inference(cnf_transformation,[],[f524]) ).
tcf(c_245,plain,
sum(n7,n7) = n14,
inference(cnf_transformation,[],[f523]) ).
tcf(c_246,plain,
sum(n7,n8) = n15,
inference(cnf_transformation,[],[f522]) ).
tcf(c_247,plain,
sum(n7,n9) = n16,
inference(cnf_transformation,[],[f521]) ).
tcf(c_248,plain,
sum(n7,n10) = n17,
inference(cnf_transformation,[],[f520]) ).
tcf(c_249,plain,
sum(n7,n11) = n18,
inference(cnf_transformation,[],[f519]) ).
tcf(c_250,plain,
sum(n7,n12) = n19,
inference(cnf_transformation,[],[f518]) ).
tcf(c_251,plain,
sum(n7,n13) = n20,
inference(cnf_transformation,[],[f517]) ).
tcf(c_252,plain,
sum(n7,n14) = n0,
inference(cnf_transformation,[],[f516]) ).
tcf(c_253,plain,
sum(n7,n15) = n1,
inference(cnf_transformation,[],[f515]) ).
tcf(c_254,plain,
sum(n7,n16) = n2,
inference(cnf_transformation,[],[f514]) ).
tcf(c_255,plain,
sum(n7,n17) = n3,
inference(cnf_transformation,[],[f513]) ).
tcf(c_256,plain,
sum(n7,n18) = n4,
inference(cnf_transformation,[],[f512]) ).
tcf(c_257,plain,
sum(n7,n19) = n5,
inference(cnf_transformation,[],[f511]) ).
tcf(c_258,plain,
sum(n7,n20) = n6,
inference(cnf_transformation,[],[f510]) ).
tcf(c_259,plain,
sum(n8,n0) = n8,
inference(cnf_transformation,[],[f509]) ).
tcf(c_260,plain,
sum(n8,n1) = n9,
inference(cnf_transformation,[],[f508]) ).
tcf(c_261,plain,
sum(n8,n2) = n10,
inference(cnf_transformation,[],[f507]) ).
tcf(c_262,plain,
sum(n8,n3) = n11,
inference(cnf_transformation,[],[f506]) ).
tcf(c_263,plain,
sum(n8,n4) = n12,
inference(cnf_transformation,[],[f505]) ).
tcf(c_264,plain,
sum(n8,n5) = n13,
inference(cnf_transformation,[],[f504]) ).
tcf(c_265,plain,
sum(n8,n6) = n14,
inference(cnf_transformation,[],[f503]) ).
tcf(c_266,plain,
sum(n8,n7) = n15,
inference(cnf_transformation,[],[f502]) ).
tcf(c_267,plain,
sum(n8,n8) = n16,
inference(cnf_transformation,[],[f501]) ).
tcf(c_268,plain,
sum(n8,n9) = n17,
inference(cnf_transformation,[],[f500]) ).
tcf(c_269,plain,
sum(n8,n10) = n18,
inference(cnf_transformation,[],[f499]) ).
tcf(c_270,plain,
sum(n8,n11) = n19,
inference(cnf_transformation,[],[f498]) ).
tcf(c_271,plain,
sum(n8,n12) = n20,
inference(cnf_transformation,[],[f497]) ).
tcf(c_272,plain,
sum(n8,n13) = n0,
inference(cnf_transformation,[],[f496]) ).
tcf(c_273,plain,
sum(n8,n14) = n1,
inference(cnf_transformation,[],[f495]) ).
tcf(c_274,plain,
sum(n8,n15) = n2,
inference(cnf_transformation,[],[f494]) ).
tcf(c_275,plain,
sum(n8,n16) = n3,
inference(cnf_transformation,[],[f493]) ).
tcf(c_276,plain,
sum(n8,n17) = n4,
inference(cnf_transformation,[],[f492]) ).
tcf(c_277,plain,
sum(n8,n18) = n5,
inference(cnf_transformation,[],[f491]) ).
tcf(c_278,plain,
sum(n8,n19) = n6,
inference(cnf_transformation,[],[f490]) ).
tcf(c_279,plain,
sum(n8,n20) = n7,
inference(cnf_transformation,[],[f489]) ).
tcf(c_280,plain,
sum(n9,n0) = n9,
inference(cnf_transformation,[],[f488]) ).
tcf(c_281,plain,
sum(n9,n1) = n10,
inference(cnf_transformation,[],[f487]) ).
tcf(c_282,plain,
sum(n9,n2) = n11,
inference(cnf_transformation,[],[f486]) ).
tcf(c_283,plain,
sum(n9,n3) = n12,
inference(cnf_transformation,[],[f485]) ).
tcf(c_284,plain,
sum(n9,n4) = n13,
inference(cnf_transformation,[],[f484]) ).
tcf(c_285,plain,
sum(n9,n5) = n14,
inference(cnf_transformation,[],[f483]) ).
tcf(c_286,plain,
sum(n9,n6) = n15,
inference(cnf_transformation,[],[f482]) ).
tcf(c_287,plain,
sum(n9,n7) = n16,
inference(cnf_transformation,[],[f481]) ).
tcf(c_288,plain,
sum(n9,n8) = n17,
inference(cnf_transformation,[],[f480]) ).
tcf(c_289,plain,
sum(n9,n9) = n18,
inference(cnf_transformation,[],[f479]) ).
tcf(c_290,plain,
sum(n9,n10) = n19,
inference(cnf_transformation,[],[f478]) ).
tcf(c_291,plain,
sum(n9,n11) = n20,
inference(cnf_transformation,[],[f477]) ).
tcf(c_292,plain,
sum(n9,n12) = n0,
inference(cnf_transformation,[],[f476]) ).
tcf(c_293,plain,
sum(n9,n13) = n1,
inference(cnf_transformation,[],[f475]) ).
tcf(c_294,plain,
sum(n9,n14) = n2,
inference(cnf_transformation,[],[f474]) ).
tcf(c_295,plain,
sum(n9,n15) = n3,
inference(cnf_transformation,[],[f473]) ).
tcf(c_296,plain,
sum(n9,n16) = n4,
inference(cnf_transformation,[],[f472]) ).
tcf(c_297,plain,
sum(n9,n17) = n5,
inference(cnf_transformation,[],[f471]) ).
tcf(c_298,plain,
sum(n9,n18) = n6,
inference(cnf_transformation,[],[f470]) ).
tcf(c_299,plain,
sum(n9,n19) = n7,
inference(cnf_transformation,[],[f469]) ).
tcf(c_300,plain,
sum(n9,n20) = n8,
inference(cnf_transformation,[],[f468]) ).
tcf(c_301,plain,
sum(n10,n0) = n10,
inference(cnf_transformation,[],[f467]) ).
tcf(c_302,plain,
sum(n10,n1) = n11,
inference(cnf_transformation,[],[f466]) ).
tcf(c_303,plain,
sum(n10,n2) = n12,
inference(cnf_transformation,[],[f465]) ).
tcf(c_304,plain,
sum(n10,n3) = n13,
inference(cnf_transformation,[],[f464]) ).
tcf(c_305,plain,
sum(n10,n4) = n14,
inference(cnf_transformation,[],[f463]) ).
tcf(c_306,plain,
sum(n10,n5) = n15,
inference(cnf_transformation,[],[f462]) ).
tcf(c_307,plain,
sum(n10,n6) = n16,
inference(cnf_transformation,[],[f461]) ).
tcf(c_308,plain,
sum(n10,n7) = n17,
inference(cnf_transformation,[],[f460]) ).
tcf(c_309,plain,
sum(n10,n8) = n18,
inference(cnf_transformation,[],[f459]) ).
tcf(c_310,plain,
sum(n10,n9) = n19,
inference(cnf_transformation,[],[f458]) ).
tcf(c_311,plain,
sum(n10,n10) = n20,
inference(cnf_transformation,[],[f457]) ).
tcf(c_312,plain,
sum(n10,n11) = n0,
inference(cnf_transformation,[],[f456]) ).
tcf(c_313,plain,
sum(n10,n12) = n1,
inference(cnf_transformation,[],[f455]) ).
tcf(c_314,plain,
sum(n10,n13) = n2,
inference(cnf_transformation,[],[f454]) ).
tcf(c_315,plain,
sum(n10,n14) = n3,
inference(cnf_transformation,[],[f453]) ).
tcf(c_316,plain,
sum(n10,n15) = n4,
inference(cnf_transformation,[],[f452]) ).
tcf(c_317,plain,
sum(n10,n16) = n5,
inference(cnf_transformation,[],[f451]) ).
tcf(c_318,plain,
sum(n10,n17) = n6,
inference(cnf_transformation,[],[f450]) ).
tcf(c_319,plain,
sum(n10,n18) = n7,
inference(cnf_transformation,[],[f449]) ).
tcf(c_320,plain,
sum(n10,n19) = n8,
inference(cnf_transformation,[],[f448]) ).
tcf(c_321,plain,
sum(n10,n20) = n9,
inference(cnf_transformation,[],[f447]) ).
tcf(c_322,plain,
sum(n11,n0) = n11,
inference(cnf_transformation,[],[f446]) ).
tcf(c_323,plain,
sum(n11,n1) = n12,
inference(cnf_transformation,[],[f445]) ).
tcf(c_324,plain,
sum(n11,n2) = n13,
inference(cnf_transformation,[],[f444]) ).
tcf(c_325,plain,
sum(n11,n3) = n14,
inference(cnf_transformation,[],[f443]) ).
tcf(c_326,plain,
sum(n11,n4) = n15,
inference(cnf_transformation,[],[f442]) ).
tcf(c_327,plain,
sum(n11,n5) = n16,
inference(cnf_transformation,[],[f441]) ).
tcf(c_328,plain,
sum(n11,n6) = n17,
inference(cnf_transformation,[],[f440]) ).
tcf(c_329,plain,
sum(n11,n7) = n18,
inference(cnf_transformation,[],[f439]) ).
tcf(c_330,plain,
sum(n11,n8) = n19,
inference(cnf_transformation,[],[f438]) ).
tcf(c_331,plain,
sum(n11,n9) = n20,
inference(cnf_transformation,[],[f437]) ).
tcf(c_332,plain,
sum(n11,n10) = n0,
inference(cnf_transformation,[],[f436]) ).
tcf(c_333,plain,
sum(n11,n11) = n1,
inference(cnf_transformation,[],[f435]) ).
tcf(c_334,plain,
sum(n11,n12) = n2,
inference(cnf_transformation,[],[f434]) ).
tcf(c_335,plain,
sum(n11,n13) = n3,
inference(cnf_transformation,[],[f433]) ).
tcf(c_336,plain,
sum(n11,n14) = n4,
inference(cnf_transformation,[],[f432]) ).
tcf(c_337,plain,
sum(n11,n15) = n5,
inference(cnf_transformation,[],[f431]) ).
tcf(c_338,plain,
sum(n11,n16) = n6,
inference(cnf_transformation,[],[f430]) ).
tcf(c_339,plain,
sum(n11,n17) = n7,
inference(cnf_transformation,[],[f429]) ).
tcf(c_340,plain,
sum(n11,n18) = n8,
inference(cnf_transformation,[],[f428]) ).
tcf(c_341,plain,
sum(n11,n19) = n9,
inference(cnf_transformation,[],[f427]) ).
tcf(c_342,plain,
sum(n11,n20) = n10,
inference(cnf_transformation,[],[f426]) ).
tcf(c_343,plain,
sum(n12,n0) = n12,
inference(cnf_transformation,[],[f425]) ).
tcf(c_344,plain,
sum(n12,n1) = n13,
inference(cnf_transformation,[],[f424]) ).
tcf(c_345,plain,
sum(n12,n2) = n14,
inference(cnf_transformation,[],[f423]) ).
tcf(c_346,plain,
sum(n12,n3) = n15,
inference(cnf_transformation,[],[f422]) ).
tcf(c_347,plain,
sum(n12,n4) = n16,
inference(cnf_transformation,[],[f421]) ).
tcf(c_348,plain,
sum(n12,n5) = n17,
inference(cnf_transformation,[],[f420]) ).
tcf(c_349,plain,
sum(n12,n6) = n18,
inference(cnf_transformation,[],[f419]) ).
tcf(c_350,plain,
sum(n12,n7) = n19,
inference(cnf_transformation,[],[f418]) ).
tcf(c_351,plain,
sum(n12,n8) = n20,
inference(cnf_transformation,[],[f417]) ).
tcf(c_352,plain,
sum(n12,n9) = n0,
inference(cnf_transformation,[],[f416]) ).
tcf(c_353,plain,
sum(n12,n10) = n1,
inference(cnf_transformation,[],[f415]) ).
tcf(c_354,plain,
sum(n12,n11) = n2,
inference(cnf_transformation,[],[f414]) ).
tcf(c_355,plain,
sum(n12,n12) = n3,
inference(cnf_transformation,[],[f413]) ).
tcf(c_356,plain,
sum(n12,n13) = n4,
inference(cnf_transformation,[],[f412]) ).
tcf(c_357,plain,
sum(n12,n14) = n5,
inference(cnf_transformation,[],[f411]) ).
tcf(c_358,plain,
sum(n12,n15) = n6,
inference(cnf_transformation,[],[f410]) ).
tcf(c_359,plain,
sum(n12,n16) = n7,
inference(cnf_transformation,[],[f409]) ).
tcf(c_360,plain,
sum(n12,n17) = n8,
inference(cnf_transformation,[],[f408]) ).
tcf(c_361,plain,
sum(n12,n18) = n9,
inference(cnf_transformation,[],[f407]) ).
tcf(c_362,plain,
sum(n12,n19) = n10,
inference(cnf_transformation,[],[f406]) ).
tcf(c_363,plain,
sum(n12,n20) = n11,
inference(cnf_transformation,[],[f405]) ).
tcf(c_364,plain,
sum(n13,n0) = n13,
inference(cnf_transformation,[],[f404]) ).
tcf(c_365,plain,
sum(n13,n1) = n14,
inference(cnf_transformation,[],[f403]) ).
tcf(c_366,plain,
sum(n13,n2) = n15,
inference(cnf_transformation,[],[f402]) ).
tcf(c_367,plain,
sum(n13,n3) = n16,
inference(cnf_transformation,[],[f401]) ).
tcf(c_368,plain,
sum(n13,n4) = n17,
inference(cnf_transformation,[],[f400]) ).
tcf(c_369,plain,
sum(n13,n5) = n18,
inference(cnf_transformation,[],[f399]) ).
tcf(c_370,plain,
sum(n13,n6) = n19,
inference(cnf_transformation,[],[f398]) ).
tcf(c_371,plain,
sum(n13,n7) = n20,
inference(cnf_transformation,[],[f397]) ).
tcf(c_372,plain,
sum(n13,n8) = n0,
inference(cnf_transformation,[],[f396]) ).
tcf(c_373,plain,
sum(n13,n9) = n1,
inference(cnf_transformation,[],[f395]) ).
tcf(c_374,plain,
sum(n13,n10) = n2,
inference(cnf_transformation,[],[f394]) ).
tcf(c_375,plain,
sum(n13,n11) = n3,
inference(cnf_transformation,[],[f393]) ).
tcf(c_376,plain,
sum(n13,n12) = n4,
inference(cnf_transformation,[],[f392]) ).
tcf(c_377,plain,
sum(n13,n13) = n5,
inference(cnf_transformation,[],[f391]) ).
tcf(c_378,plain,
sum(n13,n14) = n6,
inference(cnf_transformation,[],[f390]) ).
tcf(c_379,plain,
sum(n13,n15) = n7,
inference(cnf_transformation,[],[f389]) ).
tcf(c_380,plain,
sum(n13,n16) = n8,
inference(cnf_transformation,[],[f388]) ).
tcf(c_381,plain,
sum(n13,n17) = n9,
inference(cnf_transformation,[],[f387]) ).
tcf(c_382,plain,
sum(n13,n18) = n10,
inference(cnf_transformation,[],[f386]) ).
tcf(c_383,plain,
sum(n13,n19) = n11,
inference(cnf_transformation,[],[f385]) ).
tcf(c_384,plain,
sum(n13,n20) = n12,
inference(cnf_transformation,[],[f384]) ).
tcf(c_385,plain,
sum(n14,n0) = n14,
inference(cnf_transformation,[],[f383]) ).
tcf(c_386,plain,
sum(n14,n1) = n15,
inference(cnf_transformation,[],[f382]) ).
tcf(c_387,plain,
sum(n14,n2) = n16,
inference(cnf_transformation,[],[f381]) ).
tcf(c_388,plain,
sum(n14,n3) = n17,
inference(cnf_transformation,[],[f380]) ).
tcf(c_389,plain,
sum(n14,n4) = n18,
inference(cnf_transformation,[],[f379]) ).
tcf(c_390,plain,
sum(n14,n5) = n19,
inference(cnf_transformation,[],[f378]) ).
tcf(c_391,plain,
sum(n14,n6) = n20,
inference(cnf_transformation,[],[f377]) ).
tcf(c_392,plain,
sum(n14,n7) = n0,
inference(cnf_transformation,[],[f376]) ).
tcf(c_393,plain,
sum(n14,n8) = n1,
inference(cnf_transformation,[],[f375]) ).
tcf(c_394,plain,
sum(n14,n9) = n2,
inference(cnf_transformation,[],[f374]) ).
tcf(c_395,plain,
sum(n14,n10) = n3,
inference(cnf_transformation,[],[f373]) ).
tcf(c_396,plain,
sum(n14,n11) = n4,
inference(cnf_transformation,[],[f372]) ).
tcf(c_397,plain,
sum(n14,n12) = n5,
inference(cnf_transformation,[],[f371]) ).
tcf(c_398,plain,
sum(n14,n13) = n6,
inference(cnf_transformation,[],[f370]) ).
tcf(c_399,plain,
sum(n14,n14) = n7,
inference(cnf_transformation,[],[f369]) ).
tcf(c_400,plain,
sum(n14,n15) = n8,
inference(cnf_transformation,[],[f368]) ).
tcf(c_401,plain,
sum(n14,n16) = n9,
inference(cnf_transformation,[],[f367]) ).
tcf(c_402,plain,
sum(n14,n17) = n10,
inference(cnf_transformation,[],[f366]) ).
tcf(c_403,plain,
sum(n14,n18) = n11,
inference(cnf_transformation,[],[f365]) ).
tcf(c_404,plain,
sum(n14,n19) = n12,
inference(cnf_transformation,[],[f364]) ).
tcf(c_405,plain,
sum(n14,n20) = n13,
inference(cnf_transformation,[],[f363]) ).
tcf(c_406,plain,
sum(n15,n0) = n15,
inference(cnf_transformation,[],[f362]) ).
tcf(c_407,plain,
sum(n15,n1) = n16,
inference(cnf_transformation,[],[f361]) ).
tcf(c_408,plain,
sum(n15,n2) = n17,
inference(cnf_transformation,[],[f360]) ).
tcf(c_409,plain,
sum(n15,n3) = n18,
inference(cnf_transformation,[],[f359]) ).
tcf(c_410,plain,
sum(n15,n4) = n19,
inference(cnf_transformation,[],[f358]) ).
tcf(c_411,plain,
sum(n15,n5) = n20,
inference(cnf_transformation,[],[f357]) ).
tcf(c_412,plain,
sum(n15,n6) = n0,
inference(cnf_transformation,[],[f356]) ).
tcf(c_413,plain,
sum(n15,n7) = n1,
inference(cnf_transformation,[],[f355]) ).
tcf(c_414,plain,
sum(n15,n8) = n2,
inference(cnf_transformation,[],[f354]) ).
tcf(c_415,plain,
sum(n15,n9) = n3,
inference(cnf_transformation,[],[f353]) ).
tcf(c_416,plain,
sum(n15,n10) = n4,
inference(cnf_transformation,[],[f352]) ).
tcf(c_417,plain,
sum(n15,n11) = n5,
inference(cnf_transformation,[],[f351]) ).
tcf(c_418,plain,
sum(n15,n12) = n6,
inference(cnf_transformation,[],[f350]) ).
tcf(c_419,plain,
sum(n15,n13) = n7,
inference(cnf_transformation,[],[f349]) ).
tcf(c_420,plain,
sum(n15,n14) = n8,
inference(cnf_transformation,[],[f348]) ).
tcf(c_421,plain,
sum(n15,n15) = n9,
inference(cnf_transformation,[],[f347]) ).
tcf(c_422,plain,
sum(n15,n16) = n10,
inference(cnf_transformation,[],[f346]) ).
tcf(c_423,plain,
sum(n15,n17) = n11,
inference(cnf_transformation,[],[f345]) ).
tcf(c_424,plain,
sum(n15,n18) = n12,
inference(cnf_transformation,[],[f344]) ).
tcf(c_425,plain,
sum(n15,n19) = n13,
inference(cnf_transformation,[],[f343]) ).
tcf(c_426,plain,
sum(n15,n20) = n14,
inference(cnf_transformation,[],[f342]) ).
tcf(c_427,plain,
sum(n16,n0) = n16,
inference(cnf_transformation,[],[f341]) ).
tcf(c_428,plain,
sum(n16,n1) = n17,
inference(cnf_transformation,[],[f340]) ).
tcf(c_429,plain,
sum(n16,n2) = n18,
inference(cnf_transformation,[],[f339]) ).
tcf(c_430,plain,
sum(n16,n3) = n19,
inference(cnf_transformation,[],[f338]) ).
tcf(c_431,plain,
sum(n16,n4) = n20,
inference(cnf_transformation,[],[f337]) ).
tcf(c_432,plain,
sum(n16,n5) = n0,
inference(cnf_transformation,[],[f336]) ).
tcf(c_433,plain,
sum(n16,n6) = n1,
inference(cnf_transformation,[],[f335]) ).
tcf(c_434,plain,
sum(n16,n7) = n2,
inference(cnf_transformation,[],[f334]) ).
tcf(c_435,plain,
sum(n16,n8) = n3,
inference(cnf_transformation,[],[f333]) ).
tcf(c_436,plain,
sum(n16,n9) = n4,
inference(cnf_transformation,[],[f332]) ).
tcf(c_437,plain,
sum(n16,n10) = n5,
inference(cnf_transformation,[],[f331]) ).
tcf(c_438,plain,
sum(n16,n11) = n6,
inference(cnf_transformation,[],[f330]) ).
tcf(c_439,plain,
sum(n16,n12) = n7,
inference(cnf_transformation,[],[f329]) ).
tcf(c_440,plain,
sum(n16,n13) = n8,
inference(cnf_transformation,[],[f328]) ).
tcf(c_441,plain,
sum(n16,n14) = n9,
inference(cnf_transformation,[],[f327]) ).
tcf(c_442,plain,
sum(n16,n15) = n10,
inference(cnf_transformation,[],[f326]) ).
tcf(c_443,plain,
sum(n16,n16) = n11,
inference(cnf_transformation,[],[f325]) ).
tcf(c_444,plain,
sum(n16,n17) = n12,
inference(cnf_transformation,[],[f324]) ).
tcf(c_445,plain,
sum(n16,n18) = n13,
inference(cnf_transformation,[],[f323]) ).
tcf(c_446,plain,
sum(n16,n19) = n14,
inference(cnf_transformation,[],[f322]) ).
tcf(c_447,plain,
sum(n16,n20) = n15,
inference(cnf_transformation,[],[f321]) ).
tcf(c_448,plain,
sum(n17,n0) = n17,
inference(cnf_transformation,[],[f320]) ).
tcf(c_449,plain,
sum(n17,n1) = n18,
inference(cnf_transformation,[],[f319]) ).
tcf(c_450,plain,
sum(n17,n2) = n19,
inference(cnf_transformation,[],[f318]) ).
tcf(c_451,plain,
sum(n17,n3) = n20,
inference(cnf_transformation,[],[f317]) ).
tcf(c_452,plain,
sum(n17,n4) = n0,
inference(cnf_transformation,[],[f316]) ).
tcf(c_453,plain,
sum(n17,n5) = n1,
inference(cnf_transformation,[],[f315]) ).
tcf(c_454,plain,
sum(n17,n6) = n2,
inference(cnf_transformation,[],[f314]) ).
tcf(c_455,plain,
sum(n17,n7) = n3,
inference(cnf_transformation,[],[f313]) ).
tcf(c_456,plain,
sum(n17,n8) = n4,
inference(cnf_transformation,[],[f312]) ).
tcf(c_457,plain,
sum(n17,n9) = n5,
inference(cnf_transformation,[],[f311]) ).
tcf(c_458,plain,
sum(n17,n10) = n6,
inference(cnf_transformation,[],[f310]) ).
tcf(c_459,plain,
sum(n17,n11) = n7,
inference(cnf_transformation,[],[f309]) ).
tcf(c_460,plain,
sum(n17,n12) = n8,
inference(cnf_transformation,[],[f308]) ).
tcf(c_461,plain,
sum(n17,n13) = n9,
inference(cnf_transformation,[],[f307]) ).
tcf(c_462,plain,
sum(n17,n14) = n10,
inference(cnf_transformation,[],[f306]) ).
tcf(c_463,plain,
sum(n17,n15) = n11,
inference(cnf_transformation,[],[f305]) ).
tcf(c_464,plain,
sum(n17,n16) = n12,
inference(cnf_transformation,[],[f304]) ).
tcf(c_465,plain,
sum(n17,n17) = n13,
inference(cnf_transformation,[],[f303]) ).
tcf(c_466,plain,
sum(n17,n18) = n14,
inference(cnf_transformation,[],[f302]) ).
tcf(c_467,plain,
sum(n17,n19) = n15,
inference(cnf_transformation,[],[f301]) ).
tcf(c_468,plain,
sum(n17,n20) = n16,
inference(cnf_transformation,[],[f300]) ).
tcf(c_469,plain,
sum(n18,n0) = n18,
inference(cnf_transformation,[],[f299]) ).
tcf(c_470,plain,
sum(n18,n1) = n19,
inference(cnf_transformation,[],[f298]) ).
tcf(c_471,plain,
sum(n18,n2) = n20,
inference(cnf_transformation,[],[f297]) ).
tcf(c_472,plain,
sum(n18,n3) = n0,
inference(cnf_transformation,[],[f296]) ).
tcf(c_473,plain,
sum(n18,n4) = n1,
inference(cnf_transformation,[],[f295]) ).
tcf(c_474,plain,
sum(n18,n5) = n2,
inference(cnf_transformation,[],[f294]) ).
tcf(c_475,plain,
sum(n18,n6) = n3,
inference(cnf_transformation,[],[f293]) ).
tcf(c_476,plain,
sum(n18,n7) = n4,
inference(cnf_transformation,[],[f292]) ).
tcf(c_477,plain,
sum(n18,n8) = n5,
inference(cnf_transformation,[],[f291]) ).
tcf(c_478,plain,
sum(n18,n9) = n6,
inference(cnf_transformation,[],[f290]) ).
tcf(c_479,plain,
sum(n18,n10) = n7,
inference(cnf_transformation,[],[f289]) ).
tcf(c_480,plain,
sum(n18,n11) = n8,
inference(cnf_transformation,[],[f288]) ).
tcf(c_481,plain,
sum(n18,n12) = n9,
inference(cnf_transformation,[],[f287]) ).
tcf(c_482,plain,
sum(n18,n13) = n10,
inference(cnf_transformation,[],[f286]) ).
tcf(c_483,plain,
sum(n18,n14) = n11,
inference(cnf_transformation,[],[f285]) ).
tcf(c_484,plain,
sum(n18,n15) = n12,
inference(cnf_transformation,[],[f284]) ).
tcf(c_485,plain,
sum(n18,n16) = n13,
inference(cnf_transformation,[],[f283]) ).
tcf(c_486,plain,
sum(n18,n17) = n14,
inference(cnf_transformation,[],[f282]) ).
tcf(c_487,plain,
sum(n18,n18) = n15,
inference(cnf_transformation,[],[f281]) ).
tcf(c_488,plain,
sum(n18,n19) = n16,
inference(cnf_transformation,[],[f280]) ).
tcf(c_489,plain,
sum(n18,n20) = n17,
inference(cnf_transformation,[],[f279]) ).
tcf(c_490,plain,
sum(n19,n0) = n19,
inference(cnf_transformation,[],[f278]) ).
tcf(c_491,plain,
sum(n19,n1) = n20,
inference(cnf_transformation,[],[f277]) ).
tcf(c_492,plain,
sum(n19,n2) = n0,
inference(cnf_transformation,[],[f276]) ).
tcf(c_493,plain,
sum(n19,n3) = n1,
inference(cnf_transformation,[],[f275]) ).
tcf(c_494,plain,
sum(n19,n4) = n2,
inference(cnf_transformation,[],[f274]) ).
tcf(c_495,plain,
sum(n19,n5) = n3,
inference(cnf_transformation,[],[f273]) ).
tcf(c_496,plain,
sum(n19,n6) = n4,
inference(cnf_transformation,[],[f272]) ).
tcf(c_497,plain,
sum(n19,n7) = n5,
inference(cnf_transformation,[],[f271]) ).
tcf(c_498,plain,
sum(n19,n8) = n6,
inference(cnf_transformation,[],[f270]) ).
tcf(c_499,plain,
sum(n19,n9) = n7,
inference(cnf_transformation,[],[f269]) ).
tcf(c_500,plain,
sum(n19,n10) = n8,
inference(cnf_transformation,[],[f268]) ).
tcf(c_501,plain,
sum(n19,n11) = n9,
inference(cnf_transformation,[],[f267]) ).
tcf(c_502,plain,
sum(n19,n12) = n10,
inference(cnf_transformation,[],[f266]) ).
tcf(c_503,plain,
sum(n19,n13) = n11,
inference(cnf_transformation,[],[f265]) ).
tcf(c_504,plain,
sum(n19,n14) = n12,
inference(cnf_transformation,[],[f264]) ).
tcf(c_505,plain,
sum(n19,n15) = n13,
inference(cnf_transformation,[],[f263]) ).
tcf(c_506,plain,
sum(n19,n16) = n14,
inference(cnf_transformation,[],[f262]) ).
tcf(c_507,plain,
sum(n19,n17) = n15,
inference(cnf_transformation,[],[f261]) ).
tcf(c_508,plain,
sum(n19,n18) = n16,
inference(cnf_transformation,[],[f260]) ).
tcf(c_509,plain,
sum(n19,n19) = n17,
inference(cnf_transformation,[],[f259]) ).
tcf(c_510,plain,
sum(n19,n20) = n18,
inference(cnf_transformation,[],[f258]) ).
tcf(c_511,plain,
sum(n20,n0) = n20,
inference(cnf_transformation,[],[f257]) ).
tcf(c_512,plain,
sum(n20,n1) = n0,
inference(cnf_transformation,[],[f256]) ).
tcf(c_513,plain,
sum(n20,n2) = n1,
inference(cnf_transformation,[],[f255]) ).
tcf(c_514,plain,
sum(n20,n3) = n2,
inference(cnf_transformation,[],[f254]) ).
tcf(c_515,plain,
sum(n20,n4) = n3,
inference(cnf_transformation,[],[f253]) ).
tcf(c_516,plain,
sum(n20,n5) = n4,
inference(cnf_transformation,[],[f252]) ).
tcf(c_517,plain,
sum(n20,n6) = n5,
inference(cnf_transformation,[],[f251]) ).
tcf(c_518,plain,
sum(n20,n7) = n6,
inference(cnf_transformation,[],[f250]) ).
tcf(c_519,plain,
sum(n20,n8) = n7,
inference(cnf_transformation,[],[f249]) ).
tcf(c_520,plain,
sum(n20,n9) = n8,
inference(cnf_transformation,[],[f248]) ).
tcf(c_521,plain,
sum(n20,n10) = n9,
inference(cnf_transformation,[],[f247]) ).
tcf(c_522,plain,
sum(n20,n11) = n10,
inference(cnf_transformation,[],[f246]) ).
tcf(c_523,plain,
sum(n20,n12) = n11,
inference(cnf_transformation,[],[f245]) ).
tcf(c_524,plain,
sum(n20,n13) = n12,
inference(cnf_transformation,[],[f244]) ).
tcf(c_525,plain,
sum(n20,n14) = n13,
inference(cnf_transformation,[],[f243]) ).
tcf(c_526,plain,
sum(n20,n15) = n14,
inference(cnf_transformation,[],[f242]) ).
tcf(c_527,plain,
sum(n20,n16) = n15,
inference(cnf_transformation,[],[f241]) ).
tcf(c_528,plain,
sum(n20,n17) = n16,
inference(cnf_transformation,[],[f240]) ).
tcf(c_529,plain,
sum(n20,n18) = n17,
inference(cnf_transformation,[],[f239]) ).
tcf(c_530,plain,
sum(n20,n19) = n18,
inference(cnf_transformation,[],[f238]) ).
tcf(c_531,plain,
sum(n20,n20) = n19,
inference(cnf_transformation,[],[f237]) ).
tcf(c_532,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,[],[f236]) ).
tcf(c_533,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,[],[f235]) ).
tcf(c_534,plain,
sum(pred(sum(sK0,succ(sK1))),sum(sK1,pred(sum(sK0,sK1)))) = sK2,
inference(cnf_transformation,[],[f234]) ).
tcf(c_535,plain,
n0 != sK2,
inference(cnf_transformation,[],[f233]) ).
tcf(c_536,plain,
n1 != sK2,
inference(cnf_transformation,[],[f232]) ).
tcf(c_537,plain,
n2 != sK2,
inference(cnf_transformation,[],[f231]) ).
tcf(c_538,plain,
n3 != sK2,
inference(cnf_transformation,[],[f230]) ).
tcf(c_539,plain,
n4 != sK2,
inference(cnf_transformation,[],[f229]) ).
tcf(c_540,plain,
n5 != sK2,
inference(cnf_transformation,[],[f228]) ).
tcf(c_541,plain,
n6 != sK2,
inference(cnf_transformation,[],[f227]) ).
tcf(c_542,plain,
n7 != sK2,
inference(cnf_transformation,[],[f226]) ).
tcf(c_543,plain,
n8 != sK2,
inference(cnf_transformation,[],[f225]) ).
tcf(c_544,plain,
n9 != sK2,
inference(cnf_transformation,[],[f224]) ).
tcf(c_545,plain,
n10 != sK2,
inference(cnf_transformation,[],[f223]) ).
tcf(c_546,plain,
n11 != sK2,
inference(cnf_transformation,[],[f222]) ).
tcf(c_547,plain,
n12 != sK2,
inference(cnf_transformation,[],[f221]) ).
tcf(c_548,plain,
n13 != sK2,
inference(cnf_transformation,[],[f220]) ).
tcf(c_549,plain,
n14 != sK2,
inference(cnf_transformation,[],[f219]) ).
tcf(c_550,plain,
n15 != sK2,
inference(cnf_transformation,[],[f218]) ).
tcf(c_551,plain,
n16 != sK2,
inference(cnf_transformation,[],[f217]) ).
tcf(c_552,plain,
n17 != sK2,
inference(cnf_transformation,[],[f216]) ).
tcf(c_553,plain,
n18 != sK2,
inference(cnf_transformation,[],[f215]) ).
tcf(c_554,plain,
n19 != sK2,
inference(cnf_transformation,[],[f214]) ).
tcf(c_555,plain,
n20 != sK2,
inference(cnf_transformation,[],[f213]) ).
tcf(c_3893,plain,
$false,
inference(smt_impl_just,[status(thm)],[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,c_258,c_257,c_256,c_255,c_254,c_253,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_240,c_239,c_238,c_237,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_229,c_228,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_218,c_217,c_216,c_215,c_214,c_213,c_212,c_211,c_210,c_209,c_208,c_207,c_206,c_205,c_204,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_161,c_160,c_159,c_158,c_157,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_139,c_138,c_137,c_136,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_102,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_92,c_91,c_90,c_89,c_88,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM375+1.020 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Thu Sep 24 03:45:21 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.05/0.33 Running first-order theorem proving
% 0.05/0.33 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34
% 0.08/0.34 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.34
% 0.08/0.34 % Detected problem language: tptp
% 0.08/0.35 % Proving...
% 2.76/1.08 % SZS status Started for theBenchmark.p
% 2.76/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 2.76/1.08
% 2.76/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.76/1.08
% 2.76/1.08 % ------ iProver source info
% 2.76/1.08
% 2.76/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 2.76/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.76/1.08 % git: non_committed_changes: false
% 2.76/1.08
% 2.76/1.08 % ------ Parsing...
% 2.76/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.76/1.08
% 2.76/1.08 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.76/1.08
% 2.76/1.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.76/1.08
% 2.76/1.08 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.76/1.08 % ------ Proving...
% 2.76/1.08 % ------ Problem Properties
% 2.76/1.08
% 2.76/1.08 %
% 2.76/1.08 % clauses 717
% 2.76/1.08 % conjectures 0
% 2.76/1.08 % EPR 233
% 2.76/1.08 % Horn 715
% 2.76/1.08 % unary 715
% 2.76/1.08 % binary 0
% 2.76/1.08 % lits 757
% 2.76/1.08 % lits eq 757
% 2.76/1.08 % fd_pure 0
% 2.76/1.08 % fd_pseudo 0
% 2.76/1.08 % fd_cond 0
% 2.76/1.08 % fd_pseudo_cond 0
% 2.76/1.08 % AC symbols 0
% 2.76/1.08
% 2.76/1.08 % ------ Schedule dynamic 5 is on
% 2.76/1.08
% 2.76/1.08 % ------ no conjectures: strip conj schedule
% 2.76/1.08
% 2.76/1.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.76/1.08
% 2.76/1.08
% 2.76/1.08 % ------
% 2.76/1.08 % Current options:
% 2.76/1.08 % ------
% 2.76/1.08
% 2.76/1.08
% 2.76/1.08 %
% 2.76/1.08
% 2.76/1.08 % ------ Proving...
% 2.76/1.08 %
% 2.76/1.08
% 2.76/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 2.76/1.08
% 2.76/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.76/1.09
% 2.76/1.09
%------------------------------------------------------------------------------