%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM378+1.015.010 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 02:24:02 PM UTC 2026
% Result : Unsatisfiable 7.51s 1.81s
% Output : CNFRefutation 7.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 729 ( 721 unt; 0 def)
% Number of atoms : 1801 (1800 equ)
% Maximal formula atoms : 504 ( 2 avg)
% Number of connectives : 1352 ( 280 ~; 132 |; 940 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 534 ( 3 avg)
% Maximal term depth : 17 ( 4 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 : 81 ( 81 usr; 78 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 0 !; 62 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61] :
( n14 != n15
& n13 != n15
& n13 != n14
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& 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 != 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 != 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 != 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
& ( X20 != X21
| X18 != X19
| X16 != X17
| X14 != X15 )
& X21 = sum(pred(X60),sum(succ(X58),sum(pred(X61),succ(X59))))
& X20 = sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18)))
& X19 = sum(pred(X56),sum(succ(X54),sum(pred(X57),succ(X55))))
& X18 = sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16)))
& X17 = sum(pred(X52),sum(succ(X50),sum(pred(X53),succ(X51))))
& X16 = sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14)))
& X15 = sum(pred(X48),sum(succ(X46),sum(pred(X49),succ(X47))))
& X14 = sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12)))
& X13 = sum(pred(X44),sum(succ(X42),sum(pred(X45),succ(X43))))
& X12 = sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10)))
& X11 = sum(pred(X40),sum(succ(X38),sum(pred(X41),succ(X39))))
& X10 = sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8)))
& X9 = sum(pred(X36),sum(succ(X34),sum(pred(X37),succ(X35))))
& X8 = sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6)))
& X7 = sum(pred(X32),sum(succ(X30),sum(pred(X33),succ(X31))))
& X6 = sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4)))
& X5 = sum(pred(X28),sum(succ(X26),sum(pred(X29),succ(X27))))
& X4 = sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2)))
& X3 = sum(pred(X24),sum(succ(X22),sum(pred(X25),succ(X23))))
& X2 = sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0)))
& X61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X19))))))))))))))))
& X59 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X19))))))))))))))))
& X60 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18))))))))))))))))
& X58 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18))))))))))))))))
& X57 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17))))))))))))))))
& X55 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17))))))))))))))))
& X56 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16))))))))))))))))
& X54 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16))))))))))))))))
& X53 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15))))))))))))))))
& X51 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15))))))))))))))))
& X52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14))))))))))))))))
& X50 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14))))))))))))))))
& X49 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13))))))))))))))))
& X47 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13))))))))))))))))
& X48 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12))))))))))))))))
& X46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12))))))))))))))))
& X45 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11))))))))))))))))
& X43 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11))))))))))))))))
& X44 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10))))))))))))))))
& X42 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10))))))))))))))))
& X41 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9))))))))))))))))
& X39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9))))))))))))))))
& X40 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8))))))))))))))))
& X38 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8))))))))))))))))
& X37 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7))))))))))))))))
& X35 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7))))))))))))))))
& X36 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6))))))))))))))))
& X34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6))))))))))))))))
& X33 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5))))))))))))))))
& X31 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5))))))))))))))))
& X32 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4))))))))))))))))
& X30 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4))))))))))))))))
& X29 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3))))))))))))))))
& X27 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3))))))))))))))))
& X28 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2))))))))))))))))
& X26 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2))))))))))))))))
& X25 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1))))))))))))))))
& X23 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1))))))))))))))))
& X24 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0))))))))))))))))
& X22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X0))))))))))))))))
& ( 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 = 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(n15,n15) = n14
& sum(n15,n14) = n13
& sum(n15,n13) = n12
& sum(n15,n12) = n11
& sum(n15,n11) = n10
& sum(n15,n10) = n9
& sum(n15,n9) = n8
& sum(n15,n8) = n7
& sum(n15,n7) = n6
& sum(n15,n6) = n5
& sum(n15,n5) = n4
& sum(n15,n4) = n3
& sum(n15,n3) = n2
& sum(n15,n2) = n1
& sum(n15,n1) = n0
& sum(n15,n0) = n15
& sum(n14,n15) = n13
& sum(n14,n14) = n12
& sum(n14,n13) = n11
& sum(n14,n12) = n10
& sum(n14,n11) = n9
& sum(n14,n10) = n8
& sum(n14,n9) = n7
& sum(n14,n8) = n6
& sum(n14,n7) = n5
& sum(n14,n6) = n4
& sum(n14,n5) = n3
& sum(n14,n4) = n2
& sum(n14,n3) = n1
& sum(n14,n2) = n0
& sum(n14,n1) = n15
& sum(n14,n0) = n14
& sum(n13,n15) = n12
& sum(n13,n14) = n11
& sum(n13,n13) = n10
& sum(n13,n12) = n9
& sum(n13,n11) = n8
& sum(n13,n10) = n7
& sum(n13,n9) = n6
& sum(n13,n8) = n5
& sum(n13,n7) = n4
& sum(n13,n6) = n3
& sum(n13,n5) = n2
& sum(n13,n4) = n1
& sum(n13,n3) = n0
& sum(n13,n2) = n15
& sum(n13,n1) = n14
& sum(n13,n0) = n13
& sum(n12,n15) = n11
& sum(n12,n14) = n10
& sum(n12,n13) = n9
& sum(n12,n12) = n8
& sum(n12,n11) = n7
& sum(n12,n10) = n6
& sum(n12,n9) = n5
& sum(n12,n8) = n4
& sum(n12,n7) = n3
& sum(n12,n6) = n2
& sum(n12,n5) = n1
& sum(n12,n4) = n0
& sum(n12,n3) = n15
& sum(n12,n2) = n14
& sum(n12,n1) = n13
& sum(n12,n0) = n12
& sum(n11,n15) = n10
& sum(n11,n14) = n9
& sum(n11,n13) = n8
& sum(n11,n12) = n7
& sum(n11,n11) = n6
& sum(n11,n10) = n5
& sum(n11,n9) = n4
& sum(n11,n8) = n3
& sum(n11,n7) = n2
& sum(n11,n6) = n1
& sum(n11,n5) = n0
& sum(n11,n4) = n15
& sum(n11,n3) = n14
& sum(n11,n2) = n13
& sum(n11,n1) = n12
& sum(n11,n0) = n11
& sum(n10,n15) = n9
& sum(n10,n14) = n8
& sum(n10,n13) = n7
& sum(n10,n12) = n6
& sum(n10,n11) = n5
& sum(n10,n10) = n4
& sum(n10,n9) = n3
& sum(n10,n8) = n2
& sum(n10,n7) = n1
& sum(n10,n6) = n0
& 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,n15) = n8
& sum(n9,n14) = n7
& sum(n9,n13) = n6
& sum(n9,n12) = n5
& sum(n9,n11) = n4
& sum(n9,n10) = n3
& sum(n9,n9) = n2
& sum(n9,n8) = n1
& sum(n9,n7) = n0
& 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,n15) = n7
& sum(n8,n14) = n6
& sum(n8,n13) = n5
& sum(n8,n12) = n4
& sum(n8,n11) = n3
& sum(n8,n10) = n2
& sum(n8,n9) = n1
& sum(n8,n8) = n0
& 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,n15) = n6
& sum(n7,n14) = n5
& sum(n7,n13) = n4
& sum(n7,n12) = n3
& sum(n7,n11) = n2
& sum(n7,n10) = n1
& sum(n7,n9) = n0
& 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,n15) = n5
& sum(n6,n14) = n4
& sum(n6,n13) = n3
& sum(n6,n12) = n2
& sum(n6,n11) = n1
& sum(n6,n10) = n0
& 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,n15) = n4
& sum(n5,n14) = n3
& sum(n5,n13) = n2
& sum(n5,n12) = n1
& sum(n5,n11) = n0
& 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,n15) = n3
& sum(n4,n14) = n2
& sum(n4,n13) = n1
& sum(n4,n12) = n0
& 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,n15) = n2
& sum(n3,n14) = n1
& sum(n3,n13) = n0
& 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,n15) = n1
& sum(n2,n14) = n0
& 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,n15) = n0
& 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,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(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) = n15
& succ(n15) = n0
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f2,plain,
( n14 != n15
& n13 != n15
& n13 != n14
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& 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 != 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 != 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 != 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
& ( sK20 != sK21
| sK18 != sK19
| sK16 != sK17
| sK14 != sK15 )
& sK21 = sum(pred(sK60),sum(succ(sK58),sum(pred(sK61),succ(sK59))))
& sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18)))
& sK19 = sum(pred(sK56),sum(succ(sK54),sum(pred(sK57),succ(sK55))))
& sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16)))
& sK17 = sum(pred(sK52),sum(succ(sK50),sum(pred(sK53),succ(sK51))))
& sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14)))
& sK15 = sum(pred(sK48),sum(succ(sK46),sum(pred(sK49),succ(sK47))))
& sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12)))
& sK13 = sum(pred(sK44),sum(succ(sK42),sum(pred(sK45),succ(sK43))))
& sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10)))
& sK11 = sum(pred(sK40),sum(succ(sK38),sum(pred(sK41),succ(sK39))))
& sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8)))
& sK9 = sum(pred(sK36),sum(succ(sK34),sum(pred(sK37),succ(sK35))))
& sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6)))
& sK7 = sum(pred(sK32),sum(succ(sK30),sum(pred(sK33),succ(sK31))))
& sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4)))
& sK5 = sum(pred(sK28),sum(succ(sK26),sum(pred(sK29),succ(sK27))))
& sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2)))
& sK3 = sum(pred(sK24),sum(succ(sK22),sum(pred(sK25),succ(sK23))))
& sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))
& sK61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19))))))))))))))))
& sK59 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19))))))))))))))))
& sK60 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))))))))
& sK58 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))))))))
& sK57 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17))))))))))))))))
& sK55 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17))))))))))))))))
& sK56 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16))))))))))))))))
& sK54 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16))))))))))))))))
& sK53 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15))))))))))))))))
& sK51 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15))))))))))))))))
& sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))))))))
& sK50 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))))))))
& sK49 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13))))))))))))))))
& sK47 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))))))))
& sK48 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12))))))))))))))))
& sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12))))))))))))))))
& sK45 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11))))))))))))))))
& sK43 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11))))))))))))))))
& sK44 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10))))))))))))))))
& sK42 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10))))))))))))))))
& sK41 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9))))))))))))))))
& sK39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9))))))))))))))))
& sK40 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))))))))
& sK38 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))))))))
& sK37 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7))))))))))))))))
& sK35 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7))))))))))))))))
& sK36 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6))))))))))))))))
& sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))))))))
& sK33 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5))))))))))))))))
& sK31 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5))))))))))))))))
& sK32 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4))))))))))))))))
& sK30 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4))))))))))))))))
& sK29 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3))))))))))))))))
& sK27 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))))))))
& sK28 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2))))))))))))))))
& sK26 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2))))))))))))))))
& sK25 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))))))))
& sK23 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))))))))
& sK24 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0))))))))))))))))
& sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0))))))))))))))))
& ( 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 )
& ( 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(n15,n15) = n14
& sum(n15,n14) = n13
& sum(n15,n13) = n12
& sum(n15,n12) = n11
& sum(n15,n11) = n10
& sum(n15,n10) = n9
& sum(n15,n9) = n8
& sum(n15,n8) = n7
& sum(n15,n7) = n6
& sum(n15,n6) = n5
& sum(n15,n5) = n4
& sum(n15,n4) = n3
& sum(n15,n3) = n2
& sum(n15,n2) = n1
& sum(n15,n1) = n0
& sum(n15,n0) = n15
& sum(n14,n15) = n13
& sum(n14,n14) = n12
& sum(n14,n13) = n11
& sum(n14,n12) = n10
& sum(n14,n11) = n9
& sum(n14,n10) = n8
& sum(n14,n9) = n7
& sum(n14,n8) = n6
& sum(n14,n7) = n5
& sum(n14,n6) = n4
& sum(n14,n5) = n3
& sum(n14,n4) = n2
& sum(n14,n3) = n1
& sum(n14,n2) = n0
& sum(n14,n1) = n15
& sum(n14,n0) = n14
& sum(n13,n15) = n12
& sum(n13,n14) = n11
& sum(n13,n13) = n10
& sum(n13,n12) = n9
& sum(n13,n11) = n8
& sum(n13,n10) = n7
& sum(n13,n9) = n6
& sum(n13,n8) = n5
& sum(n13,n7) = n4
& sum(n13,n6) = n3
& sum(n13,n5) = n2
& sum(n13,n4) = n1
& sum(n13,n3) = n0
& sum(n13,n2) = n15
& sum(n13,n1) = n14
& sum(n13,n0) = n13
& sum(n12,n15) = n11
& sum(n12,n14) = n10
& sum(n12,n13) = n9
& sum(n12,n12) = n8
& sum(n12,n11) = n7
& sum(n12,n10) = n6
& sum(n12,n9) = n5
& sum(n12,n8) = n4
& sum(n12,n7) = n3
& sum(n12,n6) = n2
& sum(n12,n5) = n1
& sum(n12,n4) = n0
& sum(n12,n3) = n15
& sum(n12,n2) = n14
& sum(n12,n1) = n13
& sum(n12,n0) = n12
& sum(n11,n15) = n10
& sum(n11,n14) = n9
& sum(n11,n13) = n8
& sum(n11,n12) = n7
& sum(n11,n11) = n6
& sum(n11,n10) = n5
& sum(n11,n9) = n4
& sum(n11,n8) = n3
& sum(n11,n7) = n2
& sum(n11,n6) = n1
& sum(n11,n5) = n0
& sum(n11,n4) = n15
& sum(n11,n3) = n14
& sum(n11,n2) = n13
& sum(n11,n1) = n12
& sum(n11,n0) = n11
& sum(n10,n15) = n9
& sum(n10,n14) = n8
& sum(n10,n13) = n7
& sum(n10,n12) = n6
& sum(n10,n11) = n5
& sum(n10,n10) = n4
& sum(n10,n9) = n3
& sum(n10,n8) = n2
& sum(n10,n7) = n1
& sum(n10,n6) = n0
& 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,n15) = n8
& sum(n9,n14) = n7
& sum(n9,n13) = n6
& sum(n9,n12) = n5
& sum(n9,n11) = n4
& sum(n9,n10) = n3
& sum(n9,n9) = n2
& sum(n9,n8) = n1
& sum(n9,n7) = n0
& 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,n15) = n7
& sum(n8,n14) = n6
& sum(n8,n13) = n5
& sum(n8,n12) = n4
& sum(n8,n11) = n3
& sum(n8,n10) = n2
& sum(n8,n9) = n1
& sum(n8,n8) = n0
& 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,n15) = n6
& sum(n7,n14) = n5
& sum(n7,n13) = n4
& sum(n7,n12) = n3
& sum(n7,n11) = n2
& sum(n7,n10) = n1
& sum(n7,n9) = n0
& 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,n15) = n5
& sum(n6,n14) = n4
& sum(n6,n13) = n3
& sum(n6,n12) = n2
& sum(n6,n11) = n1
& sum(n6,n10) = n0
& 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,n15) = n4
& sum(n5,n14) = n3
& sum(n5,n13) = n2
& sum(n5,n12) = n1
& sum(n5,n11) = n0
& 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,n15) = n3
& sum(n4,n14) = n2
& sum(n4,n13) = n1
& sum(n4,n12) = n0
& 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,n15) = n2
& sum(n3,n14) = n1
& sum(n3,n13) = n0
& 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,n15) = n1
& sum(n2,n14) = n0
& 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,n15) = n0
& 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,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(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) = n15
& succ(n15) = n0
& 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,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11),skolemize(X12,sK12),skolemize(X13,sK13),skolemize(X14,sK14),skolemize(X15,sK15),skolemize(X16,sK16),skolemize(X17,sK17),skolemize(X18,sK18),skolemize(X19,sK19),skolemize(X20,sK20),skolemize(X21,sK21),skolemize(X22,sK22),skolemize(X23,sK23),skolemize(X24,sK24),skolemize(X25,sK25),skolemize(X26,sK26),skolemize(X27,sK27),skolemize(X28,sK28),skolemize(X29,sK29),skolemize(X30,sK30),skolemize(X31,sK31),skolemize(X32,sK32),skolemize(X33,sK33),skolemize(X34,sK34),skolemize(X35,sK35),skolemize(X36,sK36),skolemize(X37,sK37),skolemize(X38,sK38),skolemize(X39,sK39),skolemize(X40,sK40),skolemize(X41,sK41),skolemize(X42,sK42),skolemize(X43,sK43),skolemize(X44,sK44),skolemize(X45,sK45),skolemize(X46,sK46),skolemize(X47,sK47),skolemize(X48,sK48),skolemize(X49,sK49),skolemize(X50,sK50),skolemize(X51,sK51),skolemize(X52,sK52),skolemize(X53,sK53),skolemize(X54,sK54),skolemize(X55,sK55),skolemize(X56,sK56),skolemize(X57,sK57),skolemize(X58,sK58),skolemize(X59,sK59),skolemize(X60,sK60),skolemize(X61,sK61)],[f1]) ).
fof(f3,plain,
n14 != n15,
inference(cnf_transformation,[],[f2]) ).
fof(f10,plain,
n11 != n14,
inference(cnf_transformation,[],[f2]) ).
fof(f48,plain,
n5 != n15,
inference(cnf_transformation,[],[f2]) ).
fof(f49,plain,
n5 != n14,
inference(cnf_transformation,[],[f2]) ).
fof(f52,plain,
n5 != n11,
inference(cnf_transformation,[],[f2]) ).
fof(f53,plain,
n5 != n10,
inference(cnf_transformation,[],[f2]) ).
fof(f54,plain,
n5 != n9,
inference(cnf_transformation,[],[f2]) ).
fof(f61,plain,
n4 != n12,
inference(cnf_transformation,[],[f2]) ).
fof(f69,plain,
n3 != n15,
inference(cnf_transformation,[],[f2]) ).
fof(f73,plain,
n3 != n11,
inference(cnf_transformation,[],[f2]) ).
fof(f79,plain,
n3 != n5,
inference(cnf_transformation,[],[f2]) ).
fof(f120,plain,
n0 != n3,
inference(cnf_transformation,[],[f2]) ).
fof(f123,plain,
( sK20 != sK21
| sK18 != sK19
| sK16 != sK17
| sK14 != sK15 ),
inference(cnf_transformation,[],[f2]) ).
fof(f124,plain,
sK21 = sum(pred(sK60),sum(succ(sK58),sum(pred(sK61),succ(sK59)))),
inference(cnf_transformation,[],[f2]) ).
fof(f125,plain,
sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))),
inference(cnf_transformation,[],[f2]) ).
fof(f126,plain,
sK19 = sum(pred(sK56),sum(succ(sK54),sum(pred(sK57),succ(sK55)))),
inference(cnf_transformation,[],[f2]) ).
fof(f127,plain,
sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))),
inference(cnf_transformation,[],[f2]) ).
fof(f128,plain,
sK17 = sum(pred(sK52),sum(succ(sK50),sum(pred(sK53),succ(sK51)))),
inference(cnf_transformation,[],[f2]) ).
fof(f129,plain,
sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))),
inference(cnf_transformation,[],[f2]) ).
fof(f130,plain,
sK15 = sum(pred(sK48),sum(succ(sK46),sum(pred(sK49),succ(sK47)))),
inference(cnf_transformation,[],[f2]) ).
fof(f131,plain,
sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))),
inference(cnf_transformation,[],[f2]) ).
fof(f132,plain,
sK13 = sum(pred(sK44),sum(succ(sK42),sum(pred(sK45),succ(sK43)))),
inference(cnf_transformation,[],[f2]) ).
fof(f133,plain,
sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))),
inference(cnf_transformation,[],[f2]) ).
fof(f134,plain,
sK11 = sum(pred(sK40),sum(succ(sK38),sum(pred(sK41),succ(sK39)))),
inference(cnf_transformation,[],[f2]) ).
fof(f135,plain,
sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))),
inference(cnf_transformation,[],[f2]) ).
fof(f136,plain,
sK9 = sum(pred(sK36),sum(succ(sK34),sum(pred(sK37),succ(sK35)))),
inference(cnf_transformation,[],[f2]) ).
fof(f137,plain,
sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))),
inference(cnf_transformation,[],[f2]) ).
fof(f138,plain,
sK7 = sum(pred(sK32),sum(succ(sK30),sum(pred(sK33),succ(sK31)))),
inference(cnf_transformation,[],[f2]) ).
fof(f139,plain,
sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))),
inference(cnf_transformation,[],[f2]) ).
fof(f140,plain,
sK5 = sum(pred(sK28),sum(succ(sK26),sum(pred(sK29),succ(sK27)))),
inference(cnf_transformation,[],[f2]) ).
fof(f141,plain,
sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))),
inference(cnf_transformation,[],[f2]) ).
fof(f142,plain,
sK3 = sum(pred(sK24),sum(succ(sK22),sum(pred(sK25),succ(sK23)))),
inference(cnf_transformation,[],[f2]) ).
fof(f143,plain,
sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))),
inference(cnf_transformation,[],[f2]) ).
fof(f144,plain,
sK61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f145,plain,
sK59 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f146,plain,
sK60 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f147,plain,
sK58 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f148,plain,
sK57 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f149,plain,
sK55 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f150,plain,
sK56 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f151,plain,
sK54 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f152,plain,
sK53 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f153,plain,
sK51 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f154,plain,
sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f155,plain,
sK50 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f156,plain,
sK49 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f157,plain,
sK47 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f158,plain,
sK48 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f159,plain,
sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f160,plain,
sK45 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f161,plain,
sK43 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f162,plain,
sK44 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f163,plain,
sK42 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f164,plain,
sK41 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f165,plain,
sK39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f166,plain,
sK40 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f167,plain,
sK38 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f168,plain,
sK37 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f169,plain,
sK35 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f170,plain,
sK36 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f171,plain,
sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f172,plain,
sK33 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f173,plain,
sK31 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f174,plain,
sK32 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f175,plain,
sK30 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f176,plain,
sK29 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f177,plain,
sK27 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f178,plain,
sK28 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f179,plain,
sK26 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f180,plain,
sK25 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f181,plain,
sK23 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f182,plain,
sK24 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f183,plain,
sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0)))))))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f184,plain,
( 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(f185,plain,
( 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(f186,plain,
n14 = sum(n15,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f187,plain,
n13 = sum(n15,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f188,plain,
n12 = sum(n15,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f189,plain,
n11 = sum(n15,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f190,plain,
n10 = sum(n15,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f191,plain,
n9 = sum(n15,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f192,plain,
n8 = sum(n15,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f193,plain,
n7 = sum(n15,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f194,plain,
n6 = sum(n15,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f195,plain,
n5 = sum(n15,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f196,plain,
n4 = sum(n15,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f197,plain,
n3 = sum(n15,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f198,plain,
n2 = sum(n15,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f199,plain,
n1 = sum(n15,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f200,plain,
n0 = sum(n15,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f201,plain,
n15 = sum(n15,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f202,plain,
n13 = sum(n14,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f203,plain,
n12 = sum(n14,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f204,plain,
n11 = sum(n14,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f205,plain,
n10 = sum(n14,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f206,plain,
n9 = sum(n14,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f207,plain,
n8 = sum(n14,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f208,plain,
n7 = sum(n14,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f209,plain,
n6 = sum(n14,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f210,plain,
n5 = sum(n14,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f211,plain,
n4 = sum(n14,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f212,plain,
n3 = sum(n14,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f213,plain,
n2 = sum(n14,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f214,plain,
n1 = sum(n14,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f215,plain,
n0 = sum(n14,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f216,plain,
n15 = sum(n14,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f217,plain,
n14 = sum(n14,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f218,plain,
n12 = sum(n13,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f219,plain,
n11 = sum(n13,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f220,plain,
n10 = sum(n13,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f221,plain,
n9 = sum(n13,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f222,plain,
n8 = sum(n13,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f223,plain,
n7 = sum(n13,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f224,plain,
n6 = sum(n13,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f225,plain,
n5 = sum(n13,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f226,plain,
n4 = sum(n13,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f227,plain,
n3 = sum(n13,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f228,plain,
n2 = sum(n13,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f229,plain,
n1 = sum(n13,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f230,plain,
n0 = sum(n13,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f231,plain,
n15 = sum(n13,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f232,plain,
n14 = sum(n13,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f233,plain,
n13 = sum(n13,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f234,plain,
n11 = sum(n12,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f235,plain,
n10 = sum(n12,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f236,plain,
n9 = sum(n12,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f237,plain,
n8 = sum(n12,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f238,plain,
n7 = sum(n12,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f239,plain,
n6 = sum(n12,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f240,plain,
n5 = sum(n12,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f241,plain,
n4 = sum(n12,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f242,plain,
n3 = sum(n12,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f243,plain,
n2 = sum(n12,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f244,plain,
n1 = sum(n12,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f245,plain,
n0 = sum(n12,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f246,plain,
n15 = sum(n12,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f247,plain,
n14 = sum(n12,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f248,plain,
n13 = sum(n12,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f249,plain,
n12 = sum(n12,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f250,plain,
n10 = sum(n11,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f251,plain,
n9 = sum(n11,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f252,plain,
n8 = sum(n11,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f253,plain,
n7 = sum(n11,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f254,plain,
n6 = sum(n11,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f255,plain,
n5 = sum(n11,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f256,plain,
n4 = sum(n11,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f257,plain,
n3 = sum(n11,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f258,plain,
n2 = sum(n11,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f259,plain,
n1 = sum(n11,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f260,plain,
n0 = sum(n11,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f261,plain,
n15 = sum(n11,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f262,plain,
n14 = sum(n11,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f263,plain,
n13 = sum(n11,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f264,plain,
n12 = sum(n11,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f265,plain,
n11 = sum(n11,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f266,plain,
n9 = sum(n10,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f267,plain,
n8 = sum(n10,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f268,plain,
n7 = sum(n10,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f269,plain,
n6 = sum(n10,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f270,plain,
n5 = sum(n10,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f271,plain,
n4 = sum(n10,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f272,plain,
n3 = sum(n10,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f273,plain,
n2 = sum(n10,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f274,plain,
n1 = sum(n10,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f275,plain,
n0 = sum(n10,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f276,plain,
n15 = sum(n10,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f277,plain,
n14 = sum(n10,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f278,plain,
n13 = sum(n10,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f279,plain,
n12 = sum(n10,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f280,plain,
n11 = sum(n10,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f281,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f282,plain,
n8 = sum(n9,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f283,plain,
n7 = sum(n9,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f284,plain,
n6 = sum(n9,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f285,plain,
n5 = sum(n9,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f286,plain,
n4 = sum(n9,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f287,plain,
n3 = sum(n9,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f288,plain,
n2 = sum(n9,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f289,plain,
n1 = sum(n9,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f290,plain,
n0 = sum(n9,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f291,plain,
n15 = sum(n9,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f292,plain,
n14 = sum(n9,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f293,plain,
n13 = sum(n9,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f294,plain,
n12 = sum(n9,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f295,plain,
n11 = sum(n9,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f296,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f297,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f298,plain,
n7 = sum(n8,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f299,plain,
n6 = sum(n8,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f300,plain,
n5 = sum(n8,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f301,plain,
n4 = sum(n8,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f302,plain,
n3 = sum(n8,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f303,plain,
n2 = sum(n8,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f304,plain,
n1 = sum(n8,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f305,plain,
n0 = sum(n8,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f306,plain,
n15 = sum(n8,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f307,plain,
n14 = sum(n8,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f308,plain,
n13 = sum(n8,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f309,plain,
n12 = sum(n8,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f310,plain,
n11 = sum(n8,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f311,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f312,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f313,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f314,plain,
n6 = sum(n7,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f315,plain,
n5 = sum(n7,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f316,plain,
n4 = sum(n7,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f317,plain,
n3 = sum(n7,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f318,plain,
n2 = sum(n7,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f319,plain,
n1 = sum(n7,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f320,plain,
n0 = sum(n7,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f321,plain,
n15 = sum(n7,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f322,plain,
n14 = sum(n7,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f323,plain,
n13 = sum(n7,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f324,plain,
n12 = sum(n7,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f325,plain,
n11 = sum(n7,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f326,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f327,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f328,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f329,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f330,plain,
n5 = sum(n6,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f331,plain,
n4 = sum(n6,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f332,plain,
n3 = sum(n6,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f333,plain,
n2 = sum(n6,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f334,plain,
n1 = sum(n6,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f335,plain,
n0 = sum(n6,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f336,plain,
n15 = sum(n6,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f337,plain,
n14 = sum(n6,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f338,plain,
n13 = sum(n6,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f339,plain,
n12 = sum(n6,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f340,plain,
n11 = sum(n6,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f341,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f342,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f343,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f344,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f345,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f346,plain,
n4 = sum(n5,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f347,plain,
n3 = sum(n5,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f348,plain,
n2 = sum(n5,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f349,plain,
n1 = sum(n5,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f350,plain,
n0 = sum(n5,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f351,plain,
n15 = sum(n5,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f352,plain,
n14 = sum(n5,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f353,plain,
n13 = sum(n5,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f354,plain,
n12 = sum(n5,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f355,plain,
n11 = sum(n5,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f356,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f357,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f358,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f359,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f360,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f361,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f362,plain,
n3 = sum(n4,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f363,plain,
n2 = sum(n4,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f364,plain,
n1 = sum(n4,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f365,plain,
n0 = sum(n4,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f366,plain,
n15 = sum(n4,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f367,plain,
n14 = sum(n4,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f368,plain,
n13 = sum(n4,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f369,plain,
n12 = sum(n4,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f370,plain,
n11 = sum(n4,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f371,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f372,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f373,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f374,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f375,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f376,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f377,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f378,plain,
n2 = sum(n3,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f379,plain,
n1 = sum(n3,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f380,plain,
n0 = sum(n3,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f381,plain,
n15 = sum(n3,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f382,plain,
n14 = sum(n3,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f383,plain,
n13 = sum(n3,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f384,plain,
n12 = sum(n3,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f385,plain,
n11 = sum(n3,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f386,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f387,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f388,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f389,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f390,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f391,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f392,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f393,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f394,plain,
n1 = sum(n2,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f395,plain,
n0 = sum(n2,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f396,plain,
n15 = sum(n2,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f397,plain,
n14 = sum(n2,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f398,plain,
n13 = sum(n2,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f399,plain,
n12 = sum(n2,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f400,plain,
n11 = sum(n2,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f401,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f402,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f403,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f404,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f405,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f406,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f407,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f408,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f409,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f410,plain,
n0 = sum(n1,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f411,plain,
n15 = sum(n1,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f412,plain,
n14 = sum(n1,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f413,plain,
n13 = sum(n1,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f414,plain,
n12 = sum(n1,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f415,plain,
n11 = sum(n1,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f416,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f417,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f418,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f419,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f420,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f421,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f422,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f423,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f424,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f425,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f426,plain,
n15 = sum(n0,n15),
inference(cnf_transformation,[],[f2]) ).
fof(f427,plain,
n14 = sum(n0,n14),
inference(cnf_transformation,[],[f2]) ).
fof(f428,plain,
n13 = sum(n0,n13),
inference(cnf_transformation,[],[f2]) ).
fof(f429,plain,
n12 = sum(n0,n12),
inference(cnf_transformation,[],[f2]) ).
fof(f430,plain,
n11 = sum(n0,n11),
inference(cnf_transformation,[],[f2]) ).
fof(f431,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f432,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f433,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f434,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f435,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f436,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f437,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f438,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f439,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f440,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f441,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f442,plain,
n14 = pred(n15),
inference(cnf_transformation,[],[f2]) ).
fof(f443,plain,
n13 = pred(n14),
inference(cnf_transformation,[],[f2]) ).
fof(f444,plain,
n12 = pred(n13),
inference(cnf_transformation,[],[f2]) ).
fof(f445,plain,
n11 = pred(n12),
inference(cnf_transformation,[],[f2]) ).
fof(f446,plain,
n10 = pred(n11),
inference(cnf_transformation,[],[f2]) ).
fof(f447,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f2]) ).
fof(f448,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f2]) ).
fof(f449,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f2]) ).
fof(f450,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f2]) ).
fof(f451,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f2]) ).
fof(f452,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f2]) ).
fof(f453,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f2]) ).
fof(f454,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f2]) ).
fof(f455,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f2]) ).
fof(f456,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f2]) ).
fof(f457,plain,
n15 = pred(n0),
inference(cnf_transformation,[],[f2]) ).
fof(f458,plain,
n0 = succ(n15),
inference(cnf_transformation,[],[f2]) ).
fof(f459,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f2]) ).
fof(f460,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f2]) ).
fof(f461,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f2]) ).
fof(f462,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f2]) ).
fof(f463,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f2]) ).
fof(f464,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f2]) ).
fof(f465,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f2]) ).
fof(f466,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f2]) ).
fof(f467,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f2]) ).
fof(f468,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f2]) ).
fof(f469,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f2]) ).
fof(f470,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f2]) ).
fof(f471,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f2]) ).
fof(f472,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f2]) ).
fof(f473,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_49,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f473]) ).
tcf(c_50,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f472]) ).
tcf(c_51,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f471]) ).
tcf(c_52,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f470]) ).
tcf(c_53,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f469]) ).
tcf(c_54,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f468]) ).
tcf(c_55,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f467]) ).
tcf(c_56,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f466]) ).
tcf(c_57,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f465]) ).
tcf(c_58,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f464]) ).
tcf(c_59,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f463]) ).
tcf(c_60,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f462]) ).
tcf(c_61,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f461]) ).
tcf(c_62,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f460]) ).
tcf(c_63,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f459]) ).
tcf(c_64,plain,
succ(n15) = n0,
inference(cnf_transformation,[],[f458]) ).
tcf(c_65,plain,
pred(n0) = n15,
inference(cnf_transformation,[],[f457]) ).
tcf(c_66,plain,
pred(n1) = n0,
inference(cnf_transformation,[],[f456]) ).
tcf(c_67,plain,
pred(n2) = n1,
inference(cnf_transformation,[],[f455]) ).
tcf(c_68,plain,
pred(n3) = n2,
inference(cnf_transformation,[],[f454]) ).
tcf(c_69,plain,
pred(n4) = n3,
inference(cnf_transformation,[],[f453]) ).
tcf(c_70,plain,
pred(n5) = n4,
inference(cnf_transformation,[],[f452]) ).
tcf(c_71,plain,
pred(n6) = n5,
inference(cnf_transformation,[],[f451]) ).
tcf(c_72,plain,
pred(n7) = n6,
inference(cnf_transformation,[],[f450]) ).
tcf(c_73,plain,
pred(n8) = n7,
inference(cnf_transformation,[],[f449]) ).
tcf(c_74,plain,
pred(n9) = n8,
inference(cnf_transformation,[],[f448]) ).
tcf(c_75,plain,
pred(n10) = n9,
inference(cnf_transformation,[],[f447]) ).
tcf(c_76,plain,
pred(n11) = n10,
inference(cnf_transformation,[],[f446]) ).
tcf(c_77,plain,
pred(n12) = n11,
inference(cnf_transformation,[],[f445]) ).
tcf(c_78,plain,
pred(n13) = n12,
inference(cnf_transformation,[],[f444]) ).
tcf(c_79,plain,
pred(n14) = n13,
inference(cnf_transformation,[],[f443]) ).
tcf(c_80,plain,
pred(n15) = n14,
inference(cnf_transformation,[],[f442]) ).
tcf(c_81,plain,
sum(n0,n0) = n0,
inference(cnf_transformation,[],[f441]) ).
tcf(c_82,plain,
sum(n0,n1) = n1,
inference(cnf_transformation,[],[f440]) ).
tcf(c_83,plain,
sum(n0,n2) = n2,
inference(cnf_transformation,[],[f439]) ).
tcf(c_84,plain,
sum(n0,n3) = n3,
inference(cnf_transformation,[],[f438]) ).
tcf(c_85,plain,
sum(n0,n4) = n4,
inference(cnf_transformation,[],[f437]) ).
tcf(c_86,plain,
sum(n0,n5) = n5,
inference(cnf_transformation,[],[f436]) ).
tcf(c_87,plain,
sum(n0,n6) = n6,
inference(cnf_transformation,[],[f435]) ).
tcf(c_88,plain,
sum(n0,n7) = n7,
inference(cnf_transformation,[],[f434]) ).
tcf(c_89,plain,
sum(n0,n8) = n8,
inference(cnf_transformation,[],[f433]) ).
tcf(c_90,plain,
sum(n0,n9) = n9,
inference(cnf_transformation,[],[f432]) ).
tcf(c_91,plain,
sum(n0,n10) = n10,
inference(cnf_transformation,[],[f431]) ).
tcf(c_92,plain,
sum(n0,n11) = n11,
inference(cnf_transformation,[],[f430]) ).
tcf(c_93,plain,
sum(n0,n12) = n12,
inference(cnf_transformation,[],[f429]) ).
tcf(c_94,plain,
sum(n0,n13) = n13,
inference(cnf_transformation,[],[f428]) ).
tcf(c_95,plain,
sum(n0,n14) = n14,
inference(cnf_transformation,[],[f427]) ).
tcf(c_96,plain,
sum(n0,n15) = n15,
inference(cnf_transformation,[],[f426]) ).
tcf(c_97,plain,
sum(n1,n0) = n1,
inference(cnf_transformation,[],[f425]) ).
tcf(c_98,plain,
sum(n1,n1) = n2,
inference(cnf_transformation,[],[f424]) ).
tcf(c_99,plain,
sum(n1,n2) = n3,
inference(cnf_transformation,[],[f423]) ).
tcf(c_100,plain,
sum(n1,n3) = n4,
inference(cnf_transformation,[],[f422]) ).
tcf(c_101,plain,
sum(n1,n4) = n5,
inference(cnf_transformation,[],[f421]) ).
tcf(c_102,plain,
sum(n1,n5) = n6,
inference(cnf_transformation,[],[f420]) ).
tcf(c_103,plain,
sum(n1,n6) = n7,
inference(cnf_transformation,[],[f419]) ).
tcf(c_104,plain,
sum(n1,n7) = n8,
inference(cnf_transformation,[],[f418]) ).
tcf(c_105,plain,
sum(n1,n8) = n9,
inference(cnf_transformation,[],[f417]) ).
tcf(c_106,plain,
sum(n1,n9) = n10,
inference(cnf_transformation,[],[f416]) ).
tcf(c_107,plain,
sum(n1,n10) = n11,
inference(cnf_transformation,[],[f415]) ).
tcf(c_108,plain,
sum(n1,n11) = n12,
inference(cnf_transformation,[],[f414]) ).
tcf(c_109,plain,
sum(n1,n12) = n13,
inference(cnf_transformation,[],[f413]) ).
tcf(c_110,plain,
sum(n1,n13) = n14,
inference(cnf_transformation,[],[f412]) ).
tcf(c_111,plain,
sum(n1,n14) = n15,
inference(cnf_transformation,[],[f411]) ).
tcf(c_112,plain,
sum(n1,n15) = n0,
inference(cnf_transformation,[],[f410]) ).
tcf(c_113,plain,
sum(n2,n0) = n2,
inference(cnf_transformation,[],[f409]) ).
tcf(c_114,plain,
sum(n2,n1) = n3,
inference(cnf_transformation,[],[f408]) ).
tcf(c_115,plain,
sum(n2,n2) = n4,
inference(cnf_transformation,[],[f407]) ).
tcf(c_116,plain,
sum(n2,n3) = n5,
inference(cnf_transformation,[],[f406]) ).
tcf(c_117,plain,
sum(n2,n4) = n6,
inference(cnf_transformation,[],[f405]) ).
tcf(c_118,plain,
sum(n2,n5) = n7,
inference(cnf_transformation,[],[f404]) ).
tcf(c_119,plain,
sum(n2,n6) = n8,
inference(cnf_transformation,[],[f403]) ).
tcf(c_120,plain,
sum(n2,n7) = n9,
inference(cnf_transformation,[],[f402]) ).
tcf(c_121,plain,
sum(n2,n8) = n10,
inference(cnf_transformation,[],[f401]) ).
tcf(c_122,plain,
sum(n2,n9) = n11,
inference(cnf_transformation,[],[f400]) ).
tcf(c_123,plain,
sum(n2,n10) = n12,
inference(cnf_transformation,[],[f399]) ).
tcf(c_124,plain,
sum(n2,n11) = n13,
inference(cnf_transformation,[],[f398]) ).
tcf(c_125,plain,
sum(n2,n12) = n14,
inference(cnf_transformation,[],[f397]) ).
tcf(c_126,plain,
sum(n2,n13) = n15,
inference(cnf_transformation,[],[f396]) ).
tcf(c_127,plain,
sum(n2,n14) = n0,
inference(cnf_transformation,[],[f395]) ).
tcf(c_128,plain,
sum(n2,n15) = n1,
inference(cnf_transformation,[],[f394]) ).
tcf(c_129,plain,
sum(n3,n0) = n3,
inference(cnf_transformation,[],[f393]) ).
tcf(c_130,plain,
sum(n3,n1) = n4,
inference(cnf_transformation,[],[f392]) ).
tcf(c_131,plain,
sum(n3,n2) = n5,
inference(cnf_transformation,[],[f391]) ).
tcf(c_132,plain,
sum(n3,n3) = n6,
inference(cnf_transformation,[],[f390]) ).
tcf(c_133,plain,
sum(n3,n4) = n7,
inference(cnf_transformation,[],[f389]) ).
tcf(c_134,plain,
sum(n3,n5) = n8,
inference(cnf_transformation,[],[f388]) ).
tcf(c_135,plain,
sum(n3,n6) = n9,
inference(cnf_transformation,[],[f387]) ).
tcf(c_136,plain,
sum(n3,n7) = n10,
inference(cnf_transformation,[],[f386]) ).
tcf(c_137,plain,
sum(n3,n8) = n11,
inference(cnf_transformation,[],[f385]) ).
tcf(c_138,plain,
sum(n3,n9) = n12,
inference(cnf_transformation,[],[f384]) ).
tcf(c_139,plain,
sum(n3,n10) = n13,
inference(cnf_transformation,[],[f383]) ).
tcf(c_140,plain,
sum(n3,n11) = n14,
inference(cnf_transformation,[],[f382]) ).
tcf(c_141,plain,
sum(n3,n12) = n15,
inference(cnf_transformation,[],[f381]) ).
tcf(c_142,plain,
sum(n3,n13) = n0,
inference(cnf_transformation,[],[f380]) ).
tcf(c_143,plain,
sum(n3,n14) = n1,
inference(cnf_transformation,[],[f379]) ).
tcf(c_144,plain,
sum(n3,n15) = n2,
inference(cnf_transformation,[],[f378]) ).
tcf(c_145,plain,
sum(n4,n0) = n4,
inference(cnf_transformation,[],[f377]) ).
tcf(c_146,plain,
sum(n4,n1) = n5,
inference(cnf_transformation,[],[f376]) ).
tcf(c_147,plain,
sum(n4,n2) = n6,
inference(cnf_transformation,[],[f375]) ).
tcf(c_148,plain,
sum(n4,n3) = n7,
inference(cnf_transformation,[],[f374]) ).
tcf(c_149,plain,
sum(n4,n4) = n8,
inference(cnf_transformation,[],[f373]) ).
tcf(c_150,plain,
sum(n4,n5) = n9,
inference(cnf_transformation,[],[f372]) ).
tcf(c_151,plain,
sum(n4,n6) = n10,
inference(cnf_transformation,[],[f371]) ).
tcf(c_152,plain,
sum(n4,n7) = n11,
inference(cnf_transformation,[],[f370]) ).
tcf(c_153,plain,
sum(n4,n8) = n12,
inference(cnf_transformation,[],[f369]) ).
tcf(c_154,plain,
sum(n4,n9) = n13,
inference(cnf_transformation,[],[f368]) ).
tcf(c_155,plain,
sum(n4,n10) = n14,
inference(cnf_transformation,[],[f367]) ).
tcf(c_156,plain,
sum(n4,n11) = n15,
inference(cnf_transformation,[],[f366]) ).
tcf(c_157,plain,
sum(n4,n12) = n0,
inference(cnf_transformation,[],[f365]) ).
tcf(c_158,plain,
sum(n4,n13) = n1,
inference(cnf_transformation,[],[f364]) ).
tcf(c_159,plain,
sum(n4,n14) = n2,
inference(cnf_transformation,[],[f363]) ).
tcf(c_160,plain,
sum(n4,n15) = n3,
inference(cnf_transformation,[],[f362]) ).
tcf(c_161,plain,
sum(n5,n0) = n5,
inference(cnf_transformation,[],[f361]) ).
tcf(c_162,plain,
sum(n5,n1) = n6,
inference(cnf_transformation,[],[f360]) ).
tcf(c_163,plain,
sum(n5,n2) = n7,
inference(cnf_transformation,[],[f359]) ).
tcf(c_164,plain,
sum(n5,n3) = n8,
inference(cnf_transformation,[],[f358]) ).
tcf(c_165,plain,
sum(n5,n4) = n9,
inference(cnf_transformation,[],[f357]) ).
tcf(c_166,plain,
sum(n5,n5) = n10,
inference(cnf_transformation,[],[f356]) ).
tcf(c_167,plain,
sum(n5,n6) = n11,
inference(cnf_transformation,[],[f355]) ).
tcf(c_168,plain,
sum(n5,n7) = n12,
inference(cnf_transformation,[],[f354]) ).
tcf(c_169,plain,
sum(n5,n8) = n13,
inference(cnf_transformation,[],[f353]) ).
tcf(c_170,plain,
sum(n5,n9) = n14,
inference(cnf_transformation,[],[f352]) ).
tcf(c_171,plain,
sum(n5,n10) = n15,
inference(cnf_transformation,[],[f351]) ).
tcf(c_172,plain,
sum(n5,n11) = n0,
inference(cnf_transformation,[],[f350]) ).
tcf(c_173,plain,
sum(n5,n12) = n1,
inference(cnf_transformation,[],[f349]) ).
tcf(c_174,plain,
sum(n5,n13) = n2,
inference(cnf_transformation,[],[f348]) ).
tcf(c_175,plain,
sum(n5,n14) = n3,
inference(cnf_transformation,[],[f347]) ).
tcf(c_176,plain,
sum(n5,n15) = n4,
inference(cnf_transformation,[],[f346]) ).
tcf(c_177,plain,
sum(n6,n0) = n6,
inference(cnf_transformation,[],[f345]) ).
tcf(c_178,plain,
sum(n6,n1) = n7,
inference(cnf_transformation,[],[f344]) ).
tcf(c_179,plain,
sum(n6,n2) = n8,
inference(cnf_transformation,[],[f343]) ).
tcf(c_180,plain,
sum(n6,n3) = n9,
inference(cnf_transformation,[],[f342]) ).
tcf(c_181,plain,
sum(n6,n4) = n10,
inference(cnf_transformation,[],[f341]) ).
tcf(c_182,plain,
sum(n6,n5) = n11,
inference(cnf_transformation,[],[f340]) ).
tcf(c_183,plain,
sum(n6,n6) = n12,
inference(cnf_transformation,[],[f339]) ).
tcf(c_184,plain,
sum(n6,n7) = n13,
inference(cnf_transformation,[],[f338]) ).
tcf(c_185,plain,
sum(n6,n8) = n14,
inference(cnf_transformation,[],[f337]) ).
tcf(c_186,plain,
sum(n6,n9) = n15,
inference(cnf_transformation,[],[f336]) ).
tcf(c_187,plain,
sum(n6,n10) = n0,
inference(cnf_transformation,[],[f335]) ).
tcf(c_188,plain,
sum(n6,n11) = n1,
inference(cnf_transformation,[],[f334]) ).
tcf(c_189,plain,
sum(n6,n12) = n2,
inference(cnf_transformation,[],[f333]) ).
tcf(c_190,plain,
sum(n6,n13) = n3,
inference(cnf_transformation,[],[f332]) ).
tcf(c_191,plain,
sum(n6,n14) = n4,
inference(cnf_transformation,[],[f331]) ).
tcf(c_192,plain,
sum(n6,n15) = n5,
inference(cnf_transformation,[],[f330]) ).
tcf(c_193,plain,
sum(n7,n0) = n7,
inference(cnf_transformation,[],[f329]) ).
tcf(c_194,plain,
sum(n7,n1) = n8,
inference(cnf_transformation,[],[f328]) ).
tcf(c_195,plain,
sum(n7,n2) = n9,
inference(cnf_transformation,[],[f327]) ).
tcf(c_196,plain,
sum(n7,n3) = n10,
inference(cnf_transformation,[],[f326]) ).
tcf(c_197,plain,
sum(n7,n4) = n11,
inference(cnf_transformation,[],[f325]) ).
tcf(c_198,plain,
sum(n7,n5) = n12,
inference(cnf_transformation,[],[f324]) ).
tcf(c_199,plain,
sum(n7,n6) = n13,
inference(cnf_transformation,[],[f323]) ).
tcf(c_200,plain,
sum(n7,n7) = n14,
inference(cnf_transformation,[],[f322]) ).
tcf(c_201,plain,
sum(n7,n8) = n15,
inference(cnf_transformation,[],[f321]) ).
tcf(c_202,plain,
sum(n7,n9) = n0,
inference(cnf_transformation,[],[f320]) ).
tcf(c_203,plain,
sum(n7,n10) = n1,
inference(cnf_transformation,[],[f319]) ).
tcf(c_204,plain,
sum(n7,n11) = n2,
inference(cnf_transformation,[],[f318]) ).
tcf(c_205,plain,
sum(n7,n12) = n3,
inference(cnf_transformation,[],[f317]) ).
tcf(c_206,plain,
sum(n7,n13) = n4,
inference(cnf_transformation,[],[f316]) ).
tcf(c_207,plain,
sum(n7,n14) = n5,
inference(cnf_transformation,[],[f315]) ).
tcf(c_208,plain,
sum(n7,n15) = n6,
inference(cnf_transformation,[],[f314]) ).
tcf(c_209,plain,
sum(n8,n0) = n8,
inference(cnf_transformation,[],[f313]) ).
tcf(c_210,plain,
sum(n8,n1) = n9,
inference(cnf_transformation,[],[f312]) ).
tcf(c_211,plain,
sum(n8,n2) = n10,
inference(cnf_transformation,[],[f311]) ).
tcf(c_212,plain,
sum(n8,n3) = n11,
inference(cnf_transformation,[],[f310]) ).
tcf(c_213,plain,
sum(n8,n4) = n12,
inference(cnf_transformation,[],[f309]) ).
tcf(c_214,plain,
sum(n8,n5) = n13,
inference(cnf_transformation,[],[f308]) ).
tcf(c_215,plain,
sum(n8,n6) = n14,
inference(cnf_transformation,[],[f307]) ).
tcf(c_216,plain,
sum(n8,n7) = n15,
inference(cnf_transformation,[],[f306]) ).
tcf(c_217,plain,
sum(n8,n8) = n0,
inference(cnf_transformation,[],[f305]) ).
tcf(c_218,plain,
sum(n8,n9) = n1,
inference(cnf_transformation,[],[f304]) ).
tcf(c_219,plain,
sum(n8,n10) = n2,
inference(cnf_transformation,[],[f303]) ).
tcf(c_220,plain,
sum(n8,n11) = n3,
inference(cnf_transformation,[],[f302]) ).
tcf(c_221,plain,
sum(n8,n12) = n4,
inference(cnf_transformation,[],[f301]) ).
tcf(c_222,plain,
sum(n8,n13) = n5,
inference(cnf_transformation,[],[f300]) ).
tcf(c_223,plain,
sum(n8,n14) = n6,
inference(cnf_transformation,[],[f299]) ).
tcf(c_224,plain,
sum(n8,n15) = n7,
inference(cnf_transformation,[],[f298]) ).
tcf(c_225,plain,
sum(n9,n0) = n9,
inference(cnf_transformation,[],[f297]) ).
tcf(c_226,plain,
sum(n9,n1) = n10,
inference(cnf_transformation,[],[f296]) ).
tcf(c_227,plain,
sum(n9,n2) = n11,
inference(cnf_transformation,[],[f295]) ).
tcf(c_228,plain,
sum(n9,n3) = n12,
inference(cnf_transformation,[],[f294]) ).
tcf(c_229,plain,
sum(n9,n4) = n13,
inference(cnf_transformation,[],[f293]) ).
tcf(c_230,plain,
sum(n9,n5) = n14,
inference(cnf_transformation,[],[f292]) ).
tcf(c_231,plain,
sum(n9,n6) = n15,
inference(cnf_transformation,[],[f291]) ).
tcf(c_232,plain,
sum(n9,n7) = n0,
inference(cnf_transformation,[],[f290]) ).
tcf(c_233,plain,
sum(n9,n8) = n1,
inference(cnf_transformation,[],[f289]) ).
tcf(c_234,plain,
sum(n9,n9) = n2,
inference(cnf_transformation,[],[f288]) ).
tcf(c_235,plain,
sum(n9,n10) = n3,
inference(cnf_transformation,[],[f287]) ).
tcf(c_236,plain,
sum(n9,n11) = n4,
inference(cnf_transformation,[],[f286]) ).
tcf(c_237,plain,
sum(n9,n12) = n5,
inference(cnf_transformation,[],[f285]) ).
tcf(c_238,plain,
sum(n9,n13) = n6,
inference(cnf_transformation,[],[f284]) ).
tcf(c_239,plain,
sum(n9,n14) = n7,
inference(cnf_transformation,[],[f283]) ).
tcf(c_240,plain,
sum(n9,n15) = n8,
inference(cnf_transformation,[],[f282]) ).
tcf(c_241,plain,
sum(n10,n0) = n10,
inference(cnf_transformation,[],[f281]) ).
tcf(c_242,plain,
sum(n10,n1) = n11,
inference(cnf_transformation,[],[f280]) ).
tcf(c_243,plain,
sum(n10,n2) = n12,
inference(cnf_transformation,[],[f279]) ).
tcf(c_244,plain,
sum(n10,n3) = n13,
inference(cnf_transformation,[],[f278]) ).
tcf(c_245,plain,
sum(n10,n4) = n14,
inference(cnf_transformation,[],[f277]) ).
tcf(c_246,plain,
sum(n10,n5) = n15,
inference(cnf_transformation,[],[f276]) ).
tcf(c_247,plain,
sum(n10,n6) = n0,
inference(cnf_transformation,[],[f275]) ).
tcf(c_248,plain,
sum(n10,n7) = n1,
inference(cnf_transformation,[],[f274]) ).
tcf(c_249,plain,
sum(n10,n8) = n2,
inference(cnf_transformation,[],[f273]) ).
tcf(c_250,plain,
sum(n10,n9) = n3,
inference(cnf_transformation,[],[f272]) ).
tcf(c_251,plain,
sum(n10,n10) = n4,
inference(cnf_transformation,[],[f271]) ).
tcf(c_252,plain,
sum(n10,n11) = n5,
inference(cnf_transformation,[],[f270]) ).
tcf(c_253,plain,
sum(n10,n12) = n6,
inference(cnf_transformation,[],[f269]) ).
tcf(c_254,plain,
sum(n10,n13) = n7,
inference(cnf_transformation,[],[f268]) ).
tcf(c_255,plain,
sum(n10,n14) = n8,
inference(cnf_transformation,[],[f267]) ).
tcf(c_256,plain,
sum(n10,n15) = n9,
inference(cnf_transformation,[],[f266]) ).
tcf(c_257,plain,
sum(n11,n0) = n11,
inference(cnf_transformation,[],[f265]) ).
tcf(c_258,plain,
sum(n11,n1) = n12,
inference(cnf_transformation,[],[f264]) ).
tcf(c_259,plain,
sum(n11,n2) = n13,
inference(cnf_transformation,[],[f263]) ).
tcf(c_260,plain,
sum(n11,n3) = n14,
inference(cnf_transformation,[],[f262]) ).
tcf(c_261,plain,
sum(n11,n4) = n15,
inference(cnf_transformation,[],[f261]) ).
tcf(c_262,plain,
sum(n11,n5) = n0,
inference(cnf_transformation,[],[f260]) ).
tcf(c_263,plain,
sum(n11,n6) = n1,
inference(cnf_transformation,[],[f259]) ).
tcf(c_264,plain,
sum(n11,n7) = n2,
inference(cnf_transformation,[],[f258]) ).
tcf(c_265,plain,
sum(n11,n8) = n3,
inference(cnf_transformation,[],[f257]) ).
tcf(c_266,plain,
sum(n11,n9) = n4,
inference(cnf_transformation,[],[f256]) ).
tcf(c_267,plain,
sum(n11,n10) = n5,
inference(cnf_transformation,[],[f255]) ).
tcf(c_268,plain,
sum(n11,n11) = n6,
inference(cnf_transformation,[],[f254]) ).
tcf(c_269,plain,
sum(n11,n12) = n7,
inference(cnf_transformation,[],[f253]) ).
tcf(c_270,plain,
sum(n11,n13) = n8,
inference(cnf_transformation,[],[f252]) ).
tcf(c_271,plain,
sum(n11,n14) = n9,
inference(cnf_transformation,[],[f251]) ).
tcf(c_272,plain,
sum(n11,n15) = n10,
inference(cnf_transformation,[],[f250]) ).
tcf(c_273,plain,
sum(n12,n0) = n12,
inference(cnf_transformation,[],[f249]) ).
tcf(c_274,plain,
sum(n12,n1) = n13,
inference(cnf_transformation,[],[f248]) ).
tcf(c_275,plain,
sum(n12,n2) = n14,
inference(cnf_transformation,[],[f247]) ).
tcf(c_276,plain,
sum(n12,n3) = n15,
inference(cnf_transformation,[],[f246]) ).
tcf(c_277,plain,
sum(n12,n4) = n0,
inference(cnf_transformation,[],[f245]) ).
tcf(c_278,plain,
sum(n12,n5) = n1,
inference(cnf_transformation,[],[f244]) ).
tcf(c_279,plain,
sum(n12,n6) = n2,
inference(cnf_transformation,[],[f243]) ).
tcf(c_280,plain,
sum(n12,n7) = n3,
inference(cnf_transformation,[],[f242]) ).
tcf(c_281,plain,
sum(n12,n8) = n4,
inference(cnf_transformation,[],[f241]) ).
tcf(c_282,plain,
sum(n12,n9) = n5,
inference(cnf_transformation,[],[f240]) ).
tcf(c_283,plain,
sum(n12,n10) = n6,
inference(cnf_transformation,[],[f239]) ).
tcf(c_284,plain,
sum(n12,n11) = n7,
inference(cnf_transformation,[],[f238]) ).
tcf(c_285,plain,
sum(n12,n12) = n8,
inference(cnf_transformation,[],[f237]) ).
tcf(c_286,plain,
sum(n12,n13) = n9,
inference(cnf_transformation,[],[f236]) ).
tcf(c_287,plain,
sum(n12,n14) = n10,
inference(cnf_transformation,[],[f235]) ).
tcf(c_288,plain,
sum(n12,n15) = n11,
inference(cnf_transformation,[],[f234]) ).
tcf(c_289,plain,
sum(n13,n0) = n13,
inference(cnf_transformation,[],[f233]) ).
tcf(c_290,plain,
sum(n13,n1) = n14,
inference(cnf_transformation,[],[f232]) ).
tcf(c_291,plain,
sum(n13,n2) = n15,
inference(cnf_transformation,[],[f231]) ).
tcf(c_292,plain,
sum(n13,n3) = n0,
inference(cnf_transformation,[],[f230]) ).
tcf(c_293,plain,
sum(n13,n4) = n1,
inference(cnf_transformation,[],[f229]) ).
tcf(c_294,plain,
sum(n13,n5) = n2,
inference(cnf_transformation,[],[f228]) ).
tcf(c_295,plain,
sum(n13,n6) = n3,
inference(cnf_transformation,[],[f227]) ).
tcf(c_296,plain,
sum(n13,n7) = n4,
inference(cnf_transformation,[],[f226]) ).
tcf(c_297,plain,
sum(n13,n8) = n5,
inference(cnf_transformation,[],[f225]) ).
tcf(c_298,plain,
sum(n13,n9) = n6,
inference(cnf_transformation,[],[f224]) ).
tcf(c_299,plain,
sum(n13,n10) = n7,
inference(cnf_transformation,[],[f223]) ).
tcf(c_300,plain,
sum(n13,n11) = n8,
inference(cnf_transformation,[],[f222]) ).
tcf(c_301,plain,
sum(n13,n12) = n9,
inference(cnf_transformation,[],[f221]) ).
tcf(c_302,plain,
sum(n13,n13) = n10,
inference(cnf_transformation,[],[f220]) ).
tcf(c_303,plain,
sum(n13,n14) = n11,
inference(cnf_transformation,[],[f219]) ).
tcf(c_304,plain,
sum(n13,n15) = n12,
inference(cnf_transformation,[],[f218]) ).
tcf(c_305,plain,
sum(n14,n0) = n14,
inference(cnf_transformation,[],[f217]) ).
tcf(c_306,plain,
sum(n14,n1) = n15,
inference(cnf_transformation,[],[f216]) ).
tcf(c_307,plain,
sum(n14,n2) = n0,
inference(cnf_transformation,[],[f215]) ).
tcf(c_308,plain,
sum(n14,n3) = n1,
inference(cnf_transformation,[],[f214]) ).
tcf(c_309,plain,
sum(n14,n4) = n2,
inference(cnf_transformation,[],[f213]) ).
tcf(c_310,plain,
sum(n14,n5) = n3,
inference(cnf_transformation,[],[f212]) ).
tcf(c_311,plain,
sum(n14,n6) = n4,
inference(cnf_transformation,[],[f211]) ).
tcf(c_312,plain,
sum(n14,n7) = n5,
inference(cnf_transformation,[],[f210]) ).
tcf(c_313,plain,
sum(n14,n8) = n6,
inference(cnf_transformation,[],[f209]) ).
tcf(c_314,plain,
sum(n14,n9) = n7,
inference(cnf_transformation,[],[f208]) ).
tcf(c_315,plain,
sum(n14,n10) = n8,
inference(cnf_transformation,[],[f207]) ).
tcf(c_316,plain,
sum(n14,n11) = n9,
inference(cnf_transformation,[],[f206]) ).
tcf(c_317,plain,
sum(n14,n12) = n10,
inference(cnf_transformation,[],[f205]) ).
tcf(c_318,plain,
sum(n14,n13) = n11,
inference(cnf_transformation,[],[f204]) ).
tcf(c_319,plain,
sum(n14,n14) = n12,
inference(cnf_transformation,[],[f203]) ).
tcf(c_320,plain,
sum(n14,n15) = n13,
inference(cnf_transformation,[],[f202]) ).
tcf(c_321,plain,
sum(n15,n0) = n15,
inference(cnf_transformation,[],[f201]) ).
tcf(c_322,plain,
sum(n15,n1) = n0,
inference(cnf_transformation,[],[f200]) ).
tcf(c_323,plain,
sum(n15,n2) = n1,
inference(cnf_transformation,[],[f199]) ).
tcf(c_324,plain,
sum(n15,n3) = n2,
inference(cnf_transformation,[],[f198]) ).
tcf(c_325,plain,
sum(n15,n4) = n3,
inference(cnf_transformation,[],[f197]) ).
tcf(c_326,plain,
sum(n15,n5) = n4,
inference(cnf_transformation,[],[f196]) ).
tcf(c_327,plain,
sum(n15,n6) = n5,
inference(cnf_transformation,[],[f195]) ).
tcf(c_328,plain,
sum(n15,n7) = n6,
inference(cnf_transformation,[],[f194]) ).
tcf(c_329,plain,
sum(n15,n8) = n7,
inference(cnf_transformation,[],[f193]) ).
tcf(c_330,plain,
sum(n15,n9) = n8,
inference(cnf_transformation,[],[f192]) ).
tcf(c_331,plain,
sum(n15,n10) = n9,
inference(cnf_transformation,[],[f191]) ).
tcf(c_332,plain,
sum(n15,n11) = n10,
inference(cnf_transformation,[],[f190]) ).
tcf(c_333,plain,
sum(n15,n12) = n11,
inference(cnf_transformation,[],[f189]) ).
tcf(c_334,plain,
sum(n15,n13) = n12,
inference(cnf_transformation,[],[f188]) ).
tcf(c_335,plain,
sum(n15,n14) = n13,
inference(cnf_transformation,[],[f187]) ).
tcf(c_336,plain,
sum(n15,n15) = n14,
inference(cnf_transformation,[],[f186]) ).
tcf(c_337,plain,
( ( 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,[],[f185]) ).
tcf(c_338,plain,
( ( 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,[],[f184]) ).
tcf(c_339,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0)))))))))))))))) = sK22,
inference(cnf_transformation,[],[f183]) ).
tcf(c_340,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0)))))))))))))))) = sK24,
inference(cnf_transformation,[],[f182]) ).
tcf(c_341,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1)))))))))))))))) = sK23,
inference(cnf_transformation,[],[f181]) ).
tcf(c_342,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1)))))))))))))))) = sK25,
inference(cnf_transformation,[],[f180]) ).
tcf(c_343,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2)))))))))))))))) = sK26,
inference(cnf_transformation,[],[f179]) ).
tcf(c_344,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2)))))))))))))))) = sK28,
inference(cnf_transformation,[],[f178]) ).
tcf(c_345,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3)))))))))))))))) = sK27,
inference(cnf_transformation,[],[f177]) ).
tcf(c_346,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3)))))))))))))))) = sK29,
inference(cnf_transformation,[],[f176]) ).
tcf(c_347,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4)))))))))))))))) = sK30,
inference(cnf_transformation,[],[f175]) ).
tcf(c_348,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4)))))))))))))))) = sK32,
inference(cnf_transformation,[],[f174]) ).
tcf(c_349,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5)))))))))))))))) = sK31,
inference(cnf_transformation,[],[f173]) ).
tcf(c_350,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5)))))))))))))))) = sK33,
inference(cnf_transformation,[],[f172]) ).
tcf(c_351,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6)))))))))))))))) = sK34,
inference(cnf_transformation,[],[f171]) ).
tcf(c_352,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))))))) = sK36,
inference(cnf_transformation,[],[f170]) ).
tcf(c_353,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7)))))))))))))))) = sK35,
inference(cnf_transformation,[],[f169]) ).
tcf(c_354,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7)))))))))))))))) = sK37,
inference(cnf_transformation,[],[f168]) ).
tcf(c_355,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8)))))))))))))))) = sK38,
inference(cnf_transformation,[],[f167]) ).
tcf(c_356,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8)))))))))))))))) = sK40,
inference(cnf_transformation,[],[f166]) ).
tcf(c_357,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9)))))))))))))))) = sK39,
inference(cnf_transformation,[],[f165]) ).
tcf(c_358,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9)))))))))))))))) = sK41,
inference(cnf_transformation,[],[f164]) ).
tcf(c_359,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10)))))))))))))))) = sK42,
inference(cnf_transformation,[],[f163]) ).
tcf(c_360,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10)))))))))))))))) = sK44,
inference(cnf_transformation,[],[f162]) ).
tcf(c_361,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11)))))))))))))))) = sK43,
inference(cnf_transformation,[],[f161]) ).
tcf(c_362,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11)))))))))))))))) = sK45,
inference(cnf_transformation,[],[f160]) ).
tcf(c_363,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12)))))))))))))))) = sK46,
inference(cnf_transformation,[],[f159]) ).
tcf(c_364,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12)))))))))))))))) = sK48,
inference(cnf_transformation,[],[f158]) ).
tcf(c_365,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13)))))))))))))))) = sK47,
inference(cnf_transformation,[],[f157]) ).
tcf(c_366,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))))))) = sK49,
inference(cnf_transformation,[],[f156]) ).
tcf(c_367,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14)))))))))))))))) = sK50,
inference(cnf_transformation,[],[f155]) ).
tcf(c_368,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14)))))))))))))))) = sK52,
inference(cnf_transformation,[],[f154]) ).
tcf(c_369,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))))))) = sK51,
inference(cnf_transformation,[],[f153]) ).
tcf(c_370,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))))))) = sK53,
inference(cnf_transformation,[],[f152]) ).
tcf(c_371,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))))))) = sK54,
inference(cnf_transformation,[],[f151]) ).
tcf(c_372,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))))))) = sK56,
inference(cnf_transformation,[],[f150]) ).
tcf(c_373,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17)))))))))))))))) = sK55,
inference(cnf_transformation,[],[f149]) ).
tcf(c_374,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17)))))))))))))))) = sK57,
inference(cnf_transformation,[],[f148]) ).
tcf(c_375,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18)))))))))))))))) = sK58,
inference(cnf_transformation,[],[f147]) ).
tcf(c_376,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18)))))))))))))))) = sK60,
inference(cnf_transformation,[],[f146]) ).
tcf(c_377,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19)))))))))))))))) = sK59,
inference(cnf_transformation,[],[f145]) ).
tcf(c_378,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19)))))))))))))))) = sK61,
inference(cnf_transformation,[],[f144]) ).
tcf(c_379,plain,
sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) = sK2,
inference(cnf_transformation,[],[f143]) ).
tcf(c_380,plain,
sum(pred(sK24),sum(succ(sK22),sum(pred(sK25),succ(sK23)))) = sK3,
inference(cnf_transformation,[],[f142]) ).
tcf(c_381,plain,
sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))) = sK4,
inference(cnf_transformation,[],[f141]) ).
tcf(c_382,plain,
sum(pred(sK28),sum(succ(sK26),sum(pred(sK29),succ(sK27)))) = sK5,
inference(cnf_transformation,[],[f140]) ).
tcf(c_383,plain,
sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))) = sK6,
inference(cnf_transformation,[],[f139]) ).
tcf(c_384,plain,
sum(pred(sK32),sum(succ(sK30),sum(pred(sK33),succ(sK31)))) = sK7,
inference(cnf_transformation,[],[f138]) ).
tcf(c_385,plain,
sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))) = sK8,
inference(cnf_transformation,[],[f137]) ).
tcf(c_386,plain,
sum(pred(sK36),sum(succ(sK34),sum(pred(sK37),succ(sK35)))) = sK9,
inference(cnf_transformation,[],[f136]) ).
tcf(c_387,plain,
sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))) = sK10,
inference(cnf_transformation,[],[f135]) ).
tcf(c_388,plain,
sum(pred(sK40),sum(succ(sK38),sum(pred(sK41),succ(sK39)))) = sK11,
inference(cnf_transformation,[],[f134]) ).
tcf(c_389,plain,
sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))) = sK12,
inference(cnf_transformation,[],[f133]) ).
tcf(c_390,plain,
sum(pred(sK44),sum(succ(sK42),sum(pred(sK45),succ(sK43)))) = sK13,
inference(cnf_transformation,[],[f132]) ).
tcf(c_391,plain,
sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))) = sK14,
inference(cnf_transformation,[],[f131]) ).
tcf(c_392,plain,
sum(pred(sK48),sum(succ(sK46),sum(pred(sK49),succ(sK47)))) = sK15,
inference(cnf_transformation,[],[f130]) ).
tcf(c_393,plain,
sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))) = sK16,
inference(cnf_transformation,[],[f129]) ).
tcf(c_394,plain,
sum(pred(sK52),sum(succ(sK50),sum(pred(sK53),succ(sK51)))) = sK17,
inference(cnf_transformation,[],[f128]) ).
tcf(c_395,plain,
sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))) = sK18,
inference(cnf_transformation,[],[f127]) ).
tcf(c_396,plain,
sum(pred(sK56),sum(succ(sK54),sum(pred(sK57),succ(sK55)))) = sK19,
inference(cnf_transformation,[],[f126]) ).
tcf(c_397,plain,
sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))) = sK20,
inference(cnf_transformation,[],[f125]) ).
tcf(c_398,plain,
sum(pred(sK60),sum(succ(sK58),sum(pred(sK61),succ(sK59)))) = sK21,
inference(cnf_transformation,[],[f124]) ).
tcf(c_399,plain,
( ( sK20 != sK21 )
| ( sK18 != sK19 )
| ( sK16 != sK17 )
| ( sK14 != sK15 ) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_402,plain,
n0 != n3,
inference(cnf_transformation,[],[f120]) ).
tcf(c_443,plain,
n3 != n5,
inference(cnf_transformation,[],[f79]) ).
tcf(c_449,plain,
n3 != n11,
inference(cnf_transformation,[],[f73]) ).
tcf(c_453,plain,
n3 != n15,
inference(cnf_transformation,[],[f69]) ).
tcf(c_461,plain,
n4 != n12,
inference(cnf_transformation,[],[f61]) ).
tcf(c_468,plain,
n5 != n9,
inference(cnf_transformation,[],[f54]) ).
tcf(c_469,plain,
n5 != n10,
inference(cnf_transformation,[],[f53]) ).
tcf(c_470,plain,
n5 != n11,
inference(cnf_transformation,[],[f52]) ).
tcf(c_473,plain,
n5 != n14,
inference(cnf_transformation,[],[f49]) ).
tcf(c_474,plain,
n5 != n15,
inference(cnf_transformation,[],[f48]) ).
tcf(c_512,plain,
n11 != n14,
inference(cnf_transformation,[],[f10]) ).
tcf(c_519,plain,
n14 != n15,
inference(cnf_transformation,[],[f3]) ).
tcf(c_1533,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_519,c_512,c_474,c_473,c_470,c_469,c_468,c_461,c_453,c_449,c_443,c_402,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
% 0.00/0.02 % Problem : NUM378+1.015.010 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.41 % Computer : n014.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Thu Sep 24 03:47:48 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46
% 0.20/0.46 % ======== iProver multi-core TPTP/SMT =========
% 0.20/0.46
% 0.20/0.46 % Detected problem language: tptp
% 0.20/0.47 % Proving...
% 7.51/1.81 % SZS status Started for theBenchmark.p
% 7.51/1.81 % SZS status Unsatisfiable for theBenchmark.p
% 7.51/1.81
% 7.51/1.81 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.51/1.81
% 7.51/1.81 % ------ iProver source info
% 7.51/1.81
% 7.51/1.81 % git: date: 2026-07-19 20:42:38 +0200
% 7.51/1.81 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.51/1.81 % git: non_committed_changes: false
% 7.51/1.81
% 7.51/1.81 % ------ Parsing...
% 7.51/1.81 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.51/1.81
% 7.51/1.81 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 7.51/1.81
% 7.51/1.81 % ------ Preprocessing...%
% 7.51/1.81
% 7.51/1.81 % SZS status Unsatisfiable for theBenchmark.p
% 7.51/1.81
% 7.51/1.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.51/1.83
% 7.51/1.83
%------------------------------------------------------------------------------